5 papers · 1 filter
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…
Replicable functions arising from code-lattice VOAs fixed by automorphisms
Lea Beneish, Jennifer Berg, Eva Goedhart +3
We ascertain properties of the algebraic structures in towers of codes, lattices, and vertex operator algebras (VOAs) by studying the associated subobjects fixed by lifts of code a…
Weierstrass points on and supersingular -invariants
Stephanie Treneer
We study the arithmetic properties of Weierstrass points on the modular curves for primes . In particular, we obtain a relationship between the Weierstrass points on…
Quantum mock modular forms arising from eta-theta functions
Amanda Folsom, Sharon Garthwaite, Soon-Yi Kang +2
In 2013, Lemke Oliver classified all eta-quotients which are theta functions. In this paper, we unify the eta-theta functions by constructing mock modular forms from the eta-theta…
Zeros of some level 2 Eisenstein series
Sharon Garthwaite, Ling Long, Holly Swisher +1
The zeros of classical Eisenstein series satisfy many intriguing properties. Work of F. Rankin and Swinnerton-Dyer pinpoints their location to a certain arc of the fundamental doma…