Journal of the Ramanujan Mathematical Society

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The Hardy-Ramanujan-Rademacher Expansion for Restricted Generalised Frobenius Partitions


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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 am,m,(n) (m'≤ m) denote th em-coloured (say r1,....,rm) generalised Frobenius partitions of n in which there are no odd parts of some m' colours say r1,....,rm, in the top row and no even parts of r1,....,rm in the bottom row. in this paper we obtain the Hardy-Ramanujan-Rademacher expansion for am,m,(n).
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  • The Hardy-Ramanujan-Rademacher Expansion for Restricted Generalised Frobenius Partitions

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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 am,m,(n) (m'≤ m) denote th em-coloured (say r1,....,rm) generalised Frobenius partitions of n in which there are no odd parts of some m' colours say r1,....,rm, in the top row and no even parts of r1,....,rm in the bottom row. in this paper we obtain the Hardy-Ramanujan-Rademacher expansion for am,m,(n).