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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Showing 2023Show all

4 papers · 1 filter

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.RT2023★ 2 cited

On a refined local converse theorem for SO(4)

Pan Yan, Qing Zhang

Recently, Hazeltine-Liu, and independently Haan-Kim-Kwon, proved a local converse theorem for $SO_{2 n} (F)$ over a $p$ -adic field $F$ , which says that, up to an outer autom…

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

On a refined local converse theorem for SO(4)

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