2 citations · 3 across the 5 of their papers we have counts for
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Triple product -functions and the Ramanujan conjecture
Jayce R. Getz, Heekyoung Hahn, HaoYun Yao
We prove that the Ramanujan conjecture is true under the assumption that the expected analytic properties of triple product -functions hold. Further, we explain how these analyt…
On triple product -functions and the fiber bundle method
Jayce R. Getz, Miao Pam Gu, Chun-Hsien Hsu +1
We introduce multi-variable zeta integrals which unfold to Euler products representing the triple product -function times a product of -functions with known analytic properti…
An approach to nonsolvable base change and descent
Jayce R. Getz
We present a collection of conjectural trace identities and explain why they are equivalent to base change and descent of automorphic representations of $\mathrm{GL}_n(\mathbb{A}_F…
Twisted relative trace formulae with a view towards unitary groups
Jayce R. Getz, Eric Wambach
We introduce a twisted relative trace formula which simultaneously generalizes the twisted trace formula of Langlands et.al. (in the quadratic case) and the relative trace formula…
Invariant four-variable automorphic kernel functions
Jayce R. Getz
Let be a number field, let be its ring of adeles, and let . Previously the author provided an absolutely converg…