title: Finding p-adic zeroes of the Kubota-Leopoldt zeta-function numerically

authors: Alharbi, Nof Turki S

subjects: zeroes of p-adic L-function

abstract: We first establish why the p-adic zeta function has a Dirichlet series expansion. We then compute an improved expansion, which allows us to express it as a power-series modulo pⁿ. Using this expansion, we compute all the zeros of L₋p(s, χωʲ) for those quadratic characters χ of conductor < 200.

text: Finding p-adic zeroes of the Kubota-Leopoldt zeta-function numerically We first establish why the p-adic zeta function has a Dirichlet series expansion. We then compute an improved expansion, which allows us to express it as a power-series modulo pⁿ. Using this expansion, we compute all the zeros of L₋p(s, χωʲ) for those quadratic characters χ of conductor < 200.

year: 2014

title: Conclusion

authors: Zirker, Daniel

abstract: Two critical points are highlighted in this examination of what we have chosen to call "quasi-ethnic identities" in military establishments: First, that although the emergence of this phenomenon has been, at best, gradual and incomplete, it has been increasingly aided by a global learning curve; and second, that its goal or strategy, the strengthening of military autonomy and bargaining power, includes the further isolation and alienation of the military from mainstream society, and hence from democratic practices. As to the first point, information exchange is now so rapid and so pervasive that even a relatively remote military establishment such as that of Guinea or Suriname can be fully aware within hours of developments in "military organizational engineering" across the globe. Of the cases in this volume, only Guinea, Tanzania and Algeria have fully established independently "invented" military cultures, the "quasi-ethnicities" that are the subject of this book. Of those, only Guinea has thus far been able to use its development to establish a largely separate, autonomous and independent military organization for purposes of bargaining, and maintaining a unified military position, and been able to maintain a relatively healthy budget and avoid the civil wars, albeit through a protracted military dictatorship, that have beset all of its West African neighbors.

text: Conclusion Two critical points are highlighted in this examination of what we have chosen to call "quasi-ethnic identities" in military establishments: First, that although the emergence of this phenomenon has been, at best, gradual and incomplete, it has been increasingly aided by a global learning curve; and second, that its goal or strategy, the strengthening of military autonomy and bargaining power, includes the further isolation and alienation of the military from mainstream society, and hence from democratic practices. As to the first point, information exchange is now so rapid and so pervasive that even a relatively remote military establishment such as that of Guinea or Suriname can be fully aware within hours of developments in "military organizational engineering" across the globe. Of the cases in this volume, only Guinea, Tanzania and Algeria have fully established independently "invented" military cultures, the "quasi-ethnicities" that are the subject of this book. Of those, only Guinea has thus far been able to use its development to establish a largely separate, autonomous and independent military organization for purposes of bargaining, and maintaining a unified military position, and been able to maintain a relatively healthy budget and avoid the civil wars, albeit through a protracted military dictatorship, that have beset all of its West African neighbors.

