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Titlebook: Number Theory and Discrete Mathematics; A. K. Agarwal,Bruce C. Berndt,Michel Waldschmidt Book 2002 Hindustan Book Agency (India) 2002

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,Rogers-Ramanujan Type Identities for Burge’s Restricted Partition Pairs Via Restricted Frobenius Pao establish a connection between three particular cases of these restricted Frobenius partition functions and Burge’s restricted partition pairs (J. Combin. Theory Ser. A, 63, 1993, 210–222). This connection and Burge’s Theorem 1 give us three new analytic identities. A comparison of these analytic
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A Note on Cordial Labelings of Multiple Shells,he number of vertices . with .(.) = 0 and .(.) = 1 respectively. Let .(0), .(1) be similarly defined. A graph is said to be . if there exists a vertex labeling . such that |.(0) − .(1)| ≤ 1 and |.(0) − .(1)| ≤ 1. In this paper, we show that every multiple shell . is cordial for all positive integers
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