Gábor Halász (mathematician)

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Gábor Halász (born December 25, 1941 in Budapest ) is a Hungarian mathematician who deals with analytical number theory.

Halasz was at the Mathematical Institute of the Hungarian Academy of Sciences and taught at the Lorand Eötvös University in Budapest.

In 1968/1971 he proved a theorem about the upper bound of mean values ​​of multiplicative number theoretic functions with values ​​in the unit disk. The Halász-Montgomery inequality is named after him and Hugh Montgomery (sometimes just named after Halasz). This work later formed the basis for the pretentious approach to analytical number theory by Andrew Granville and K. Soundararajan .

With Pál Turán he proved theorems about the distribution of the zeros of the Riemann zeta function .

In 1971 he was at the Institute for Advanced Study .

In 1971 he received the Alfréd Rényi Prize, in 1965 and 1967 the Grünwald Prize and in 1975 the Mathematics Prize of the Hungarian Academy of Sciences. He is a member of the Hungarian Academy of Sciences.

With Laszlo Lovasz , Miklós Simonovits and Vera T. Sós he edited a book on mathematics by Paul Erdös , with which he also published.

Fonts (selection)

Unless listed in the main part.

  • Editor with Vera Sós: Irregularities of partitions, Springer 1989

Individual evidence

  1. ↑ Halasz, On the Means of Multiplicative Number Theoretic Functions, Acta Math. Acad. Sci. Hung., Volume 19, 1968, pp. 365-403
  2. ^ Halasz, On the distribution of additive and the mean value of multiplicative arithmetic functions, Studia Sci. Math. Hung., Volume 6, 1971, pp. 211-233
  3. ↑ Terry Tao , A cheap version of Halasz's inequality
  4. ↑ Halasz, Turan: On the distribution of roots of Riemann Zeta and allied functions, Journal of Number Theory, Volume 1, 1969, pp. 121-137
  5. ^ Entry by Halasz at the IAS
  6. ↑ Lovasz et al. a., Paul Erdös and his mathematics, 2 volumes, Springer, 2002


personal data
SURNAME Halász, Gábor
BRIEF DESCRIPTION Hungarian mathematician
DATE OF BIRTH December 25, 1941
PLACE OF BIRTH Budapest