On binary and quadratic divisor problems

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arxiv 1502.06067 v1 pith:3MAR2EV2 submitted 2015-02-21 math.NT

Farzad Aryan This is my paper · ORCID

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keywords divisorarithmeticbinaryconvolutionfunctionfunctionsotherproblems

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We study the shifted convolution sum of the divisor function and some other arithmetic functions.

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Twisted fourth moment of Dirichlet $L$-functions to a fixed modulus
math.NT 2025-07 conditional novelty 6.0 of 10

An asymptotic formula with power-saving error is established for the twisted fourth moment of Dirichlet L-functions to a fixed prime power modulus q=q0^n0 with n0 at least 50.