George E. Andrews

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20242026

most citedCongruences for two-color partitions with odd smallest part

1 citations · 1 across the 11 of their papers we have counts for

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math.NT2024

Legendre theorems for certain overpartitions and overpartition pairs

George E. Andrews, Mohamed El Bachraoui

Motivated by two Legendre-type formulas for overpartitions, we derive a variety of their companions as Legendre theorems for overpartition pairs. This leads to equalities of subcla…

math.CO2024

Identities involving partitions with distinct even parts and $4$ -regular partitions

George E. Andrews, Mohamed El Bachraoui

It is well known that the number of partitions into distinct even parts equals the number of $4$ -regular partitions. In this paper we prove identities relating certain restricted p…

math.NT2024★ 1 cited

Congruences for two-color partitions with odd smallest part

George E. Andrews, Mohamed El Bachraoui

For a fixed positive integer $k$ , let $C (k, n)$ denote the number of two-color partitions of $n$ with odd smallest part and restrictions on even parts, and let $C_{k} (q)$ be its gener…

Legendre theorems for certain overpartitions and overpartition pairs

Identities involving partitions with distinct even parts and 4-regular partitions

Congruences for two-color partitions with odd smallest part

Identities involving partitions with distinct even parts and $4$ -regular partitions