Question

What are the missing gaps to prove Goldbach Conjecture?

score 187 · Answer 1 · 2026-03-25 09:36:35

187

Views

What are the missing gaps to prove Goldbach Conjecture?

Published on 25 Mar 2026 - 9:36

score 137 · Answer 2 · 2014-10-07 19:05:21

137

Views

Dirichlet characters - proof in a book

Published on 07 Oct 2014 - 19:05

score 1.3k · Answer 3 · 2014-10-08 10:26:23

1.3k

Views

Sum of inverse prime numbers

Published on 08 Oct 2014 - 10:26

score 77 · Answer 4 · 2026-03-25 12:49:47

77

Views

Sum of reciprocals of natural numbers with numerator being Legendre symbol mod 7 (L-series)

Published on 25 Mar 2026 - 12:49

score 53 · Answer 5 · 2014-10-11 05:07:23

53

Views

Can we have $\sum_{n\leq [x]}e^{-\sqrt{\frac{\log x}{r}}}\ll \frac{x}{e^{c \sqrt{\log x}}}$ for some constant $c>0$, where $x>1.$

Published on 11 Oct 2014 - 5:07

score 77 · Answer 6 · 2014-10-11 18:23:58

77

Views

Find all positive integer pairs $(x,y)$ and $(u,v)$ with certain relations.

Published on 11 Oct 2014 - 18:23

score 605 · Answer 7 · 2014-10-13 12:37:06

605

Views

Prove the Inequality on $\pi$-function

Published on 13 Oct 2014 - 12:37

score 761 · Answer 8 · 2026-03-25 19:01:02

761

Views

Singularities of zeta function

Published on 25 Mar 2026 - 19:01

score 136 · Answer 9 · 2026-03-26 23:10:57

136

Views

Is $\sum_{p\text{ prime, } p \geq 2}\frac{(-1)^{\frac{p^2-1}{8}}}{p}$ convergent or divergent??

Published on 26 Mar 2026 - 23:10

score 636 · Answer 10 · 2014-10-18 17:31:58

636

Views

Trying to show that $\phi(n) > c_1 \frac{n}{\text{log log }n}$ for some constant $c_1 > 0$

Published on 18 Oct 2014 - 17:31

score 192 · Answer 11 · 2014-10-18 17:33:51

192

Views

a problem about averages of fractional parts

Published on 18 Oct 2014 - 17:33

score 49 · Answer 12 · 2014-10-18 22:07:59

49

Views

Why is it impossible that $\frac{\phi(n^)}{n^} < \frac{\phi(n)}{n}$ when $n^* < n$

Published on 18 Oct 2014 - 22:07

score 120 · Answer 13 · 2014-10-18 23:13:00

120

Views

Show that $\frac{1}{e^\gamma \text{log }x + O(1)} = \frac{1}{e^\gamma\text{log }x} + O\left(\frac{1}{(\text{log }x)^2}\right)$

Published on 18 Oct 2014 - 23:13

score 101 · Answer 14 · 2014-10-19 10:01:16

101

Views

Why does $f(x) \asymp g(x) \implies log(f(x)) = log(g(x)) + O(1)$?

Published on 19 Oct 2014 - 10:01

score 119 · Answer 15 · 2014-10-20 09:31:25

119

Views

Mellin transform on $\mathbb{Z}[\omega]$

Published on 20 Oct 2014 - 9:31

List Question

What are the missing gaps to prove Goldbach Conjecture?

Dirichlet characters - proof in a book

Sum of inverse prime numbers

Sum of reciprocals of natural numbers with numerator being Legendre symbol mod 7 (L-series)

Can we have $\sum_{n\leq [x]}e^{-\sqrt{\frac{\log x}{r}}}\ll \frac{x}{e^{c \sqrt{\log x}}}$ for some constant $c>0$, where $x>1.$

Find all positive integer pairs $(x,y)$ and $(u,v)$ with certain relations.

Prove the Inequality on $\pi$-function

Singularities of zeta function

Is $\sum_{p\text{ prime, } p \geq 2}\frac{(-1)^{\frac{p^2-1}{8}}}{p}$ convergent or divergent??

Trying to show that $\phi(n) > c_1 \frac{n}{\text{log log }n}$ for some constant $c_1 > 0$

a problem about averages of fractional parts

Why is it impossible that $\frac{\phi(n^)}{n^} < \frac{\phi(n)}{n}$ when $n^* < n$

Show that $\frac{1}{e^\gamma \text{log }x + O(1)} = \frac{1}{e^\gamma\text{log }x} + O\left(\frac{1}{(\text{log }x)^2}\right)$

Why does $f(x) \asymp g(x) \implies log(f(x)) = log(g(x)) + O(1)$?

Mellin transform on $\mathbb{Z}[\omega]$

Trending Questions

Popular # Hahtags

Popular Questions