Analytic Erdös-Turán conjectures and Erdös-Fuchs theorem | Zendy

Labib Haddad | Zendy; Charles Hélou | Zendy; Jukka Pihko | Zendy

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Analytic Erdös-Turán conjectures and Erdös-Fuchs theorem

Author(s) -

Labib Haddad,

Charles Hélou,

Jukka Pihko

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.3767

Subject(s) - mathematics , series (stratigraphy) , power series , bounded function , similarity (geometry) , analogy , constant (computer programming) , zero (linguistics) , discrete mathematics , combinatorics , pure mathematics , mathematical analysis , paleontology , linguistics , philosophy , artificial intelligence , computer science , image (mathematics) , biology , programming language

We consider and study formal power series, that we call supported series, with real coefficients which are either zero or bounded below by some positive constant. The sequences of such coefficients have a lot of similarity with sequences of natural numbers considered in additive number theory. It is this analogy that we pursue, thus establishing many properties and giving equivalent statements to the well-known ErdÃƒÂ¶s-TurÃƒÂ¡n conjectures in terms of supported series and extending to them a version of ErdÃƒÂ¶s-Fuchs theorem

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