5 citations · 5 across the 5 of their papers we have counts for
5 papers
Period Relations for Quaternionic Elliptic Functions
Zavosh Amir-Khosravi
We study elliptic functions in quaternionic analysis, and prove some analogues of classical theorems from the complex case. The main result is a relation between the periods of clo…
Fueter-Regular Discete Series for Sp(1,1)
Zavosh Amir-Khosravi
We show that the quaternionic discrete series on G=Sp(1,1) with minimal K-type of dimension n+1 can be realized inside the space of Fueter-regular functions on the quaternionic bal…
Theta Functions and Reciprocity Laws
Zavosh Amir-Khosravi
In the first part, we consider generalized quadratic Gauss sums as finite analogues of the Jacobi theta function, and the reciprocity law for Gauss sums as their transformation for…
Generating series of intersection volumes of special cycles on unitary Shimura varieties
Zavosh Amir-Khosravi
We form a generating series of regularized volumes of intersections of special cycles on a non-compact unitary Shimura variety with a fixed base change cycle. We show that it is a…
Serre's Tensor Construction and Moduli of Abelian Schemes
Zavosh Amir-Khosravi
Given a polarized abelian scheme with action by a ring, and a projective finitely presented module over that ring, Serre's tensor construction produces a new abelian scheme. We sho…