• Title of article

    Partition function congruences: Some flowers and seeds from ‘Ramanujanʹs garden’

  • Author/Authors

    Sukumar Das Adhikari، نويسنده , , Anirban Mukhopadhyay ، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    19
  • From page
    193
  • To page
    211
  • Abstract
    The discovery of some partition function congruences by Ramanujan, and subsequent research motivated by these congruences as well as some of his questions and conjectures, have brought forth a beautiful bower in ‘Ramanujanʹs Garden’. In this short expository article, starting from Ramanujanʹs pioneering work in this area, we have some glimpses of contributions of many of the later researchers like Atkin, Watson, Newman, Winquist, Zuckerman, Dyson, Andrews, Garvan, Schinzel, Wirsing, Nicolas, Ruzsa, Sárközy, Serre, Berndt and Ono. While we dwell mainly on the question of parity of p(n) and related topics, we try to mention other important achievements in the area.
  • Journal title
    Expositiones Mathematicae
  • Serial Year
    2001
  • Journal title
    Expositiones Mathematicae
  • Record number

    703249