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Some observations on infinite series. (Catalan) Zbl 0598.10002

This article belongs to a collection of papers dedicated to L. Euler’s bícentennial (1707–1783) and surveys Euler’s contributions to elementary and analytic number theory. Chapter headings are roughly: (1) Introduction; (2.1)-(2.5) Perfect numbers, Fermat numbers, continued fractions; Fermat’s equation and other Diophantine equations, Euler and Bachet; (3.1)-(3.6) Riemann’s zeta-function; functional equation; gamma function; further development of Euler’s ideas: B. Riemann; the zeta- function and the prime number theorem; (4) Origins of the theory of partitions.

MSC:

11-03 History of number theory
01A50 History of mathematics in the 18th century

Biographic References:

Euler, L.; Riemann, B.
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