3 citations · 3 across the 6 of their papers we have counts for
7 papers
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…
Toward a Canonical Representation of Blocked Rectangular Grids with an Application to Finite Tiling Problems
Noah Jensen, Stephanie Treneer
Given the collection of all rectangular grids which have a fixed number of blocked cells, we explicitly describe a proper subset of the collection whic…
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…
Congruences satisfied by eta-quotients
Nathan C. Ryan, Zachary Scherr, Nicolás Sirolli +1
The values of the partition function, and more generally the Fourier coefficients of many modular forms, are known to satisfy certain congruences. Results given by Ahlgren and Ono…
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…