New congruences modulo 5 for the number of 2-color partitions
نویسندگان
چکیده
منابع مشابه
New Infinite Families of Congruences Modulo 8 for Partitions with Even Parts Distinct
Let ped(n) denote the number of partitions of an integer n wherein even parts are distinct. Recently, Andrews, Hirschhorn and Sellers, Chen, and Cui and Gu have derived a number of interesting congruences modulo 2, 3 and 4 for ped(n). In this paper we prove several new infinite families of congruences modulo 8 for ped(n). For example, we prove that for α > 0 and n > 0, ped ( 3n+ 11× 34α+3 − 1 8...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2015
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2015.05.002