János Pintz

János Pintz (born December 20, 1950 in Budapest ) is a Hungarian mathematician who deals with analytical number theory.

Pintz is at the Alfréd Rényi Institute of the Hungarian Academy of Sciences . He is a student of Pál Turán . Its first scientific publication is from 1971.

In 1985 he gave an upper bound for a counterexample of the Mertens conjecture (an inequality for the Mertens function), which was refuted in the same year by Andrew Odlyzko and Herman te Riele , albeit with an existence proof without estimating the size of a counterexample.

Among other things, he achieved results in the comparative prime number theory founded by Pál Turán and in the improvement of the exponent in Guido Hoheisel's theorem on the difference between successive prime numbers.

Together with Dan Goldston and Cem Yıldırım 2005, Pintz proved a theorem about the number of prime twins with a small distance from each other (compared to the mean value, which is of the order of magnitude log p for a prime p) (see article Goldston). Goldston and Yıldırım's first proof in 2003 was incorrect, but was corrected in collaboration with Pintz. The three mathematicians were jointly awarded the Cole Prize for Number Theory in 2014. In 2014 he was invited speaker with Goldston and Yildirim at the ICM in Seoul (Small gaps between primes).

Since 2004 he has been a corresponding member and since 2010 he has been a full member of the Hungarian Academy of Sciences . In 2013 he was elected a member of the Academia Europaea .

Web links

Individual evidence

^ Peter Hermann, Antal Pasztor: Magyar és nemzetközi ki kicsoda (Who is Who in Hungary), 1994
^ Daniel Alan Goldston, Yoichi Motohashi, János Pintz, Cem Yalçın Yıldırım: Small gaps between primes exist. In: Proceedings of the Japan Academy. Series A: Mathematical Sciences. Vol. 82, No. 4, 2006, pp. 61-65, ( online ).
^ Membership directory: János Pintz. Academia Europaea, accessed September 29, 2017 .

personal data
SURNAME	Pintz, Janos
BRIEF DESCRIPTION	Hungarian mathematician
DATE OF BIRTH	December 20, 1950
PLACE OF BIRTH	Budapest

[1] Peter Hermann, Antal Pasztor: Magyar és nemzetközi ki kicsoda (Who is Who in Hungary), 1994

[2] Daniel Alan Goldston, Yoichi Motohashi, János Pintz, Cem Yalçın Yıldırım: Small gaps between primes exist. In: Proceedings of the Japan Academy. Series A: Mathematical Sciences. Vol. 82, No. 4, 2006, pp. 61-65, ( online ).

[3] Membership directory: János Pintz. Academia Europaea, accessed September 29, 2017 .