7 citations · 29 across the 30 of their papers we have counts for
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Theory of Bessel Functions of High Rank - II: Hankel Transforms and Fundamental Bessel Kernels
Zhi Qi
In this article we shall study the analytic theory and the representation theoretic interpretations of Hankel transforms and fundamental Bessel kernels of an arbitrary rank over an…
Character sums of composite moduli and hybrid subconvexity
Roman Holowinsky, Ritabrata Munshi, Zhi Qi
Let be the product of three distinct primes and let be a Dirichlet character of modulus such that each is a primitive character modulo $M_…
Morita's Theory for the Symplectic Groups
Zhi Qi, Chang Yang
We construct and study the holomorphic discrete series representation and the principal series representation of the symplectic group over a -adic field …
Morita's Duality for Split Reductive Groups
Zhi Qi
In this paper, we extend the work in "Morita's Theory for the Symplectic Groups" to split reductive groups. We construct and study the holomorphic discrete series representation an…
Theory of Bessel Functions of High Rank - I: Fundamental Bessel Functions
Zhi Qi
In this article we introduce a new category of special functions called fundamental Bessel functions arising from the Voronoi summation formula for . Th…
Hybrid subconvexity bounds for
Roman Holowinsky, Ritabrata Munshi, Zhi Qi
Fix an integer . Let be prime and let be an even integer. For a holomorphic cusp form of weight and full level and a primitive holomorphic cusp…