Distinguishing newforms

Sam Chow, Alex Ghitza

Research output: Contribution to journalArticle (Academic Journal)peer-review

2 Citations (Scopus)
329 Downloads (Pure)

Abstract

Let n0(N, k) be the number of initial Fourier coefficients necessary to distinguish newforms of level N and even weight k. We produce extensive data to support our conjecture that if N is a fixed squarefree positive integer and k is large then n0(N, k) is the least prime that does not divide N.
Original languageEnglish
Pages (from-to)893-908
Number of pages16
JournalInternational Journal of Number Theory
Volume11
Early online date1 Oct 2014
DOIs
Publication statusPublished - May 2015

Keywords

  • Newforms
  • Fourier coefficients

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