Question

Calculate an upper bound for $\left|e^{\psi(N)}-\sum_{p_k\leq e^{\psi(N)}}(p_{k+1}-p_k)^2\right|$

score 130 · Answer 1 · 2026-03-25 06:21:38

130

Views

Calculate an upper bound for $\left|e^{\psi(N)}-\sum_{p_k\leq e^{\psi(N)}}(p_{k+1}-p_k)^2\right|$

Published on 25 Mar 2026 - 6:21

score 222 · Answer 2 · 2016-08-12 13:37:42

222

Views

Prove: Finitely many Positive Integers $n, s $ such that $n!=2^s(2^{s−2}−1)$

Published on 12 Aug 2016 - 13:37

score 155 · Answer 3 · 2016-08-12 18:30:46

155

Views

Global Dedekind zeta function determines local zeta functions

Published on 12 Aug 2016 - 18:30

score 127 · Answer 4 · 2016-08-14 01:16:08

127

Views

$\sum_{p}\frac{1}{p^s}$ how can i solve this?

Published on 14 Aug 2016 - 1:16

score 29 · Answer 5 · 2026-03-26 09:22:34

29

Views

Bounds for the moments of complex geometric sums

Published on 26 Mar 2026 - 9:22

score 54 · Answer 6 · 2016-08-14 13:33:52

54

Views

Why does this method of finding the sum of the squares from one to n fail?

Published on 14 Aug 2016 - 13:33

score 143 · Answer 7 · 2026-03-25 17:42:14

143

Views

On $-\log (2\pi)\sigma_0(n)-\frac{1}{2}\sum_{1<d\mid n}\log\left(\frac{1+2d}{(d+1)^2}\right),$ where $\sigma_0(n)=\sum_{d\mid n}1$ and its twists

Published on 25 Mar 2026 - 17:42

score 4.8k · Answer 8 · 2026-03-25 22:10:43

4.8k

Views

The Möbius function is the sum of the primitive $n$th roots of unity.

Published on 25 Mar 2026 - 22:10

score 174 · Answer 9 · 2016-08-15 03:14:39

Why is there always a multiplicative function $g$ such that $\sum\limits_{k=1}^n f(\gcd(n,k)) = \sum\limits_{d\mid n} f(d)g(\tfrac{n}{d})$?

score 80 · Answer 10 · 2026-03-25 13:13:30

80

Views

Determine Fourier coefficients by the values of its L-Series.

Published on 25 Mar 2026 - 13:13

score 105 · Answer 11 · 2016-08-15 16:38:05

105

Views

Given $n$, is there a $k$ and a prime $p$ such that $10^kn < p < 10^k(n+1)$?

Published on 15 Aug 2016 - 16:38

score 171 · Answer 12 · 2016-08-16 11:19:21

171

Views

Give me any example of imprimitive and primitive Dirichlet characters

Published on 16 Aug 2016 - 11:19

score 247 · Answer 13 · 2026-03-25 12:54:29

247

Views

What does the Hecke bound $|a_n| < C n$ say about $\theta(z)^4$?

Published on 25 Mar 2026 - 12:54

score 80 · Answer 14 · 2026-03-25 11:15:00

80

Views

Explanation of a deduction in "On $L^{\infty}$ norms of holomorphic cusp forms"

Published on 25 Mar 2026 - 11:15

score 79 · Answer 15 · 2026-03-25 16:00:19

79

Views

Is the twist of a primitive L-function itself primitive?

Published on 25 Mar 2026 - 16:00

List Question

Calculate an upper bound for $\left|e^{\psi(N)}-\sum_{p_k\leq e^{\psi(N)}}(p_{k+1}-p_k)^2\right|$

Prove: Finitely many Positive Integers $n, s $ such that $n!=2^s(2^{s−2}−1)$

Global Dedekind zeta function determines local zeta functions

$\sum_{p}\frac{1}{p^s}$ how can i solve this?

Bounds for the moments of complex geometric sums

Why does this method of finding the sum of the squares from one to n fail?

On $-\log (2\pi)\sigma_0(n)-\frac{1}{2}\sum_{1<d\mid n}\log\left(\frac{1+2d}{(d+1)^2}\right),$ where $\sigma_0(n)=\sum_{d\mid n}1$ and its twists

The Möbius function is the sum of the primitive $n$th roots of unity.

Why is there always a multiplicative function $g$ such that $\sum\limits_{k=1}^n f(\gcd(n,k)) = \sum\limits_{d\mid n} f(d)g(\tfrac{n}{d})$?

Determine Fourier coefficients by the values of its L-Series.

Given $n$, is there a $k$ and a prime $p$ such that $10^kn < p < 10^k(n+1)$?

Give me any example of imprimitive and primitive Dirichlet characters

What does the Hecke bound $|a_n| < C n$ say about $\theta(z)^4$?

Explanation of a deduction in "On $L^{\infty}$ norms of holomorphic cusp forms"

Is the twist of a primitive L-function itself primitive?

Trending Questions

Popular # Hahtags

Popular Questions