3 papers
math.AP2026
Rigorous Derivation of the Wave Kinetic Equation for full -FPUT System
Katja Vassilev, Boyang Wu
The Fermi--Pasta--Ulam--Tsingou (FPUT) system, describing the evolution of coupled harmonic oscillators, has been the subject of much attention since the 1950's when experiment…
math.NT2018
Lacunarity of Han-Nekrasov-Okounkov -series
Katherine Gallagher, Lucia Li, Katja Vassilev
A power series is called lacunary if `almost all' of its coefficients are zero. Integer partitions have motivated the classification of lacunary specializations of Han's extension…
math.NT2018
Generating functions for power moments of elliptic curves over
Katherine Gallagher, Lucia Li, Naomi Sweeting +2
Seminal works by Birch and Ihara gave formulas for the th power moments of the traces of Frobenius endomorphisms of elliptic curves over for primes .…