We derive trivariate generating functions of Andrews–Gordon type for partitions in S with both the number of parts and the number of even parts counted. In ...

Oct 25, 2021 · Abstract page for arXiv paper 2110.13247: Linked partition ideals and the Alladi--Schur theorem.

Let denote the set of integer partitions into parts that differ by at least 3, with the added constraint that no two consecutive multiples of 3 occur as parts.

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Jul 1, 2022 · We derive trivariate generating functions of Andrews–Gordon type for partitions in S with both the number of parts and the number of even parts ...

Alladi–Andrews. Theorem (Alladi [unpublished]). If we define C(n) to be the number of partitions of n into odd parts with none appearing more than twice, then.

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Let A(n) denote the number of partitions of n into parts congruent to ±1 modulo 6. Let. B(n) denote the number of partitions of n into distinct nonmultiples ...

Sep 8, 2024 · Schur's partition theorem asserts the equality S(n) = S-1(n), where S(n) is the number of partitions of n into distinct parts = 1, 2 (mod 3) and ...

Oct 22, 2024 · Schur's partition theorem states that the number of partitions ofn into distinct parts ≡ 1,2 (mod 3) is equal to the number of partitions ofn ...