year: 2015

title: Te taiao: Te titiro a te Māori

authors: Kirby, Dean Robert

subjects: Cosmology

abstract: Ko te kaupapa o tēnei tuhinga ko te titiro a te Māori ki te taiao. He mea tuhi i runga i te aroha, i te whakapono ki ngēnei mea, ki te ātaahua o te taiao me ngā kōrero mōna. E whakatangatatia ana ngā āhuatanga o te taiao, ngā rākau, ngā manu, ngā ika, te kohu, ngā kapua, ngā maunga, otirā ngā mea katoa. Ara noa atu ngā kōrero, he whakapapa ō rātou, he huānga tētehi mea ki tētehi, he mauri tō tēnā mea tō tēnā mea. E ora ana ngā mea katoa o te ao, ka whai tamariki, he mātua he tūpuna anō, te katoa tae atu hoki ki te tangata, he wāhanga ia nō te taiao.
Hei aha tēnei tuhinga? Ko tāna mahi he whakaatu i ngēnei āhuatanga. Ā he whakamātau hoki ki te whakautu i te pātai he aha i whērā ai te titiro a ngā tūpuna ki tō rātou taiao. He kohikohingā tēnei nō ngā kōrero maha e takoto mai naka i roto i ngā pukapuka kua tāia kētia. Ehake i te mea ka kōrerotia ngā mea katoa, otiia ka tirohia noatia ngētehi āhuatanga o tēnei hanga te taiao. Kāhore i tuhia i runga i ngā kōrero ā waha a ngētehi kaikōrero, whēnā i ngētehi atu tuhinga roa. He mahi nui tērā mā tētehi atu hei whai, heoi anō tēnei he huihuinga nō ngētehi kōrero kua tuhia i mua atu.
Ka whakarārangitia ngā kōrero neki i muri ake nei. Ko tōna timatanga kei te Ōrokohanga, ko te timatanga tērā o te taiao. Ko te whenua ka whai mai me ngā kōrero mōna. Muri iho ko te wai me ngōna āhuatanga katoa. Ko te rangi, ngā mea katoa o te rangi ka whai mai i muri i tēnā. Muri iho anō ko ngā manu, ko ngā ngārara me ngā ngāngara, ngā rākau me ngā ika. Ka mutu atu i ngā tupua, i ngā taniwha me ngā patupaiarehe, i ngā kōrero mō ngērā. E iwa wāhanga nui te katoa o tēnei tuhinga. Kei te timatanga tētehi wāhanga hei whakamārama i te tuhinga ā kei te mutunga tētehi atu wāhanga hei whakatōpū, hei whakarāpopoto i ngā kōrero o roto i te puku o te tuhinga nei.
Kei ngā wāhanga o te pukapuka nei he kōrero mō tēnā mea, mō tēnā mea i raro i tōna ūpoko anō, me ngā whakaāhua e rite ana mōna. Ko te tūmanako ka kite te kaipānui i te pūrotutanga o te taiao o te Māori.

text: Te taiao: Te titiro a te Māori Ko te kaupapa o tēnei tuhinga ko te titiro a te Māori ki te taiao. He mea tuhi i runga i te aroha, i te whakapono ki ngēnei mea, ki te ātaahua o te taiao me ngā kōrero mōna. E whakatangatatia ana ngā āhuatanga o te taiao, ngā rākau, ngā manu, ngā ika, te kohu, ngā kapua, ngā maunga, otirā ngā mea katoa. Ara noa atu ngā kōrero, he whakapapa ō rātou, he huānga tētehi mea ki tētehi, he mauri tō tēnā mea tō tēnā mea. E ora ana ngā mea katoa o te ao, ka whai tamariki, he mātua he tūpuna anō, te katoa tae atu hoki ki te tangata, he wāhanga ia nō te taiao.
Hei aha tēnei tuhinga? Ko tāna mahi he whakaatu i ngēnei āhuatanga. Ā he whakamātau hoki ki te whakautu i te pātai he aha i whērā ai te titiro a ngā tūpuna ki tō rātou taiao. He kohikohingā tēnei nō ngā kōrero maha e takoto mai naka i roto i ngā pukapuka kua tāia kētia. Ehake i te mea ka kōrerotia ngā mea katoa, otiia ka tirohia noatia ngētehi āhuatanga o tēnei hanga te taiao. Kāhore i tuhia i runga i ngā kōrero ā waha a ngētehi kaikōrero, whēnā i ngētehi atu tuhinga roa. He mahi nui tērā mā tētehi atu hei whai, heoi anō tēnei he huihuinga nō ngētehi kōrero kua tuhia i mua atu.
Ka whakarārangitia ngā kōrero neki i muri ake nei. Ko tōna timatanga kei te Ōrokohanga, ko te timatanga tērā o te taiao. Ko te whenua ka whai mai me ngā kōrero mōna. Muri iho ko te wai me ngōna āhuatanga katoa. Ko te rangi, ngā mea katoa o te rangi ka whai mai i muri i tēnā. Muri iho anō ko ngā manu, ko ngā ngārara me ngā ngāngara, ngā rākau me ngā ika. Ka mutu atu i ngā tupua, i ngā taniwha me ngā patupaiarehe, i ngā kōrero mō ngērā. E iwa wāhanga nui te katoa o tēnei tuhinga. Kei te timatanga tētehi wāhanga hei whakamārama i te tuhinga ā kei te mutunga tētehi atu wāhanga hei whakatōpū, hei whakarāpopoto i ngā kōrero o roto i te puku o te tuhinga nei.
Kei ngā wāhanga o te pukapuka nei he kōrero mō tēnā mea, mō tēnā mea i raro i tōna ūpoko anō, me ngā whakaāhua e rite ana mōna. Ko te tūmanako ka kite te kaipānui i te pūrotutanga o te taiao o te Māori.

year: 1992