Equidistribution Modulo 1
The generalisation of questions of the classic arithmetic has long been of interest. One line of questioning, introduced by Car in 1995, inspired by the equidistribution of the sequence nαn∈N where 0<α<1, is the study of the sequence K1/l, where K is a polynomial having an l-th root in the fie...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/1357859 |
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| Summary: | The generalisation of questions of the classic arithmetic has long been of interest. One line of questioning, introduced by Car in 1995, inspired by the equidistribution of the sequence nαn∈N where 0<α<1, is the study of the sequence K1/l, where K is a polynomial having an l-th root in the field of formal power series. In this paper, we consider the sequence L′1/l, where L′ is a polynomial having an l-th root in the field of formal power series and satisfying L′≡B mod C. Our main result is to prove the uniform distribution in the Laurent series case. Particularly, we prove the case for irreducible polynomials. |
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| ISSN: | 2314-4629 2314-4785 |