On locally repeated values of certain arithmetic functions. II

DOI10.1007/BF01956329zbMath0609.10034OpenAlexW2002004779WikidataQ105890424 ScholiaQ105890424MaRDI QIDQ1086612

Carl B. Pomerance, András Sárközy

Publication date: 1987

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01956329

zbMATH Keywords

sieve methodEuler's functionErdős-Kac theorem

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of primes (11N05) Sieves (11N35)

Related Items (12)

Multiplicative partitions of numbers with a large squarefree divisor ⋮ Generalizing Ruth-Aaron Numbers ⋮ On the difference of the number of prime divisors of consecutive numbers ⋮ The distribution of numbers with many factorizations ⋮ On the divisor function d ( n ) ⋮ Sets of monotonicity for Euler's totient function ⋮ On the equation $\varphi (n)=\varphi (n+1)$ ⋮ On Amicable Numbers ⋮ A tale of two omegas ⋮ On integers \(n\) for which \(\sigma (2n + 1) \geq \sigma (2n)\) ⋮ On the Difference in Values of the Euler Totient Function Near Prime Arguments ⋮ DISTRIBUTION OF THE DIVISOR FUNCTION AT CONSECUTIVE INTEGERS

Cites Work

• On the integers having exactly \(k\) prime factors
• On the distribution of amicable numbers. II.
• The divisor function at consecutive integers
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