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- Title
Further Insights into the Mysteries of the Values of Zeta Functions at Integers.
- Authors
Mináč, Ján; Nguyen, Tung T.; Tân, Nguyễn Duy
- Abstract
We present a remarkably simple and surprisingly natural interpretation of the values of zeta functions at negative integers and zero. Namely, we are able to relate these values to areas related to partial sums of powers. We apply these results to further interpretations of values of L-functions at negative integers. We hint in a very brief way at some expected connections of this work with other current efforts to understand the mysteries of the values of zeta functions at integers.
- Subjects
ZETA functions; INTEGERS; RIEMANN hypothesis; BERNOULLI numbers; BERNOULLI polynomials; L-functions; DEDEKIND sums
- Publication
Mathematica Slovaca, 2023, Vol 73, Issue 4, p887
- ISSN
0139-9918
- Publication type
Article
- DOI
10.1515/ms-2023-0066