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JACOBI-TYPE SUMS WITH AN EXPLICIT EVALUATION MODULO PRIME POWERS
Journal article   Peer reviewed

JACOBI-TYPE SUMS WITH AN EXPLICIT EVALUATION MODULO PRIME POWERS

Badria Alsulmi, Vincent Pigno and Christopher Pinner
Functiones et approximatio commentarii mathematici, Vol.56(1), pp.49-60
01/03/2017
DOI: https://doi.org/10.7169/facm/1590

Abstract

Mathematics Physical Sciences Science & Technology
We show that for Dirichlet characters X-1, ... , X-s mod p(m) the sum (pm)Sigma(x1=1) ... (pm)Sigma(xs=1) x1(()x(1)) ... x(s)(x(s)), A(1)x(1)(k1) + ... + A(s)x(s)(ks) equivalent to B mod p(m) has a simple evaluation when m is sufficiently large.

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