对3正则分区数取模4的同余

Pub Date : 2023-11-10 DOI:10.5802/crmath.512

Cristina Ballantine, Mircea Merca

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引用次数: 0

摘要

在过去的十年中，我们已经看到了大量的对b_3 (n)的同余，n的n -正则分割的数量。值得注意的是，缺少对b_3 (n)模4的同余。在本文中，我们引入了对b_3 (n)模4的Ramanujan型同余，涉及一些素数p同于11、13、17、19、23模24。

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Congruences modulo 4 for the number of 3-regular partitions

The last decade has seen an abundance of congruences for b ℓ (n), the number of ℓ-regular partitions of n. Notably absent are congruences modulo 4 for b 3 (n). In this paper, we introduce Ramanujan type congruences modulo 4 for b 3 (2n) involving some primes p congruent to 11,13,17,19,23 modulo 24.

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