János Pintz

Questa voce sull'argomento matematici ungheresi è solo un abbozzo.

Contribuisci a migliorarla secondo le convenzioni di Wikipedia.

János Pintz (Budapest, 20 dicembre 1950) è un matematico ungherese.

Pintz è conosciuto per i suoi contributi in teoria dei numeri, e principalmente per i suoi importanti lavori con Daniel Goldston e Cem Yıldırım su intervalli corti tra numeri primi consecutivi. In particolare, i tre hanno dimostrato che

\liminf _{n\to \infty }{\frac {p_{n+1}-p_{n}}{\log p_{n}}}=0

dove $p_{n}$ è l'n-esimo numero primo e $\liminf$ indica il limite inferiore. Successivamente hanno migliorato tale risultato provando che il limite resta zero anche sostituendo $\log p_{n}$ con $(\log p_{n})^{\frac {1}{2}}(\log \log p_{n})^{2}$ e che, se si assumesse la congettura di Elliott-Halberstam, vi sarebbero infinite coppie di primi la cui differenza è minore o uguale a 16.^[1]

Nel 2013 Yitang Zhang, basandosi sull'innovativo approccio di Goldston, Pintz e Yıldırım (spesso chiamati GPY) ha dimostrato che ci sono infiniti numeri primi consecutivi la cui differenza è minore di 70 milioni, facendo dunque grossi progressi verso la soluzione della congettura dei primi gemelli. Per questo motivo nel 2014 Pintz è stato insignito, insieme a Zhang, Goldston e Yıldırım, del Premio Cole in teoria dei numeri.^[2]

Note

Collegamenti esterni

Homepage, su renyi.hu.

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