On algebraic values of function exp (2πi x+loglogy)

Research output: Contribution to journalArticlepeer-review

Abstract

It is proved that, for all but a finite set of the square-free integers, d the value of transcendental function exp (2πi x+loglogy) is an algebraic number for the algebraic arguments x and y lying in a real quadratic field of discriminant, d. Such a value generates the Hilbert class field of the imaginary quadratic field of discriminant, −d .
Original languageEnglish (US)
Pages (from-to)417-425
Number of pages9
JournalRamanujan Journal
Volume47
Issue number2
DOIs
StatePublished - Nov 2018

Keywords

  • Noncommutative tori
  • Real multiplication
  • Sklyanin algebra

ASJC Scopus subject areas

  • Algebra and Number Theory

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