Gregory A. Freiman

The Raymond and Beverly Sackler Faculty of Exact Sciences

School of Mathematical Sciences

Tel Aviv University

Ramat Aviv, Tel Aviv 69978

Israel

+972-3-6408034 (office phone)

+972-3-6409357 (department fax)

+972-77-6260901 (home phone from outside Israel)

Email: grisha@post.tau.ac.il

Research Interests

• Inverse Additive Number Theory

Results and Problems

• G. A. Freiman: Structure Theory of Set Addition.
  Astérisque No. 258 (1999), xi, 1-33, Abstract
  MR1701187(2000j:11147)

• G. A. Freiman: Structure Theory of Set Addition. II. Results and Problems.
  Paul Erdös and his mathematics, I (Budapest, 1999), 243-260,
  Bolyai Soc. Math. Stud.,11, Janos Bolyai Math. Soc., Budapest, 2002.
  MR1954695 (2004c:11190)

List of Publications

Recent Papers

• G. A. Freiman and A.A. Yudin: The interface between Probability Theory and Additive Number Theory (Local Limit Theorems and Structure theory of Set Addition), Amer. Math. Soc. Transl. (2) Vol. 217, 2006, 51-72.

• Jean-Marc Deshouillers and G. A. Freiman: On sum free sets modulo p, Functiones et Approximatio, XXXV (2006), 51-59.

• G. A. Freiman and Yonutz V. Stanchescu: On a Kakeya-type problem, Functiones et Approximatio Commentarii Mathematici XXXVII (2007), part 1, 131-148.

Papers to appear

• G. A. Freiman: Inverse Additive Number Theory. XI. On the detailed structure of sets with small additive property.

Papers in preparation

• G. A. Freiman and A.A. Yudin: About the Measure of Large Values of the Modulo of Trigonometric Sum.

Useful links

• Structure Theory of Set Addition
  Jean-Marc Deshouillers, Bernard Landreau, Alexander A. Yudin (Ed.),
  Astérisque 258 (1999), Société Mathematique de France, Paris, 458 pages, Abstract, MR1701186 (2000b:11005).

• Melvyn B. Nathanson:
  Additive Number Theory. Inverse Problems and the Geometry of Sumsets,
  Springer-Verlag, GTM, Vol. 165, 1996, MR1477155(98f:11011).

• W. T. Gowers:
  A New Proof of Szemeredi's Theorem for Arithmetic Progressions of Length Four,
  GAFA, Geom. Funct. Anal., Vol. 8 (1998), no. 3, 529-551, MR1631259 (2000d:11019).

• Terence Tao and Van H. Vu: Additive Combinatorics,
  Cambridge Studies in Advanced Mathematics, 105. Cambridge University Press, Cambridge, 2006., MR2289012 (2008a:11002).

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