Yōichi Motohashi

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Yōichi Motohashi, Oberwolfach 2008

Yōichi Motohashi ( Japanese 本 橋 洋 一 , Motohashi Yōichi ; * February 21, 1944 ) is a Japanese mathematician who deals with analytical number theory. He is a professor at Nihon University in Tokyo.

Life

Motohashi graduated from Kyoto University in 1966 with a degree in mathematics , where he received his doctorate in 1974.

Motohashi is particularly concerned with the Riemann zeta function and worked with Matti Jutila and with Dan Goldston , János Pintz and Cem Yildirim on the simplification of the proof of their theorem about the asymptotic distance of successive prime numbers.

He is an external member of the Finnish Academy of Sciences and an honorary doctorate from the University of Turku .

Fonts

  • Analytical number theory . Volume 1: The Distribution of Prime Numbers (Japanese). Asakura Books, Tokyo 2009, Volume 2: Zeta Analysis (Japanese), 2011
  • The Riemann zeta function and automorphic waves (Japanese). Kyouritu Publ., Tokyo 1999
  • Spectral theory of the Riemann Zeta-Function . Cambridge University Press 1997
  • Sieve methods and prime number theory . Tata Institute of Fundamental Research, Springer Verlag, 1983
  • Riemann-Siegel Formula . University of Colorado, Boulder 1987
  • Editor: Analytic number theory . In: London Mathematical Society Lecture Note , Series 247, Cambridge University Press, 1997 (therein by Motohashi: Trace formula over the hyperbolic upper half space )
  • Spectral analysis of the zeta and L-functions , 2012, arxiv : 1203.0269
  • An overview of the sieve method and its history . 2005, arxiv : math / 0505521
  • The twin prime conjecture , 2014, arxiv : 1401.6614
  • Prime numbers -your gems , 2005, arxiv : math / 0512143

Web links

Individual evidence

  1. Yōichi Motohashi: Academic Works (PDF)
  2. Goldston, Motohashi, Pintz, Yildirim: Small gaps between primes exist . ( Memento of the original from August 29, 2017 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. In: Proc. Japan Acad. Sci., 82, 2006, pp. 61-65 @1@ 2Template: Webachiv / IABot / projecteuclid.org