Explicit incidence bounds over general finite fields
Timothy G. F. Jones (2011)
Acta Arithmetica
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Timothy G. F. Jones (2011)
Acta Arithmetica
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Sofiène Bessassi (2003)
Acta Arithmetica
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V. Budrevich, Mikhail, E. Guterman, Alexander (2012)
Serdica Mathematical Journal
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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...
F. Constantinescu, J. G. Taylor (1973)
Recherche Coopérative sur Programme n°25
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Enrico Bombieri, Julia Mueller, Umberto Zannier (2001)
Acta Arithmetica
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Jeffrey L. Stuart (2016)
Czechoslovak Mathematical Journal
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Przemyslaw Koprowski (2002)
Colloquium Mathematicae
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We examine the conditions for two algebraic function fields over global fields to be Witt equivalent. We develop a criterion solving the problem which is analogous to the local-global principle for Witt equivalence of global fields obtained by R. Perlis, K. Szymiczek, P. E. Conner and R. Litherland [12]. Subsequently, we derive some immediate consequences of this result. In particular we show that Witt equivalence of algebraic function fields (that have rational places) over global fields...
Shabbir, Ghulam, Amur, Khuda Bux (2006)
APPS. Applied Sciences
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Grzegorz Łubczonok (1981)
Colloquium Mathematicae
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M. D. Prešić (1970)
Matematički Vesnik
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Krzysztof Jan Nowak (1996)
Annales Polonici Mathematici
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This paper presents a natural axiomatization of the real closed fields. It is universal and admits quantifier elimination.
W. J. Ellison (1970-1971)
Séminaire de théorie des nombres de Bordeaux
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Arne Winterhof (2001)
Acta Arithmetica
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Paulo Ribenboim (1992)
Manuscripta mathematica
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Attila Pethő, Michael E. Pohst (2012)
Acta Arithmetica
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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
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V. Sprindžuk (1974)
Acta Arithmetica
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