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

Zudilin, W.

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

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 0.5803^k.

History

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