Papers

 

N. H. BSHOUTY, T.-M. CHEUNG, G. HARCOS, H. HATAMI, A. OSTUNI, A tight lower bound on non-adaptive group testing estimation, preprint [arXiv]

N. H. BSHOUTY, G. HARCOS, A tight lower bound of Ω(log n) for the estimation of the number of defective items, preprint [arXiv, ECCC]

D. CHATZAKOS, G. HARCOS, I. KANEKO, The prime geodesic theorem in arithmetic progressions, preprint [arXiv, pdf]

G. HARCOS, J. THORNER, A new zero-free region for Rankin-Selberg L-functions, preprint [arXiv]

P. L. ERDŐS, G. HARCOS, S. R. KHAREL, P. MAGA, T. R. MEZEI, Z. TOROCZKAI, The sequence of prime gaps is graphic, Math. Ann. 388 (2024), 2195-2215. [arXiv, pdf, html]

M. FRĄCZYK, G. HARCOS, P. MAGA, D. MILIĆEVIĆ, The density hypothesis for horizontal families of lattices, Amer. J. Math. 146 (2024), 107-160. [arXiv, pdf]

G. HARCOS, K. SOUNDARARAJAN, A supplement to Chebotarev's density theorem, Sci. China Math. 66 (2023), 2749-2753. [arXiv, pdf, html]

V. BLOMER, G. HARCOS, P. MAGA, D. MILIĆEVIĆ, Beyond the spherical sup-norm problem, J. Math. Pures Appl. 168 (2022), 1-64. [arXiv, pdf, html]

M. FRĄCZYK, G. HARCOS, P. MAGA, Counting bounded elements of a number field, Int. Math. Res. Not. 2022, no. 1, 373-390. [arXiv, html]

G. HARCOS, Visszatekintés: Polymath8, Érintő: Elektronikus Mat. Lapok 19 (2021), Art. ID 1044 (Hungarian) [pdf, html]

G. HARCOS, D. SOLTÉSZ, New bounds on even cycle creating Hamiltonian paths using expander graphs, Combinatorica 40 (2020), 435-454. [arXiv]

V. BLOMER, G. HARCOS, P. MAGA, Analytic properties of spherical cusp forms on GL(n), J. Anal. Math. 140 (2020), 483-510. [arXiv]

V. BLOMER, G. HARCOS, P. MAGA, D. MILIĆEVIĆ, The sup-norm problem for GL(2) over number fields, J. Eur. Math. Soc. 22 (2020), 1-53. [arXiv, pdf, errata]

V. BLOMER, G. HARCOS, P. MAGA, On the global sup-norm of GL(3) cusp forms, Israel J. Math. 229 (2019), 357-379. [arXiv, pdf]

A. BALOG, A. BIRÓ, G. HARCOS, P. MAGA, The prime geodesic theorem in square mean, J. Number Theory 198 (2019), 239-249. [arXiv, errata]

G. HARCOS, Mi is ... egy Maass-forma, Érintő: Elektronikus Mat. Lapok 3 (2017), Art. ID 430 (Hungarian) [pdf, html]

V. BLOMER, G. HARCOS, D. MILIĆEVIĆ, Bounds for eigenforms on arithmetic hyperbolic 3-manifolds, Duke Math. J. 165 (2016), 625-659. [arXiv]

L. WANG, Y.-H. LIU, M. IAZZI, M. TROYER, G. HARCOS, Split orthogonal group: A guiding principle for sign-problem-free fermionic simulations, Phys. Rev. Lett. 115 (2015), no. 25, Art. ID 250601, 6 pp. [arXiv]

G. HARCOS, Prímek, Polignac, Polymath [Primes, Polignac, Polymath], Mat. Lapok (N.S.) 20 (2014), no. 2, 1-13. (Hungarian) [pdf]

D. H. J. POLYMATH [participants], Variants of the Selberg sieve, and bounded intervals containing many primes, Res. Math. Sci. 1 (2014), no. 12, 83 pp. [arXiv]

D. H. J. POLYMATH [participants], New equidistribution estimates of Zhang type, Algebra & Number Theory 8 (2014), 2067-2199. [arXiv]

G. HARCOS, Twisted Hilbert modular L-functions and spectral theory, In: Automorphic forms and L-functions (ed. J. Liu), vol. 30 of Adv. Lect. Math. (ALM), 49-67, Int. Press, Somerville, MA, 2014. [arXiv]

