Publications and Preprints
Mass equidistribution for Saito-Kurokawa lifts
,
(with Jesse Jääsaari and Abhishek Saha), submitted.
Around the Gauss circle problem: Hardy's conjecture and the distribution of lattice points near circles, (with Igor Wigman) submitted.
Poisson spacing statistics for lattice points on circles, (with Pär Kurlberg) submitted.
Weighted central limit theorems for central values of L-functions,
(with Hung Bui, Natalie Evans, Kyle Pratt), J. Eur. Math. Soc., to appear.
Superscars for Arithmetic Point Scatterers II
,
(with Pär; Kurlberg, Lior Rosenzweig), Math. Forum Sigma, to appear.
Quantum variance for dihedral forms
,
(with Bingrong Huang), Transactions of the American Mathematical Society, 376 (2023), 643--695.
On fundamental Fourier coefficients of Siegel cusp forms of degree 2 ,
(with Jesse Jääsaari and Abhishek Saha), J. Inst. Math. Jussieu, 22(4) (2023), 1819--1859.
On the distribution of lattice points on hyperbolic circles
,
(with Dimitrios Chatzakos, Pär; Kurlberg, Igor Wigman), Algebra Number Theory, 15(9) (2021), 2357--2380.
Signs of fourier coefficients of half-integral weight modular forms
,
(with Maksym Radziwiłł), Math. Ann., 379, (2021), 1553--1604.
Quantum unique ergodicity for half-integral weight automorphic forms ,
(with Maksym Radziwiłł), Duke Math. J., 169, (2020), no. 2, 279-351.
Discrepancy bounds for the distribution of the
Riemann zeta-function with applications (with Youness Lamzouri, Maksym Radziwiłł),
J. Anal. Math, (2019), no. 2, 453-494.
Small scale distribution of zeros and mass of modular forms ,
(with Kaisa Matomäki; and Maksym Radziwiłł), J. Eur. Math. Soc., 20 (2018), no. 7, 1595--1627.
An effective universality theorem for the Riemann zeta-function
,
(with Youness Lamzouri and Maksym Radziwiłł), Comment. Math. Helv., 93 (2018), no. 4, 709--736.
Small scale equidistribution of eigenfunctions on the torus ,
(with Zeév; Rudnick), Comm. Math. Phys., 350 (2017), no. 1,
279--300.
On the variance of sums of divisor functions in short intervals,
Proc. Amer. Math. Society, 144 (2016), no. 12, 5015--5027.
On the distribution of the divisor function and Hecke eigenvalues
(with
Nadav Yesha),
Israel J. Math., 212 (2016), no. 1, 443-472.
a-Points of the
Riemann zeta-function on the critical line, Int. Math. Res. Not. IMRN, (2015), no. 9, 2406-2436.
On the distribution of the zeros
of the derivative of the Riemann zeta-function,
Math. Proc. Cambridge Philos. Soc., 157 (2014), no. 3, 425-442.
The distribution of the logarithmic derivative of the Riemann zeta-function,
Quart. J. of Math., (2014) 65 (4): 1319-1344.
On Balazard, Saias, and Yor's
equivalence to the Riemann Hypothesis (with Hung Bui and
Micah Milinovich), J. Math. Anal. Appl., 409 (2014), no. 1, 244-253.
Mean values of ζ'/ζ(s), correlation
of zeros, and the distribution of almost primes (with David Farmer, Steve Gonek,
Yoonbok Lee), Quart. J. of Math., 64 (2013), no. 4, 1057-1089.
A note on simple a-points of L-functions
(with Steve Gonek,
Micah Milinovich), Proc. Amer. Math. Society, 140 (2012), no. 12, 4097-4103.
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Last update: September, 2023.