Question

Can the coefficients of a Dirichlet series be recovered?

score 489 · Answer 1 · 2016-06-23 12:57:01

489

Views

Can the coefficients of a Dirichlet series be recovered?

Published on 23 Jun 2016 - 12:57

score 368 · Answer 2 · 2016-06-28 10:08:13

368

Views

Is there no proof of Dirichlet's results on quadratic residues without analysis?

Published on 28 Jun 2016 - 10:08

score 852 · Answer 3 · 2016-07-04 18:24:16

852

Views

Showing $L(1,\chi)$ is positive given that it's nonzero

Published on 04 Jul 2016 - 18:24

score 91 · Answer 4 · 2026-03-25 11:57:10

91

Views

Dirichlet series' help

Published on 25 Mar 2026 - 11:57

score 301 · Answer 5 · 2013-05-02 02:47:19

301

Views

Interesting phenomenon with the $\zeta(3)$ series

Published on 02 May 2013 - 2:47

score 213 · Answer 6 · 2013-05-02 09:15:54

213

Views

A numeral system built around Dirichlet series, by analogy of how positional numeral systems are built around power series?

Published on 02 May 2013 - 9:15

score 200 · Answer 7 · 2026-03-26 02:55:43

200

Views

Euler's Basel problem continued... $\zeta(2n)$ expressed in terms of $sinc$?

Published on 26 Mar 2026 - 2:55

score 921 · Answer 8 · 2013-06-02 10:26:36

921

Views

Functional equation for Hecke $L$-series

Published on 02 Jun 2013 - 10:26

score 187 · Answer 9 · 2013-07-07 15:08:13

187

Views

Hecke $L$-series exercise in Silverman's Advanced Topics in Arithmetic of EC

Published on 07 Jul 2013 - 15:08

score 186 · Answer 10 · 2026-03-25 20:36:11

186

Views

Counting numbers of the form $ai + bj + cij$ and finding related L-series?

Published on 25 Mar 2026 - 20:36

score 322 · Answer 11 · 2013-08-27 20:45:42

322

Views

The effect of roots of Dirichlet's $\beta$ function condenses to $\frac12\left(1+ie^{i2\pi\frac{p}4}\right)$

Published on 27 Aug 2013 - 20:45

score 2.6k · Answer 12 · 2013-09-03 15:00:10

2.6k

Views

Proving that $\frac{\pi}{4}$$=1-\frac{\eta(1)}{2}+\frac{\eta(2)}{4}-\frac{\eta(3)}{8}+\cdots$

Published on 03 Sep 2013 - 15:00

score 77 · Answer 13 · 2013-09-20 19:24:23

77

Views

A question about the behavior of Dirichlet series and its derivatives

Published on 20 Sep 2013 - 19:24

score 286 · Answer 14 · 2013-09-22 23:13:37

286

Views

Looking for explanation of bound on Dirichlet's L-Function

Published on 22 Sep 2013 - 23:13

score 156 · Answer 15 · 2013-09-29 13:58:39

156

Views

What are the periodic Dirichlet series?

Published on 29 Sep 2013 - 13:58

List Question

Can the coefficients of a Dirichlet series be recovered?

Is there no proof of Dirichlet's results on quadratic residues without analysis?

Showing $L(1,\chi)$ is positive given that it's nonzero

Dirichlet series' help

Interesting phenomenon with the $\zeta(3)$ series

A numeral system built around Dirichlet series, by analogy of how positional numeral systems are built around power series?

Euler's Basel problem continued... $\zeta(2n)$ expressed in terms of $sinc$?

Functional equation for Hecke $L$-series

Hecke $L$-series exercise in Silverman's Advanced Topics in Arithmetic of EC

Counting numbers of the form $ai + bj + cij$ and finding related L-series?

The effect of roots of Dirichlet's $\beta$ function condenses to $\frac12\left(1+ie^{i2\pi\frac{p}4}\right)$

Proving that $\frac{\pi}{4}$$=1-\frac{\eta(1)}{2}+\frac{\eta(2)}{4}-\frac{\eta(3)}{8}+\cdots$

A question about the behavior of Dirichlet series and its derivatives

Looking for explanation of bound on Dirichlet's L-Function

What are the periodic Dirichlet series?

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