Congruences and rational exponential sums with the Euler function

DOI10.1216/rmjm/1181069373zbMath1193.11095OpenAlexW1966306478MaRDI QIDQ2477893

William D. Banks, Igor E. Shparlinski

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1181069373

zbMATH Keywords

exponential sumsEuler totient functionEuler phi-function

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37) Distribution of integers in special residue classes (11N69)

Related Items (4)

Distribution \(\bmod{p}\) of Euler's totient and the sum of proper divisors ⋮ Values of the Euler function free of \(k\)th powers ⋮ Distributional properties of the largest prime factor ⋮ CONGRUENCES AND EXPONENTIAL SUMS WITH THE SUM OF ALIQUOT DIVISORS FUNCTION

Cites Work

• On the number of prime factors of an integer
• Integers without large prime factors
• On some problems of Mąkowski–Schinzel and Erdős concerning the arithmetical functions φ and σ
• Mean Value Theorems in Prime Number Theory
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