Pan Yan

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20212026

most citedGeneralizations of the Erdős-Kac Theorem and the Prime Number Theorem

3 citations · 5 across the 7 of their papers we have counts for

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math.NT2026

Twisted automorphic descent to odd GSpin groups and applications

Pan Yan

We establish twisted automorphic descent from $(GL_{2 n}, GSpin_{2}^{δ})$ , where $GSpin_{2}^{δ}$ is anisotropic, to the odd $GSpin$ group $\mathrm{GSpin}…

math.NT2023★ 3 cited

Generalizations of the Erdős-Kac Theorem and the Prime Number Theorem

Biao Wang, Zhining Wei, Pan Yan +1

In this paper, we study the linear independence between the distribution of the number of prime factors of integers and that of the largest prime factors of integers. Respectively,…

math.NT2023

A note on a Hecke type integral for $Sp (2 n) \times GL (1)$

Pan Yan

Let $π$ be an irreducible cuspidal automorphic generic representation of $Sp_{2 n} (A)$ and let $χ : F^{\times} \ A^{\times} \to C^{\times}$ be a u…

math.NT2023

$L$ -functions for $Sp (2 n) \times GL (k)$ via non-unique models

Yubo Jin, Pan Yan

Let $n$ and $k$ be positive integers such that $n$ is even. We derive new global integrals for $Sp_{2 n} \times GL_{k}$ from the generalized doubling method of Cai, Fr…

math.NT2022

The unramified computation of a Shimura integral for $SL (2) \times GL (2)$

Pan Yan

In this note, we revisit the Rankin-Selberg integral of Shimura type for generic representations of $SL_{2} \times GL_{2}$ , constructed by Ginzburg, Rallis, and Soudry…

math.NT2021

$L$ -function for $Sp (4) \times GL (2)$ via a non-unique model

Pan Yan

In this paper we prove a conjecture of Ginzburg and Soudry on an integral representation for the $L$ -function $L^{S} (s, π \times τ)$ attached to a pair $(π, τ)$ of irreducible automor…

Twisted automorphic descent to odd GSpin groups and applications

Generalizations of the Erdős-Kac Theorem and the Prime Number Theorem

A note on a Hecke type integral for Sp(2n)×GL(1)

L-functions for Sp(2n)×GL(k) via non-unique models

The unramified computation of a Shimura integral for SL(2)×GL(2)

L-function for Sp(4)×GL(2) via a non-unique model

A note on a Hecke type integral for $Sp (2 n) \times GL (1)$

$L$ -functions for $Sp (2 n) \times GL (k)$ via non-unique models

The unramified computation of a Shimura integral for $SL (2) \times GL (2)$

$L$ -function for $Sp (4) \times GL (2)$ via a non-unique model