Research papers of Matthew Young

Growth and nonvanishing of restricted Siegel modular forms arising as Saito-Kurokawa lifts on the arxiv 28 pages, submitted.

Additive twists of Fourier coefficients of symmetric-square lifts (with Xiaoqing Li) on the arxiv 13 pages, submitted.

The prime geodesic theorem (with Soundararajan) on the arxiv 13 pages, to appear in Crelle.

The L^2 restriction norm of a GL_3 Maass form (with Xiaoqing Li) on the arxiv 42 pages,  to appear in Compositio.

A short proof of Levinson's theorem on the arxiv, accepted for publication by Archiv der Mathematik.

More than 41% of the zeros of the zeta function are on the critical line (with Hung Bui and Brian Conrey) on the arxiv, accepted for publication by Acta Arithmetica.

The second moment of quadratic twists of modular L-functions (with Soundararajan) on the arXiv, J. Eur. Math. Soc. 12 (2010), no. 5, 1097--1116.

The second moment of GL(3) \times GL(2) L-functions, integrated on the arXiv, accepted for publication by Advances in Mathematics.

The second moment of GL(3) \times GL(2) L-functions at special points on the arXiv, submitted.

The first moment of quadratic Dirichlet L-functions on the arXiv, Acta Arithmetica 138 (2009), no. 1, 73--99.

Mean values with cubic characters (with Stephan Baier) on the arXiv, J. Number Theory 130 (2010),  no. 4, 879--903.

The twisted fourth moment of the Riemann zeta function (with Chris Hughes) on the arXiv,  J. Reine Angew.  Math. 641 (2010), 203--236.

Moments of the critical values of families of elliptic curves, with applications on the arXiv, to appear in the Canadian Journal of Mathematics.

The reciprocity law for the twisted second moment of Dirichlet L-functions on the arXiv, to appear in Forum Math.

The fourth moment of Dirichlet L-functions on the arXiv,  to appear in Annals of Mathematics.

Analytic number theory and ranks of elliptic curves (appeared in The Proceedings of Random Matrix Theory and Ranks of Elliptic Curves)

On the nonvanishing of elliptic curve L-functions at the central point Proc. London Math. Soc. 93 (2006), no. 1, 1--42 on the arXiv

Low-lying zeros of families of elliptic curves J. Amer. Math. Soc. 19 (2006), no.1, 205--250 on the arXiv

Older and longer version of Low-lying zeros of families of elliptic curves (with full details of torsion families and CM families) dvi version postscript pdf

Lower order terms of the 1-level density of families of elliptic curves (Appeared in IMRN 2005, 10) on the arXiv