A refinement of a result of Andrews and Newman on the sum of minimal excludants

In this article, we refine a result of Andrews and Newman, that is, the sum of minimal excludants over all the partitions of a number n equals the number of partitions of n into distinct parts with two colors. As a consequence, we find congruences modulo 4 and 8 for the functions appearing in this r...

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Veröffentlicht in:	The Ramanujan journal 2023-12, Vol.62 (4), p.1045-1067
Hauptverfasser:	Baruah, Nayandeep Deka, Bhoria, Subhash Chand, Eyyunni, Pramod, Maji, Bibekananda
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Congruences Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Number Theory Sums
Online-Zugang:	Volltext
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