Question

Proving a formula related with zeta function

score 772 · Answer 1 · 2013-08-07 14:29:33

772

Views

Proving a formula related with zeta function

Published on 07 Aug 2013 - 14:29

score 138 · Answer 2 · 2013-08-08 06:11:56

138

Views

how to prove that $\zeta(s,q)=\frac{1}{\Gamma(s)}\int_{0}^{\infty}\frac{t^{s-1}e^{-qt}}{1-e^{-t}}dt$

Published on 08 Aug 2013 - 6:11

score 186 · Answer 3 · 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 323 · Answer 4 · 2026-03-26 17:14:22

323

Views

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

Published on 26 Mar 2026 - 17:14

score 316 · Answer 5 · 2013-08-27 21:55:00

316

Views

Why are minima of $(k \bmod 4)$-Prime $\zeta$ functions $|P_x(r,t)|$ more frequent for $\frac\pi2\leq t \leq \pi$?

Published on 27 Aug 2013 - 21:55

score 947 · Answer 6 · 2013-08-28 09:33:45

947

Views

Mean density of the nontrivial zeros of the Riemann zeta function

Published on 28 Aug 2013 - 9:33

score 129 · Answer 7 · 2026-03-26 02:58:28

129

Views

Conjectures about zeta functions and poles

Published on 26 Mar 2026 - 2:58

score 74 · Answer 8 · 2013-09-11 10:29:57

74

Views

Prove that the only negative real zeroes are at the integers

Published on 11 Sep 2013 - 10:29

score 36 · Answer 9 · 2013-09-14 13:39:36

36

Views

How one can determine the rapidly convergente series?

Published on 14 Sep 2013 - 13:39

score 44 · Answer 10 · 2013-09-17 17:31:03

44

Views

What are Selberg class functions of degree two?

Published on 17 Sep 2013 - 17:31

score 287 · Answer 11 · 2026-03-26 17:18:56

287

Views

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

Published on 26 Mar 2026 - 17:18

score 342 · Answer 12 · 2013-09-23 15:06:56

342

Views

A limit involving the Hurwitz zeta function

Published on 23 Sep 2013 - 15:06

score 5.4k · Answer 13 · 2013-10-17 00:57:56

5.4k

Views

Evaluating the log gamma integral $\int_{0}^{z} \log \Gamma (x) \, \mathrm dx$ in terms of the Hurwitz zeta function

Published on 17 Oct 2013 - 0:57

score 391 · Answer 14 · 2026-03-27 07:50:23

391

Views

Is $\frac{\zeta (m+n)}{\zeta (m)\zeta (n)}$ a rational number for $m,n\ge 2\in\mathbb N$?

Published on 27 Mar 2026 - 7:50

score 438 · Answer 15 · 2026-03-27 10:46:02

438

Views

Roots of some modified Bernoulli polynomials

Published on 27 Mar 2026 - 10:46

List Question

Proving a formula related with zeta function

how to prove that $\zeta(s,q)=\frac{1}{\Gamma(s)}\int_{0}^{\infty}\frac{t^{s-1}e^{-qt}}{1-e^{-t}}dt$

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

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

Why are minima of $(k \bmod 4)$-Prime $\zeta$ functions $|P_x(r,t)|$ more frequent for $\frac\pi2\leq t \leq \pi$?

Mean density of the nontrivial zeros of the Riemann zeta function

Conjectures about zeta functions and poles

Prove that the only negative real zeroes are at the integers

How one can determine the rapidly convergente series?

What are Selberg class functions of degree two?

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

A limit involving the Hurwitz zeta function

Evaluating the log gamma integral $\int_{0}^{z} \log \Gamma (x) \, \mathrm dx$ in terms of the Hurwitz zeta function

Is $\frac{\zeta (m+n)}{\zeta (m)\zeta (n)}$ a rational number for $m,n\ge 2\in\mathbb N$?

Roots of some modified Bernoulli polynomials

Trending Questions

Popular # Hahtags

Popular Questions