Publications of András Biró

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

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

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

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

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

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

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

Some integrals of hypergeometric functions
Acta Math. Hung., vol. 152, no 1, 2017, p. 58-71.

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.

An Identity related to Wilson functions
Acta Math. Hung., vol. 144, no 2, 2014, p. 367-406.

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

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

Some properties of Wilson functions
Acta Math. Hung., vol. 137, no 3, 2012, p. 158-190.

An expansion theorem concerning Wilson functions and polynomials
Acta Math. Hung., vol. 135, no 4, 2012, p. 350-382.

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.

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

Characterizatons of groups generated by Kronecker sets
Journal de Theorie des Nombres de Bordeaux, 19, 2007, p. 567-582.

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

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

On the class number one problem for some special real quadratic fields
In: C, Levesque; SI, Katayama; T, Nakahara (eds.) Yokoi-Chowla Conjecture and Related Problems : Proceedings of the 2003 Nagoya Conference Yokoi-Chowla Conjecture and Related Problems.Saga, Saga University Faculty of Science and Engineering (2004) 139 p. pp. 1-9..

Chowla’s conjecture
Acta Arithmetica, 107.2, 2003, p. 179-204.

Yokoi's conjecture
Acta Arithmetica, 106.1, 2003, p. 85-104.

Strong Characterizing Sequences in Simultaneous Diophantine Approximation
with Vera T. Sós
J. of Number Theory, 99 (2) 2003, p. 405-414.

Notes on a problem of Turán
Period. Math. Hungar., 42 (1-2) 2001, p. 69-76.

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.

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

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

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

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.

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

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

On L-infinity universally bad sequences in ergodic theory
Illinois Journal of Mathematics, vol. 41 (2), 1997, p. 309-314.

A Turán-Kubilius inequality with multiplicative weights
with Tamás Szamuely
Acta Math. Hungar., 70 (1-2) 1996, p. 39-56.

On a problem of Turán concerning sums of powers of complex numbers
Acta Math. Hungar., 65 (3) 1994, p. 209-216.

Notes on nonnegative convergent series
Real Analysis Exchange, vol. 18 (2), 1992-93, p. 480-489.