Frank Patane

activity

20132015

collaborators

Showing 2014 · math.NTShow all

2 papers · 2 filters

math.NT2014

An identity connecting theta series associated with binary quadratic forms of discriminant $Δ$ and $Δ ($ prime $)^{2}$

Frank Patane

We state and prove an identity which connects theta series associated with binary quadratic forms of idoneal discriminants $Δ$ and $Δ p^{2}$ , for $p$ a prime. Employing this identity,…

math.NT2014

Essentially Unique Representations by Certain Ternary Quadratic Forms

Alexander Berkovich, Frank Patane

In this paper we generalize the idea of "essentially unique" representations by ternary quadratic forms. We employ the Siegel formula, along with the complete classification of ima…

An identity connecting theta series associated with binary quadratic forms of discriminant Δ and Δ(prime)2

Essentially Unique Representations by Certain Ternary Quadratic Forms

An identity connecting theta series associated with binary quadratic forms of discriminant $Δ$ and $Δ ($ prime $)^{2}$