ON CONGRUENCES OF THE FORM σ(n) ≡ a (mod n)

DOI10.1142/S1793042112501266zbMath1271.11004MaRDI QIDQ4904415

Aria Anavi, Paul Pollack, Carl B. Pomerance

Publication date: 29 January 2013

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

zbMATH Keywords

anatomy of integersSum of divisors function

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of integers with specified multiplicative constraints (11N25)

Related Items

DIVISOR‐SUM FIBERS ⋮ ON DEFICIENT-PERFECT NUMBERS ⋮ On perfect and near-perfect numbers ⋮ On near-perfect numbers ⋮ Some problems of Erdős on the sum-of-divisors function

Cites Work

• Unnamed Item
• On perfect and near-perfect numbers
• Integers with dense divisors. I
• Über die Häufigkeit vollkommener Zahlen
• Concerning the composition index of numbers
• Composite integers \(n\) for which \(\varphi (n)\mid n-1\)
• On Euler’s totient function