Journal of the Ramanujan Mathematical Society

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The Hardy-Ramanujan-Rademacher Expansion for CΦm,m ,(n)


Affiliations
1 Department of Post-Graduate Studies and Research in Mathematics, University of Mysore, Manasagangotri, Mysore-570 006, India
     

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Let n be a positive integer and let cΦm,m,(n) denote the partition function which enumerates the generalised Frobenius partitions of n into parts with m colours and m' repetitions. In this paper we obtain the Hardy- Ramanujan-Rademacher expansion for cΦm,m,(n). This is a sequel to a recent work of L.W.Kolitsch[4] concerning the expansion for cΦ1,m,(n) and cΦm,1,(n).

Keywords

Generalised Frobenius Partitions, Hardy-Ramanujan-Rademacher Series.
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  • The Hardy-Ramanujan-Rademacher Expansion for CΦm,m ,(n)

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Authors

Padmavathamma
Department of Post-Graduate Studies and Research in Mathematics, University of Mysore, Manasagangotri, Mysore-570 006, India

Abstract


Let n be a positive integer and let cΦm,m,(n) denote the partition function which enumerates the generalised Frobenius partitions of n into parts with m colours and m' repetitions. In this paper we obtain the Hardy- Ramanujan-Rademacher expansion for cΦm,m,(n). This is a sequel to a recent work of L.W.Kolitsch[4] concerning the expansion for cΦ1,m,(n) and cΦm,1,(n).

Keywords


Generalised Frobenius Partitions, Hardy-Ramanujan-Rademacher Series.