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Character sums with an explicit evaluation

  • Badria Alsulmi EMAIL logo , Vincent Pigno and Christopher Pinner
From the journal Mathematica Slovaca

Abstract

We show that for Dirichlet characters χ, χ1, …, χs mod pm the sum

x1=1pmxs=1pmχ1(x1)χs(xs)χ(A1x1++Asxs+Bx1w1xsws)

has a simple evaluation when m is sufficently large, for m ≥ 2 if

p2A1AsB(1w1ws).

(Communicated by Federico Pellarin)


References

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Received: 2015-3-26
Accepted: 2015-8-6
Published Online: 2017-6-5
Published in Print: 2017-6-27

© 2017 Mathematical Institute Slovak Academy of Sciences

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