Harmonic Analysis on the Positive Rationals I: Basic Results

2014/05/28 by P. D. T. A. Elliott, Elliott, P. D. T. A., Jonathan Kish +1 · 1 citation
Mathematics · #Functional Equations Stability Results #Analytic Number Theory Research #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1405.7130

Abstract

This is the first of two coupled papers estimating the mean values of multiplicative functions, of unknown support, on arithmetic progressions with large differences. Applications are made to the study of primes in arithmetic progression and to the Fourier coefficients of automorphic cusp forms.

Cited by

• On effective mean-values of arithmetic functions

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