3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.NT2011★ 2 cited
On representation of an integer as the sum of three squares and the ternary quadratic forms with the discriminants p^2, 16p^2
Alexander Berkovich, Will Jagy
Let s(n) be the number of representations of n as the sum of three squares. We prove a remarkable new identity for s(p^2n)- ps(n) with p being an odd prime. This identity makes non…
math.NT2010★ 3 cited
A proof of the S-genus identities for ternary quadratic forms
Alexander Berkovich, Jonathan Hanke, William Jagy
In this paper we prove the main conjectures of Berkovich and Jagy about weighted averages of representation numbers over an S-genus of ternary lattices (defined below) for any odd…
math.NT2009
Ternary Quadratic Forms, Modular Equations and Certain Positivity Conjectures
Alexander Berkovich, William Jagy
We show that many of Ramanujan's modular equations of degree 3 can be interpreted in terms of integral ternary quadratic forms. This way we establish that for any n in N |{n= x(x+1…