W. Leung

activity

20142025

most citedThe Dixmier-Moeglin equivalence for cocommutative Hopf algebras of finite Gelfand-Kirillov dimension

11 citations · 17 across the 11 of their papers we have counts for

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11 papers · 1 filter

math.NT2025

The shifted convolution problem for Fourier coefficients of Siegel modular forms of degree $2$

Wing Hong Leung, Matthew P. Young

We provide a power-saving bound for certain smoothed shifted convolution sums for Fourier coefficients of Siegel cusp forms. This result is the first nontrivial estimate for a shif…

math.NT2024

Level aspect subconvexity for $GL(2) \times GL(2)$ $L$ -functions

Keshav Aggarwal, Sumit Kumar, Chung-Hang Kwan +3

Let $f$ be a newform of prime level $p$ with any central character $χ (mod p)$ , and let $g$ be a fixed cusp form or Eisenstein series for $SL_{2} (Z)$ . We prov…

math.NT2024

Trace formula and functional equation

Chung-Hang Kwan, Wing Hong Leung

We present a "beyond-endoscopic" treatment of the functional equation for the standard $L$ -function of a holomorphic cusp form with level and nebentypus. We use Petersson's formula…

math.NT2024

Character sum, reciprocity and Voronoi formula

Chung-Hang Kwan, Wing Hong Leung

We prove a novel four-variable character sum identity which serves as a twisted, non-archimedean counterpart to Weber's integrals for Bessel functions. Using this identity and idea…

math.NT2024★ 1 cited

The second moment of the $G L_{3}$ standard $L$ -function on the critical line

Agniva Dasgupta, Wing Hong Leung, Matthew P. Young

We obtain a strong bound on the second moment of the $G L_{3}$ standard $L$ -function on the critical line. The method builds on the recent work of Aggarwal, Leung, and Munshi which tr…

math.NT2024

A GL(3) converse theorem via a "beyond endoscopy" approach

Valentin Blomer, Wing Hong Leung

We give a new proof of the converse theorem for Maass forms on $GL (3)$ using a technique that is inspired by Langlands' philosophy of "beyond endoscopy", thereby implementing…

math.NT2023

Non-Linear Additive Twists of $GL_{3}$ Hecke Eigenvalues

Ikuya Kaneko, Wing Hong Leung

We bound non-linear additive twists of $GL_{3}$ Hecke eigenvalues, improving upon the work of Kumar-Mallesham-Singh (2022). The proof employs the DFI circle method with st…

math.NT2022

Shifted Convolution Sums for $G L (3) \times G L (2)$ Averaged over weighted sets

Wing Hong Leung

Let $A (1, m)$ be the Fourier coefficients of a $S L (3, Z)$ Hecke-Maass cusp form $π_{1}$ and $λ (m)$ be those of a $S L (2, Z)$ Hecke holomorphic or Hecke-Mass cusp form $…

math.NT2022★ 5 cited

Short second moment bound and Subconvexity for GL(3) $L$ -functions

Keshav Aggarwal, Wing Hong Leung, Ritabrata Munshi

Let $π$ be a Hecke cusp form for $SL_{3} (Z)$ . We bound the second moment average of $L (s, π)$ over a short interval to obtain the subconvexity estimate $$ L(1/2+it,…

math.NT2021

Hybrid Subconvexity Bound for $L (\frac{1}{2}, Sym^{2} f \otimes ρ)$ via the Delta Method

Wing Hong Leung

Let $P$ be a prime and $k$ be an even integer. Let $f$ be a full level holomorphic cusp form of weight $k$ and $ρ$ be a primitive level $P$ holomorphic cusp form with arbitrary neb…

math.NT2021

GL(2) Weyl Bound via a multiplicative character delta method

Wing Hong Leung

We use a trivial delta method with multiplicative characters for congruence detection to prove the Weyl bound for GL(2) in $t$ -aspect for a holomorphic or Hecke-Maass cusp form of…

The shifted convolution problem for Fourier coefficients of Siegel modular forms of degree 2

Level aspect subconvexity for GL(2)×GL(2) L-functions

Trace formula and functional equation

Character sum, reciprocity and Voronoi formula

The second moment of the GL3​ standard L-function on the critical line

A GL(3) converse theorem via a "beyond endoscopy" approach

Non-Linear Additive Twists of GL3​ Hecke Eigenvalues

Shifted Convolution Sums for GL(3)×GL(2) Averaged over weighted sets

Short second moment bound and Subconvexity for GL(3) L-functions

Hybrid Subconvexity Bound for L(21​,Sym2f⊗ρ) via the Delta Method

GL(2) Weyl Bound via a multiplicative character delta method

The shifted convolution problem for Fourier coefficients of Siegel modular forms of degree $2$

Level aspect subconvexity for $GL(2) \times GL(2)$ $L$ -functions

The second moment of the $G L_{3}$ standard $L$ -function on the critical line

Non-Linear Additive Twists of $GL_{3}$ Hecke Eigenvalues

Shifted Convolution Sums for $G L (3) \times G L (2)$ Averaged over weighted sets

Short second moment bound and Subconvexity for GL(3) $L$ -functions

Hybrid Subconvexity Bound for $L (\frac{1}{2}, Sym^{2} f \otimes ρ)$ via the Delta Method