On reducible trinomials

Taras Banakh, Fedor Bogomolov, Andrij Gatalevych, Ihor Guran, Yurij Ishchuk, Mykola Komarnytskyi, Igor Kuz, Ivanna Melnyk, Vasyl Petrychkovych, Yaroslav Prytula, Oleh Romaniv, Oleh Skaskiv, Ludmyla Stakhiv, Georgiy Sullym, Bohdan Zabavskyi, Volodymir Zelisko, Mykhajlo Zarichnyi (2013)

Open Mathematics

Similarity:

On the Gibson Bounds over Finite Fields

V. Budrevich, Mikhail, E. Guterman, Alexander (2012)

Serdica Mathematical Journal

Similarity:

2010 Mathematics Subject Classification: 15A15, 15A04. We investigate the Pólya problem on the sign conversion between the permanent and the determinant over finite fields. The main attention is given to the sufficient conditions which guarantee non-existence of sing-conversion. In addition we show that F3 is the only field with the property that any matrix with the entries from the field is convertible. As a result we obtain that over finite fields there are no analogs of...

The Algebraic nature of the elementary theory of PRC fields.

Moshe Jarden (1988)

Manuscripta mathematica

Similarity:

On a universal axiomatization of the real closed fields

Krzysztof Jan Nowak (1996)

Annales Polonici Mathematici

Similarity:

This paper presents a natural axiomatization of the real closed fields. It is universal and admits quantifier elimination.

On the abc conjecture in algebraic number fields

K. Győry (2008)

Acta Arithmetica

Similarity:

On Absolute Class Fields of Certain Algebraic Number Fields.

Taira Honda (1960)

Journal für die reine und angewandte Mathematik

Similarity: