Affiliation:
1. Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand
Abstract
Using the exponent pair method, a bound is derived for the sum ∑manb≤xχ1a(m)χ2b(n), where a,b are fixed positive integers, χ1,χ2 are primitive Dirichlet characters modulo q1 and q2, respectively, and χ1a,χ2b are not principal characters. As an application, an estimate for the error term in an asymptotic formula for the number of square-full integers simultaneously belonging to two arithmetic progressions is obtained.
Funder
Faculty of Science (International SciKU Branding, ISB), Kasetsart University, Thailand
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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