PUBLICATIONS, Matti Jutila


Monograph

  • "Lectures on a method in the theory of exponential sums". Tata Institute of Fundamental Research, Lectures on Mathematics and Physics vol. 80, Bombay 1987.

    Selected articles, before 1990

  • On character sums and class numbers. J. Number Theory 5 (1973) 203-214.
  • Zero-density estimates for L-functions. Acta Arith. 32 (1977), 55-62.
  • Primes in short intervals. Arkiv für Matematik 17 (1979), 167-176 (with H. Iwaniec).
  • On the mean value of L(1/2,\chi ) for real characters. Analysis 1 (1981), 149-161.
  • On a formula of Atkinson. Coll. Math. Soc. Janos Bolyai 34 (1981), 807-823.
  • On the value distribution of the zeta-function on the critical line. Bull. London Math. Soc.15 (1983), 513-518.
  • Zeros of the zeta-function near the critical line. Studies in Pure Mathematics to the Memory of Paul Turan, 385-394, Birkhäuser 1983.
  • Riemann's zeta-function and the divisor problem. Arkiv für Matematik 21 (1983), 75-96; part II ibid. 31 (1993), 61-70.
  • Transformation formulae for Dirichlet polynomials. J. Number Theory 18 (1984), 135-156.
  • On exponential sums involving the divisor function. J. Reine Angew. Math. 355 (1985), 173-190.
  • On the approximate functional equation for \zeta^2(s). and other Dirichlet series. Quart. J. Math. Oxford (2) 37 (1986), 193-209.
  • On exponential sums involving the Ramanujan function. Proc. Indian Acad. Sci., Math. Sci. 97 (1987), 157-166.
  • The fourth power moment of the Riemann zeta-function over a short interval. Coll. Math. Soc. Janos Bolyai 51 (1987), 221-244.
  • Mean value estimates for exponential sums. Number Theory, Ulm 1987, 120-136, Lecture Notes in Mathematics 1380, Springer-Verlag 1989.

    Recent articles

  • Exponential sums connected with quadratic forms. Number Theory, The First Conference of the Canadian Number Theory Association, Banff 1988, 271-286, Walter de Gruyter 1990.
  • Mean value estimates for exponential sums II. Arch. Math. 55, (1990),267-274.
  • Mean value estimates for exponential sums with applications to L-functions. Acta Arith. 57(1991), 93-114.
  • Transformations of exponential sums. Proc. Amalfi Conference on Analytic Number Theory, Maiori 1989, 263-270, Univ. Salerno 1993.
  • The additive divisor problem and exponential sums. Third Conference of the Canadian Number Theory Association, Kingston 1991, 113-135, Oxford University Press 1993.
  • Mean value estimates for exponential sums and L-functions: a spectral theoretic approach. J. Reine Angew. Math. 459 (1995), 61-87 (with Y. Motohashi).
  • The fourth moment of Riemann's zeta-function and the additive divisor problem. Analytic Number Theory: Proceedings of a Conference in Honor of Heini Halberstam, Vol. 2, 517-536. Birkhäuser 1996.
  • The additive divisor problem and its analogs for Fourier coefficients of cusp forms I. Math. Z. 223 (1996), 435-461; part II ibid. 225 (1997), 625-637.
  • A variant of the circle method. Sieve methods, exponential sums and their applications in number theory, 245-254. Cambridge University Press 1996.
  • Mean values of Dirichlet series via Laplace transforms. Analytic Number Theory (ed. Y. Motohashi), 169-207. London Math. Soc. Lecture Notes Series 247, Cambridge University Press 1997.
  • Atkinson's formula revisited. Voronoi's Impact on Modern Science. Book I, 137-154. National Academy of Sciences of Ukraine, Institute of Mathematics, Kiev 1998.
  • Convolutions of Fourier coefficients of cusp forms. Publ. de l'Institut Mathematique 65 (79) (1999), 31-51.