## Quick Facts

Intro | American mathematician |

Is | Mathematician Computer scientist Educator |

From | United States of America |

Field | Academia Mathematics Technology Science |

Gender | male |

Birth | 23 July 1949, Tarnów, Lesser Poland Voivodeship, Poland |

Age | 73 years |

Star sign | Leo |

## Biography

**Andrew Michael Odlyzko** (born 23 July 1949) is a mathematician and a former head of the University of Minnesota's Digital Technology Center and of the Minnesota Supercomputing Institute.

## Work in mathematics

Odlyzko received his B,S, and M.S. in mathematics from the California Institute of Technology and his Ph.D. from the Massachusetts Institute of Technology in 1975. In the field of mathematics he has published extensively on analytic number theory, computational number theory, cryptography, algorithms and computational complexity, combinatorics, probability, and error-correcting codes. In the early 1970s, he was a co-author (with D. Kahaner and Gian-Carlo Rota) of one of the founding papers of the modern umbral calculus. In 1985 he and Herman te Riele disproved the Mertens conjecture. In mathematics, he is probably known best for his work on the Riemann zeta function, which led to the invention of improved algorithms, including the Odlyzko–Schönhage algorithm, and large-scale computations, which stimulated extensive research on connections between the zeta function and random matrix theory.

## Work on electronic communication

More recently, he has worked on communication networks, electronic publishing, economics of security and electronic commerce.

In 1998, he and Kerry Coffman were the first to show that one of the great inspirations for the Internet bubble, the myth of "Internet traffic doubling every 100 days," was false.

In the paper "Content is Not King", published in *First Monday* in January 2001, he argues that

- the entertainment industry is a small industry compared with other industries, notably the telecommunications industry;
- people are more interested in communication than entertainment;
- and therefore that entertainment "content" is not the killer app for the Internet.

In 2012 he became a fellow of the International Association for Cryptologic Research and in 2013 of the American Mathematical Society.

### Network value

In the paper "Metcalfe's Law is Wrong", Andrew Odlyzko argues that the incremental value of adding one person to network of *n* people is approximately the *n*th harmonic number, so the total value of the network is approximately *n* log *n*. Since this curves upward (unlike Sarnoff's law), it implies that Metcalfe's conclusion – that there is a critical mass in networks, leading to a network effect – is qualitatively correct. But since this linearithmic function does not grow as rapidly as Metcalfe's law, it implies that many of the quantitative expectations based on Metcalfe's law were excessively optimistic.

For example, by Metcalfe, if a hypothetical network of 100,000 members has a value of $1M, doubling its membership would increase its value (200,000^{2}/100,000^{2}) times, or in other words quadruple to $4M.

However, per Odlyzko, that its value would only grow by 200,000 log (200,000) / 100,000 log(100,000) times, or in other words, slightly more than double to $2.1M.