List questions from analytic-number-theory

Published on 16 Apr 2026 - 0:35

116

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Proving that $\log\log x = o((\log x)^{\epsilon})$

Published on 17 Apr 2026 - 14:40

153

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proving several error terms for the divisor function $d(n)$

Published on 16 Apr 2026 - 3:51

102

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$\prod_\rho (1-\frac{s}{\rho})$=$\prod_{\Im(\rho)>0 }(1-\frac{s}{\rho})(1-\frac{s}{1-{\rho}})$

Published on 14 Apr 2026 - 17:15

142

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Logarithmic differentiation of a complicated product

Published on 12 Apr 2026 - 5:04

124

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What is known about rational sums of powers of zeta values?

Published on 11 Apr 2026 - 19:12

46

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Expressing L-functions as Mellin transforms

Published on 12 Apr 2026 - 21:03

318

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Combinatorial Technique in Selberg's Symmetry Formula

Published on 10 Apr 2026 - 15:28

48

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Schirelman Theorem with even number set $E$ and its density modification

Published on 16 Apr 2026 - 3:04

125

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Reference request: zeros of $L(s, \chi)$ is symmetric in the critical strip along the crirical line

Published on 14 Apr 2026 - 15:40

107

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Möbius function multiplicativity

Published on 11 Apr 2026 - 7:46

344

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Improving the Dirichlet's approximation theorem.

Published on 13 Apr 2026 - 20:59

25

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Sum of squares with Schnirelman's theorem, prove that there exists $k$ that $\forall n$ can be expressed as a sum of at most $k $ squares.

Published on 14 Apr 2026 - 13:24

165

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Why is the Theorem of Sylvester and Schur a generalization of Bertrand's postulate?

Published on 12 Apr 2026 - 19:49

23

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Calculate some estimations of the given lemma to determine the constant

Published on 24 Apr 2026 - 18:58

List Question

Bounding summation

Proving that $\log\log x = o((\log x)^{\epsilon})$

proving several error terms for the divisor function $d(n)$

$\prod_\rho (1-\frac{s}{\rho})$=$\prod_{\Im(\rho)>0 }(1-\frac{s}{\rho})(1-\frac{s}{1-{\rho}})$

Logarithmic differentiation of a complicated product

What is known about rational sums of powers of zeta values?

Expressing L-functions as Mellin transforms

Combinatorial Technique in Selberg's Symmetry Formula

Schirelman Theorem with even number set $E$ and its density modification

Reference request: zeros of $L(s, \chi)$ is symmetric in the critical strip along the crirical line

Möbius function multiplicativity

Improving the Dirichlet's approximation theorem.

Sum of squares with Schnirelman's theorem, prove that there exists $k$ that $\forall n$ can be expressed as a sum of at most $k $ squares.

Why is the Theorem of Sylvester and Schur a generalization of Bertrand's postulate?

Calculate some estimations of the given lemma to determine the constant

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