The multiplicative group of rationals generated by the shifted primes, I.

DOI10.1515/crll.1995.463.169zbMath0817.11042OpenAlexW4241956251MaRDI QIDQ4837276

Peter D. T. A. Elliott

Publication date: 2 July 1995

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002212722

zbMATH Keywords

harmonic analysislarge sievedispersion methodSelberg sievemultiplicative group of positive rationalsdistribution of primes in residue classes to large moduliestimates for sums of multiplicative functions on shifted primes

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36) Harmonic analysis and almost periodicity in probabilistic number theory (11K70) Arithmetic functions in probabilistic number theory (11K65)

Related Items (3)

HARMONIC ANALYSIS ON THE POSITIVE RATIONALS. DETERMINATION OF THE GROUP GENERATED BY THE RATIOS ⋮ A concentration property with respect to the Euler function ⋮ On a multiplicative function on the set of shifted primes

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