Eigenform product identities for Hilbert modular forms

Kirti N Joshi, Yichao Zhang

Research output: Contribution to journalArticle


We prove that amongst all real quadratic fields and all spaces of Hilbert modular forms of full level and of weight 2 or greater, the product of two Hecke eigenforms is not a Hecke eigenform except for finitely many real quadratic fields and finitely many weights. We show that for Q(5) there are exactly two such identities.

Original languageEnglish (US)
JournalMathematische Zeitschrift
StateAccepted/In press - Jan 1 2018


  • Hecke eigenform
  • Hilbert modular form
  • Product identity

ASJC Scopus subject areas

  • Mathematics(all)

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