List questions from quadratic-reciprocity

Published on 12 Dec 2017 - 12:18

53

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Why is it the case that if $a$ is a primitive root of $x^p=1$, then $\frac{x^p-1}{x-1}=(x-a^2)(x-a^4)...(x-a^{2(p-1)})=1+x+x^2+...+x^{p-1}$?

Published on 13 Dec 2017 - 16:08

783

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A particular case of the quadratic reciprocity law

Published on 10 Nov 2010 - 4:26

13.2k

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Uses of quadratic reciprocity theorem

Published on 14 Nov 2010 - 9:49

719

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Quadratic Congruence and Sum of Two Squares

Published on 26 Nov 2010 - 17:44

706

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Where does Quadratic Reciprocity point?

Published on 03 Feb 2011 - 17:20

1.1k

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Help complete a proof of Dirichlet on biquadratic character of 2?

Published on 02 Mar 2011 - 22:00

504

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How to discover how to evaluate the Gauss sum?

Published on 16 Apr 2011 - 16:18

1.7k

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How does one see Hecke Operators as helping to generalize Quadratic Reciprocity?

Published on 07 Aug 2011 - 0:20

347

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Roots of $x^2 + 2x + 2$

Published on 10 Aug 2011 - 4:45

584

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Is quadratic residuosity problem in coNP?

Published on 09 Oct 2011 - 13:10

2.7k

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Explicit formula for Fermat's 4k+1 theorem

Published on 19 Oct 2011 - 21:31

1.3k

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Conceptual Proof of Quadratic Reciprocity

Published on 30 Oct 2011 - 13:30

1.1k

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How can one deduce quadratic reciprocity from Hilbert reciprocity?

Published on 30 Oct 2011 - 22:51

475

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Special Cases of Quadratic Reciprocity and Counting Fixed Points

Published on 03 Nov 2011 - 20:46

List Question

Prime factors of $16k^4 +1$ mod $8$

Why is it the case that if $a$ is a primitive root of $x^p=1$, then $\frac{x^p-1}{x-1}=(x-a^2)(x-a^4)...(x-a^{2(p-1)})=1+x+x^2+...+x^{p-1}$?

A particular case of the quadratic reciprocity law

Uses of quadratic reciprocity theorem

Quadratic Congruence and Sum of Two Squares

Where does Quadratic Reciprocity point?

Help complete a proof of Dirichlet on biquadratic character of 2?

How to discover how to evaluate the Gauss sum?

How does one see Hecke Operators as helping to generalize Quadratic Reciprocity?

Roots of $x^2 + 2x + 2$

Is quadratic residuosity problem in coNP?

Explicit formula for Fermat's 4k+1 theorem

Conceptual Proof of Quadratic Reciprocity

How can one deduce quadratic reciprocity from Hilbert reciprocity?

Special Cases of Quadratic Reciprocity and Counting Fixed Points

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