Research Professor
Number Theory Division
Alfréd Rényi Institute of Mathematics
1053 Budapest, Reáltanoda u. 13-15., Hungary
e-mail: biro.andras@renyi.hu
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]