A generalization of a fourth irreducibility theorem of I. Schur

Michael Filaseta; Martha Allen

doi:10.46298/hrj.2024.13075

Michael Filaseta ; Martha Allen - A generalization of a fourth irreducibility theorem of I. Schur

hrj:13075 - Hardy-Ramanujan Journal, February 19, 2024, Volume 46 - 2023 - https://doi.org/10.46298/hrj.2024.13075

A generalization of a fourth irreducibility theorem of I. SchurArticle

Authors: Michael Filaseta ¹; Martha Allen ²

1 University of South Carolina [Columbia]
2 Georgia College and State University

In 1929, Issai Schur investigated the irreducibility over the rationals of a few different polynomials. Generalizations of all but one were previously given in the literature, and this paper establishes a more general result of the last one.

https://doi.org/10.46298/hrj.2024.13075

Source: HAL:hal-04452699v1

Volume: Volume 46 - 2023

Published on: February 19, 2024

Imported on: February 19, 2024

Keywords: [MATH]Mathematics [math], [en] irreducible polynomial, theorem of Dumas, Schur, distribution of primes

Licence: Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)

Classifications

Mathematics Subject Classification 2020¹

Sources:

[1] zbMATH Open.

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