- János
Pintz (Hungarian pronunciation: [ˈjaːnoʃ ˈpints]; born 20
December 1950 in Budapest) is a
Hungarian mathematician working in
analytic number theory...
- The Goldston–
Pintz–Yıldırım
sieve (also
called GPY
sieve or GPY method) is a
sieve method and
variant of the
Selberg sieve with generalized, multidimensional...
- (ineffective)
constant K of
powers of 2.
Following many
advances (see
Pintz for an overview),
Pintz and
Ruzsa improved this to K = 8. ****uming the GRH, this can...
- that one may
choose θ = 7/12 = 0.583. A result, due to Baker,
Harman and
Pintz in 2001,
shows that θ may be
taken to be 0.525. The
above describes limits...
- {\displaystyle p_{n+1}-p_{n}=O(p_{n}^{0.525})} due to Baker, Harman, and
Pintz. In the
other direction, E.
Westzynthius proved in 1931 that
prime gaps...
-
constant could be
improved further to c = 0.085786... . In 2005, Goldston,
Pintz, and Yıldırım
established that c can be
chosen to be
arbitrarily small,...
- subset. To
construct this set,
Green and Tao used
ideas from Goldston,
Pintz, and Yıldırım's work on
prime gaps. Once the
pseudorandomness of the set...
-
large even
number is the sum of two
primes and at most K
powers of 2. János
Pintz and Imre
Ruzsa found in 2020 that K = 8 works. ****uming the generalized...
- 1990. Graham,
Knuth &
Patashnik 1994, p. 381.
Blokhintsev 2012, p. 35.
Pintz 1980, pp. 733–735.
Gaitsgory &
Lurie 2019, pp. 204–307.
Kottwitz 1988. Miller...
- at Boğaziçi
University in Istanbul, Turkey. In 2009, Dan Goldston, János
Pintz, and Yıldırım
proved that for any
positive number ε
there exist primes p...
