List questions from gauss-sums

Published on 29 Nov 2016 - 21:50

30

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Gauss sum variant: $ \sum_{ a, b \in \mathbb{Z} } e^{-i \pi (a^2+b^2)/p } \big( e^{\pi(a-b)} + e^{-\pi(a-b)} \big) $

Published on 09 Jan 2017 - 15:22

151

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Upper bound on the summation of roots of unity

Published on 12 Feb 2017 - 12:21

169

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Proof of twisted Poisson summation formula using 'smoothed' Dirichlet characters?

Published on 19 Mar 2026 - 9:33

31

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Gauss sum involved in the Hecke action on classical Hilbert modular forms

Published on 25 Mar 2026 - 3:01

102

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A problem with showing that $g_a^2=(-1)^{\tfrac{p-1}{2}}p$ for quadratic Gauss sums $g_a$

Published on 11 Apr 2023 - 17:50

33

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How does Ireland-Rosen reduce the coefficient of $z^{\frac{p-1}{2}}$ into this neat form in Kronecker proof of Gaussian sums?

Published on 17 Apr 2023 - 18:41

90

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A Relation between Dirichlet L functions for Quadratic Character and Gauss sums

Published on 20 Apr 2023 - 17:29

27

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Question about Gauss Sums

Published on 23 Apr 2023 - 0:38

56

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Help with summing characters

Published on 22 Mar 2026 - 7:20

180

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Question on a Gaussian sum and Jacobi sum identity

Published on 19 Mar 2026 - 9:07

104

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$\chi(n)=\frac{\tau_k(\chi)}{\sqrt k}\sum_{m=1}^k \bar\chi(m)e^{-\frac{2\pi imn}{k}}$

Published on 19 Mar 2026 - 12:26

434

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Writing a Gauss sum as a sum over divisors

Published on 22 Mar 2015 - 19:16

49

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Summation Sequence

Published on 29 Mar 2015 - 16:07

141

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Summation Sequence Question

Published on 29 Mar 2015 - 18:27

List Question

Gauss Sum calculation

Gauss sum variant: $ \sum_{ a, b \in \mathbb{Z} } e^{-i \pi (a^2+b^2)/p } \big( e^{\pi(a-b)} + e^{-\pi(a-b)} \big) $

Upper bound on the summation of roots of unity

Proof of twisted Poisson summation formula using 'smoothed' Dirichlet characters?

Gauss sum involved in the Hecke action on classical Hilbert modular forms

A problem with showing that $g_a^2=(-1)^{\tfrac{p-1}{2}}p$ for quadratic Gauss sums $g_a$

How does Ireland-Rosen reduce the coefficient of $z^{\frac{p-1}{2}}$ into this neat form in Kronecker proof of Gaussian sums?

A Relation between Dirichlet L functions for Quadratic Character and Gauss sums

Question about Gauss Sums

Help with summing characters

Question on a Gaussian sum and Jacobi sum identity

$\chi(n)=\frac{\tau_k(\chi)}{\sqrt k}\sum_{m=1}^k \bar\chi(m)e^{-\frac{2\pi imn}{k}}$

Writing a Gauss sum as a sum over divisors

Summation Sequence

Summation Sequence Question

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