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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 due to George Spencer-Brown. By replaci…
math.NT2026
Weighted partitions with interval restrictions: exact formulas and a bivariate master identity
George E. Andrews, Mohamed El Bachraoui, Aritram Dhar +2
Let and be the signed partition functions introduced by Andrews and El Bachraoui for interval-restricted partitions whose parts greater than 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…