János Pintz

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

Pintz on Alfréd Rényi Institute of the Hungarian Academy of Sciences. He is a pupil of Pál Turán. His first scientific publication is from 1971.

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

He scored among other things, results in the reasoned Pál Turán comparative prime number theory and in the improvement of the exponent in the set of Guido Hoheisel on the difference of consecutive primes.

Pintz proved with Dan Goldston and Cem Yıldırım 2005 theorem on the number of twin primes with ( compared to the average, which is at a prime p of the order of log p ) a small distance from each other ( see Article Goldston ). The first proof of Goldston and Yıldırım 2003 was flawed, but could be corrected in collaboration with Pintz. The three mathematicians was in 2014 jointly awarded the Cole Prize for number theory.