OpenLLM-France/wikimedia huggingface dataset:
# Witten zeta function

In mathematics, the Witten zeta function, is a function associated to a root system that encodes the degrees of the irreducible representations of the corresponding Lie group. These zeta functions were introduced by Don Zagier who named them after Edward Witten's study of their special values (among other things). Note that in, Witten zeta functions do not appear as explicit objects in their own right.

## Definition

If $G$ is a compact semisimple Lie group, the associated Witten zeta function is (the meromorphic continuation of) the series
    $\zeta _{G}(s)=\sum _{\rho }{\frac {1}{(\dim \rho )^{s}}},$
where the sum is over equivalence classes of irreducible representations of $G$.
In the case where $G$ is connected and simply connected, the correspondence between representations of $G$ and of its Lie algebra, together with the Weyl dimension formula, implies that $\zeta _{G}(s)$ can be written as
    $\sum _{m_{1},\dots ,m_{r}>0}\prod _{\alpha \in \Phi ^{+}}{\frac {1}{\langle \alpha ^{\lor },m_{1}\lambda _{1}+\cdots +m_{r}\lambda _{r}\rangle ^{s}}},$
where $\Phi ^{+}$ denotes the set of positive roots, $\{\lambda _{i}\}$ is a set of simple roots and $r$ is the rank.

## Examples

* $\zeta _{SU(2)}(s)=\zeta (s)$, the Riemann zeta function.
* $\zeta _{SU(3)}(s)=\sum _{x=1}^{\infty }\sum _{y=1}^{\infty }{\frac {1}{(xy(x+y)/2)^{s}}}.$

## Abscissa of convergence

If $G$ is simple and simply connected, the abscissa of convergence of $\zeta _{G}(s)$ is $r/\kappa$, where $r$ is the rank and $\kappa =|\Phi ^{+}|$. This is a theorem due to Alex Lubotzky and Michael Larsen. A new proof is given by Jokke Häsä and Alexander Stasinski
which yields a more general result, namely it gives an explicit value (in terms of simple combinatorics) of the abscissa of convergence of any "Mellin zeta function" of the form
$\sum _{x_{1},\dots ,x_{r}=1}^{\infty }{\frac {1}{P(x_{1},\dots ,x_{r})^{s}}},$
where $P(x_{1},\dots ,x_{r})$ is a product of linear polynomials with non-negative real coefficients.

## Singularities and values of the Witten zeta function associated to SU(3)

$\zeta _{SU(3)}$ is absolutely convergent in $\{s\in \mathbb {C} ,\Re (s)>2/3\}$, and it can be extended meromorphicaly in $\mathbb {C}$. Its singularities are in ${\Bigl \{\frac {2}{3}}{\Bigr \}}\cup {\Bigl \{\frac {1}{2}}-k,k\in \mathbb {N} {\Bigr \}},$ and all of those singularities are simple poles. In particular, the values of $\zeta _{SU(3)}(s)$ are well defined at all integers, and have been computed by Kazuhiro Onodera.
At $s=0$, we have $\zeta _{SU(3)}(0)={\frac {1}{3}},$ and $\zeta _{SU(3)}'(0)=\log(2^{4/3}\pi ).$
Let $a\in \mathbb {N} ^{*}$ be a positive integer. We have
$\zeta _{SU(3)}(a)={\frac {2^{a+2}}{1+(-1)^{a}2}}\sum _{k=0}^{[a/2]}{2a-2k-1 \choose a-1}\zeta (2k)\zeta (3a-k).$
If a is odd, then $\zeta _{SU(3)}$ has a simple zero at $s=-a,$ and
$\zeta _{SU(3)}'(-a)={\frac {2^{-a+1}(a!)^{2}}{(2a+1)!}}\zeta '(-3a-1)+2^{-a+2}\sum _{k=0}^{(a-1)/2}{a \choose 2k}\zeta (-a-2k)\zeta '(-2a+2k).$
If a is even, then $\zeta _{SU(3)}$ has a zero of order $2$ at $s=-a,$ and
$\zeta _{SU(3)}''(-a)=2^{-a+2}\sum _{k=0}^{a/2}{a \choose 2k}\zeta '(-a-2k)\zeta '(-2a+2k).$
# Emiliano Estrada

Emiliano Estrada (born 12 April 1986) is an Argentine economist and politician who is a National Deputy elected in Salta Province since 2021. He is a member of the Justicialist Party. Estrada was Minister of Economy of Salta Province under Governor Juan Manuel Urtubey from 2017 to 2019.
In 2023, he unsuccessfully ran for governor of Salta, placing third with 16.16% of the vote.

