Publications of András Biró

Local square mean in the hyperbolic circle problem
to appear in Algebra and Number Theory

On the class number of pairs of binary quadratic forms
Journal de Theorie des Nombres de Bordeaux, 37, 2025, p. 897-924.

Triple product integrals and Rankin-Selberg L-functions
Functiones et Approximatio Commentarii Mathematici, 72 (2) 2025, p. 225-275.

On the geometric trace of a generalized Selberg trace formula
with Dávid Tóth
Forum Mathematicum, 37 (2) 2025, p. 547-579.

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.