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**Zentralblatt MATH**

**Publications of (and about) Paul Erdös**

**Zbl.No: ** 709.11001

**Autor: ** Erdös, Paul

**Title: ** On some problems and results in elementary number theory. (In English)

**Source: ** J. Sichuan Univ., Nat. Sci. Ed. 26, Spec. Issue, 1-6 (1989).

**Review: ** The author reviews his friendship with Chao Ko, to whom this volume is dedicated on the occasion of his 80th birthday, and their joint papers, a.o. the well-known Erdös-Ko-Rado theorem which had great influence in extremal set theory, and Ko's result on the diophantine equation x^{x}y^{y} = z^{z}, x\ne 1, y\ne 1.

The remainder of the article is devoted to various problems and results in elementary number theory.

**Classif.: ** * 11-02 Research monographs (number theory)

00A07 Problem books

11B75 Combinatorial number theory

11D57 Multiplicative and norm form diophantine equations

05D05 Extremal set theory

**Keywords: ** Erdös-Ko-Rado theorem; extremal set theory; problems

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