Question: Where did the mathematician who found Euler's formula die?

full_context: Document 1: Prime number: The zeta function is closely related to prime numbers. For example, the aforementioned fact that there are infinitely many primes can also be seen using the zeta function: if there were only finitely many primes then ζ(1) would have a finite value. However, the harmonic series 1 + 1/2 + 1/3 + 1/4 + ... diverges (i.e., exceeds any given number), so there must be infinitely many primes. Another example of the richness of the zeta function and a glimpse of modern algebraic number theory is the following identity (Basel problem), due to Euler,
Document 2: Johann III Bernoulli: Johann III Bernoulli (also known as Jean; 4 November 1744, Basel – 13 July 1807, Berlin), grandson of Johann Bernoulli, and son of Johann II Bernoulli. He was known around the world as a child prodigy. He studied at Basel and at Neuchâtel, and when thirteen years of age took the degree of doctor in philosophy. When he was fourteen, he got the degree of master of jurisprudence. At nineteen he was appointed astronomer royal of Berlin. A year later, he reorganized the astronomical observatory at the Berlin Academy. Some years after, he visited Germany, France and England, and subsequently Italy, Courland, Russia and Poland. His travel accounts were of great cultural and historical importance (1772–1776; 1777–1779; 1781). He wrote about Kashubians.
Document 3: Cartesian coordinate system: The invention of Cartesian coordinates in the 17th century by René Descartes (Latinized name: Cartesius) revolutionized mathematics by providing the first systematic link between Euclidean geometry and algebra. Using the Cartesian coordinate system, geometric shapes (such as curves) can be described by Cartesian equations: algebraic equations involving the coordinates of the points lying on the shape. For example, a circle of radius 2, centered at the origin of the plane, may be described as the set of all points whose coordinates x and y satisfy the equation x + y = 4.
Document 4: Euler's formula: Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that for any real number :
Document 5: Roger Cotes: Roger Cotes FRS (10 July 1682 – 5 June 1716) was an English mathematician, known for working closely with Isaac Newton by proofreading the second edition of his famous book, the "Principia", before publication. He also invented the quadrature formulas known as Newton–Cotes formulas and first introduced what is known today as Euler's formula. He was the first Plumian Professor at Cambridge University from 1707 until his death.
Document 6: Laplace transform: In mathematics, the Laplace transform is an integral transform named after its inventor Pierre-Simon Laplace (). It transforms a function of a real variable (often time) to a function of a complex variable (complex frequency). The transform has many applications in science and engineering.
Document 7: Simon Antoine Jean L'Huilier: Simon Antoine Jean L'Huilier (or L'Huillier) (24 April 1750 in Geneva – 28 March 1840 in Geneva) was a Swiss mathematician of French Hugenot descent. He is known for his work in mathematical analysis and topology, and in particular the generalization of Euler's formula for planar graphs.
Document 8: 1 − 2 + 3 − 4 + ⋯: Cesàro's teacher, Eugène Charles Catalan, also disparaged divergent series. Under Catalan's influence, Cesàro initially referred to the "conventional formulas" for 1 − 2n + 3n − 4n + ... as "absurd equalities", and in 1883 Cesàro expressed a typical view of the time that the formulas were false but still somehow formally useful. Finally, in his 1890 Sur la multiplication des séries, Cesàro took a modern approach starting from definitions.The series are also studied for non-integer values of n; these make up the Dirichlet eta function. Part of Euler's motivation for studying series related to 1 − 2 + 3 − 4 + ... was the functional equation of the eta function, which leads directly to the functional equation of the Riemann zeta function. Euler had already become famous for finding the values of these functions at positive even integers (including the Basel problem), and he was attempting to find the values at the positive odd integers (including Apéry's constant) as well, a problem that remains elusive today. The eta function in particular is easier to deal with by Euler's methods because its Dirichlet series is Abel summable everywhere; the zeta function's Dirichlet series is much harder to sum where it diverges. For example, the counterpart of 1 − 2 + 3 − 4 + ... in the zeta function is the non-alternating series 1 + 2 + 3 + 4 + ..., which has deep applications in modern physics but requires much stronger methods to sum.
Document 9: Hermite's identity: In mathematics, Hermite's identity, named after Charles Hermite, gives the value of a summation involving the floor function. It states that for every real number "x" and for every positive integer "n" the following identity holds:
Document 10: Fourier analysis: In mathematics, Fourier analysis () is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer.
Document 11: Basel problem: .The sum of the series is approximately equal to 1.644934. The Basel problem asks for the exact sum of this series (in closed form), as well as a proof that this sum is correct. Euler found the exact sum to be π2/6 and announced this discovery in 1735. His arguments were based on manipulations that were not justified at the time, although he was later proven correct, and it was not until 1741 that he was able to produce a truly rigorous proof.
Document 12: Johann II Bernoulli: Johann II Bernoulli (18 May 1710, Basel – 17 July 1790, Basel; also known as Jean) was the youngest of the three sons of Johann Bernoulli. He studied law and mathematics, and, after travelling in France, was for five years professor of eloquence in the university of his native city. In 1736 he was awarded the prize of the French Academy for his suggestive studies of aether. On the death of his father he succeeded him as professor of mathematics in the University of Basel. He was thrice a successful competitor for the prizes of the Academy of Sciences of Paris. His prize subjects were the capstan, the propagation of light, and the magnet. He enjoyed the friendship of P. L. M. de Maupertuis, who died under his roof while on his way to Berlin. He himself died in 1790. His two sons, Johann and Jakob, are the last noted mathematicians of the Bernoulli family.
Document 13: Nicolas Fuss: Fuss was born in Basel, Switzerland. He moved to Saint Petersburg to serve as a mathematical assistant to Leonhard Euler from 1773–1783, and remained there until his death. He contributed to spherical trigonometry, differential equations, the optics of microscopes and telescopes, differential geometry, and actuarial science. He also contributed to Euclidean geometry, including the problem of Apollonius.
Document 14: Ernst Ruh: Ernst Ruh received his doctorate in 1964 from Brown University under Katsumi Nomizu with thesis "On the Automorphism Groups of a G-structure". He is a professor at Ohio State University and a professor of computer science at the University of Basel (1987/89). In 1990 Ruh became a full professor (professor ordinarius) of mathematics at the University of Fribourg; he was the successor of Josef Schmid. In 2006 he retired as professor emeritus.
Document 15: Lie product formula: In mathematics, the Lie product formula, named for Sophus Lie (1875), states that for arbitrary "n" × "n" real or complex matrices "A" and "B",
ground_truth: Saint Petersburg
sub_queries: Who found Euler's formula? Answer: Leonhard Euler
Leonhard Euler >> place of death Answer: Saint Petersburg