List questions from gauss-sums

72

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Can a bound be given to $\sum_{a=1}^{p-1}\chi(a)\left(\frac{a^2-1}{p}\right)$, which is smaller than $p$, where $\chi$ is a dirichlet character?

Published on 19 Apr 2019 - 9:26

118

Views

Sub-Sum of Roots of Unity

Published on 23 Feb 2026 - 4:56

187

Views

Quadratic Gauss Sum with Jacobi Symbol of even nonsquare free Modulus

Published on 23 Mar 2026 - 16:22

1k

Views

Trig identities analogous to $\tan(\pi/5)+4\sin(\pi/5)=\sqrt{5+2\sqrt{5}}$

Published on 23 Feb 2026 - 4:56

157

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Imprimitive Dirichlet characters as sum of additive characters

Published on 24 Jun 2019 - 23:54

7.7k

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Sum of even numbers N?

Published on 22 Mar 2026 - 9:17

39

Views

The sum $\sum_{t \not \mod - 1} \chi[t(t + 1)]$

Published on 13 Jul 2019 - 7:23

80

Views

Finding a formula for $(1^3)\cdot(n)+(2^3)\cdot(n-1)+(3^3)\cdot(n-2)+ \cdots + (n^3)\cdot(1)$

Published on 24 Aug 2019 - 13:32

697

Views

Equivalent definitions of the quadratic gauss sum

Published on 29 Mar 2014 - 15:11

448

Views

Properties of a Jacobi sum for $p=1\bmod 4$

Published on 06 Apr 2014 - 16:07

63

Views

Help Engineering maths

Published on 11 Apr 2014 - 1:43

590

Views

Decompose a sum of Gaussian curves

Published on 05 May 2014 - 15:31

452

Views

Gamma function and Gauss sums

Published on 28 Jul 2014 - 12:24

324

Views

Absolute value of a cubic Gauss sum (over Field $\mathbb{F}_p$ )

Published on 28 Jul 2014 - 20:19

351

Views

Dirichlet character modulo p

Published on 21 Oct 2014 - 18:50

List Question

Can a bound be given to $\sum_{a=1}^{p-1}\chi(a)\left(\frac{a^2-1}{p}\right)$, which is smaller than $p$, where $\chi$ is a dirichlet character?

Sub-Sum of Roots of Unity

Quadratic Gauss Sum with Jacobi Symbol of even nonsquare free Modulus

Trig identities analogous to $\tan(\pi/5)+4\sin(\pi/5)=\sqrt{5+2\sqrt{5}}$

Imprimitive Dirichlet characters as sum of additive characters

Sum of even numbers N?

The sum $\sum_{t \not \mod - 1} \chi[t(t + 1)]$

Finding a formula for $(1^3)\cdot(n)+(2^3)\cdot(n-1)+(3^3)\cdot(n-2)+ \cdots + (n^3)\cdot(1)$

Equivalent definitions of the quadratic gauss sum

Properties of a Jacobi sum for $p=1\bmod 4$

Help Engineering maths

Decompose a sum of Gaussian curves

Gamma function and Gauss sums

Absolute value of a cubic Gauss sum (over Field $\mathbb{F}_p$ )

Dirichlet character modulo p

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