Daniel Goldston, Date of Birth, Place of Birth

Daniel Goldston

American mathematician

Date of Birth: 04-Jan-1954

Place of Birth: Oakland, California, United States

Profession: mathematician, university teacher

Nationality: United States

Zodiac Sign: Capricorn

Daniel Alan Goldston (born January 4, 1954 in Oakland, California) is an American mathematician who specializes in number theory.
He is currently a professor of mathematics at San Jose State University. Goldston is best known for the following result that he, János Pintz, and Cem Yildirim proved in 2005: lim inf n ? 8 p n + 1 - p n log ? p n = 0 {\displaystyle \liminf _{n\to \infty }{\frac {p_{n+1}-p_{n}}{\log p_{n}}}=0} where p n {\displaystyle p_{n}} denotes the nth prime number.
In other words, for every c > 0 {\displaystyle c>0\ } , there exist infinitely many pairs of consecutive primes p n {\displaystyle p_{n}\ } and p n + 1 {\displaystyle p_{n+1}\ } which are closer to each other than the average distance between consecutive primes by a factor of c {\displaystyle c\ } , i.e., p n + 1 - p n < c log ? p n {\displaystyle p_{n+1}-p_{n}
Then Pintz joined the team and they completed the proof in 2005. In fact, if they assume the Elliott–Halberstam conjecture, then they can also show that primes within 16 of each other occur infinitely often, which is related to the twin prime conjecture.

George Bergman (1943–)

	Alternative names	George M. Bergman
	Description	American university teacher
	Date of birth	22 July 1943
	Location of birth	Brooklyn
	Authority control	: Q16198978 VIAF: 36173960 ISNI: 0000 0001 1054 507X LCCN: n96003979 MGP: 32848 GND: 172970725 WorldCat