7 citations · 10 across the 5 of their papers we have counts for
6 papers · 1 filter
l-adic properties of partition functions
Eva Belmont, Holden Lee, Alexandra Musat +1
Folsom, Kent, and Ono used the theory of modular forms modulo to establish remarkable ``self-similarity'' properties of the partition function and give an overarching explan…
The 1729 K3 Surface
Ken Ono, Sarah Trebat-Leder
We revisit the mathematics that Ramanujan developed in connection with the famous "taxi-cab" number . A study of his writings reveals that he had been studying Euler's diopha…
On p-adic modular forms and the Bloch-Okounkov theorem
Michael Griffin, Marie Jameson, Sarah Trebat-Leder
Bloch-Okounkov studied certain functions on partitions called shifted symmetric polynomials. They showed that certain -series arising from these functions (the so-called \em…
Elliptic Curves with Everywhere Good Reduction
Amanda Clemm, Sarah Trebat-Leder
We consider the question of which quadratic fields have elliptic curves with everywhere good reduction. By revisiting work of Setzer, we expand on congruence conditions that determ…
Classical and Umbral Moonshine: Connections and -adic Properties
Ken Ono, Larry Rolen, Sarah Trebat-Leder
The classical theory of monstrous moonshine describes the unexpected connection between the representation theory of the monster group , the largest of the simple sporadic group…
Elliptic Curves with Full 2-Torsion and Maximal Adelic Galois Representations
David Corwin, Tony Feng, Zane Kun Li +1
In 1972, Serre showed that the adelic Galois representation associated to a non-CM elliptic curve over a number field has open image in GL_2(\hat{Z}). In Greicius' thesis, he devel…