ALGEBRAIC NUMBERS IN SHORT INTERVALS

F. GOETZE; H. G. HUSAKOVA

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ALGEBRAIC NUMBERS IN SHORT INTERVALS

F. GOETZE, H. G. HUSAKOVA

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Abstract

In this article we consider the distribution of algebraic numbers in very short intervals. The concept of a type of a short intervals is introduced. Depending on the type of the interval the estimations for the number of algebraic numbers within the interval are found.

Keywords

algebraic numbers, polynomial with integer coefficients, resultant, Lebesgue measure

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ISSN 1561-8323 (Print)
ISSN 2524-2431 (Online)

Doklady of the National Academy of Sciences of Belarus

ALGEBRAIC NUMBERS IN SHORT INTERVALS

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Abstract

Keywords

About the Authors

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Doklady of the National Academy of Sciences of Belarus

ALGEBRAIC NUMBERS IN SHORT INTERVALS

Full Text:

Abstract

Keywords

About the Authors

References

Review

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