Question

Example of holomorphic modular form of weight 2?

score 393 · Answer 1 · 2026-03-30 17:47:33

393

Views

Example of holomorphic modular form of weight 2?

Published on 30 Mar 2026 - 17:47

score 126 · Answer 2 · 2015-06-10 03:00:13

126

Views

For $s > 1,$ we have $\zeta(s) = \prod \left( \dfrac{1}{1-p^{-s}} \right)$

Published on 10 Jun 2015 - 3:00

score 497 · Answer 3 · 2015-06-13 02:39:08

497

Views

Let $S(x)=\sum_{p\le x,\; q\le x,\; pq\gt x}\frac{1}{pq}$, where p and q are primes. Find the limit of this function.

Published on 13 Jun 2015 - 2:39

score 429 · Answer 4 · 2015-06-13 03:24:33

429

Views

Show that $\sum_{n\le x} \mu ^2(n)=\frac{x}{\zeta(2)}+o(\sqrt{x}) \; (x\to \infty)$

Published on 13 Jun 2015 - 3:24

score 195 · Answer 5 · 2015-06-14 22:53:28

195

Views

Distribution of random divisor sums modulo n

Published on 14 Jun 2015 - 22:53

score 78 · Answer 6 · 2026-03-30 22:04:06

78

Views

Find motivation for calculating $\int_{2}^{X} A^2(t) A(\alpha t)dt$

Published on 30 Mar 2026 - 22:04

score 625 · Answer 7 · 2015-06-18 14:50:04

625

Views

$L(1,\chi) = \sum_{n=1}^{\infty}\frac{\chi (n)}{n} > 0$, for $\chi$ be the non-trivial real character

Published on 18 Jun 2015 - 14:50

score 481 · Answer 8 · 2026-04-04 09:09:50

481

Views

Proving the functional equation $\theta (x) = x^{-\frac{1}{2}} \theta (x^{-1})$ from the Poisson summation formula

Published on 04 Apr 2026 - 9:09

score 91 · Answer 9 · 2026-03-25 17:42:19

91

Views

How do I estimate the error term when computing the number of integers which have the fractional part of their square roots in a given interval?

Published on 25 Mar 2026 - 17:42

score 323 · Answer 10 · 2026-04-08 19:50:44

323

Views

What is known about these arithmetical functions?

Published on 08 Apr 2026 - 19:50

score 300 · Answer 11 · 2026-03-29 18:34:33

300

Views

Growth of the zeta function on the line $Re(s)=\frac{1}{2}$

Published on 29 Mar 2026 - 18:34

score 6.1k · Answer 12 · 2015-06-24 08:17:50

6.1k

Views

Divide a square into different parts

Published on 24 Jun 2015 - 8:17

score 464 · Answer 13 · 2015-06-25 21:00:42

464

Views

Sum of Reciprocals of Primes in Imaginary Quadratic Field Diverges (2014 Miklós Schweitzer)

Published on 25 Jun 2015 - 21:00

score 180 · Answer 14 · 2026-04-04 09:08:30

180

Views

How to get sine term in Analytical continuation of $\zeta(s)$

Published on 04 Apr 2026 - 9:08

score 120 · Answer 15 · 2015-06-27 19:32:15

120

Views

counting function of system of equations and Circle method

Published on 27 Jun 2015 - 19:32

List Question

Example of holomorphic modular form of weight 2?

For $s > 1,$ we have $\zeta(s) = \prod \left( \dfrac{1}{1-p^{-s}} \right)$

Let $S(x)=\sum_{p\le x,\; q\le x,\; pq\gt x}\frac{1}{pq}$, where p and q are primes. Find the limit of this function.

Show that $\sum_{n\le x} \mu ^2(n)=\frac{x}{\zeta(2)}+o(\sqrt{x}) \; (x\to \infty)$

Distribution of random divisor sums modulo n

Find motivation for calculating $\int_{2}^{X} A^2(t) A(\alpha t)dt$

$L(1,\chi) = \sum_{n=1}^{\infty}\frac{\chi (n)}{n} > 0$, for $\chi$ be the non-trivial real character

Proving the functional equation $\theta (x) = x^{-\frac{1}{2}} \theta (x^{-1})$ from the Poisson summation formula

How do I estimate the error term when computing the number of integers which have the fractional part of their square roots in a given interval?

What is known about these arithmetical functions?

Growth of the zeta function on the line $Re(s)=\frac{1}{2}$

Divide a square into different parts

Sum of Reciprocals of Primes in Imaginary Quadratic Field Diverges (2014 Miklós Schweitzer)

How to get sine term in Analytical continuation of $\zeta(s)$

counting function of system of equations and Circle method

Trending Questions

Popular # Hahtags

Popular Questions