List questions from dirichlet-character

Published on 07 Jan 2021 - 22:06

26

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$ \prod_{k=0}^\infty \prod_{j=1}^q ( 1- \chi(j) z/(kq+j) ) = (1-z) \prod_{k=2}^\infty ( 1 - \chi(k) z/k) $

Published on 08 Jan 2021 - 14:16

203

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Dirichlet L-series and Hecke L-series

Published on 26 Feb 2021 - 9:32

238

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Equivalent definition of primitive Dirichlet character

Published on 09 Mar 2021 - 18:52

74

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Confusion with notation for Dirichlet characters

Published on 11 Mar 2021 - 6:44

96

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Proof that the product of $L$-function over all Dirichlet characters is not less than 1 (from Fourier Analysis by Stein)

Published on 13 Mar 2021 - 0:00

187

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On the property of Gauss sum

Published on 18 Mar 2021 - 16:48

219

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Primitive and Induced Dirichlet Characters

Published on 05 Apr 2021 - 12:45

220

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How would one motivate/know to introduce the Dirichlet character in the formula for the number of lattice points on a circle of radius $\sqrt N$

Published on 24 Aug 2021 - 2:51

139

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Formula for twisted generalized quadratic Gauss sums

Published on 30 Aug 2021 - 15:25

523

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Polynomials whose fractional part behaves like a logarithm

Published on 23 Oct 2021 - 11:03

219

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Unitary characters of $1$-torus

Published on 12 Nov 2021 - 14:46

62

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Why is the name "orthogonality"?

Published on 16 Dec 2021 - 13:49

106

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Looking for table of special values of the Dirichlet $L$-function

Published on 23 Dec 2021 - 8:55

198

Views

Sum over primitive Dirichlet characters

Published on 07 Feb 2022 - 14:00

List Question

Relationship between Dirichlet character and Legrendre symbol

$ \prod_{k=0}^\infty \prod_{j=1}^q ( 1- \chi(j) z/(kq+j) ) = (1-z) \prod_{k=2}^\infty ( 1 - \chi(k) z/k) $

Dirichlet L-series and Hecke L-series

Equivalent definition of primitive Dirichlet character

Confusion with notation for Dirichlet characters

Proof that the product of $L$-function over all Dirichlet characters is not less than 1 (from Fourier Analysis by Stein)

On the property of Gauss sum

Primitive and Induced Dirichlet Characters

How would one motivate/know to introduce the Dirichlet character in the formula for the number of lattice points on a circle of radius $\sqrt N$

Formula for twisted generalized quadratic Gauss sums

Polynomials whose fractional part behaves like a logarithm

Unitary characters of $1$-torus

Why is the name "orthogonality"?

Looking for table of special values of the Dirichlet $L$-function

Sum over primitive Dirichlet characters

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