Selected Publications

Triple product integrals and Rankin-Selberg L-functions
to appear in Functiones et Approximatio Commentarii Mathematici
[pdf]

On the geometric trace of a generalized Selberg trace formula
with Dávid Tóth
Forum Mathematicum, 2024, https://doi.org/10.1515/forum-2023-0344 [pdf]

Class number one problem for a family of real quadratic fields
Mathematika., vol. 68, no 4, 2022, p. 1221-1232. [pdf]

Bykovskii-Type Theorem for the Picard Manifold
with Antal Balog, Giacomo Cherubini, Niko Laaksonen
Int. Math. Research Notices, 2022 (3), 2022, p. 1893-1921. [pdf]

Uncertainty in finite planes
with Vsevolod F. Lev
J. of Functional Analysis, 281 (3), 2021, Paper: 109026, 32 p [pdf]

The prime geodesic theorem in square mean
with Antal Balog, Gergely Harcos, Péter Maga
J. of Number Theory., 198, 2019, p. 239-249. [pdf]

Local average of the hyperbolic circle problem for Fuchsian groups
Mathematika., vol. 64, no 1, 2018, p. 159-183. [pdf]

The class number one problem for the real quadratic fields ℚ(√(an)^2 + 4a)
with Kostadinka Lapkova
Acta Arithmetica, 172.2, 2016, p. 117-131. [pdf]

Zeta functions for ideal classes in real quadratic fields, at s=0
with Andrew Granville
J. of Number Theory., 132, 2012, p. 1807-1829. [pdf]

A duality relation for certain triple products of automorphic forms
Israel J. of Math., vol. 192, no 2, 2012, p. 587-636. [pdf]

A relation between triple products of weight 0 and weight ½ cusp forms
Israel J. of Math., vol. 182, no 1, 2011, p. 61-101. [pdf]

Interpolation by elliptic functions
Complex Variables and Elliptic Equations, 53, No. 7, 2008, p. 691-707

Strong characterizing sequences for subgroups of compact groups
Journal of Number Theory, 121, 2006, p. 324-354. [pdf]

Divisibility of integer polynomials and tilings of the integers
Acta Arithmetica, 118.2, 2005, p. 117-127. [pdf]

Chowla`s conjecture
Acta Arithmetica, 107.2, 2003, p. 179-204. [pdf]

Yokoi`s conjecture
Acta Arithmetica, 106.1, 2003, p. 85-104. [pdf]

Good approximation and characterization of subgroups of ℝ/ℤ
with Jean-Marc Deshouillers and Vera T. Sós
Studia Sci. Math. Hungar., 38 (1-4) 2001, p. 97-113. [pdf]

An improved estimate in a power sum problem of Turán
Indag. Math., 11 (3), 2000, p. 343-358. [pdf]

An upper estimate in Turán`s pure power sum problem
Indag. Math., 11 (4), 2000, p. 499-508. [pdf]

On polynomials over prime fields taking only two values on the multiplicative group
Finite Fields and their Applications, 6, 2000, p. 302-308. [pdf]

Cycle integrals of Maass forms of weight 0 and Fourier coefficients of Maass forms of weight 1/2
Acta Arithmetica, 94, 2000, p. 103-152. [pdf]

Notes on a problem of H. Cohn
Journal of Number Theory, 77, 1999, p. 200-208. [pdf]

On a generalization of the Selberg trace formula
Acta Arithmetica, 87 (4), 1999, p. 319-338. [pdf]

Full publication list