@article{MTMT:167201,
	title = {Trigonometric series and uniform distribution mod 1},
	url = {https://m2.mtmt.hu/api/publication/167201},
	author = {Berkes, István and Philipp, W},
	journal-iso = {STUD SCI MATH HUNG},
	journal = {STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA},
	volume = {31},
	unique-id = {167201},
	issn = {0081-6906},
	keywords = {Discrepancy; Uniform distribution mod 1; Trigonometric and Walsh series},
	year = {1996},
	eissn = {1588-2896},
	pages = {15-25}
}

@article{MTMT:3125028,
	title = {An optimal condition for the lil for trigonometric series},
	url = {https://m2.mtmt.hu/api/publication/3125028},
	author = {Berkes, István},
	doi = {10.1090/S0002-9947-1995-1282883-1},
	journal-iso = {T AM MATH SOC},
	journal = {TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY},
	volume = {347},
	unique-id = {3125028},
	issn = {0002-9947},
	abstract = {By a classical theorem is a sequence of positive integers satisfying then obeys the law of the iterated logarithm, i.e., limsup It is also known (Takahashi [7, 8]) that the Hadamard gap condition can be essentially weakened here but the problem of finding the precise gap condition for the LIL (1) has remained open. In this paper we find, using combinatorial methods, an optimal gap condition for the upper half of the LIL, i.e., the inequality. © 1995 American Mathematical Society.},
	year = {1995},
	eissn = {1088-6850},
	pages = {515-530}
}

@article{MTMT:167033,
	title = {An optimal condition for the LIL for trigonometric series},
	url = {https://m2.mtmt.hu/api/publication/167033},
	author = {Berkes, István},
	doi = {10.2307/2154899},
	journal-iso = {T AM MATH SOC},
	journal = {TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY},
	volume = {347},
	unique-id = {167033},
	issn = {0002-9947},
	year = {1995},
	eissn = {1088-6850},
	pages = {515-530}
}

@article{MTMT:166705,
	title = {Critical LIL behavior of the trigonometric system},
	url = {https://m2.mtmt.hu/api/publication/166705},
	author = {Berkes, István},
	doi = {10.1090/S0002-9947-1993-1099352-2},
	journal-iso = {T AM MATH SOC},
	journal = {TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY},
	volume = {338},
	unique-id = {166705},
	issn = {0002-9947},
	keywords = {SERIES; Lacunary trigonometric series; Upper-lower class tests; WEAK AND STRONG DEPENDENCE; law of the iterated logarithm; law of the iterated logarithm},
	year = {1993},
	eissn = {1088-6850},
	pages = {553-585}
}

@article{MTMT:1926614,
	title = {Non-Gaussian limit distributions of lacunary trigonometric series},
	url = {https://m2.mtmt.hu/api/publication/1926614},
	author = {Berkes, István},
	doi = {10.4153/CJM-1991-052-0},
	journal-iso = {CAN J MATH},
	journal = {CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES},
	volume = {43},
	unique-id = {1926614},
	issn = {0008-414X},
	year = {1991},
	eissn = {1496-4279},
	pages = {948-959}
}

@article{MTMT:2142578,
	title = {An almost sure invariance principle for lacunary trigonometric series},
	url = {https://m2.mtmt.hu/api/publication/2142578},
	author = {Berkes, István},
	doi = {10.1007/BF01895964},
	journal-iso = {ACTA MATH ACAD SCI HUNG},
	journal = {ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE},
	volume = {26},
	unique-id = {2142578},
	issn = {0001-5954},
	year = {1975},
	pages = {209-220}
}