Published In

Mathematica Pannonica New Series

Document Type

Article

Publication Date

6-30-2022

Subjects

Fourier coefficients, Modular forms

Abstract

In this paper we study the sum p≤xτ(np), where τ(n) denotes the number of divisors of n, and {np} is a sequence of integers indexed by primes. Under certain assumptions we show that the aforementioned sum is x as x → ∞. As an application, we consider the case where the sequence is given by the Fourier coefficients of a modular form.

Rights

Open Access statement. This is an open-access article distributed under the terms of the Creative Commons Attribution-
NonCommercial 4.0 International License (https://creativecommons.org/licenses/by-nc/4.0/), which permits unrestricted use, distribution, and reproduction in any medium for non-commercial purposes, provided the original author and source are credited, a link to the CC License is provided, and changes – if any – are indicated.

DOI

10.1556/314.2022.00019

Persistent Identifier

https://archives.pdx.edu/ds/psu/38382

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