List questions from analytic-number-theory

28

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$ \prod_{k=0}^\infty \prod_{j=1}^q ( 1- \chi(j) z/(kq+j) ) = (1-z) \prod_{k=2}^\infty ( 1 - \chi(k) z/k) $

Published on 09 Apr 2026 - 16:44

107

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Proving an Integral 0

Published on 12 Apr 2026 - 4:41

65

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Is $f$ multiplicative?

Published on 09 Apr 2026 - 11:56

37

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Example of functions satisfying certain little-oh condition

Published on 15 Apr 2026 - 21:49

109

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A new(?) expression for the prime counting function

Published on 14 Apr 2026 - 5:08

220

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Analytic Proof of Wilson's Theorem

Published on 11 Apr 2026 - 18:58

82

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My LHS does not match the LHS in Apostol's Introduction to Analytic Number Theory while applying Abel's identity

Published on 11 Apr 2026 - 7:48

165

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Radius of convergence of a power series given by the composition of 2 analityc functions.

Published on 14 Apr 2026 - 17:47

106

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Counting function and its Artin L-function

Published on 25 Mar 2026 - 22:24

490

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Number of integers at most $x$ with exactly two distinct prime factors

Published on 12 Apr 2026 - 0:22

92

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How many $n^{th}$ powers do I need to add to get a positive density of natural numbers?

Published on 11 Apr 2026 - 12:21

286

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On the asymptotic bound for $\arg\zeta(s)$ on the critical line

Published on 15 Apr 2026 - 10:56

284

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Understanding Perron's formula by calculation of residues

Published on 07 Apr 2026 - 17:46

55

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$an^\sigma$ mod 1 is equidistributed for $\sigma$ not an integer.

Published on 17 Apr 2026 - 14:20

78

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Good material to study analytic number theory

Published on 16 Apr 2026 - 14:50

List Question

$ \prod_{k=0}^\infty \prod_{j=1}^q ( 1- \chi(j) z/(kq+j) ) = (1-z) \prod_{k=2}^\infty ( 1 - \chi(k) z/k) $

Proving an Integral 0

Is $f$ multiplicative?

Example of functions satisfying certain little-oh condition

A new(?) expression for the prime counting function

Analytic Proof of Wilson's Theorem

My LHS does not match the LHS in Apostol's Introduction to Analytic Number Theory while applying Abel's identity

Radius of convergence of a power series given by the composition of 2 analityc functions.

Counting function and its Artin L-function

Number of integers at most $x$ with exactly two distinct prime factors

How many $n^{th}$ powers do I need to add to get a positive density of natural numbers?

On the asymptotic bound for $\arg\zeta(s)$ on the critical line

Understanding Perron's formula by calculation of residues

$an^\sigma$ mod 1 is equidistributed for $\sigma$ not an integer.

Good material to study analytic number theory

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