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Arithmetic functions in algebra, geometry and analysis
J. Sandor,E. Egri 장전수학회 2007 Advanced Studies in Contemporary Mathematics Vol.14 No.2
This is a survey paper on certain classical or new arithmetic functions with connections and/or applications in Algebra, Geometry or Analysis. We want to show the importance of certain parts of Number theory (especially, of arithmetical functions) to these major elds of Mathematics. The survey is focused especially on the author's results, and in the course of presentations, many new results (with proofs) will be pointed out, too.
ON CERTAIN IDENTITIES FOR MEANS, III
J. Sandor,E. Egri,R. Olah-Gal 장전수학회 2009 Advanced Studies in Contemporary Mathematics Vol.19 No.1
We offer certain in¯nite series representations of general integral means. As applications, we can reobtain in an unitary way, many known or new identities for special means, thus continuing and complementing results from parts I and II (see [9], [12]). As corollaries, many inequalities involving means are pointed out.