List questions from analytic-number-theory

Published on 07 Nov 2019 - 15:05

37

Views

An application of partial summation to estimate the sum $\sum_{\mathbf{x}} 1/ \sqrt{x_1^4 + x_1^2x_2^2 + x_2^4 }$

Published on 26 Mar 2026 - 11:18

121

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Why is the Ruelle zeta function called a zeta function?

Published on 31 Mar 2026 - 19:12

430

Views

Is it true that at least two of any consecutive $2m$ positive integers cannot be divided by odd prime numbers less than $2m$?

Published on 23 Feb 2026 - 5:45

107

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Does an entire modular form (for $\operatorname{SL}_2(\Bbb Z)$) that is not a cusp form vanish at any cusp?

Published on 28 Mar 2026 - 11:27

71

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Question (Potentially Silly) about L functions

Published on 25 Mar 2026 - 17:21

64

Views

Why $\int_0^{\infty} f(t)dt = \lim_{\tau \to \infty }g_\tau (0)$?

Published on 19 Nov 2019 - 7:47

223

Views

Does normal order imply average order?

Published on 25 Mar 2026 - 23:35

73

Views

How to Show $\int_n^{n+1}(\frac{1}{n^s}-\frac{1}{x^s})dx$ is Analytic

Published on 20 Nov 2019 - 12:25

187

Views

Reason why uniform convergence is required to $\zeta(s)$ is convergent?

Published on 21 Nov 2019 - 6:14

274

Views

Sum of squares of Weber Modular Functions

Published on 28 Mar 2026 - 9:50

849

Views

Is every prime is the largest prime factor in some prime gap?

Published on 02 Apr 2026 - 17:29

25

Views

On equivalence of pairs of doubly periodic functions

Published on 25 Mar 2026 - 19:10

123

Views

Integration of Closed Curve: What is the difference between $\gamma_- $ and $\gamma'_{-}$?

Published on 29 Mar 2026 - 11:44

73

Views

Regarding application of Laurent series in analytic number theory to deduce absolute convergence

Published on 28 Mar 2026 - 6:00

List Question

Convergence Locally in Uniform Convergence

An application of partial summation to estimate the sum $\sum_{\mathbf{x}} 1/ \sqrt{x_1^4 + x_1^2x_2^2 + x_2^4 }$

Why is the Ruelle zeta function called a zeta function?

Is it true that at least two of any consecutive $2m$ positive integers cannot be divided by odd prime numbers less than $2m$?

Does an entire modular form (for $\operatorname{SL}_2(\Bbb Z)$) that is not a cusp form vanish at any cusp?

Question (Potentially Silly) about L functions

Why $\int_0^{\infty} f(t)dt = \lim_{\tau \to \infty }g_\tau (0)$?

Does normal order imply average order?

How to Show $\int_n^{n+1}(\frac{1}{n^s}-\frac{1}{x^s})dx$ is Analytic

Reason why uniform convergence is required to $\zeta(s)$ is convergent?

Sum of squares of Weber Modular Functions

Is every prime is the largest prime factor in some prime gap?

On equivalence of pairs of doubly periodic functions

Integration of Closed Curve: What is the difference between $\gamma_- $ and $\gamma'_{-}$?

Regarding application of Laurent series in analytic number theory to deduce absolute convergence

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