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Proceedings of the American Mathematical Society

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


Author: David Goss
Journal: Proc. Amer. Math. Soc. 81 (1981), 513-517
MSC: Primary 10H05
DOI: https://doi.org/10.1090/S0002-9939-1981-0601719-8
MathSciNet review: 601719
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0601719-8
Article copyright: © Copyright 1981 American Mathematical Society