62 research outputs found
Arithmetic Properties of Partition Quadruples With Odd Parts Distinct
Let denote the number of partition quadruples of
where the odd parts in each partition are distinct. We find many arithmetic
properties of involving the following infinite family of
congruences: for any integers and ,
We also establish some internal congruences
and some congruences modulo 2, 5 and 8 satisfied by .Comment: 10 page
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