Journals / Mehmet Akif Ersoy Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2011 / Cilt: 2 - Sayı: 2
Congruences Properties of Partitions for Modulo
- Pages
- 61–73
- DOI
- —
Abstract
Atkin and Swinnerton – Dyer calculated some congruences properties of the generating function for the partitions for modulo 5, 7 and 11. They obtained the results directly for modulo 5 and 7, but for modulo 11, they gave the congruences, and proved later by using these congruences. In this paper, it is explained how the congruences given by Atkin and Swinnerton – Dyer can be calculated for modulo 11.
Özet
Atkin and Swinnerton – Dyer calculated some congruences properties of the generating function for the partitions for modulo 5, 7 and 11. They obtained the results directly for modulo 5 and 7, but for modulo 11, they gave the congruences, and proved later by using these congruences. In this paper, it is explained how the congruences given by Atkin and Swinnerton – Dyer can be calculated for modulo 11.