7 citations · 29 across the 30 of their papers we have counts for
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Theory of Fundamental Bessel Functions of High Rank
Zhi Qi
In this article, we shall study fundamental Bessel functions for arising from the Voronoï summation formula for any rank and field $\mathbb{F} = \ma…
Cancellation in the Additive Twists of Fourier Coefficients for and over Number Fields
Zhi Qi
In this article, we study the sum of additively twisted Fourier coefficients of an irreducible cuspidal automorphic representation of or over an arb…
On the Fourier Transform of Bessel Functions over Complex Numbers---II: the General Case
Zhi Qi
In this paper, we prove an exponential integral formula for the Fourier transform of Bessel functions over complex numbers, along with a radial exponential integral formula. The fo…
On the Fourier Transform of Bessel Functions over Complex Numbers---I: the Spherical Case
Zhi Qi
In this note, we shall prove a formula for the Fourier transform of spherical Bessel functions over complex numbers, viewed as the complex analogue of the classical formulae of Har…
On the Kuznetsov Trace Formula for
Zhi Qi
In this note, using a representation theoretic method of Cogdell and Piatetski-Shapiro, we prove the Kuznetsov trace formula for an arbitrary discrete group in $\mathrm{PGL}_2(…