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Small things stir up great

said in Arabian Nights, and perhaps in Mathematics as well

Yoichi Motohashi 

Professor of Mathematics

Nihon University, Surugadai, Tokyo 101-8308

Foreign member of the Finnish Academy of Science and Letters

Honorary Fellow of the Hardy-Ramanujan Society

Ph.D. (Tokyo University)

Ph.D. honoris causa (Turku University)

AppleMark

By Kazuko Motohashi

Graduated from Department of Mathematics, Kyoto University, 1966; Enchanted with Analytic Number Theory in boyhood and further via the encounter with the late Prof. P. Turan (Budapest 1970-72)

 

List of Academic works:         English version                   Japanese version

 

Latest works:

(1) Analytic Number Theory I – The Distribution of Prime Numbers    Published by Asakura, Tokyo , ISBN 978-4-254-11821-6  (Japanese)

(2) Chapter 6 : Appendix      http://arxiv.org/abs/arXiv:0810.2847v1

(3) Talk report. MF Oberwolfach, March 2008  mfo082.dvi

(4) Talk report. RIMS Kyoto Universoty, October 2007 rims07.dvi

(5) The Riemann zeta-function and Hecke congruence subgroups. II  (arXiv: 0709.2590 [math.NT])

(6) A note on the mean value of the zeta and L-functions. XV  (Proc. Japan Acad., 83A (2007))

(7) Sums of Kloosterman sums revisited  (The Conf. on L-functions, World Scientific (2007))

(8) Mean values of zeta-functions via representation theory (Proc. Symp. Pure Math. AMS, 75 (2006))

(9) Uniform bound for Rankin-Selberg L-functions  (Proc. Symp. Pure Math, AMS, 75 (2006), with M. Jutila)

(10) The moments of the Riemann zeta-function. Part I: The fourth moment off the critical line

(Funct. et Approx., 35(2006), with A. Ivic)

(11) Small gaps between primes exist  (Proc. Japan Acad., 82A (2006), with D. Goldston, J. Pintz, and C. Yildirim) 

(12) A smoothed GPY sieve (arXiv: math.NT/0602599, with J. Pintz)

(13) Uniform bound for Hecke L-functions  (Acta Math., 195 (2005), with M. Jutila)

(14) An overview of the sieve method and its history (revised)  (arXiv: math.NT/0505521)  

(15) Prime numbers -  your gems (public talk at Technion, Haifa)  (arXiv: math.NT/0512143 )

 

Essay in Japanese:

 On the wing of prime numbers   MSJ

 

Copyrighted by Y. Motohashi, 17 December 2009