Infinite families of infinite families of congruences for k-regular partitions
Tóm tắt
Let k∈{10,15,20}, and let b
k
(n) denote the number k-regular partitions of n. We prove for half of all primes p and any t≥1 that there exist p−1 arithmetic progressions modulo p
2t
such that b
k
(n) is a multiple of 5 for each n in one of these progressions.
Tài liệu tham khảo
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