List questions from dirichlet-series

Published on 10 Oct 2016 - 19:17

77

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Bound of inf of finite Dirichlet series $\sum e^{i\alpha_j t}.$

Published on 10 Oct 2016 - 21:34

314

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abscissa of absolute convergence for $\sum_{n=1}^\infty \frac{\mu^2(n)}{n^s}$

Published on 20 Oct 2016 - 18:46

299

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Combinatorial proof of a relation between the number of distinct prime divisors of a number and the Riemann zeta function.

Published on 25 Mar 2026 - 14:25

94

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Deduce the value $\sum_{n=1}^\infty f(n)n^{-s} $.

Published on 01 Nov 2016 - 12:20

210

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Is $\sum\limits_{n = 1}^\infty (-1)^n\frac{H_n}{n}=\frac{6\ln^2(2)-\pi^2}{12}$ a valid identity?

Published on 25 Mar 2026 - 11:54

243

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A Perron-like formula

Published on 23 Nov 2016 - 22:52

102

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If $\gcd(l,q)=1$, then $\sum_{p\equiv l}\frac{1}{p^s}=\frac{1}{\varphi(q)}\log(\frac{1}{s-1})+O(1)$

Published on 24 Nov 2016 - 18:10

94

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On the convexity of $-\int_0^t\Re\frac{\eta' \left( 1/2+ix \right) }{\eta \left( 1/2+ix \right) }dx,$ for $t>0$

Published on 27 Nov 2016 - 15:42

248

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Dirichlet series and Dirichlet $L$ function

Published on 05 Dec 2016 - 11:33

155

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Asymptotic for primitive Dirichlet characters over primes

Published on 10 Dec 2016 - 23:03

357

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How to prove this Dirichlet series identity?

Published on 15 Dec 2016 - 14:09

703

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Dirichlet series associated to squared Möbius

Published on 25 Mar 2026 - 15:21

121

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2 question about dirichlet series generating functions

Published on 31 Dec 2016 - 15:09

554

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Functional equation of the complete $L$-function of the twisted $L$-function of a cuspidal modular form

Published on 25 Mar 2026 - 14:39

List Question

polynomial growth

Bound of inf of finite Dirichlet series $\sum e^{i\alpha_j t}.$

abscissa of absolute convergence for $\sum_{n=1}^\infty \frac{\mu^2(n)}{n^s}$

Combinatorial proof of a relation between the number of distinct prime divisors of a number and the Riemann zeta function.

Deduce the value $\sum_{n=1}^\infty f(n)n^{-s} $.

Is $\sum\limits_{n = 1}^\infty (-1)^n\frac{H_n}{n}=\frac{6\ln^2(2)-\pi^2}{12}$ a valid identity?

A Perron-like formula

If $\gcd(l,q)=1$, then $\sum_{p\equiv l}\frac{1}{p^s}=\frac{1}{\varphi(q)}\log(\frac{1}{s-1})+O(1)$

On the convexity of $-\int_0^t\Re\frac{\eta' \left( 1/2+ix \right) }{\eta \left( 1/2+ix \right) }dx,$ for $t>0$

Dirichlet series and Dirichlet $L$ function

Asymptotic for primitive Dirichlet characters over primes

How to prove this Dirichlet series identity?

Dirichlet series associated to squared Möbius

2 question about dirichlet series generating functions

Functional equation of the complete $L$-function of the twisted $L$-function of a cuspidal modular form

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