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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) $

score 31 · Answer 1 · 2026-03-25 09:38:43

31

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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 25 Mar 2026 - 9:38

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93

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List Question

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) $

How are the $2\times 2$ matrix representation of $\mathbb{S}_3$ derived in Georgi's book?

Angles between vectors: is my textbook wrong here, or am I mistaken?

Proof of $\cos(\theta) da=r^2 d\Omega$

When Schrodinger operator has discrete spectrum?

Some basic terminology

How to define some integrals on the divergence theorem

Fermi-dirac integral with $1/p$ dependence in the exponent: $1/(1+\exp(a\cdot p+b/p+c))$

Heat Loss from a 1/2 Triaxial Ellipsoid (Tortoise)

Graphing solutions to the Schrodinger equation for a periodic potential

Parallel transport on the $n$-sphere

Calculate velocity vector along a curve (as a function of time)

Is there a theory in physcics that has not a mathematical theory?

what is the distance formula between two homogeneous coordinates

How to perform lorentz transformation on Cartesian coordinates $x= [x_1,x_2,x_3,x_4]$

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