Question

Show that a periodic, completely multiplicative arithmetic function is a Dirichlet character to some module $q$

score 526 · Answer 1 · 2026-04-11 16:25:34

526

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Show that a periodic, completely multiplicative arithmetic function is a Dirichlet character to some module $q$

Published on 11 Apr 2026 - 16:25

score 170 · Answer 2 · 2026-03-27 00:59:57

170

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Products of $k^{\mu(k)}$, where $\mu(n)$ is Möbius function, and the Prime Number Theorem

Published on 27 Mar 2026 - 0:59

score 414 · Answer 3 · 2026-04-12 04:12:10

414

Views

Convergence of the Euler product

Published on 12 Apr 2026 - 4:12

score 75 · Answer 4 · 2026-04-06 06:37:16

75

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What's about $\sum_{n=1}^\infty e^{-p_n u}$, where $p_n$ is the nth-prime number?

Published on 06 Apr 2026 - 6:37

score 147 · Answer 5 · 2026-04-11 22:25:23

147

Views

Estimating a contour integral which includes the riemann zeta function

Published on 11 Apr 2026 - 22:25

score 831 · Answer 6 · 2026-03-27 03:49:48

831

Views

Why can this cosine sum function show all primes less than $N^2$?

Published on 27 Mar 2026 - 3:49

score 240 · Answer 7 · 2026-04-02 07:46:07

240

Views

Prove that $\prod\limits_{2 < p \leq y}\left(1-\frac{2}{p}\right)\sim\frac{D}{\log ^2 y}$

Published on 02 Apr 2026 - 7:46

score 195 · Answer 8 · 2026-03-25 19:07:12

195

Views

Can you get the average order of $ \left( 1+|\mu(n)| \right)^{M(n)} $, where $\mu(n)$ and $M(n)$ are the Möbius and Mertens functions, respectively

Published on 25 Mar 2026 - 19:07

score 88 · Answer 9 · 2026-04-12 05:23:24

88

Views

What is right hand side limit of Dirichlet eta function of -1?

Published on 12 Apr 2026 - 5:23

score 54 · Answer 10 · 2026-04-11 14:26:02

54

Views

Diamond-Steinig identity

Published on 11 Apr 2026 - 14:26

score 864 · Answer 11 · 2026-03-28 22:55:07

864

Views

Finite sum $\sum_{n=2}^N\frac{1}{n^2}\sin^2(\pi x)\csc^2(\frac{\pi x}{n})$

Published on 28 Mar 2026 - 22:55

score 689 · Answer 12 · 2016-04-26 15:16:05

689

Views

$\sum_{p} \chi(p)/p$ is conditionally convergent for non-principal character

Published on 26 Apr 2016 - 15:16

score 1k · Answer 13 · 2026-04-11 06:00:59

1k

Views

Derive zeta values of even integers from the Euler-Maclaurin formula.

Published on 11 Apr 2026 - 6:00

score 422 · Answer 14 · 2026-03-31 15:12:00

422

Views

Hecke $L$-function of cusp form is entire

Published on 31 Mar 2026 - 15:12

score 96 · Answer 15 · 2026-03-25 22:05:03

96

Views

Can you share some information to help study this unified sieve function for prime, twin prime and Goldbach sums of $2n$?

Published on 25 Mar 2026 - 22:05

List Question

Show that a periodic, completely multiplicative arithmetic function is a Dirichlet character to some module $q$

Products of $k^{\mu(k)}$, where $\mu(n)$ is Möbius function, and the Prime Number Theorem

Convergence of the Euler product

What's about $\sum_{n=1}^\infty e^{-p_n u}$, where $p_n$ is the nth-prime number?

Estimating a contour integral which includes the riemann zeta function

Why can this cosine sum function show all primes less than $N^2$?

Prove that $\prod\limits_{2 < p \leq y}\left(1-\frac{2}{p}\right)\sim\frac{D}{\log ^2 y}$

Can you get the average order of $ \left( 1+|\mu(n)| \right)^{M(n)} $, where $\mu(n)$ and $M(n)$ are the Möbius and Mertens functions, respectively

What is right hand side limit of Dirichlet eta function of -1?

Diamond-Steinig identity

Finite sum $\sum_{n=2}^N\frac{1}{n^2}\sin^2(\pi x)\csc^2(\frac{\pi x}{n})$

$\sum_{p} \chi(p)/p$ is conditionally convergent for non-principal character

Derive zeta values of even integers from the Euler-Maclaurin formula.

Hecke $L$-function of cusp form is entire

Can you share some information to help study this unified sieve function for prime, twin prime and Goldbach sums of $2n$?

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