Non-vanishing of the partition function modulo odd primes l

Research output: Contribution to journalArticlepeer-review

Abstract

Let p(n) be the usual partition function. Let l be an odd prime, and let r (mod t) be any arithmetic progression. If there exists an integer n≡r (mod t) such that p(n)≢0 (mod l), then, for large X, #{n≤X:n≡r (mod t), p(n)≢0 (mod l)} » √X/log X.

Original languageEnglish (US)
Pages (from-to)185-192
Number of pages8
JournalMathematika
Volume46
Issue number1
DOIs
StatePublished - 1999
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Non-vanishing of the partition function modulo odd primes l'. Together they form a unique fingerprint.

Cite this