Jean-Louis Nicolas is a French number theorist.

He is the namesake (with Paul Erdős) of the Erdős–Nicolas numbers,[1][2] and was a frequent co-author of Erdős,[3] who would take over the desk of Nicolas' wife Anne-Marie (also a mathematician) whenever he would visit.[4] Nicolas is also known for his research on integer partitions,[4] and for his unusual proof that there exist infinitely many n for which

where is Euler's totient function and γ is Euler's constant: he proved this bound unconditionally by providing two different proofs, one in the case that the Riemann hypothesis holds and another in the case that it fails.[5]

Nicolas earned his Ph.D. in 1968 as a student of Charles Pisot.[6] He works at Claude Bernard University Lyon 1.[7]

A conference in honor of Nicolas' 60th birthday was held on January 14–19, 2002 at the Centre International de Rencontres Mathématiques in Marseille. The proceedings of the conference were published as a festschrift in The Ramanujan Journal.[8]

References

  1. ^ De Koninck, Jean-Marie (2009), Those Fascinating Numbers, p. 141, ISBN 978-0-8218-4807-4
  2. ^ Erdős, P.; Nicolas, J.L. (1975), "Répartition des nombres superabondants" (PDF), Bull. Soc. Math. France, 79 (103): 65–90, doi:10.24033/bsmf.1793, Zbl 0306.10025
  3. ^ List of collaborators of Erdős by number of joint papers Archived 2008-08-04 at the Wayback Machine, from the Erdős number project web site.
  4. ^ a b Sárközy, A. (2005), "Jean-Louis Nicolas and the partitions", The Ramanujan Journal, 9 (1–2): 7–17, doi:10.1007/s11139-005-0820-x, MR 2166373, S2CID 119401679.
  5. ^ Ribenboim, Paulo (1996), The New Book of Prime Number Records, New York: Springer, p. 320, ISBN 0-387-94457-5.
  6. ^ Jean-Louis Nicolas at the Mathematics Genealogy Project
  7. ^ Jean-Louis Nicolas, Claude Bernard University Lyon 1, retrieved 2015-01-13.
  8. ^ "Preface", The Ramanujan Journal, 9 (1–2): 5, 2005, doi:10.1007/s11139-005-0819-3.
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