List questions from zeta-functions

Published on 22 Mar 2026 - 2:28

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What is the idea behind zeta function regularization?

Published on 22 Mar 2026 - 2:42

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The asymptotics of the products over primes $\prod\limits_{2<p\le n}\left(1 - \frac1{p-1}\right)$

Published on 21 May 2018 - 9:09

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What is the difference between infinite product and regularized product?

Published on 05 Jun 2018 - 21:50

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(Zeta function)Regularization of a divergent integral

Published on 24 Jun 2018 - 5:50

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The alternating series of square-free k-almost prime zeta functions converges to the reciprocal zeta?

Published on 16 Jul 2018 - 12:08

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Square root of fractional part integral

Published on 22 Mar 2026 - 7:17

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Evaluation of a series involving the harmonic number

Published on 22 Mar 2026 - 9:34

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What's the series of $\sum_{n\geqslant1} \dfrac{\zeta(2n)}{n2^{2n}}$.

Published on 20 Jul 2018 - 12:57

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Convergence of alternating zeta function

Published on 22 Mar 2026 - 12:19

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On the sets of sums $\sum\limits_{n=1}^\infty\frac{a_n}{n^s}$ with $(a_n)$ periodic and integer valued, for different values of $s$ natural number

Published on 13 Aug 2018 - 9:14

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Relation between infinite product and regularized product

Published on 13 Aug 2018 - 10:30

372

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Double series convergent to $2\zeta(4)$?

Published on 22 Mar 2026 - 9:36

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Alternating series combining harmonic number and zeta values

Published on 19 Mar 2026 - 17:13

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Prime twins and $ f(z) = \sum_p \frac{\ln(p) \space \ln(p+2)}{p^{z/2} \space (p+2)^{z/2}} $

Published on 24 Mar 2026 - 8:46

List Question

Bibliography on Hecke characters

What is the idea behind zeta function regularization?

The asymptotics of the products over primes $\prod\limits_{2<p\le n}\left(1 - \frac1{p-1}\right)$

What is the difference between infinite product and regularized product?

(Zeta function)Regularization of a divergent integral

The alternating series of square-free k-almost prime zeta functions converges to the reciprocal zeta?

Square root of fractional part integral

Evaluation of a series involving the harmonic number

What's the series of $\sum_{n\geqslant1} \dfrac{\zeta(2n)}{n2^{2n}}$.

Convergence of alternating zeta function

On the sets of sums $\sum\limits_{n=1}^\infty\frac{a_n}{n^s}$ with $(a_n)$ periodic and integer valued, for different values of $s$ natural number

Relation between infinite product and regularized product

Double series convergent to $2\zeta(4)$?

Alternating series combining harmonic number and zeta values

Prime twins and $ f(z) = \sum_p \frac{\ln(p) \space \ln(p+2)}{p^{z/2} \space (p+2)^{z/2}} $

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