A simple approach to the analytic continuation and values at negative integers for Riemann’s zeta function

Goss, David

doi:10.1090/S0002-9939-1981-0601719-8

A simple approach to the analytic continuation and values at negative integers for Riemann’s zeta function
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by David Goss PDF

Proc. Amer. Math. Soc. 81 (1981), 513-517 Request permission

Abstract:

In this paper, the author presents a new approach to the subjects in the title, putting them in a new light. In fact, only integration by parts is used. This approach has two advantages: (1) it makes the $p$-adic theory seem even more natural, and (2) it is accessible to readers with only one year of basic calculus, making the subjects reachable in elementary courses.

References

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