Solutions of the congruence 1+2f(n)+⋯+nf(n)≡0 mod n

DOI10.1002/mana.201500057zbMath1415.11007OpenAlexW2159277594MaRDI QIDQ2808128

Pieter Moree, José María Grau, Antonio M. Oller-Marcén

Publication date: 26 May 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500057

zbMATH Keywords

asymptotic densitydivisibilitycongruencepower sumsGiuga numbers

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Elementary number theory (11A99) Sequences and sets (11B99)

Related Items (4)

Power sums over finite commutative unital rings ⋮ On \(\mu\)-Sondow numbers ⋮ Computing solutions to the congruence \(1^n + 2^n + \ldots + n^n \equiv p \pmod n\) ⋮ On power sums of matrices over a finite commutative ring

Cites Work

• Unnamed Item
• On a variant of Giuga numbers
• Moser's mathemagical work on the equation \(1^k+2^k+\ldots+(m-1)^k=m^k\)
• Das asymptotische Verhalten von Summen über multiplikative Funktionen
• Proofs of Power Sum and Binomial Coefficient Congruences Via Pascal’s Identity
• A Top Hat for Moser’s Four Mathemagical Rabbits
• Chebyshev’s bias for composite numbers with restricted prime divisors
• Diophantine equations of Erdös-Moser type
• Giuga's Conjecture on Primality
• A Note on Giuga's Conjecture
• Shorter Notes: On Some Products Involving Primes
• The Staudt-Clausen Theorem

This page was built for publication: Solutions of the congruence 1+2f(n)+⋯+nf(n)≡0 mod n