George E. Andrews

activity

20242026

collaborators

Showing math.COShow all

3 papers · 1 filter

math.CO2026

On a two-color partition series and its companions

George E. Andrews, Mohamed El Bachraoui

We study the two-color distinct-part series $S_1(q)$, equivalently Andrews' generating function $v_d(q)$ for strictly concave compositions, and its odd and even companions \(T_…

math.CO2025

On a formula of the $q$ -series $_{2 k + 4} I ¨ _{2 k + 3}$ and its applications

George E. Andrews, Mohamed El Bachraoui

In this paper we apply a formula of the very-well poised $_{2 k + 4} I ¨ _{2 k + 3}$ to write a $k$ -tuple sum of $q$ -series as a linear combination of terms wherein each term is a product o…

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…

On a two-color partition series and its companions

On a formula of the q-series 2k+4​I¨2k+3​ and its applications

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

On a formula of the $q$ -series $_{2 k + 4} I ¨ _{2 k + 3}$ and its applications

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