Jayce R. Getz

activity

20132026

most citedSecondary terms in asymptotics for the number of zeros of quadratic forms over number fields

13 citations · 27 across the 19 of their papers we have counts for

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Showing 2014 · math.NTShow all

3 papers · 2 filters

math.NT2014★ 2 cited

Invariant four-variable automorphic kernel functions

Jayce R. Getz

Let $F$ be a number field, let $A_{F}$ be its ring of adeles, and let $g_{1}, g_{2}, h_{1}, h_{2} \in GL_{2} (A_{F})$ . Previously the author provided an absolutely converg…

math.NT2014

A summation formula for the Rankin-Selberg monoid and a nonabelian trace formula

Jayce R. Getz

Let $F$ be a number field and let $A_{F}$ be its ring of adeles. Let $B$ be a quaternion algebra over $F$ and let $ν : B \to F$ be the reduced norm. Consider the reductive mon…

math.NT2014★ 2 cited

A general simple relative trace formula and a relative Weyl law

Jayce R. Getz, Heekyoung Hahn

In this paper, we prove a general simple relative trace formula. As an application, we prove a relative analogue of the Weyl law.