The Department of Mathematics organises the 12th session of the Distinguished Lecture Series on January 23, 2025. Renowned French mathematician, Prof. Jean-Marc Deshouillers will deliver the keynote session on the topic “Pairwise co-primality of consecutive elements from sequences with polynomial growth.”
Abstract
The study of the coprimality of elements from sequences with polynomial growth (e.g. $(lfloor alpha n rfloor)_n$ or SPS sequences $(lfloor n^c rfloor)_n$ goes back to Evans (1953), Lambek and Moser (1955). I shall give a short outline of recent developments obtained jointly with M. Drmota and C. M”{u}llner and with S. Naik.
About the Speaker
Jean-Marc Deshouillers (born September 12, 1946, in Paris) is a French mathematician specializing in analytic number theory. He is a professor at the University of Bordeaux. Deshouillers attended the Paris École Polytechnique, graduating with an engineering diploma in 1968. He received his PhD in 1972 at the University Paris VI Pierre et Marie Curie. In the seventies, he was an Assistant Professor of Mathematics at the École Polytechnique, which moved from Paris to Palaiseau. Deshouillers is a professor at the University of Bordeaux. In 2009, he was at the Institute for Advanced Study.
In 1985, he showed with Ramachandran Balasubramanian and François Dress that, in the case of Waring’s problem’s fourth powers, the least number of fourth powers necessary to express any positive integer as a sum of fourth powers is 19.
Join the session and learn from the maestro!