On the indices of multiquadratic number fields
Attila Pethő, Michael E. Pohst (2012)
Acta Arithmetica
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Attila Pethő, Michael E. Pohst (2012)
Acta Arithmetica
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Omar, Sami (2001)
Experimental Mathematics
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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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Jean-Paul Cerri, Jérôme Chaubert, Pierre Lezowski (2014)
Acta Arithmetica
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We study the Euclidean property for totally indefinite quaternion fields. In particular, we establish a complete list of norm-Euclidean such fields over imaginary quadratic number fields. This enables us to exhibit an example which gives a negative answer to a question asked by Eichler. The proofs are both theoretical and algorithmic.
Schehrazad Selmane (2002)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Humio Ichimura, Fuminori Kawamoto (2003)
Acta Arithmetica
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V. Sprindžuk (1974)
Acta Arithmetica
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Jeffrey L. Stuart (2016)
Czechoslovak Mathematical Journal
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M. D. Prešić (1970)
Matematički Vesnik
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Shabbir, Ghulam, Amur, Khuda Bux (2006)
APPS. Applied Sciences
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