List questions from analytic-number-theory

Published on 25 Mar 2026 - 17:21

101

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A variant of Hilbert's inequality

Published on 27 Mar 2026 - 10:09

33

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Studying progression on proving Wilf's conjecture

Published on 04 Aug 2016 - 5:53

346

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How to compute a dirichlet product of arithmetic function

Published on 05 Aug 2016 - 12:50

174

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What's about $\sum_{n=1}^\infty\frac{\mu(n)}{n}r^n,$ when $0<r<1$?

Published on 25 Mar 2026 - 13:13

508

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On Mertens function as $2 \sum_{k=1}^{N} \sum_{n=1}^{\infty}\frac{\mu(n)}{n} \sum_{m=1}^{\infty}\frac{(\mu(k))^{nm}}{m2^{nm}} $

Published on 25 Mar 2026 - 13:13

198

Views

Additive energy of a set and an arithmetic progression

Published on 25 Mar 2026 - 17:22

534

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How to give a "quick proof" of properties of the Hecke-operators?

Published on 25 Mar 2026 - 11:16

74

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On $\sigma(n)=\sigma \left( \left \lfloor{e^{H_n-\gamma}}\right \rfloor \right) $, for integers $n\geq 1$

Published on 28 Mar 2026 - 6:31

108

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Can you provide us calculations for an upper bound of $\frac{15}{\pi^2}ne^{H_n}\log(H_n)-e^{H_{n^2}}\log(H_{n^2})$?

Published on 28 Mar 2026 - 6:31

119

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How many values of $\chi$ are there?

Published on 09 Aug 2016 - 18:03

219

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Primes Between Triangular numbers and Legendre's Conjecture. Reference request

Published on 25 Mar 2026 - 21:44

530

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Dirichlet product of distinct prime factors and the Möbius function

Published on 11 Aug 2016 - 12:30

325

Views

Finding a $p$-adic root of a polynomial using a convergent sequence of roots modulo $p^n$.

Published on 29 Mar 2026 - 10:48

134

Views

Counting multiple of $3$ in a triangular arrangement of the integers.

Published on 27 Mar 2026 - 14:02

List Question

Applications of Non-Standard Analysis to Number Theory and Topology?

A variant of Hilbert's inequality

Studying progression on proving Wilf's conjecture

How to compute a dirichlet product of arithmetic function

What's about $\sum_{n=1}^\infty\frac{\mu(n)}{n}r^n,$ when $0<r<1$?

On Mertens function as $2 \sum_{k=1}^{N} \sum_{n=1}^{\infty}\frac{\mu(n)}{n} \sum_{m=1}^{\infty}\frac{(\mu(k))^{nm}}{m2^{nm}} $

Additive energy of a set and an arithmetic progression

How to give a "quick proof" of properties of the Hecke-operators?

On $\sigma(n)=\sigma \left( \left \lfloor{e^{H_n-\gamma}}\right \rfloor \right) $, for integers $n\geq 1$

Can you provide us calculations for an upper bound of $\frac{15}{\pi^2}ne^{H_n}\log(H_n)-e^{H_{n^2}}\log(H_{n^2})$?

How many values of $\chi$ are there?

Primes Between Triangular numbers and Legendre's Conjecture. Reference request

Dirichlet product of distinct prime factors and the Möbius function

Finding a $p$-adic root of a polynomial using a convergent sequence of roots modulo $p^n$.

Counting multiple of $3$ in a triangular arrangement of the integers.

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