Research papers of Matthew Young
A link to my papers on mathscinet is available here
My papers can also be found on Google Scholar.
My papers on the arxiv can be found here
55.
The cubic moment of L-functions for specified local component families (with Yueke Hu and Ian Petrow), 54 pages, arxiv
54.
Level aspect subconvexity for GL_2 x GL_2 L-functions
(with Keshav Aggarwal, Sumit Kumar, Chung-Hang Kwan, Wing Hong Leung, and Junxian Li), 27 pages, arxiv,
submitted
53.
A generalized PGL(2) Petersson/Bruggeman/Kuznetsov formula for analytic
applications (with Yueke Hu and Ian Petrow), 107
pages, arxiv,
submitted
52.
The second moment of the GL_3 standard L-function on the critical line (with
Agniva Dasgupta and Wing Hong Leung), 32 pages arxiv,
submitted
51.
Large values of newform Dedekind sums (with Georgia Corbett), 9 pages arxiv
50.
Asymptotic second moment of Dirichlet L-functions along a thin coset (with
Bradford Garcia), 18 pages arxiv, Forum of Mathematics, Sigma. 2025;13:e83.
doi:10.1017/fms.2025.44
49.
Vanishing of quartic and sextic twists of elliptic
curve L-functions (with Jennifer Berg and Nathan Ryan), arxiv,
Res. Number Theory 10 (2024), no. 1, Paper No. 20, 25pp.
48.
The large sieve for self-dual Eisenstein series of varying levels, 40 pages arxiv,
Acta Arithmetica 214 (2024), 39-88.
47.
On the spectral large sieve inequality for symmetric-squares , 16 pages arxiv,
Forum Math. 35 (2023), no. 5, 1221–1236.
46.
Reciprocity and the kernel of Dedekind sums (with Alexis LaBelle and Emily Van Bergeyk), arxiv, Res. Number Theory 9 (2023), no. 4, Paper No.
80, 10pp.
45.
An improved spectral large sieve inequality for SL_3(Z), 11 pages arxiv,
Acta Arith. 204 (2022), no. 2, 151-164.
44.
Moments and hybrid subconvexity for symmetric-square
L-functions (with Rizwan Khan), 33 pages arxiv, J.
Inst. Math. Jussieu 22 (2023), no. 5, 2029–2073.
43.
The kernel of newform Dedekind sums (with Evuilynn
Nguyen and Juan Ramirez), 8 pages, arxiv, J. Number Theory 223 (2021), 53-63.
42.
Quantum unique ergodicity for Eisenstein series in the level aspect (with Jiakun Pan), 34 pages arxiv,
Comm. Math. Phys. 385 (2021), no. 1, 227-266.
41.
The fourth moment of Dirichlet L-functions along a coset
and the Weyl bound (with Ian Petrow), 54 pages arxiv,
Duke Math. J. 172 (2023), no. 10, 1879-1960.
40.
Dedekind sums arising from newform Eisenstein series (with Tristie
Stucker and Amy Vennos), 9 pages arxiv,
Int. J. Number Theory 16 (2020), no. 10, 2129-2139.
39. The Weyl bound for
Dirichlet L-functions of cube-free
conductor (with Ian Petrow), 37 pages arxiv, Ann. of Math. (2) 192 (2020), no.2, 437-486.
31'.
Equidistribution of Eisenstein series on geodesic
segments, 38 pages arxiv, Adv. Math. 340 (2018)
1166-1218.
38.
Explicit calculations with Eisenstein series, 36 pages, arxiv, J.
Number Theory 199 (2019) 1-48.
37.
Oscillatory integrals with uniformity in parameters (with Eren Mehmet Kiral and
Ian Petrow), 12 pages, arxiv, J. Theor. Nombres
Bordeaux 31 (2019), no. 1, 145-159.
36.
Kloosterman sums and Fourier coefficients of Eisenstein series (with Eren
Mehmet Kiral), 15 pages, arxiv, Ramanujan J. 49 (2019), no. 2, 391-409.
35.
The fifth moment of modular L-functions (with Eren Mehmet Kiral), 65 pages, arxiv, J.
Eur. Math. Soc. (JEMS) 23 (2021), no. 1, 237-314.
34.
A generalized cubic moment and the Petersson formula for newforms (with Ian
Petrow), 53 pages, arxiv, Math. Ann. 373 (2019), no.1-2, 287-353.
33.
Sign changes of the Eisenstein series on the critical line (with Junehyuk Jung), 19 pages, arxiv,
Int. Math. Res. Not. 2019, no. 3, 641-672.
32.
Zeros of certain combinations of Eisenstein series (with Sarah Reitzes and
Polina Vulakh), 29 pages, arxiv, Mathematika 63 (2017), no.2, 666-695.
31.
The L^2 restriction of the Eisenstein series to a geodesic segment, 39 pages, arxiv,
subsumed by #31' = arxiv
30.
