A new lower bound for ||(3/2)k||

Zudilin, W.

A new lower bound for ||(3/2)k||

https://hdl.handle.net/1959.13/934859
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journal contribution

posted on 2025-05-10, 23:51 authored by W. Zudilin

We prove that, for all integers k exceeding some effectively computable number K, the distance from (3/2)k to the nearest integer is greater than 0.5803k.

History

Related Materials

1.
DOI - Is published in https://doi.org/10.5802/jtnb.588
2.
ISSN - Is version of https://portal.issn.org/resource/ISSN/1246-7405

Journal title

Journal de Theorie des Nombres de Bordeaux

Volume

19

Issue

1

Pagination

311-323

Publisher

Universite de Bordeaux I, Centre de Recherces en Mathematiques

Place published

Cedex, France

Language

en, English

College/Research Centre

Faculty of Science

School

School of Mathematical and Physical Sciences

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Keywords

integers mathematics )k

A new lower bound for ||(3/2)<sup>k</sup>||