16 citations · 88 across the 64 of their papers we have counts for
8 papers · 2 filters
Generalized L-functions for meromorphic modular forms and their relation to the Riemann zeta function
Kathrin Bringmann, Ben Kane
In this paper, we construct a family of generalized -functions, one for each point in the upper half-plane. We prove that as approaches , these generalized -…
Odd moments for the trace of Frobenius and the Sato--Tate conjecture in arithmetic progressions
Kathrin Bringmann, Ben Kane, Sudhir Pujahari
In this paper, we consider the moments of the trace of Frobenius of elliptic curves if the trace is restricted to a fixed arithmetic progression. We determine the asymptotic behavi…
Conjectures of Sun about sums of polygonal numbers
Kathrin Bringmann, Ben Kane
In this paper, we show that certain sums of generalized -gonal numbers represent every positive integer if and only if they represent every positive integer up to an explicit bo…
Formulas for moments of class numbers in arithmetic progressions
Kathrin Bringmann, Ben Kane, Sudhir Pujahari
In this paper, we obtain explicit formulas for the second moments for Hurwitz class numbers with running through a fixed congruence class modulo .
Finiteness theorems for universal sums of squares of almost primes
Soumyarup Banerjee, Ben Kane
In this paper we study quadratic forms which are universal when restricted to almost prime inputs, establishing finiteness theorems akin to the Conway--Schneeberger 15 theorem.
Packing theory derived from phyllotaxis and products of linear forms 0
S. E. Graiff Zurita, B. Kane, R. Oishi-Tomiyasu
\textit{Parastichies} are spiral patterns observed in plants and numerical patterns generated using golden angle method. We generalize this method by using Markoff theory and the t…