“Jean-Louis Nicolas”的意思、由来-开放百科全书

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

Nicolas earned his Ph.D. in 1968 as a student of Charles Pisot.^[5] He works at Claude Bernard University Lyon 1.^[6]

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.^[7]

References

1. ^{{citation | last = De Koninck | first = Jean-Marie | isbn = 978-0-8218-4807-4 | page = 141 | title = Those Fascinating Numbers | year = 2009}}
2. ^List of collaborators of Erdős by number of joint papers {{webarchive|url=https://web.archive.org/web/20080804180523/http://www.oakland.edu/enp/Erdos0p |date=2008-08-04 }}, from the Erdős number project web site.
3. ^¹{{citation | last = Sárközy | first = A. | doi = 10.1007/s11139-005-0820-x | issue = 1-2 | journal = The Ramanujan Journal | mr = 2166373 | pages = 7–17 | title = Jean-Louis Nicolas and the partitions | volume = 9 | year = 2005}}.
4. ^{{citation | last1 = Ribenboim | first1 = Paulo | authorlink = Paulo Ribenboim | title = The New Book of Prime Number Records | publisher = Springer | location = New York | page = 320 | year = 1996 | isbn = 0-387-94457-5}}.
5. ^{{mathgenealogy|id=65866}}
6. ^Jean-Louis Nicolas, Claude Bernard University Lyon 1, retrieved 2015-01-13.
7. ^{{citation|author=Editors|title=Preface|journal=The Ramanujan Journal|volume=9|year=2005|issue=1-2|page=5|doi=10.1007/s11139-005-0819-3}}.