Question

Holomorphic but not a Dirichlet series

score 128 · Answer 1 · 2026-04-10 22:03:46

128

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Holomorphic but not a Dirichlet series

Published on 10 Apr 2026 - 22:03

score 216 · Answer 2 · 2026-04-13 09:01:59

216

Views

Imaginary component of Dirichlet Eta Function's root with real component equal to 1/2

Published on 13 Apr 2026 - 9:01

score 378 · Answer 3 · 2026-04-18 02:08:23

378

Views

What is $f(2s+1)$ when $f(s)=\sum_{n=0}^\infty {\frac{(-1)^n}{(2n+1)^s}}=1-\frac{1}{3^s}+\frac{1}{5^s}-\frac{1}{7^s}+\dots$?

Published on 18 Apr 2026 - 2:08

score 142 · Answer 4 · 2026-04-13 14:54:23

142

Views

Is there a zeta function(with a Dirichlet series) having known roots off the critical line?

Published on 13 Apr 2026 - 14:54

score 402 · Answer 5 · 2026-04-16 00:17:34

402

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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 16 Apr 2026 - 0:17

score 1.7k · Answer 6 · 2026-04-11 19:51:26

1.7k

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The Definite Integral Problem (with a twist)?

Published on 11 Apr 2026 - 19:51

score 57 · Answer 7 · 2026-04-16 09:17:22

57

Views

Convergence of Dirichlet series via Taylor series

Published on 16 Apr 2026 - 9:17

score 163 · Answer 8 · 2026-04-16 22:24:36

163

Views

Is it true that $\sum\limits_{n=1}^\infty\frac{\chi_{k,1}(n)}{n^s}=\zeta(s)\sum\limits_{d|k}\mu(d)\,d^{-s}$?

Published on 16 Apr 2026 - 22:24

score 79 · Answer 9 · 2026-04-13 21:10:40

79

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On a lemma by Newman relating summability and convergence

Published on 13 Apr 2026 - 21:10

score 386 · Answer 10 · 2026-04-13 19:47:49

386

Views

Dirichlet Series Derivative

Published on 13 Apr 2026 - 19:47

score 85 · Answer 11 · 2026-04-12 06:58:22

85

Views

Questions on $f(x)=\sum\limits_{n=1}^{x}a(n)$ with an infinite number of positive integer zeros

Published on 12 Apr 2026 - 6:58

score 177 · Answer 12 · 2026-04-29 12:49:41

177

Views

isometry relating $L^2(\mathbb{R}, dx)$ and $L^2([0, \infty), \frac{dx}{x})$

Published on 29 Apr 2026 - 12:49

score 264 · Answer 13 · 2026-04-14 21:09:24

264

Views

Questions related to Moebius Transform of Characteristic Function of the Primes

Published on 14 Apr 2026 - 21:09

score 67 · Answer 14 · 2026-04-10 01:01:50

67

Views

A question about the rationality of Hurwitz Zeta functions.

Published on 10 Apr 2026 - 1:01

score 70 · Answer 15 · 2026-03-25 03:03:56

70

Views

Analytic continuation of a series raised to a power raised to a power?

Published on 25 Mar 2026 - 3:03

List Question

Holomorphic but not a Dirichlet series

Imaginary component of Dirichlet Eta Function's root with real component equal to 1/2

What is $f(2s+1)$ when $f(s)=\sum_{n=0}^\infty {\frac{(-1)^n}{(2n+1)^s}}=1-\frac{1}{3^s}+\frac{1}{5^s}-\frac{1}{7^s}+\dots$?

Is there a zeta function(with a Dirichlet series) having known roots off the critical line?

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

The Definite Integral Problem (with a twist)?

Convergence of Dirichlet series via Taylor series

Is it true that $\sum\limits_{n=1}^\infty\frac{\chi_{k,1}(n)}{n^s}=\zeta(s)\sum\limits_{d|k}\mu(d)\,d^{-s}$?

On a lemma by Newman relating summability and convergence

Dirichlet Series Derivative

Questions on $f(x)=\sum\limits_{n=1}^{x}a(n)$ with an infinite number of positive integer zeros

isometry relating $L^2(\mathbb{R}, dx)$ and $L^2([0, \infty), \frac{dx}{x})$

Questions related to Moebius Transform of Characteristic Function of the Primes

A question about the rationality of Hurwitz Zeta functions.

Analytic continuation of a series raised to a power raised to a power?

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