## Biography

Estrada is the second child of 3, and was an economist before he was elected in 2021.

## Electoral history
### Executive

Electoral history of Emiliano Estrada :
| Election | Office | List | List | Votes | Votes | Votes | Result | Ref. |
| Election | Office | List | List | Total | % | P. | Result | Ref. |
| 2019 | Vice Governor of Salta | | Frente de Todos | 184,987 | 26.30% | 2nd | Not elected | |
| 2023 | Governor of Salta | | Avancemos | 114,867 | 16.16% | 3rd | Not elected | |

### Legislative

Electoral history of Emiliano Estrada :
| Election | Office | List | List | # | District | Votes | Votes | Votes | Result | Ref. |
| Election | Office | List | List | # | District | Total | % | P. | Result | Ref. |
| 2021 | National Deputy | | Frente de Todos | 1 | Salta | 205,853 | 32.81% | 1st | Elected | |
* ↑ Presented on an electoral list. The data shown represents the share of the vote the entire party/alliance received in that constituency.
# Éden Pedroso

Éden José Rodrigues Pedroso (15 May 1943 – 7 November 2024) was a Brazilian politician. A member of the Democratic Labour Party, he served in the Legislative Assembly of Rio Grande do Sul from 1987 to 1991 and in the Chamber of Deputies from 1991 to 1995.
Pedroso died in Porto Alegre on 7 November 2024, at the age of 81.
# Dowty Propellers

Dowty Propellers is a British engineering company based in Brockworth, Gloucestershire that specialises in the manufacture, repair and overhaul of propellers and propeller components for customers around the world. It is owned by GE Aerospace.

## History

The company was formed as Rotol Airscrews in 1937 by Rolls-Royce and Bristol Engines to take over both companies' propeller development, the market being too small to support more than one company. The name is a contraction of "Rolls-Royce" and "Bristol". Rotol's propellers were always considered leading edge, its models equipping the Hawker Hurricane, Supermarine Spitfire, and many other Second World War-era aircraft. By the end of the war it had introduced the first five-bladed propeller to see widespread use, used on late-model Spitfires. In 1943 the company changed its name from Rotol Airscrews Limited to Rotol Limited, and in 1952 it acquired British Messier Limited, a specialist in landing gear and hydraulics.
In 1958, Bristol Aeroplane and Rolls-Royce agreed to sell Rotol and British Messier to the Dowty Group. By 1959 Rotol and British Messier along with Dowty Equipment and Dowty Fuel Systems became part of the new Dowty Aviation Division based at Cheltenham.
In 1968, the company introduced the first fibreglass propellers, which went on to see widespread use. Since then it has migrated to carbon fibre, and remains a leader in propeller design.
Following a series of changes of ownership, the original Dowty Rotol facility at Staverton is now owned by the Safran Group, operating as part of its Messier-Bugatti-Dowty landing gear subsidiary (now known as Safran Landing Systems). Propeller design and manufacture was moved a few hundred metres down the road when the company was split into business units under its Dowty ownership in the early 1990s. On 16 January 2007, Dowty Propellers became part of GE Aviation Systems through GE buying Smiths Group’s aerospace division.
On 5 February 2015, a fire at Dowty's Staverton facility caused severe damage to 80% of the factory building, destroying the main production line. A facility at Vantage Point Business Village in Mitcheldean, Gloucestershire, was selected for the company's interim propeller blade manufacturing. In late 2019, the company began moving its operations to an all-new purpose-built facility at Gloucester Business Park in Brockworth, on part of the site of the former aerodrome used by the Gloster Aircraft Company.

