Processing math: 0%

Wykorzystujemy pliki cookies aby ułatwić Ci korzystanie ze strony oraz w celach analityczno-statystycznych.

A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Criteria for the integrality of th roots of power series

Volume 215 / 2024

John Pomerat, Armin Straub Acta Arithmetica 215 (2024), 1-10 MSC: Primary 11B75; Secondary 13F25 DOI: 10.4064/aa230425-4-4 Published online: 19 June 2024

Abstract

Heninger, Rains and Sloane raised the question of which power series with integer coefficients can be written as the nth power of another power series with integer coefficients and constant term 1. We provide necessary and sufficient conditions, as well as compare them with a general integrality criterion due to Dieudonné and Dwork that can be applied to this question as well.

Authors

  • John PomeratDepartment of Mathematics and Statistics
    University of South Alabama
    Mobile, AL 36688, USA
    e-mail
  • Armin StraubDepartment of Mathematics and Statistics
    University of South Alabama
    Mobile, AL 36688, USA
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image