3 papers
math.NT2018
On the zeros of a class of modular functions
Naomi Sweeting, Katharine Woo
We generalize a number of works on the zeros of certain level 1 modular forms to a class of weakly holomorphic modular functions whose -expansions satisfy \[ f_k(A, τ) \colon =…
math.NT2018
Formulas for Chebotarev densities of Galois extensions of number fields
Naomi Sweeting, Katharine Woo
We generalize the Chebotarev density formulas of Dawsey (2017) and Alladi (1977) to the setting of arbitrary finite Galois extensions of number fields . In particular, if $C \…
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 .…