@article{MTMT:3390326,
	title = {On Series of Translates of Positive Functions. III},
	url = {https://m2.mtmt.hu/api/publication/3390326},
	author = {Buczolich, Zoltán and Maga, Balázs and Vértesy, Gáspár},
	doi = {10.1007/s10476-018-0205-1},
	journal-iso = {ANAL MATH},
	journal = {ANALYSIS MATHEMATICA},
	volume = {44},
	unique-id = {3390326},
	issn = {0133-3852},
	keywords = {SET; RATIO; Almost everywhere convergence; INFINITE MEASURE; Borel-Cantelli lemma; asymptotically dense},
	year = {2018},
	eissn = {1588-273X},
	pages = {185-205},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}

@article{MTMT:2994059,
	title = {Convergence of series of dilated functions and spectral norms of GCD matrices},
	url = {https://m2.mtmt.hu/api/publication/2994059},
	author = {Aistleitner, C and Berkes, István and Seip, K and Weber, M},
	doi = {10.4064/aa168-3-2},
	journal-iso = {ACTA ARITH},
	journal = {ACTA ARITHMETICA},
	volume = {168},
	unique-id = {2994059},
	issn = {0065-1036},
	keywords = {Probabilistic methods; Almost everywhere convergence; Sums of dilated functions; GCD sums; GCD matrices; Convergence of function series},
	year = {2015},
	eissn = {1730-6264},
	pages = {221-246}
}

@article{MTMT:2780054,
	title = {On series Σckf(kx) and Khinchin’s conjecture},
	url = {https://m2.mtmt.hu/api/publication/2780054},
	author = {Berkes, István and Weber, M},
	doi = {10.1007/s11856-014-0036-0},
	journal-iso = {ISR J MATH},
	journal = {ISRAEL JOURNAL OF MATHEMATICS},
	volume = {201},
	unique-id = {2780054},
	issn = {0021-2172},
	abstract = {We prove the optimality of a criterion of Koksma (1953) in Khinchin’s conjecture on strong uniform distribution. This verifies a claim of Bourgain (1988) and leads also to a near optimal a.e. convergence condition for series Σk=1 ∞ckf(kx) with f ∈ L2. Finally, we show that under mild regularity conditions on the Fourier coefficients of f, the Khinchin conjecture is valid assuming only f ∈ L2.},
	year = {2014},
	eissn = {1565-8511},
	pages = {593-609}
}

@article{MTMT:169526,
	title = {On the convergence of sum c_kf(n_kx)},
	url = {https://m2.mtmt.hu/api/publication/169526},
	author = {Berkes, István and Weber, M},
	doi = {10.1090/memo/0943},
	journal-iso = {MEM AM MATH SOC},
	journal = {MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY},
	volume = {201},
	unique-id = {169526},
	issn = {0065-9266},
	keywords = {BEHAVIOR; SEQUENCES; SERIES; ENTROPY; SPACE; martingales; Random walks; SUMS; THEOREMS; Discrepancy; Almost everywhere convergence; Lacunary series; Quasi-orthogonality; mean convergence; Dirichlet series; MOD-1; UNIFORM-DISTRIBUTION; random trigonometric series; NUMBER-THEORY},
	year = {2009},
	eissn = {1947-6221},
	pages = {1-72}
}

