On explicit formulas for the number of solutions to the equation in a finite field.
Baulina, Yu.N. (2003)
Sibirskij Matematicheskij Zhurnal
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Baulina, Yu.N. (2003)
Sibirskij Matematicheskij Zhurnal
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Robertson, John P. (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Pukhnachev, V.V. (2002)
Sibirskij Matematicheskij Zhurnal
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G. Griffith Elder, Jeffrey J. Hooper (2007)
Journal de Théorie des Nombres de Bordeaux
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This paper provides a complete catalog of the break numbers that occur in the ramification filtration of fully and thus wildly ramified quaternion extensions of dyadic number fields which contain (along with some partial results for the more general case). This catalog depends upon the , which as defined in [] is associated with the biquadratic subfield. Moreover we find that quaternion counter-examples to the conclusion of the Hasse-Arf Theorem are extremely rare and can occur only...
Po-Yi Huang (2006)
Journal de Théorie des Nombres de Bordeaux
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In this paper, under a mild hypothesis, we prove a conjecture of Gross for the Stickelberger element of the maximal abelian extension over the rational function field unramified outside a set of four degree-one places.
Antone Costa (1992)
Acta Arithmetica
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Borovkov, A.A. (2002)
Sibirskij Matematicheskij Zhurnal
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Robertson, John P. (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Wayne McDaniel (1993)
Colloquium Mathematicae
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