On the distribution of the roots of certain congruences and a problem for additive arithmetic functions

DOI10.1016/0022-314X(83)90045-8zbMath0516.10049OpenAlexW2024839717MaRDI QIDQ1052391

Peter D. T. A. Elliott

Publication date: 1983

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(83)90045-8

zbMATH Keywords

exponential sumsKloosterman sumsieve methodsadditive arithmetic functionasymptotic distribution of roots of congruences

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Estimates on character sums (11L40) Arithmetic functions in probabilistic number theory (11K65) Sieves (11N35)

Related Items (2)

Extraction of subsystems ``majorized by the Rademacher system ⋮ On additive arithmetic functions f(n) for which \(f(an+b)-f(cn+d)\) is bounded

Cites Work

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• Topics in multiplicative number theory
• On the distribution function of additive functions

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