List questions from analytic-number-theory

455

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How to evaluate $\sum\limits_{m\in Z}(\sum\limits_{n\in Z} \frac{1}{(m-1+nz)(m+nz)})$ with $Im(z)>0$

Published on 13 Feb 2015 - 2:48

35

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Asymptotic for the height of the derivatives of a rational function

Published on 13 Feb 2015 - 13:31

1.2k

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Why doesn't Mertens's second theorem prove the Prime Number Theorem?

Published on 13 Feb 2015 - 14:52

237

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Writing Dirichlet series in infinite product.

Published on 26 Mar 2026 - 7:33

130

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Why is $f(z)y^k$ bounded for $f$ a cusp form?

Published on 30 Mar 2026 - 14:41

123

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Non vanishing of an infinite product

Published on 30 Mar 2026 - 15:14

1.6k

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Fourier transform and dual vector space

Published on 16 Feb 2015 - 18:58

61

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Properties of $\underset{k\geq1}{\sum}\frac{1}{\left(2k-1\right)^{s}}$

Published on 03 Apr 2026 - 23:04

125

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Prove that $\pi(n^2)-\pi(\frac{n^2+2n}{2})>0$

Published on 18 Feb 2015 - 19:21

116

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Proof Janusz Algebraic number fields, convergence of Dirichlet Series.

Published on 20 Feb 2015 - 8:04

119

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I find "closed formula" for divisors of an positive integer, it is useful or not?

Published on 20 Feb 2015 - 18:31

302

Views

Does analytic continuation apply only to analytic functions?

Published on 26 Mar 2026 - 14:17

124

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What are the subjects an analytic number theorist must be well versed with after undergraduate studies?

Published on 29 Mar 2026 - 14:25

48

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Averages of $L(1,\chi)$

Published on 25 Mar 2026 - 14:33

71

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coefficients of $f(t)=(\sum_{m=0}^{+\infty}e^{2\pi im^4t})(\sum_{m=0}^{+\infty}e^{2 \pi inm^4t})$

Published on 30 Mar 2026 - 16:26

List Question

How to evaluate $\sum\limits_{m\in Z}(\sum\limits_{n\in Z} \frac{1}{(m-1+nz)(m+nz)})$ with $Im(z)>0$

Asymptotic for the height of the derivatives of a rational function

Why doesn't Mertens's second theorem prove the Prime Number Theorem?

Writing Dirichlet series in infinite product.

Why is $f(z)y^k$ bounded for $f$ a cusp form?

Non vanishing of an infinite product

Fourier transform and dual vector space

Properties of $\underset{k\geq1}{\sum}\frac{1}{\left(2k-1\right)^{s}}$

Prove that $\pi(n^2)-\pi(\frac{n^2+2n}{2})>0$

Proof Janusz Algebraic number fields, convergence of Dirichlet Series.

I find "closed formula" for divisors of an positive integer, it is useful or not?

Does analytic continuation apply only to analytic functions?

What are the subjects an analytic number theorist must be well versed with after undergraduate studies?

Averages of $L(1,\chi)$

coefficients of $f(t)=(\sum_{m=0}^{+\infty}e^{2\pi im^4t})(\sum_{m=0}^{+\infty}e^{2 \pi inm^4t})$

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