#
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

### 51. The seond moment of the GL_3 standard L-function on the critical line (with Agniva Dasgupta and Wing Hong Leung), 32
pages arxiv,

### 50. Asymptotic second moment of Dirichlet L-functions along a thin coset (with Bradford Garcia), 18
pages arxiv, submitted

### 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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