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math.NT2023
Generalized -functions related to the Riemann zeta function
Kathrin Bringmann, Ben Kane, Srimathi Varadharajan
In this paper, we construct generalized -functions associated to meromorphic modular forms of weight for the theta group with a single simple pole in the fundamental d…
math.NT2022★ 1 cited
Explicit Class number formulas for Siegel--Weil averages of ternary quadratic forms
Ben Kane, Daejun Kim, Srimathi Varadharajan
In this paper, we investigate the interplay between positive-definite integral ternary quadratic forms and class numbers. We generalize a result of Jones relating the theta functio…