@article{MTMT:1390271,
	title = {On series of translates of positive functions},
	url = {https://m2.mtmt.hu/api/publication/1390271},
	author = {Buczolich, Zoltán and Kahane, JP and Mauldin, RD},
	doi = {10.1023/A:1013904610368},
	journal-iso = {ACTA MATH HUNG},
	journal = {ACTA MATHEMATICA HUNGARICA},
	volume = {93},
	unique-id = {1390271},
	issn = {0236-5294},
	abstract = {For Lambda, a discrete infinite set of nonnegative real numbers, and a nonnegative measurable function f : R - R+, consider C = C(f, Lambda) = {x : SigmalambdaepsilonLambda f(x + Lambda) < +00 }. The sets Lambda naturally break into two types. Type 1 consists of Lambda such that either C = R almost everywhere or else C = 0 a.e., for every f. Type 2 consists of all the other A. We introduce a notion of asymptotic density for Lambda and the complementary notion of asymptotic lacunarity. We demonstrate that Lambda is of type 2 if it is asymptotically lacunary or else is asymptotically dense and exhibits asymptotically large Q-independent sets. We also give some examples of sets of both types.},
	year = {2001},
	eissn = {1588-2632},
	pages = {171-188},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}

@article{MTMT:1390280,
	title = {On series of translates of positives functions},
	url = {https://m2.mtmt.hu/api/publication/1390280},
	author = {Buczolich, Zoltán and Kahane, JP and Mauldin, RD},
	doi = {10.1016/S0764-4442(00)88563-8},
	journal-iso = {CR ACAD SCI I MATH},
	journal = {COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE},
	volume = {329},
	unique-id = {1390280},
	issn = {0764-4442},
	abstract = {Given f : R --> R+ and Lambda discrete in R+ we denote by C(f, Lambda), resp. D(f, Lambda), the x-set where the series Sigma f(x + lambda) (lambda is an element of Lambda) converges, resp. diverges. The sets Lambda break into two types. Type 1 consists of Lambda such that the Lebesgue measure of either C(f, Lambda) or D(f, Lambda) vanishes whatever f measurable, and type 2 consists of all the other Lambda. Buczolich and Mauldin proved that {log n} (n = 1, 2,...) is of type 2. Type 2 is generic, type 1 is rare, and we give examples of both cases (Theorems 1, 2, 3). (C) 1999 Academie des Sciences / Editions scientifiques et medicales Elsevier SAS.},
	year = {1999},
	pages = {261-264},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}

@article{MTMT:2380646,
	title = {On the convergence of Sigma(infinity)(n=1)f(nx) for measurable functions},
	url = {https://m2.mtmt.hu/api/publication/2380646},
	author = {Buczolich, Zoltán and Mauldin, RD},
	doi = {10.1112/S0025579300007804},
	journal-iso = {MATHEMATIKA},
	journal = {MATHEMATIKA},
	volume = {46},
	unique-id = {2380646},
	issn = {0025-5793},
	abstract = {Questions of Haight and of Weizsäcker are answered in the following result. There exists a measurable function f: (0, +∞) → {0, 1} and two non-empty intervals IF, I∞ ⊂[1/2, 1) such that Σ∞ n = 1 f(nx) < +∞ for every x∈I∞, and Σ∞ n = 1 f(nx) <+∞ for almost every x∈IF. The function f may be taken to be the characteristic function of an open set E.},
	year = {1999},
	eissn = {2041-7942},
	pages = {337-341},
	orcid-numbers = {Buczolich, Zoltán/0000-0001-5481-8797}
}

@article{MTMT:2142576,
	title = {On the asymptotic behaviour of {perspective}f(nkx) - Applications},
	url = {https://m2.mtmt.hu/api/publication/2142576},
	author = {Berkes, István},
	doi = {10.1007/BF00535968},
	journal-iso = {Z WAHRSC VERW GEBIETE},
	journal = {ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE},
	volume = {34},
	unique-id = {2142576},
	issn = {0044-3719},
	year = {1976},
	pages = {347-365}
}

@article{MTMT:2142577,
	title = {On the asymptotic behaviour of {perspective}f(nkx) - Main theorems},
	url = {https://m2.mtmt.hu/api/publication/2142577},
	author = {Berkes, István},
	doi = {10.1007/BF00535967},
	journal-iso = {Z WAHRSC VERW GEBIETE},
	journal = {ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE},
	volume = {34},
	unique-id = {2142577},
	issn = {0044-3719},
	year = {1976},
	pages = {319-345}
}