On a Fermat Equation Arising in the Arithmetic Theory of Function Fields.
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Displaying 1 – 20 of 45
On a Galois extension with restricted ramification related to the Selmer group of an elliptic curve with complex multiplication.
Kay Wingberg (1991)
Journal für die reine und angewandte Mathematik
On a problem of Dvornicich and Zannier
Pierre Dèbes (1995)
Acta Arithmetica
On a theorem by Kronecker.
M.A. Ostrowski (1976)
Aequationes mathematicae
On a Theorem of M. Deuring and I.R. Safarevic.
Manohar L. Madan (1977/1978)
Manuscripta mathematica
On a tower of Ihara and its limit
Nicolás Caro, Arnaldo Garcia (2012)
Acta Arithmetica
On an analogue of a conjecture of Gross.
Manohar L. Madan, G. Villa Salvador (1988)
Manuscripta mathematica
On Artin-Verdier Duality for Function Fields.
Christopher Deninger (1984/1985)
Mathematische Zeitschrift
On Chebyshev polynomials and maximal curves
Arnaldo Garcia, Henning Stichtenoth (1999)
Acta Arithmetica
On Davenport's bound for the degree of f³ - g² and Riemann's Existence Theorem
Umberto Zannier (1995)
Acta Arithmetica
On dihedral algebraic function fields
Wilson Zúniga (1993)
Revista colombiana de matematicas
On elementary equivalence, isomorphism and isogeny
Pete L. Clark (2006)
Journal de Théorie des Nombres de Bordeaux
Motivated by recent work of Florian Pop, we study the connections between three notions of equivalence of function fields: isomorphism, elementary equivalence, and the condition that each of a pair of fields can be embedded in the other, which we call isogeny. Some of our results are purely geometric: we give an isogeny classification of Severi-Brauer varieties and quadric surfaces. These results are applied to deduce new instances of “elementary equivalence implies isomorphism”: for all genus zero...
On equations in two S-units over function fields of characteristic 0
Jan-Hendrik Evertse (1986)
Acta Arithmetica
On Geometric Zp-Extensions of Function Fields.
R. Gold, H. Kisilevsky (1988)
Manuscripta mathematica
On periods and quasi-periods of Drinfeld modules
Jing Yu (1990)
Compositio Mathematica
On places of algebraic function fields.
A. Prestel, F.-V. Kuhlmann (1984)
Journal für die reine und angewandte Mathematik
On Quadratic forms isotropic over the function field of a comic.
Markus Rost (1990)
Mathematische Annalen
On ray class annihilators of cyclotomic function fields
Sunghan Bae, Hwanyup Jung (2011)
Acta Arithmetica
On ruled fields
Jack Ohm (1989)
Journal de théorie des nombres de Bordeaux
Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.
On singular moduli for rank 2 Drinfeld modules
David R. Dorman (1991)
Compositio Mathematica
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