2 papers
math.GR2026
Modular Functions and the Monstrous Exponents
John F. R. Duncan, Holly Swisher
We present a modular function-based approach to explaining, for primes larger than 3, the exponents that appear in the prime decomposition of the order of the monster finite simple…
math.NT2026
Repellent properties of perfect powers on partition functions: a heuristic approach
Summer Haag, Praneel Samanta, Swati +3
In 2013, Sun conjectured that the partition function is never a perfect power for . Building on this, Merca, Ono, and Tsai recently observed that for any fixed int…