## Operations

Dowty propellers are used on many turboprop feederliners, including the Bombardier Dash 8 Q400, Saab 340 and Saab 2000, and on turboprop transport aircraft such as later models of the C-130J and Alenia C-27J. Dowty propellers can also be found on LCACs used by the militaries of several countries. The US National Air and Space Museum's Udvar Hazy Center, Virginia, has a Dowty propeller on display.
# Mariken van Nieumeghen

Mariken van Nieumeghen ("Mary of Nijmegen") is a miracle play recorded in a Middle Dutch text from the early 16th century. The protagonist Mariken of the story spends seven years with the devil, after which she is miraculously released. The oldest edition dates from 1515 and was printed by Willem Vorsterman. Linguistic evidence suggests it was written by a poet from an Antwerp chamber of rhetoric.

## Themes and genre

Like the fourteenth-century Beatrijs, the story involves a beautiful young woman who is seduced, but unlike that poem Mariken has a lively, "Burgundian" style in often lower-class language, as opposed to the courtly elegance of the Beatrijs.
Though the story is often called a miracle play, Dirk Coigneau, in his 2002 edition, argues that the story was not intended as a drama; he likens its organization (the text is separated into sections where verse dialogues are preceded by prose introductions) to that of a prose novel.

## History

The earliest known version, printed in 1515 in Antwerp (found in the Bavarian State Library, Munich) is designated A. The story was popular enough to become widespread very quickly. An English translation was printed by Antwerp printer Jan van Doesborch, as of... Mary of Nemmegen in the early-sixteenth century--this manuscript is usually designated D. The actual origins of the story are not well known, though in 2009 Dirk Coigneau proposed that it may originate in Syria, claiming as evidence a sixth-century novella about the fourth-century Assyrian Saint Abraham, a text which Coigneau claims shows many similarities with the Mariken.

## Later translations and adaptations

A Latin version was included by Hadrianus Lyraeus in his Trisagion Marianum (1648), and ended up in the Italian book Sabati del Giesù di Roma by P. Joannes Rho (1655), from which it traveled to the Marianischer Gnaden- und Wunderschatz (Augsburg 1737) and finally in Alphonsus Maria de Liguori's Italian Glorie di Maria (1750). Luise von Ploennies made a German Faust out of her (1853). Eugen d'Albert wrote an opera in 1923 (libretto by Herbert Alberti), Mareike von Nymwegen, in 1923. The book was translated into German (1918 and 1950), English (1924), French (1929), and Norwegian (1975), and adapted for radio in Afrikaans.
The story was popular in the Middle East as well. In 2008, Herman Teule, professor of Eastern Christianity at Radboud University Nijmegen, discovered an 1821 translation in Syrian, which turned out to be a popular translation of an Italian version, distributed by Christian missionaries.
The story has been adapted for film twice, in 1974 by Jos Stelling and in 2000 by André van Duren, the latter based on a Peter van Gestel's adaptation of the story in children's book Mariken.
# Andrzej Białynicki-Birula

Andrzej Białynicki-Birula (26 December 1935 – 19 April 2021) was a Polish mathematician, best known for his work on algebraic geometry. He was considered one of the pioneers of differential algebra. He was a member of the Polish Academy of Sciences. Białynicki-Birula was married to a paleontologist and phylogeneticist Magdalena Borsuk-Białynicka.
Białynicki-Birula was born in Nowogrodek, Polish Republic, currently known as Navahrudak, West Belarus. His elder brother, Iwo Białynicki-Birula [pl], was born two years earlier and is a theoretical physicist and a fellow member of the Polish Academy of Sciences.
Białynicki-Birula received his Ph.D. from the University of California, Berkeley in 1960. His thesis was written under the direction of Gerhard Hochschild. Since 1970, he was Professor of Mathematics at Warsaw University, in 1977-1980 — Dean of the Faculty of Mathematics, Mechanics and Information; 1987-1990 — Vice Rector.
# Steve James (rugby)

Stephen Leslie Keith James (born 23 July 1960 in Darlinghurst, New South Wales) is a former Australian rugby union player and currently, rugby league coach. He played as a fly-half.

