List questions from analytic-number-theory

Published on 19 Oct 2019 - 21:24

305

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What is known about sums of non-integer zeta values?

Published on 31 Mar 2026 - 17:53

135

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A special sum involving the von Mangoldt function

Published on 21 Oct 2019 - 13:09

128

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Is the identity theorem for holomorphic functions being correctly applied here in the proof of this trivial claim?

Published on 24 Oct 2019 - 15:17

182

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How does one obtain an expression for the Dirichlet series $g(s, \theta) = \sum_{n=1}^{\infty} \frac{\cos(n \theta)}{n^{s}} $?

Published on 25 Mar 2026 - 11:16

1.3k

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What are the real world applications of analytic number theory?

Published on 26 Oct 2019 - 17:02

98

Views

Estimates for truncated prime zeta function

Published on 27 Oct 2019 - 3:30

144

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Eigenfunction of all Hecke operators

Published on 27 Oct 2019 - 20:42

186

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Coefficients of Poincare series

Published on 28 Mar 2026 - 7:57

58

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Integration of the product of zeta function and gamma function

Published on 29 Mar 2026 - 22:07

91

Views

Prove that $\sum_{n\leq x}{d(\phi(n))} > x \log{x}$

Published on 26 Mar 2026 - 1:03

172

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Confusion about big O notation in approximation to zeta function

Published on 31 Mar 2026 - 19:11

55

Views

Is this Dusart's result depends on the Riemann hypothesis

Published on 01 Nov 2019 - 16:19

520

Views

Uniform lower bound for $|\zeta(1 + it)|$

Published on 31 Mar 2026 - 19:13

127

Views

Compare $(n!)^2$ and $p!(2n-p)!$ with $0 \le p \le 2n$

Published on 05 Nov 2019 - 22:41

List Question

Partial sums and growth

What is known about sums of non-integer zeta values?

A special sum involving the von Mangoldt function

Is the identity theorem for holomorphic functions being correctly applied here in the proof of this trivial claim?

How does one obtain an expression for the Dirichlet series $g(s, \theta) = \sum_{n=1}^{\infty} \frac{\cos(n \theta)}{n^{s}} $?

What are the real world applications of analytic number theory?

Estimates for truncated prime zeta function

Eigenfunction of all Hecke operators

Coefficients of Poincare series

Integration of the product of zeta function and gamma function

Prove that $\sum_{n\leq x}{d(\phi(n))} > x \log{x}$

Confusion about big O notation in approximation to zeta function

Is this Dusart's result depends on the Riemann hypothesis

Uniform lower bound for $|\zeta(1 + it)|$

Compare $(n!)^2$ and $p!(2n-p)!$ with $0 \le p \le 2n$

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