Nipen Saikia
Abstract
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Ramanujan’s lost notebook contains several q-series identities, and some of them have theta-function representations. We give partition-theoretic interpretations of some of these identities and prove Ramanujan-type congruences for certain partition functions.
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Ramanujan’s lost notebook contains several q-series identities, and some of them have theta-function representations. We give partition-theoretic interpretations of some of these identities and prove Ramanujan-type congruences for certain partition functions.
Key concepts: Ramanujan's sum, Congruence relation, Mathematics, Partition (number theory), Ramanujan theta function, Ramanujan tau function, Series (stratigraphy), Pure mathematics