## Career

Between 1983 and 1989, James was part of the New South Wales representative team, for which he played 10 times. James debuted for the Wallabies immediately before the 1987 Rugby World Cup against Korea, and then, during the tournament, he disputed only the match against England in the pool stage; later, he disputed the Bledisloe Cup in 1987 and in 1988, his last cap. After his retirement, James moved to a coaching career: from 2004 to 2006, he coached Carlingford Cougars, a rugby league team from Balmain in New South Wales, and was part of Balmain Tigers' coaching staff.
# Nondumiso Shangase

Nondumiso Precious Shangase (born 5 April 1996) is a South African cricketer who plays as a right-arm off break bowler.

## Career

In April 2019, she was named in South Africa's squads for their series against Pakistan. She made her Women's Twenty20 International (WT20I) debut for South Africa against Pakistan on 19 May 2019.
In September 2019, she was named in the Terblanche XI squad for the inaugural edition of the Women's T20 Super League in South Africa. In the same month, she was named in South Africa's Women's One Day International (WODI) squad for their series against India. She made her WODI debut for South Africa, against India, on 9 October 2019. In January 2020, she was named in South Africa's squad for the 2020 ICC Women's T20 World Cup in Australia. On 23 July 2020, Shangase was named in South Africa's 24-woman squad to begin training in Pretoria, ahead of their tour to England.
In April 2021, she was part of the South African Emerging Women's squad that toured Bangladesh.
Shangase was named in the South Africa squad for the T20 part of their multi-format home series against England in November 2024.
# Otto Schiff (humanitarian)

Otto Moritz Schiff CBE (8 May 1875 in Frankfurt – 15 November 1952 in London) was a British Jewish banker and philanthropist. For his work with refugees and for public services, he successively received the OBE (1920), MBE (1924) and CBE (1939). He was posthumously recognised as a British Hero of the Holocaust.

## Life and activity

Otto Schiff was the son of a banker and a nephew of Jacob Schiff (1847–1920), a German-born New York investment banker. In 1896, at the age of twenty-one, he immigrated to London, where he became a partner in the merchant banking firm Bourke, Schiff and Co. His younger brother Ernst followed. Together, in the First World War, the brothers ran shelters for Belgian refugees. Ernst Schiff received an MBE as manager of the Poland Street Refuge for Belgian Refugees in 1918.
From 1927 to 1948, Schiff was president of the Jews' Temporary Shelter in City of London. This originally served as the first port of call for Jews from Eastern Europe who fled from there to Great Britain to avoid political persecution by the Russian Tsarist regime and later by the Bolsheviks.
From 1933 Schiff served as chairman of the Jewish Refugees Committee, which was created in March of that year (German-Jewish Aid Committee from 1938, operating under the original name again from 1939). He helped numerous Jewish refugees to settle in Britain. He convinced the British government to allow the entry of Jewish refugees in return for the assurance that any costs would not be borne by the state, but would be borne by the Jewish communities and organizations.
In 1920 Otto Schiff became a Member of the Order of the British Empire for his work with war refugees. In 1924 he became an Officer of the Order of the British Empire for public services. He, as chairman of the German Jewish Aid Committee, became a Commander of the Order of the British Empire in the 1939 Birthday Honours.
In 1940, Schiff was placed on 'the Black Book' (Sonderfahndungsliste G.B. "Special Search List Great Britain"), a list of 2,820 persons who were to be arrested by the SS in the event of a German occupation of Britain.
In 2018 Schiff was posthumously awarded the medal of a British Hero of the Holocaust.
# Beniamino Brocca

Beniamino Brocca (5 October 1934 – 25 September 2024) was an Italian politician. A member of Christian Democracy, he served in the Chamber of Deputies from 1976 to 1992.
Brocca died in Rome on 25 September 2024, at the age of 89.
# Carlos do Amaral Freire

Carlos do Amaral Freire (Dom Pedrito, 27 October 1931 – 17 October 2020) was a Brazilian scholar, linguist and translator. Renowned for his linguistic prowess, Freire mastered more than 30 languages. He had the theoretical and practical knowledge necessary to communicate in these languages, and he was capable of translating, reading, and writing in them. Throughout his life, he studied over 120 languages, although he had half-forgotten many of them, requiring some review to regain conversational proficiency. Despite this, he continued to study two new languages each year.
Freire's Babel de Poemas is an anthology featuring translations of poems from 60 languages. It was inspired by the book in Esperanto Diverskolora Bukedeto, authored by František Lorenz.

