Two truncated identities of Gauss
نویسندگان
چکیده
Two new expansions for partial sums of Gauss’ triangular and square numbers series are given. As a consequence, we derive a family of inequalities for the overpartition function p(n) and for the partition function pod(n) counting the partitions of n with distinct odd parts. Some further inequalities for variations of partition function are proposed as conjectures.
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عنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 120 شماره
صفحات -
تاریخ انتشار 2013