Andrew Odlyzko

Odlyzko 1986

Andrew Michael Odlyzko (born July 23, 1949 in Tarnów , Poland ) was the head of the "Mathematics of Communication and Computer Systems" department at AT&T Bell Laboratories in Murray Hill , New Jersey . He is also Professor of Mathematics at the University of Minnesota School of Mathematics . In 2001 he became the founding director of the interdisciplinary Digital Technology Center at the University of Minnesota, which he led until 2008, along with other management positions.

Live and act

Odlyzko studied at Caltech (master's degree in 1971) and received his PhD in mathematics from the Massachusetts Institute of Technology (MIT) in Cambridge with Harold Stark ( Lower Bounds for Discriminants of Number Fields ) in 1975 . He then worked at Bell Telephone Laboratories , mainly in the areas of complexity theory , cryptography , number theory , combinatorics , coding theory , analysis and probability theory .

In 1985 he and Herman te Riele were able to refute Merten's conjecture . In the same year he and Jeffrey Lagarias and Victor S. Miller improved the Meissel - Lehmer method for calculating the number of prime numbers and calculated . Also with Lagarias, he published in 1987 an analytical method for dealing with bit complexity . Odlyzko also worked at AT&T Bell Labs (later renamed AT&T Labs) on researching the zeros of the zeta function , after working with Arnold Schönhage in 1988 on a very efficient method for the simultaneous calculation of the values ​​of the zeta function for equidistant arguments using faster Fourier transform had developed. With the help of powerful computers, he calculated up to zero points and statistically evaluated their distances. ${\displaystyle \pi (x)}$ ${\displaystyle \pi (10^{16})}$ ${\displaystyle \pi (x)}$ ${\displaystyle {\mathcal {O}}(x^{{\frac {1}{2}}+\epsilon })}$ ${\displaystyle 10^{19}}$

Odlyzko was an invited speaker at the ICM 1986 in Berkeley ( New analytic algorithms in number theory ). In 2000 he received an honorary doctorate from the University of Marne-La-Vallée . He is a fellow of the American Mathematical Society .

He is the owner and co-owner of 3 patents.

His publications in the 1990s on telecommunications networks , electronic publishing , electronic commerce , the economics of data networks, etc. received attention, but some of the theses he expressed there met with contradiction. He is currently working on a book comparing the Internet euphoria to the British railroad financial bubble of the 1840s and examining implications for future technology diffusion.

As a co-author of Paul Erdős , his Erdős number is 1. He has published several works with Erdös.

See also

Gilbreath's guess

literature

• Marcus du Sautoy : The music of the prime numbers. On the trail of the greatest puzzle in mathematics (“The music of the primes”). 4th edition Dtv, Munich 2008, ISBN 978-3-423-34299-5 .

Web links

• Literature by and about Andrew Odlyzko in the catalog of the German National Library
• Website of Andrew Odlyzko (English)
• Andrew Odlyzko in the Mathematics Genealogy Project (English)

Individual evidence

1. ↑ Dates of birth according to the short biography in IEEE Transactions on Information Theory, Vol. 20
2. ^ Erdős number project .
3. ↑ For example P. Erdös, A. Hildebrand, A. Odlyzko, P. Pudaite, B. Reznick: The asymptotic behavior of a family of sequences, Pacific J. Math., Volume 126, 1987, pp. 227-241, P. Erdös, AM Odlyzko, A. Sarkozy: On the residues of products of prime numbers, Period. Math. Hungar., Volume 18, 1987, pp. 229-239, P. Erdös, AM Odlyzko, On the density of odd integers of the form and related questions, J. Number Theory, Volume 11, 1979, pp. 257– 263 ${\displaystyle {\frac {(p-1)}{2^{k}}}}$