Analytic Erdös-Turán conjectures and Erdös-Fuchs theorem
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3767 |
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| Summary: | 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 Erdös-Turán
conjectures in terms of supported series and extending to them a
version of Erdös-Fuchs theorem. |
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| ISSN: | 0161-1712 1687-0425 |