Question

Understanding definition of Adelic integral and calculate simple example

score 110 · Answer 1 · 2026-03-25 10:54:18

110

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Understanding definition of Adelic integral and calculate simple example

Published on 25 Mar 2026 - 10:54

score 46 · Answer 2 · 2026-02-23 10:06:17

46

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The function $f(n) = \sum_{d \mid p_n\#} \mu(d)\sum_{r^2 = 1\mod d}\lfloor\frac{p_{n+1}^2 - 2 - r}{d}\rfloor$ has no fixed point $f(n) = n$?

Published on 23 Feb 2026 - 10:06

score 52 · Answer 3 · 2026-03-30 07:20:42

52

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Hurwitz formula for Eisenstein series and other closed forms.

Published on 30 Mar 2026 - 7:20

score 43 · Answer 4 · 2023-11-01 07:09:01

43

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Subconvexity bound of a twisted L-function?

Published on 01 Nov 2023 - 7:09

score 41 · Answer 5 · 2026-03-26 02:58:27

41

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Triple Product Formula on $K = SU(2)$

Published on 26 Mar 2026 - 2:58

score 80 · Answer 6 · 2026-04-06 17:50:13

80

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Proof of Dirichlet's Theorem on Primes using $\sum_{\substack{p=1\\ p\equiv h\bmod k}}^\infty\frac{\ln p}{p^s}\sim\frac{1}{\varphi(k)(s-1)}$

Published on 06 Apr 2026 - 17:50

score 84 · Answer 7 · 2026-03-30 07:20:42

84

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Relationships between Riemann Xi and Jacobi Theta functions

Published on 30 Mar 2026 - 7:20

score 69 · Answer 8 · 2023-11-06 03:55:47

69

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Estimating $\pi(x)$ in terms of logarithmic integral

Published on 06 Nov 2023 - 3:55

score 22 · Answer 9 · 2026-03-25 16:03:29

22

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$(\Delta^{(\infty)})^{p+1} \leq N(p+1)\Delta^{(p)}$ i.e. Equivalence of $p$-discrepancies

Published on 25 Mar 2026 - 16:03

score 80 · Answer 10 · 2026-03-25 17:37:20

80

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Functional equation for $\theta$ function using functional equation of $\zeta(s)$

Published on 25 Mar 2026 - 17:37

score 97 · Answer 11 · 2023-11-09 17:00:36

97

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Direct proof for $\sum_{n\le x}\frac{\mu (n)}{n}=O(1)$

Published on 09 Nov 2023 - 17:00

score 84 · Answer 12 · 2026-04-03 13:14:29

84

Views

Analytic functions such that $\sum_{n=2}^{\infty} f(n) \left( \zeta(n)-1 \right)$ can be evaluated, but $\sum_{n=2}^{\infty} f(n)$ can't

Published on 03 Apr 2026 - 13:14

score 74 · Answer 13 · 2026-04-02 11:33:52

74

Views

Dirichlet generating function that generates itself

Published on 02 Apr 2026 - 11:33

score 148 · Answer 14 · 2023-11-12 18:40:30

148

Views

Complex logarithm of zeta functions and L-functions

Published on 12 Nov 2023 - 18:40

score 52 · Answer 15 · 2026-04-03 13:18:38

52

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Convergence of $\sum_{\rho} |\Gamma(\rho)|$

Published on 03 Apr 2026 - 13:18

List Question

Understanding definition of Adelic integral and calculate simple example

The function $f(n) = \sum_{d \mid p_n\#} \mu(d)\sum_{r^2 = 1\mod d}\lfloor\frac{p_{n+1}^2 - 2 - r}{d}\rfloor$ has no fixed point $f(n) = n$?

Hurwitz formula for Eisenstein series and other closed forms.

Subconvexity bound of a twisted L-function?

Triple Product Formula on $K = SU(2)$

Proof of Dirichlet's Theorem on Primes using $\sum_{\substack{p=1\\ p\equiv h\bmod k}}^\infty\frac{\ln p}{p^s}\sim\frac{1}{\varphi(k)(s-1)}$

Relationships between Riemann Xi and Jacobi Theta functions

Estimating $\pi(x)$ in terms of logarithmic integral

$(\Delta^{(\infty)})^{p+1} \leq N(p+1)\Delta^{(p)}$ i.e. Equivalence of $p$-discrepancies

Functional equation for $\theta$ function using functional equation of $\zeta(s)$

Direct proof for $\sum_{n\le x}\frac{\mu (n)}{n}=O(1)$

Analytic functions such that $\sum_{n=2}^{\infty} f(n) \left( \zeta(n)-1 \right)$ can be evaluated, but $\sum_{n=2}^{\infty} f(n)$ can't

Dirichlet generating function that generates itself

Complex logarithm of zeta functions and L-functions

Convergence of $\sum_{\rho} |\Gamma(\rho)|$

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