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Pure Notes | Mathematical notes on algebra, number theory, and their applications.

Mathematical notes on algebra, number theory, and their applications. (by Weaam)

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Pure Notes | Mathematical notes on algebra, number theory, and their applications. | purenotes.wordpress.com Reviews

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Mathematical notes on algebra, number theory, and their applications. (by Weaam)

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1

Diophantine equations through congruences and quadratic residues – Pure Notes

https://purenotes.wordpress.com/2010/09/16/solving-diophantine-equations1

Mathematical notes on algebra, number theory, and their applications. Diophantine equations through congruences and quadratic residues. September 16, 2010. September 22, 2010. In this first post, I’ll discuss a basic technique in proving that an equation do not have a solution in integers, assisted by two useful results from number theory, namely Fermat little theorem (see for a Proof of Euler/Fermat theorem with graphical and sage examples. Has a solution in integers,. Don’t have a solution. Case by cas...

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Weaam – Pure Notes

https://purenotes.wordpress.com/author/weaamafifi

Mathematical notes on algebra, number theory, and their applications. Fermat little theorem and Lagrange theorem with illustrations and Sage examples. September 17, 2010. September 27, 2010. For each a in Z/nZ = {0,1,2,…, n-1}, is. For some nonzero k ever satisfied? Let a = 2 in Z/6Z = {0,1,2,3,4,5}. Then the following computation shows that. Is never satisfied for nonzero k. Starting from the element. Fig 1: Z/6Z (with 0 omitted), why assuming gcd(a,n)=1 is necessary. The only arrows that works. And so ...

3

Fermat little theorem & Lagrange theorem with illustrations and Sage examples – Pure Notes

https://purenotes.wordpress.com/2010/09/17/fermat-little-theorem-ii-the-algebraic-proof-and-euler-totient-theorem

Mathematical notes on algebra, number theory, and their applications. Fermat little theorem and Lagrange theorem with illustrations and Sage examples. September 17, 2010. September 27, 2010. For each a in Z/nZ = {0,1,2,…, n-1}, is. For some nonzero k ever satisfied? Let a = 2 in Z/6Z = {0,1,2,3,4,5}. Then the following computation shows that. Is never satisfied for nonzero k. Starting from the element. Fig 1: Z/6Z (with 0 omitted), why assuming gcd(a,n)=1 is necessary. The only arrows that works. And so ...

4

Fermat little theorem & Lagrange theorem with illustrations and Sage examples – Pure Notes

https://purenotes.wordpress.com//2010/09/17/fermat-little-theorem-ii-the-algebraic-proof-and-euler-totient-theorem

Mathematical notes on algebra, number theory, and their applications. Fermat little theorem and Lagrange theorem with illustrations and Sage examples. September 17, 2010. September 27, 2010. For each a in Z/nZ = {0,1,2,…, n-1}, is. For some nonzero k ever satisfied? Let a = 2 in Z/6Z = {0,1,2,3,4,5}. Then the following computation shows that. Is never satisfied for nonzero k. Starting from the element. Fig 1: Z/6Z (with 0 omitted), why assuming gcd(a,n)=1 is necessary. The only arrows that works. And so ...

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Pure Notes | Mathematical notes on algebra, number theory, and their applications.

Mathematical notes on algebra, number theory, and their applications. Fermat little theorem and Lagrange theorem with illustrations and Sage examples. September 17, 2010. September 27, 2010. For each a in Z/nZ = {0,1,2,…, n-1}, is. For some nonzero k ever satisfied? Let a = 2 in Z/6Z = {0,1,2,3,4,5}. Then the following computation shows that. Is never satisfied for nonzero k. Starting from the element. Fig 1: Z/6Z (with 0 omitted), why assuming gcd(a,n)=1 is necessary. The only arrows that works. And so ...

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