ON THE NUMBER OF PARTITIONS INTO PARTS WITH THE MINIMAL PART k AND THE MINIMAL DIFFERENCE d


Mircea Merca

Abstract: In this paper, the author considered two specializations of the identity q-Chu Vandermonde and derived two recurrence relations for the number of partitions of n into m parts with the smallest part greater than or equal to k and the minimal difference d.
MSC: 05E05, 11P84, 05A19
Keywords: q-series, Rogers-Ramanujan functions, integer partitions

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DOI   10.56082/annalsarscimath.2020.1-2.155

† mircea.merca@profinfo.edu.ro Academy of Romanian Scientists, Ilfov 3, Sector 5, Bucharest


PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its ApplicationVolume 12 no 1-2, 2020