Consecutive coincidences of Euler’s function

DOI10.1142/S1793042116500639zbMath1342.11079MaRDI QIDQ2805968

Paul Kinlaw, Jonathan Bayless

Publication date: 13 May 2016

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

zbMATH Keywords

smooth numbersEuler's functionreciprocal sumHardy-Ramanujan

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of integers with specified multiplicative constraints (11N25) Computational number theory (11Y99)

Related Items (5)

A short remark on consecutive coincidences of a certain multiplicative function ⋮ The reciprocal sum of the amicable numbers ⋮ Unnamed Item ⋮ On the equation $\varphi (n)=\varphi (n+1)$ ⋮ Sums over primitive sets with a fixed number of prime factors

Uses Software

• OEIS

Cites Work

• Some of the properties of the sequence of powers of prime numbers.
• Approximate formulas for some functions of prime numbers
• Analytic Number Theory
• On the Sum of Reciprocals of Amicable Numbers
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• Shifted primes without large prime factors
• Reciprocal Sums as a Knowledge Metric: Theory, Computation, and Perfect Numbers
• Unnamed Item
• Unnamed Item
• Unnamed Item

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