On the asymptotics of certain colored partitions

2024/12/16 by Mauth, Lukas
#11F03 #11F20 #11F30 #11F37 #FOS: Mathematics #Number Theory (math.NT) #Primary: 11P82 #Secondary: 11B57

paper · doi:10.48550/arxiv.2412.11622

Abstract

We will prove an infinite family of asymptotic formulas for the logarithm of certain two-colored partitions. An infinite sub-family of these asymptotics was posed as a conjecture by Guadalupe.

Related

• Asymptotics of various partitions
• Asymptotic formulas for general colored partition functions
• Asymptotics for k-crank of k-colored partitions
• The combinatorics of some two-color partition identities
• Colored partitions and the hooklength formula: partition statistic identities