Abstract
The case k = a of the 1974 conjecture of Andrews on two partition functions A λ,k,a (n) and B λ,k,a (n) was proved by the first author and T.G. Sudha [On a conjecture of Andrews, Internat.J. Math. and Math. Sci. Vol. 16, No. 4 (1993), 763–774].In this paper we prove the two cases of k = a + 1 and k = a + 2 of the same conjecture.
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References
G.E. Andrews, On the General Rogers-Ramanujan Theorem, Mem. Amer. Math. Soc. No. 152, 1–86, 1974.
Padmavathamma and T.G. Sudha, On a Conjecture of Andrews, Internat. J. Math and Math. Sci. Vol. 16, No. 4, 763–774, 1993.
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© 2002 Springer Basel AG
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Padmavathamma, Salestina, M.R. (2002). On a Conjecture of Andrews-II. In: Agarwal, A.K., Berndt, B.C., Krattenthaler, C.F., Mullen, G.L., Ramachandra, K., Waldschmidt, M. (eds) Number Theory and Discrete Mathematics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8223-1_13
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DOI: https://doi.org/10.1007/978-3-0348-8223-1_13
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9481-4
Online ISBN: 978-3-0348-8223-1
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