11 citations · 19 across the 8 of their papers we have counts for
9 papers · 1 filter
Harmonic Analysis on the Positive Rationals. Computation of Character Sums
P. D. T. A. Elliott, Jonathan Kish
The authors review results implicit in their recent paper [2] on the product/quotient representation of rationals by rationals of the type and give a detail…
Multiplicative Function Mean Values: Asymptotic Estimates
P. D. T. A. Elliott
Classical mean-value results of Wirsing type in analytic number theory are established under weaker than classical conditions.
Harmonic Analysis on the Positive Rationals. Determination of the Group Generated by the Ratios
P. D. T. A. Elliott, Jonathan Kish
The authors show how to determine the group generated by the ratios through its dual.
Harmonic Analysis on the Positive Rationals II: Multiplicative Functions and Maass Forms
P. D. T. A. Elliott, Jonathan Kish
This is the second of two coupled papers estimating the mean values of multiplicative functions, of unknown support, on arithmetic progressions with large differences. Applications…
Harmonic Analysis on the Positive Rationals I: Basic Results
P. D. T. A. Elliott, Jonathan Kish
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…
Multiplicative Functions and a Taxonomy of Dirichlet Characters
P. D. T. A. Elliott, Jonathan Kish
A method of estimating sums of multiplicative functions braided with Dirichlet characters is demonstrated, leading to a taxonomy of the characters for which such sums are large.