Bilinear forms with GL_3 Kloosterman sums and the spectral large sieve, 29
pages, arxiv,
Int. Math. Res. Not. 2016, no. 21, 6453–6492.
29.
A note on the sup norm of Eisenstein series, 8 pages, arxiv,
Quarterly Journal of Mathematics 69 (2018), no.4, 1151-1161.
28.
The distribution of central values of elliptic curve L-functions (with Dustin
Hinkel), J. Number Theory 156 (2015), 15-20.
27.
The number of solutions to Mordell's equations in constrained ranges, arxiv, Mathematika 61 (2015), no. 3, 708-718.
26.
Weyl-type hybrid subconvexity bounds for twisted
$L$-functions and Heegner points on shrinking sets, J. Eur. Math. Soc. 17
(2017), no.5 1545-1576, arxiv
25.
Rankin-Selberg $L$--functions and the reduction of CM elliptic curves (with
Sheng-Chi Liu and Riad Masri), abstract
final version Res. Math. Sci. 2
(2015), Art. 22, 23 pp.
24.
Zeros of the weight two Eisenstein series (with Rachael Wood), 12 pages, arxiv, J.
Number Theory 143 (2014), 320-333.
23.
The quantum unique ergodicity conjecture for thin sets, 53 pages, arxiv Adv.
Math. 286 (2016), 958-1016.
22.
The L^2 restriction norm of a Maass form on SL_{n+1}(Z) (with Xiaoqing Li and
Sheng-Chi Liu), 30 pages, arxiv Math. Ann. 371 (2018), no.3-4, 1301-1335.
21.
Subconvexity and equidistribution
of Heegner points in the level aspect (with Sheng-Chi Liu and Riad Masri) arxiv 24
pages, Compos. Math. 149 (2013), no. 7, 1150-1174. List of corrections
20.
The third moment of quadratic Dirichlet L-functions arxiv 27
pages, Selecta Math. (N.S.) 19 (2013), no. 2, 509-543. List of corrections
19.
Mass distribution of holomorphic cusp forms (with Valentin Blomer and Rizwan
Khan) arxiv
21 pages, Duke Math. J. 162 (2013), no. 14, 2609-2644.
18.
Growth and nonvanishing of restricted Siegel modular forms arising as
Saito-Kurokawa lifts (with Sheng-Chi Liu) arxiv 28
pages, American Journal of Math 136 (2014), no. 4, 165-201.
17.
Additive twists of Fourier coefficients of symmetric-square lifts (with
Xiaoqing Li) arxiv
J. Number Theory 132 (2012), no. 7, 1626-1640.
16.
The prime geodesic theorem (with Soundararajan) arxiv
J. Reine Angew. Math. 676 (2013), 105-120. Corrections
15.
The L^2 restriction norm of a GL_3 Maass form (with Xiaoqing Li) arxiv
Compos. Math. 148 (2012), no. 3, 675-717. Correction
14.
A short proof of Levinson's theorem arxiv, Arch. Math. (Basel) 95 (2010) no. 6,
539-548.
13.
More than 41% of the zeros of the zeta function are on the critical line (with
Hung Bui and Brian Conrey) arxiv, Acta Arith. 150
(2011), no.1, 35–64.
12.
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.
11.
The second moment of GL(3) \times GL(2) L-functions, integrated on the arXiv,
Adv. Math. 226 (2011), no. 4, 3550–3578.
10.
The second moment of GL(3) \times GL(2) L-functions at special points on the arXiv,
Math. Ann. 356 (2013), no. 3, 1005-1028.
9.
The first moment of quadratic Dirichlet L-functions on the arXiv,
Acta Arithmetica 138 (2009), no. 1, 73--99.
8.
Mean values with cubic characters (with Stephan Baier) on the arXiv,
J. Number Theory 130 (2010), no. 4, 879--903.
7.
The twisted fourth moment of the Riemann zeta function (with Chris Hughes) on the arXiv,
J. Reine Angew. Math. 641 (2010), 203--236.
6.
Moments of the critical values of families of elliptic curves, with
applications on the arXiv, Canad. J. Math. 62
(2010), no.5, 1155–1181.
5.
The reciprocity law for the twisted second moment of Dirichlet L-functions on the arXiv,
Forum Math. 23 (2011) no. 6, 1323–1337.
4.
The fourth moment of Dirichlet L-functions on the arXiv,
Ann. of Math. (2) 173 (2011), no. 1, 1-50.
1.''
Analytic number theory and ranks of elliptic curves (appeared in The
Proceedings of Random Matrix Theory and Ranks of Elliptic Curves)
3.
On the nonvanishing of elliptic curve L-functions at the central point on the arXiv,
Proc. London Math. Soc. 93 (2006), no. 1, 1-42
2.
Lower order terms of the 1-level density of families of elliptic curves
(Appeared in IMRN 2005, 10) on
the arXiv
1.'
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
1.
Low-lying zeros of families of elliptic curves J. Amer. Math. Soc. 19 (2006),
no.1, 205--250 on the arXiv
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