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Introduction
Arithmetic Properties of Binomial Coefficients I: Binomial Coefficients modulo prime powers
Andrew Granville
Department of Mathematics
University of Georgia
Introduction.
Elementary Number Theory and the Proof of Theorem 1.
Binomial coefficients modulo prime powers.
Recognizing the primes.
Pascal's triangle via cellular automata.
Studying binomial coefficients through their generating function.
Sums of Binomial Coefficients
Bernoulli numbers and polynomials.
Generalization of Morley's Theorem.
Some useful p--adic numbers.
Congruences modulo powers of primes
Concluding remarks.
Bibliographic material
References
A list of
math
activations
A list of related links
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Contents
Next:
Introduction