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

  • Unique Paper ID: 157484
  • Volume: 9
  • Issue: 7
  • PageNo: 287-296
  • Abstract:
  • In this paper we obtain the Hardy – Ramanujan – Rademacher series for ck,h(n) on the lines of L.W.Kolitsch. The existence of such series for c1,k(n) ck,1(n)and was asked for by Andrews and later obtained by Kolitsch. Finally we extend the results on q-binomial coefficients and q-series representation of Andrews to our function ck,h(n). Andrews has established the two congruences c1-2(5n + 3) C2-1 (5n + 3) O (mod 5). We whow that the analogous congruence c2,2(5n + 3) O (mod 5) is false for n = 2. We also study generalised Frobenius partitions with some restriction on its parts.
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Cite This Article

  • ISSN: 2349-6002
  • Volume: 9
  • Issue: 7
  • PageNo: 287-296

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

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