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arXiv · 1405.7130

Harmonic Analysis on the Positive Rationals I: Basic Results

P. D. T. A. Elliott·Jonathan Kish
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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.

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P. D. T. A. Elliott, Jonathan Kish. 2014-05-28. Harmonic Analysis on the Positive Rationals I: Basic Results. https://arxiv.org/abs/1405.7130

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