Harmonic Analysis on the Positive Rationals I: Basic Results
Number Theory
2014-05-29 v1
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.
Cite
@article{arxiv.1405.7130,
title = {Harmonic Analysis on the Positive Rationals I: Basic Results},
author = {P. D. T. A. Elliott and Jonathan Kish},
journal= {arXiv preprint arXiv:1405.7130},
year = {2014}
}