Zobrazeno 1 - 10
of 90
pro vyhledávání: '"János Pintz"'
Paul Turán, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Academy of Sciences, the Alfréd Rényi Institute of Mathematics, the János Bolyai Mathematical Society a
Autor:
János Pintz
The paper presents a brief history of results about small gaps between con¬secutive primes and mentions some recent results of the author, in some cases only with a sketch of the main ideas, in some cases with detailed proofs
Externí odkaz:
http://library.oapen.org/handle/20.500.12657/23757
Autor:
János Pintz
Publikováno v:
Mathematica Pannonica. :58-64
In the 1980’s the author proved lower bounds for the mean value of the modulus of the error term of the prime number theorem and other important number theoretic functions whose oscillation is in connection with the zeros of the Riemann zeta functi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::914af11aca33882d37e95faaf86a116a
https://doi.org/10.1556/314.2022.00007
https://doi.org/10.1556/314.2022.00007
Autor:
Gy. O. H. Katona, Tamás Rudas, János Pintz, G. Tusnády, Tamás F. Móri, M. Arató, Gy. Michaletzky, Gábor J. Székely
Publikováno v:
Acta Mathematica Hungarica. 165:218-273
We discuss recent developments in the following important areas of Alfred Renyi’s research interest: axiomatization of quantitative dependence measures, qualitative independence in combinatorics, conditional qualitative independence in statistics/d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc048bb933a58f109d54e6751af9b85f
https://doi.org/10.1007/s10474-021-01164-4
https://doi.org/10.1007/s10474-021-01164-4
Autor:
Imre Z. Ruzsa, János Pintz
Publikováno v:
Acta Mathematica Hungarica. 161:569-582
Linnik considered about 70 years ago the following approximation to the binary Goldbach problem. Is it possible to give a fixed integer K such that every sufficiently large even integer could be written as the sum of two primes and K powers of two? H
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66862f884cd941e4d746883f39bfba00
https://doi.org/10.1007/s10474-020-01077-8
https://doi.org/10.1007/s10474-020-01077-8
Autor:
S. W. Graham, Daniel A. Goldston, Jordan Schettler, Apoorva Panidapu, János Pintz, C. Y. Yildirim
This paper is intended as a sequel to a paper arXiv:0803.2636 written by four of the coauthors here. In the paper, they proved a stronger form of the Erd\H{o}s-Mirksy conjecture which states that there are infinitely many positive integers $x$ such t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6cf374520aa348c7a52adf4006f5fc3d
http://arxiv.org/abs/2003.03661
http://arxiv.org/abs/2003.03661
Autor:
János Pintz
Publikováno v:
Analysis Mathematica. 44:263-271
Erdős, Polya and Turan conjectured 70 years ago that a linear combination of consecutive differences of primes takes infinitely often both positive and negative values if and only if the (fixed) coefficients of the linear combination do not have all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c14326f2381bc51fb1b67ac389a05f48
https://doi.org/10.1007/s10476-018-0210-4
https://doi.org/10.1007/s10476-018-0210-4
Autor:
János Pintz
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 296:198-210
An 84-year-old classical result of Ingham states that a rather general zero-free region of the Riemann zeta function implies an upper bound for the absolute value of the remainder term of the prime number theorem. In 1950 Tur´an proved a partial con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78604ccfebbbdaf355dfd2b0fb710c6f
https://doi.org/10.1134/s0081543817010163
https://doi.org/10.1134/s0081543817010163
Autor:
János Pintz
Publikováno v:
Probability and Number Theory — Kanazawa 2005, S. Akiyama, K. Matsumoto, L. Murata and H. Sugita, eds. (Tokyo: Mathematical Society of Japan, 2007)
We give a survey about the topics mentioned in the title, with a more detailed description of the recent joint results of Goldston, Yıldırım and the author about small gaps between consecutive primes.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f03d4442ec2f8839aa288633d4263220
https://doi.org/10.2969/aspm/04910323
https://doi.org/10.2969/aspm/04910323
Autor:
János Pintz
We prove some new log-free density theorems for zeros of Dirichlet L-functions (which accordingly are more sharp than earlier ones near to the boundary line of the critical strip). The results can be applied in several problems of prime number theory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63c6a85f46bc0b332d92fe45ba525369
http://arxiv.org/abs/1804.05552
http://arxiv.org/abs/1804.05552