Carl Pomerance
Carl Bernard Pomerance (born November 24, 1944 in Joplin , Missouri ) is an American number theorist .
Life
Pomerance studied at Brown University and graduated there in 1966 with a diploma thesis (M.Sc.) A determination of imaginary quadratic principal ideal domains . In 1972 he received his PhD from Harvard University with John T. Tate . In his dissertation, An Odd Perfect Number is Divisible by at Least Seven Distinct Primes , he proved that an odd perfect number (that is, it is the sum of its real divisors ) has at least seven different prime factors . He then went to the University of Georgia , where he became a professor in 1982. He later worked at Lucent Technologies and is now a professor at Dartmouth College .
Pomerance published 20 articles together with Paul Erdős . He is known for the invention of an efficient Faktorisierungsverfahrens , the quadratic sieve , and is co-inventor of the Adleman -Pomerance- Rumely - Prime Tests (APR because of Henri Cohen and Hendrik Lenstra also improves APRCL).
He is a fellow of the American Mathematical Society .
In 2019 he and Chris Spicer showed that the number seventy-three , Sheldon Cooper's favorite number from the Big Bang Theory series , was the only prime number to have a combination of unusual properties that have since been known as the Sheldon prime or Sheldon conjecture .
Honors
- 1985 Chauvenet Prize of the Mathematical Association of America
- In 1994 he was invited speaker at the International Congress of Mathematicians in Zurich ( The role of smooth numbers in number theoretical algorithms ).
- 2001 Levi L. Conant Prize
Works (selection)
- Recent developments in primality testing , in: The Mathematical Intelligencer, Volume 3, 1981, pp. 95-105 (for this essay he received the Chauvenet Prize).
- A tale of two sieves , Notices of the AMS 43, No. 12 (1996), pp. 1473–1485 (for this review he received the Conant Prize).
- with Richard Crandall : Prime Numbers. A Computational Perspective , Springer-Verlag, New York 2005, ISBN 0-387-25282-7 .
Individual evidence
- ^ Pomerance, Carl Bernard (Honors: Mathematics, 1966) , Brown University Library
- ^ Carl Pomerance, Chris Spicer (2019) Proof of the Sheldon Conjecture . American Mathematical Monthly 121: 1-11
Web links
- Pomerance in the Mathematics Genealogy Project
- Homepage in Dartmouth
- A tale of two sieves (PDF; 275 kB)
| personal data | |
|---|---|
| SURNAME | Pomerance, Carl |
| ALTERNATIVE NAMES | Pomerance, Carl Bernard (full name) |
| BRIEF DESCRIPTION | American number theorist |
| DATE OF BIRTH | November 24, 1944 |
| PLACE OF BIRTH | Joplin (Missouri) |