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math.NT2018★ 3 cited
Central -values of elliptic curves and local polynomials
Stephan Ehlen, Pavel Guerzhoy, Ben Kane +1
Here we study the recently introduced notion of a locally harmonic Maass form and its applications to the theory of -functions. In particular, we find finite formulas for certai…
math.NT2018
Universal sums of -gonal numbers
Ben Kane, Jingbo Liu
In this paper we study universal quadratic polynomials which arise as sums of polygonal numbers. Specifically, we determine an asymptotic upper bound (as a function of ) on the…