# 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

### 42. Quantum unique ergodicity for Eisenstein series in the level aspect (with Jiakun Pan), 34 pages arxiv

### 41. The fourth moment of Dirichlet L-functions along a coset and
the Weyl bound (with Ian Petrow), 54 pages arxiv, submitted

### 40. Dedekind sums arising from newform Eisenstein series (with
Tristie Stucker and Amy Vennos), 9 pages arxiv, submitted

### 39. The Weyl bound for Dirichlet LL-functions
of cube-free conductor (with Ian Petrow), 37 pages arxiv, submitted

### 31'. Equidistribution of Eisenstein series on geodesic segments, 38
pages arxiv,
accepted for publication by Advances in Mathematics.

### 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, accepted for
publication by J. Theor. Nombres Bordeaux.

###

### 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,
submitted

### 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 to appear in Math.
Annalen

### 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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