George E. Andrews

activity

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.NT2026

A surprising generalization of the Möbius function

George E. Andrews, Louis H. Kauffman, Divyamaan Sahoo

We introduce a broad generalization of a recursive formula for the Möbius function $μ (n) = 1 - n - \sum_{d = 2}^{n - 1} μ (d) [\frac{n}{d}]$ due to George Spencer-Brown. By replaci…

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.NT2026

Weighted partitions with interval restrictions: exact formulas and a bivariate master identity

George E. Andrews, Mohamed El Bachraoui, Aritram Dhar +2

Let $a_{2}^{''} (n)$ and $b_{2}^{''} (n)$ be the signed partition functions introduced by Andrews and El Bachraoui for interval-restricted partitions whose parts greater than $1$ are controlle…

math.NT2026

Solutions for Hecke Sum Questions of Banerjee and Bringmann

George E. Andrews, Mohamed El Bachraoui

We previously conjectured a Hecke-type identity for a series arising from two-color partitions. Banerjee and Bringmann proved the conjecture using modular methods and asked for a d…