Question

To prove that a theta series of a quadratic form is a modular form

score 317 · Answer 1 · 2026-03-29 19:17:27

317

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To prove that a theta series of a quadratic form is a modular form

Published on 29 Mar 2026 - 19:17

score 307 · Answer 2 · 2026-03-25 20:34:29

307

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Why so many numbers with 12 divisors?

Published on 25 Mar 2026 - 20:34

score 112 · Answer 3 · 2017-03-13 14:19:35

112

Views

Is $1/\sum_{n=1}^\infty \frac{\mu(n)}{n}\operatorname{Li}\left(x^{1/n}\right)$ a convex function?

Published on 13 Mar 2017 - 14:19

score 186 · Answer 4 · 2026-03-25 23:38:16

186

Views

Where does this series converge $\sum_{n=1}^\infty\frac{(-1)^{\mu(n)}}{n^s}$, being $\mu(n)$ the Möbius function?

Published on 25 Mar 2026 - 23:38

score 379 · Answer 5 · 2017-03-14 07:39:01

379

Views

Asymptotics of A283190

Published on 14 Mar 2017 - 7:39

score 392 · Answer 6 · 2017-03-15 06:38:36

392

Views

Summation function of the inverse of Euler function

Published on 15 Mar 2017 - 6:38

score 132 · Answer 7 · 2017-03-15 16:15:09

132

Views

Newman's elementary proof of prime number theorem

Published on 15 Mar 2017 - 16:15

score 203 · Answer 8 · 2017-03-17 18:52:22

203

Views

An asymptotic formula for $\sum_{n\leq x}\tau_k(n)$

Published on 17 Mar 2017 - 18:52

score 65 · Answer 9 · 2026-03-25 15:42:33

65

Views

On $\frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty}\eta'(s)\frac{x^s}{s\zeta(s)}ds$, for $c>1$, where $\eta(s)$ is the Dirichlet Eta function

Published on 25 Mar 2026 - 15:42

score 1.5k · Answer 10 · 2026-03-28 07:57:12

1.5k

Views

Sum of reciprocals of $\phi(n)$

Published on 28 Mar 2026 - 7:57

score 136 · Answer 11 · 2026-03-28 01:06:36

136

Views

Extension of the Green-Tao theorem

Published on 28 Mar 2026 - 1:06

score 413 · Answer 12 · 2017-03-19 17:21:12

413

Views

the difference between $n$-th prime number and $li^{-1} (n)$ (inverse logarithmic integral function)?

Published on 19 Mar 2017 - 17:21

score 79 · Answer 13 · 2017-03-19 19:32:51

79

Views

How many integers have no prime factor bigger than their own square root?

Published on 19 Mar 2017 - 19:32

score 166 · Answer 14 · 2017-03-20 22:38:13

166

Views

How to verify non-vanishing Dirichlet L-function?

Published on 20 Mar 2017 - 22:38

score 634 · Answer 15 · 2017-03-20 23:18:36

634

Views

Dirichlet's theorem on primes in arithmetic progressions: how to arrive at the result naturally?

Published on 20 Mar 2017 - 23:18

List Question

To prove that a theta series of a quadratic form is a modular form

Why so many numbers with 12 divisors?

Is $1/\sum_{n=1}^\infty \frac{\mu(n)}{n}\operatorname{Li}\left(x^{1/n}\right)$ a convex function?

Where does this series converge $\sum_{n=1}^\infty\frac{(-1)^{\mu(n)}}{n^s}$, being $\mu(n)$ the Möbius function?

Asymptotics of A283190

Summation function of the inverse of Euler function

Newman's elementary proof of prime number theorem

An asymptotic formula for $\sum_{n\leq x}\tau_k(n)$

On $\frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty}\eta'(s)\frac{x^s}{s\zeta(s)}ds$, for $c>1$, where $\eta(s)$ is the Dirichlet Eta function

Sum of reciprocals of $\phi(n)$

Extension of the Green-Tao theorem

the difference between $n$-th prime number and $li^{-1} (n)$ (inverse logarithmic integral function)?

How many integers have no prime factor bigger than their own square root?

How to verify non-vanishing Dirichlet L-function?

Dirichlet's theorem on primes in arithmetic progressions: how to arrive at the result naturally?

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