Research papers of Matthew Young
A link to my papers on mathscinet is available here
My
papers can also be found on Google
Scholar. Conveniently has arxiv and published papers.
My
papers on the arxiv can be found here
I will collect some notes not suitable for publication but
possibly of some interest here
50. Asymptotic second moment of Dirichlet L-functions along a thin coset (with Bradford Garcia), 18
pages arxiv,
49. Vanishing of quartic and sextic twists of
elliptic curve L-functions (with Jennifer Berg and Nathan Ryan), 31
pages arxiv,
48. The large sieve for self-dual Eisenstein
series of varying levels, 40 pages arxiv,
submitted
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), 9 pages arxiv,
submitted
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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