## Publications

* Babel de Poemas (ISBN 85-254-1351-8)
* Los fonemas oclusivos y africados del aymara y del georgiano: un estudio contrastivo
# Pablo Urbina

Pablo Urbina (born June 28, 1988, in Vitoria-Gasteiz, Spain) is a Spanish conductor.

## Early life and education

Pablo grew up in Pamplona, Spain.
In 2014, Urbina completed his Master of Music degree at the Royal College of Music in London, studying with Peter Stark.

## Conducting career

Pablo Urbina has conducted orchestras including the RTVE Symphony Orchestra, Royal Liverpool Philharmonic Orchestra, The Hallé,Ulster Orchestra, Castilla y Leon Symphony Orchestra, Málaga Philharmonic, Waco Symphony Orchestra, and Orquestra do Algarve.
From 2013 to 2019, he was the music director of the London City Orchestra.
From 2020 to 2021, he was assistant conductor of the Balearic Symphony Orchestra, working with Pablo Mielgo.
Since 2019, he has been principal conductor of London-based Orchestra Vitae.
In March 2023, he was awarded Third Prize at the Siemens Hallé International Conductor's Competition, working with The Hallé Orchestra.

## Charity work

Urbina is an Ambassador of the UK charity The Amber Trust, helping blind and visually impaired children to pursue musical studies. He is also a Trustee of the London City Orchestra.

## Discography

In 2016, his tribute concert with the Málaga Philharmonic for American composer Michael Kamen was released by Quartet Records
In 2020, he recorded the soundtrack for the new exhibition of Gaudí's Casa Batlló in Barcelona, and in 2021 he recorded half of the debut album of composer Dani Howard, with Royal Liverpool Philharmonic, which was released in 2024.

## Performing career

As a French horn player, Urbina was a member of the Cataleya Quintet from 2011 to 2017. He joined the San Diego Youth Symphony as associate principal French horn in 2005, and played with the American Youth Symphony.

## Personal life

Pablo Urbina married the British composer Dani Howard in 2022.
# Evil Empire

An evil empire is a speculative fiction trope.
Evil Empire may also refer to:

## Arts and entertainment

* Evil Empire (album), by Rage Against the Machine, 1996
* The Evil Empire: 101 Ways That England Ruined the World, a 2007 book by Steven Grasse
* "Evil Empire", a 1989 song by Joe Jackson from Blaze of Glory
* Evil Empire (company), a French video game development studio spun off from Motion Twin

## Sports teams with the nickname

* Edmonton Elks, Canadian Football League
* New England Patriots, National Football League
* New York Yankees, Major League Baseball
# Out Hud

Out Hud was an American electronic band formed in 1996 in the Bay Area of California and later based in New York City. The band consisted of guitarist Nic Offer, bassist Tyler Pope, cellist Molly Schnick, vocalist/drummer Phyllis Forbes and mixer Justin Van Der Volgen. Pope, Offer, and Van Der Volgen are also members of the similar band !!!. Their first album, S.T.R.E.E.T. D.A.D., was instrumental. For their second album, Let Us Never Speak Of It Again, the group added vocals to their music, with Forbes singing lead while a drum machine filled in her usual role, assisted with Schnick on backing vocals.
Shortly after the release of their second album, it was announced that Pope would not be joining the band on tour, and instead would be concentrating on James Murphy's dance-punk band LCD Soundsystem. It was then announced in September 2005 that a concert in New York might be their last show.
Molly Schnick is now working as a solo artist known as Jean on Jean. She released her self-titled debut album in 2008 on Kanine Records.
The song "How Long" was featured in the movie I Know Who Killed Me starring Lindsay Lohan.

## Name

The band has suggested that they do not know what the band name means, although this may be said humorously. It may be a distortion, and past or past participle form of, the verb "outhear," which means, according to Wiktionary, "to hear more acutely than."

