Question

Minimal value of summatory function of completely multiplicative functions taking values -1 and 1

score 175 · Answer 1 · 2026-04-13 07:43:50

175

Views

Minimal value of summatory function of completely multiplicative functions taking values -1 and 1

Published on 13 Apr 2026 - 7:43

score 224 · Answer 2 · 2026-04-12 17:53:50

224

Views

Is the ratio of consecutive Bernoulli polynomials uniformly bounded

Published on 12 Apr 2026 - 17:53

score 278 · Answer 3 · 2026-04-08 21:44:55

278

Views

Analytic continuation of Riemann zeta function using integral formula

Published on 08 Apr 2026 - 21:44

score 75 · Answer 4 · 2026-04-12 12:47:00

75

Views

Riemann method for partial sum of $d(n)$

Published on 12 Apr 2026 - 12:47

score 133 · Answer 5 · 2026-03-25 23:08:57

133

Views

Two Dirichlet characters $\chi$, $\chi'$ are equal if $\chi(p) = \chi'(p)$ for almost all primes

Published on 25 Mar 2026 - 23:08

score 87 · Answer 6 · 2026-04-12 04:43:56

87

Views

Asymptotic estimate for the integral of Riemann zeta function

Published on 12 Apr 2026 - 4:43

score 32 · Answer 7 · 2026-04-11 16:31:39

32

Views

Compute Lindeloef function

Published on 11 Apr 2026 - 16:31

score 121 · Answer 8 · 2026-03-27 04:18:45

121

Views

Maximum of $\sum_{n=1}^\infty\frac{\mu(n)}{n}x^n$, $0<x<1$, where $\mu(n)$ is the Möbius function

Published on 27 Mar 2026 - 4:18

score 64 · Answer 9 · 2026-04-17 14:06:47

64

Views

If $a,b,n$ are positive integers such that $\gcd(a+x,b+y) > 1$ for each $x,y\in\{0,1,...,n\}$ then prove that $\min\{a,b\} > n^n$

Published on 17 Apr 2026 - 14:06

score 100 · Answer 10 · 2026-04-15 12:59:44

100

Views

Set conjectures concerning the asymptotic behaviour of erratic arithmetic functions, related to the Möbius function and the Liouville function

Published on 15 Apr 2026 - 12:59

score 363 · Answer 11 · 2026-03-25 22:03:43

363

Views

Useful reformulation of Goldbach's conjecture?

Published on 25 Mar 2026 - 22:03

score 735 · Answer 12 · 2026-04-17 03:57:43

735

Views

showing $ 1-\frac{3}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}-\frac{3}{6}+\frac{1}{7}+\frac{1}{8}+\cdots=0 $

Published on 17 Apr 2026 - 3:57

score 240 · Answer 13 · 2026-04-17 03:56:42

240

Views

show that $\pi_2(x)\sim o\left(\frac{x\log(\log(x))}{\log(x)}\right)$.

Published on 17 Apr 2026 - 3:56

score 130 · Answer 14 · 2026-04-16 11:10:42

130

Views

Is this Riemann zeta zero counting function equality simpler to prove than the Franca-Leclair equality since there is no big Oh term?

Published on 16 Apr 2026 - 11:10

score 27 · Answer 15 · 2026-04-17 06:27:24

Show that $m\longmapsto \left(\frac{m}{q}\right)$ is a character and that the smallest $m\geq 1$ is $\mathcal O(q^2\log(q))$

List Question

Minimal value of summatory function of completely multiplicative functions taking values -1 and 1

Is the ratio of consecutive Bernoulli polynomials uniformly bounded

Analytic continuation of Riemann zeta function using integral formula

Riemann method for partial sum of $d(n)$

Two Dirichlet characters $\chi$, $\chi'$ are equal if $\chi(p) = \chi'(p)$ for almost all primes

Asymptotic estimate for the integral of Riemann zeta function

Compute Lindeloef function

Maximum of $\sum_{n=1}^\infty\frac{\mu(n)}{n}x^n$, $0<x<1$, where $\mu(n)$ is the Möbius function

If $a,b,n$ are positive integers such that $\gcd(a+x,b+y) > 1$ for each $x,y\in\{0,1,...,n\}$ then prove that $\min\{a,b\} > n^n$

Set conjectures concerning the asymptotic behaviour of erratic arithmetic functions, related to the Möbius function and the Liouville function

Useful reformulation of Goldbach's conjecture?

showing $ 1-\frac{3}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}-\frac{3}{6}+\frac{1}{7}+\frac{1}{8}+\cdots=0 $

show that $\pi_2(x)\sim o\left(\frac{x\log(\log(x))}{\log(x)}\right)$.

Is this Riemann zeta zero counting function equality simpler to prove than the Franca-Leclair equality since there is no big Oh term?

Show that $m\longmapsto \left(\frac{m}{q}\right)$ is a character and that the smallest $m\geq 1$ is $\mathcal O(q^2\log(q))$

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