A problem in diophantine approximation found in Ramanujan's lost notebook

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Abstract

Pages 262-265 in Ramanujan's Lost Notebook and Other Unpublished Papers are devoted to a draft of a manuscript on an unusual problem in diophantine approximation. Ramanujan finds the maximum value of a polynomial when the variable takes rational values, and he observes the maxima's periodicity. Because definitions and theorems in the manuscript are imprecise, the authors have attempted to interpret Ramanujan's ideas and provide rigorous proofs.

Original languageEnglish (US)
Pages (from-to)83-95
Number of pages13
JournalRamanujan Journal
Volume31
Issue number1-2
DOIs
StatePublished - Jun 2013

Keywords

  • Diophantine approximation
  • Greatest integer function
  • Ramanujan's lost notebook

ASJC Scopus subject areas

  • Algebra and Number Theory

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