## Discography
### Albums

* S.T.R.E.E.T. D.A.D. (Kranky, 2002, CD/LP)
* Let Us Never Speak of It Again (Kranky, 2005, CD/LP)

### EPs and singles

* "Guilty Party" (Red Alert Works, 1997 7")
* "Natural Selection" (Gold Standard Labs, 1997, 7")
* "First Song We Ever Wrote" (Dead Turtle Records 1999)
* GSL26/LAB SERIES VOL. 2 EP split with !!! (Gold Standard Labs, 1999, 12")
* "The First Single of the New Millennium" (5RC, 2000, 7")
* "One Life to Leave" (Kranky, 2005, 12"/CD)
* "It's for You" (Kranky, 2005, 12"/CD)
# Evgeny Agranovich

Evgeny Danilovich Agranovich (Russian: Евге́ний Дани́лович Аграно́вич, IPA: ; 13 October 1918, Oryol, Russia – 29 January 2010, Moscow, Russia) was a Soviet poet and bard.
He was an alumnus of the Maxim Gorky Literature Institute. Eugeny Agranovich wrote many popular Russian songs including "Одесса-мама" (Odessa-mama, Odessa the Mother), "Я в весеннем лесу пил берёзовый сок" (Ya v vessennem lesu pil beryozovy sok, I Drank a Birch Sap in the Spring Forest), and "Вечный огонь" (Vechny Ogon, The Eternal Flame).
# Gabriela Lena

Gabriela Lena is an Argentine politician who is a member of the Chamber of Deputies of Argentina.

## Biography

Lena worked as a Clerk before she was elected in 2019.
# Robert Kościelny

Robert Kościelny (2 April 1961 – 9 September 2024) was a Polish engineer and politician. A member of the Confederation of Independent Poland, he served in the Sejm from 1993 to 1997.
Kościelny died on 9 September 2024, at the age of 63.
# Teto (footballer)

Alberto Martín Díaz (born 13 September 2001), commonly known as Teto, is a Spanish footballer who plays as a right winger for CD Tenerife.

## Club career

Born in Santa Cruz de Tenerife, Canary Islands, Teto joined CD Tenerife's youth setup in 2011, aged nine. He made his senior debut with the reserves on 20 March 2021, coming on as a second-half substitute and scoring his team's second in a 2–0 Tercera División away win over Atlético Unión Güímar.
Teto made his first team debut on 2 December 2021, replacing Emmanuel Apeh in the extra time of a 2–1 away win over CD Ibiza Islas Pitiusas, the season's Copa del Rey. His professional debut occurred the following 13 August, as he replaced Samuel Shashoua late into a 2–1 loss at SD Eibar in the Segunda División.
Teto scored his first professional goal on 19 September 2022, netting his team's third in a 3–1 home win over Málaga CF. On 11 November, after establishing himself as a regular in the first team, he renewed his contract until 2027.
# Okamura N-52

The Okamura N-52 is a low-wing, side-by-side seating sport aircraft, that was designed in Japan by students.

## Development

The N-52 Started as a design experiment at Nihon University. Three test airframes were funded by Asahi Press for analysis.

## Design

The N-52 is powered by a Continental A-65 engine. The aircraft features a single open cockpit with side-by-side seating and a taildragger landing gear. The aircraft was designed to accommodate up to 100 hp (75 kW) engines. Controllability with a 65 hp (48 kW) engine was considered sluggish.

## Specifications (Okamura N-52)

Data from Sport Aviation
General characteristics
* Crew: one
* Capacity: one passenger
* Length: 5.99 m (19 ft 8 in)
* Wingspan: 8.61 m (28 ft 3 in)
* Height: 2.59 m (8 ft 6 in)
* Wing area: 12.0 m$^2$ (129 sq ft)
* Empty weight: 299 kg (660 lb)
* Gross weight: 499 kg (1,100 lb)
* Powerplant: 1 × Continental A-65 air-cooled four-cylinder horizontally-opposed engine, 48 kW (65 hp)
Performance
* Maximum speed: 180 km/h (110 mph, 96 kn)
* Stall speed: 79 km/h (49 mph, 43 kn)
* Rate of climb: 2.8 m/s (550 ft/min)