G. HARCOS, N. TEMPLIER, On the sup-norm of Maass cusp forms of large level. III, Math. Ann. 356 (2013), 209-216. [arXiv]

T. HAUSEL, E. LETELLIER, F. RODRIGUEZ-VILLEGAS, Arithmetic harmonic analysis on character and quiver varieties II (with an Appendix by G. HARCOS), Adv. Math. 234 (2013), 85-128. [pdf]

G. HARCOS, N. TEMPLIER, On the sup-norm of Maass cusp forms of large level: II, Int. Math. Res. Not. 2012, no. 20, 4764-4774. [pdf]

V. BLOMER, G. HARCOS, A hybrid asymptotic formula for the second moment of Rankin-Selberg L-functions, Proc. Lond. Math. Soc. 105 (2012), 473-505. [arXiv]

G. HARCOS, GY. KÁROLYI, G. KÓS, Remarks to Arsovski's proof of Snevily's conjecture, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 54 (2011), 57-61. [arXiv]

G. HARCOS, Equidistribution on the modular surface and L-functions, In: Homogeneous flows, moduli spaces and arithmetic (eds. M. L. Einsiedler, D. A. Ellwood, A. Eskin, D. Kleinbock, E. Lindenstrauss, G. Margulis, S. Marmi, and J.-C. Yoccoz), 377-387, Clay Math. Proc. Vol. 10, Amer. Math. Soc., Providence, RI, 2010. [pdf, errata]

V. BLOMER, G. HARCOS, Twisted L-functions over number fields and Hilbert's eleventh problem, Geom. Funct. Anal. 20 (2010), 1-52. [pdf]; Erratum [pdf]

V. BLOMER, G. HARCOS, L-functions, automorphic forms, and arithmetic, In: Symmetries in algebra and number theory (eds. I. Kersten and R. Meyer), 11-25, Universitätsverlag Göttingen, 2009. [pdf]

V. BLOMER, G. HARCOS, The spectral decomposition of shifted convolution sums, Duke Math. J. 144 (2008), 321-339. [arXiv]

V. BLOMER, G. HARCOS, Hybrid bounds for twisted L-functions, J. Reine Angew. Math. 621 (2008), 53-79. [pdf]; Addendum, ibid. 694 (2014), 241-244. [pdf]

T. BERGER, G. HARCOS, l-adic representations associated to modular forms over imaginary quadratic fields, Int. Math. Res. Not. 2007, no. 23, Art. ID rnm113, 16 pp. [pdf]

V. BLOMER, G. HARCOS, P. MICHEL, Bounds for modular L-functions in the level aspect, Ann. Sci. École Norm. Sup. 40 (2007), 697-740. [pdf]

V. BLOMER, G. HARCOS, P. MICHEL, A Burgess-like subconvex bound for twisted L-functions (with Appendix 2 by Z. MAO), Forum Math. 19 (2007), 61-105. [pdf]; Addendum [pdf]

G. HARCOS, P. MICHEL, The subconvexity problem for Rankin-Selberg L-functions and equidistribution of Heegner points. II, Invent. Math. 163 (2006), 581-655. [pdf, errata]

G. HARCOS, An additive problem in the Fourier coefficients of cusp forms, Math. Ann. 326 (2003), 347-365. [arXiv]; Erratum [pdf]

G. HARCOS, Uniform approximate functional equation for principal L-functions, Int. Math. Res. Not. 2002, no. 18, 923-932. [arXiv]; Erratum, ibid. 2004, no. 13, 659-660.[pdf]

I. BÁRÁNY, G. HARCOS, J. PACH, G. TARDOS, Covering lattice points by subspaces, Period. Math. Hung. 43 (2001), 93-103. [arXiv]

P. ERDŐS, G. HARCOS, J. PACH, Popular distances in 3-space, Discrete Math. 200 (1999), 95-99. [journal]

G. HARCOS, On sums of four smooth squares, J. Number Theory 77 (1999), 145-154. [journal]

G. HARCOS, I. Z. RUZSA, A problem on zero subsums in abelian groups, Period. Math. Hung. 35 (1997), 31-34. [pdf]

G. HARCOS, Waring's problem with small prime factors, Acta Arith. 80 (1997), 165-185. [pdf]

G. HARCOS, On power sums of complex numbers whose sum is 0, Acta Math. Hung. 66 (1995), 51-60. [journal]

G. HARCOS, Lovagok és lókötők a gödeli szigeteken [Knights and knaves on the gödelian islands], Középiskolai Mat. Lapok 42 (1992), 337-342. (Hungarian) [pdf]

G. HARCOS, Mely valós számok esnek a legtávolabbra az összes racionális számtól? [Which real numbers have the largest possible distance from all the rationals?], Középiskolai Mat. Lapok 42 (1992), 97-105. (Hungarian) [pdf]