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New York University Polytechnic School of Engineering    
  Jan 16, 2018
2013-2014 Undergraduate and Graduate Bulletin (with addenda) [ARCHIVED CATALOG]

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MA-GY 6133 Elements of Number Theory

3 Credits
This course covers: prime numbers, the fundamental theorem of arithmetic, linear Diophantine equations. Fermat’s Little Theorem, Wilson’s Theorem, Euler’s Theorem. Linear congruences, Chinese Remainder Theorem, Euler phi function, Moebius inversion. Primitive roots and indices, quadratic congruences, Quadratic reciprocity law. Perfect numbers, sums of squares, Siegel’s Theorem. The prime number theorem. Computational number theory, primality testing, Cryptography. Elliptic curves.

Prerequisite(s): MA-GY 6003  or adviser’s approval.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0

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