Matthew P. Young

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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.NT2025

The image of the generalized Dedekind sum

Evelyne S. Knight, Carlos Alexov Matos, Amira Sefidi +1

The newform Dedekind sum $S_{χ_{1}, χ_{2}}$ associated to a pair of primitive Dirichlet characters $χ_{1}$ , $χ_{2}$ of respective conductors $q_{1}$ , $q_{2}$ , is a group homomorphism from $Γ_1…

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

Large Values of Newform Dedekind Sums

Georgia Corbett, Matthew P. Young

We study a generalized Dedekind sum $S_{χ_{1}, χ_{2}} (a, c)$ attached to newform Eisenstein series $E_{χ_{1}, χ_{2}} (z, s)$ . Our work shows the Dedekind sum is rarely substantially larger than…

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

The image of the generalized Dedekind sum

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

Large Values of Newform Dedekind Sums

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