16 citations · 88 across the 64 of their papers we have counts for
5 papers · 2 filters
The mass of shifted lattices and class numbers of inhomogeneous quadratic polynomials
Kathrin Bringmann, Zilong He, Ben Kane
In this paper, we investigate class numbers of shifted quadratic lattices with and odd conductor . For a lattice…
On finiteness theorems for sums of generalized polygonal numbers
Ben Kane, Zichen Yang
In this paper, we consider mixed sums of generalized polygonal numbers. Specifically, we obtain a finiteness condition for universality of such sums; this means that it suffices to…
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…
Hecke eigenforms for meromorphic cusp forms
Kathrin Bringmann, Ben Kane, Michael H. Mertens
In this paper, we construct Hecke eigenforms for two families of quotient spaces of meromorphic cusp forms on . We show that each quotient space in the f…
Eisenstein series part of the primitive representations for even rank quadratic forms
Ben Kane, Luhao Xue
In this paper, we first investigate the relationship between the number of primitive representations of by quadratic forms and the number of non-primitive ones. We hence obtain…