Restricted set addition in Abelian groups : results and conjectures par

نویسندگان

  • Vsevolod F. LEV
  • Vsevolod F. Lev
چکیده

We present a system of interrelated conjectures which can be considered as restricted addition counterparts of classical theorems due to Kneser, Kemperman, and Scherk. Connections with the theorem of Cauchy-Davenport, conjecture of ErdősHeilbronn, and polynomial method of Alon-Nathanson-Ruzsa are discussed. The paper assumes no expertise from the reader and can serve as an introduction to the subject.

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تاریخ انتشار 2005