Sets of monotonicity for Euler's totient function

DOI10.1007/s11139-012-9386-6zbMath1348.11003OpenAlexW2046042342MaRDI QIDQ1955556

Enrique Treviño, Paul Pollack, Carl B. Pomerance

Publication date: 14 June 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9386-6

zbMATH Keywords

Euler functionmonotone subsequencelocally repeated values

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (2)

Unnamed Item ⋮ On the equations ϕ(n) = ϕ(n + k) and ϕ(p − 1) = ϕ(q − 1)

Cites Work

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• On equations in S-units and the Thue-Mahler equation
• On locally repeated values of certain arithmetic functions. II
• The distribution of totients
• An asymptotic formula for the number of smooth values of a polynomial
• The Difference Between Consecutive Primes, II
• Long gaps between deficient numbers
• Some remark on Euler's φ function
• Popular values of Euler's function
• Shifted primes without large prime factors
• The distribution of totients

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