Cao, Liping creator Lin, Bernard L. S. text New Delhi :Indian National Science Academy | Springer ,2023 monographic eng

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1081-1098p. Abstract: Let and be the set of integers and the set of positive integers, respectively. For and, let N(a, b, c; n) be the number of representations of n as and t(a, b, c; n) be the number of representations of n as.Recently, Sun established many relations between t(a, b, c; n) and and listed 43 relations need to be confirmed. More recently, Xia and Zhang proved 19 relations conjectured by Sun. In this paper, by employing Ramanujan’s theta function identities, we prove the remaining 24 relations. ***______{For Hard Copy, Please visit Library.}________*** Ramanujan’s theta function identities| Sum of squares| Sum of triangular numbers 0019-5588 https://doi.org/10.1007/s13226-022-00324-8 https://doi.org/10.1007/s13226-022-00324-8 240205 20240205120809.0