On the number of representations of integers by quadratic forms with congruence conditions

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Abstract

The generating functions of the number of representations of integers by quadratic forms under congruence conditions on the variables will be characterized in terms of modular forms. According to this characterization we present several formulas for the representation numbers as examples.

Original languageEnglish
Pages (from-to)999-1013
Number of pages15
JournalJournal of Mathematical Analysis and Applications
Volume462
Issue number1
DOIs
StatePublished - 1 Jun 2018

Keywords

  • Modular forms
  • Quadratic forms
  • Representation numbers

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