Matti Jutila (mathematician)

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Matti Jutila (Oberwolfach, 2008)

Matti Jutila (* 1943 ) is a Finnish mathematician who deals with analytical number theory. He is a professor at Turku University .

Life

Jutila received her PhD in 1970 under Kustaa Inkeri at the University of Turku ( On Two Theorems of Linnik Concerning the Zeros of Dirichlet's L-functions ). In 1977/78 and 1981 he was at the Mittag-Leffler Institute , in 1970 and 1988 at the Steklow Institute in Leningrad and in 1993 at the Nihon University in Tokyo . Among other things, he deals with exponential sums and the Riemann zeta function .

Jutila improved the value of the constant in Linnik's theorem several times over a bound for the smallest prime number p (d) in an arithmetic progression a, a + d, ..., a + dn (with a, d relatively prime and d <a , n any natural number) depending on d. Linnik proved in 1944 with constants c, L. The upper bounds for L (Linnik's constant) were lowered more and more over time (according to the status of 2011 to (Triantafyllos Xylouris, Dissertation Bonn 2011)), also several times by Jutila in the 1970s, so 1977 to 80.

Since 1982 he has been a member of the Finnish Academy of Sciences .

Kaisa Matomäki is one of his students .

Fonts

  • Lectures on a method in the theory of exponential sums , Tata Institute of Fundamental Research, Bombay, 1987
  • Zero density estimates for L-functions , Acta Arithmetica, Vol. 32, 1977, 52-62
  • with Henryk Iwaniec : Primes in short intervals . Arkiv für Matematik, Volume 17 (1979), 167-176
  • On the value distribution of the zeta-function on the critical line , Bull. London Math. Soc., Vol. 15 (1983), 513-518.
  • Zeros of the zeta-function near the critical line , in: Studies in Pure Mathematics to the Memory of Paul Turan, Birkhäuser 1983, pp. 385–394
  • Riemann's zeta-function and the divisor problem . Arkiv für Matematik, Volume 21 (1983), 75-96; Part 2 in Volume 31 (1993), 61-70
  • Transformation formulas for Dirichlet polynomials , J. Number Theory, Volume 18, 1984, 135-156
  • On exponential sums involving the divisor function , J. Reine Angew. Math., Volume 355: 173-190 (1985).
  • Mean value estimates for exponential sums , in; Number Theory, Ulm 1987, Lecture Notes in Mathematics 1380, Springer-Verlag 1989, pp. 120-137, part 2: Arch. Math., Volume 55, (1990), 267-274.
  • with Yōichi Motohashi : Mean value estimates for exponential sums and L-functions: a spectral theoretic approach . J. Reine Angew. Math. 459: 61-87 (1995)
  • The additive divisor problem and its analogs for Fourier coefficients of cusp forms I , Math. Zeitschrift, Volume 223 (1996), 435-461; Part 2, Volume 225 (1997), 625-637.

Web links

Individual evidence

  1. ↑ Matti Jutila in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Jutila On Linnik's constant , Math. Scand. 41 (1977), no. 1, pp. 45-62
personal data
SURNAME Jutila, Matti
BRIEF DESCRIPTION Finnish mathematician
DATE OF BIRTH 1943