Some estimates for diagonal equations over p-adic fields
M. Dodson (1982)
Acta Arithmetica
Similarity:
Displaying similar documents to “Differential equations which come from geometry”
Some estimates for diagonal equations over p-adic fields
Artin's conjecture for septic and unidecic forms
Trevor D. Wooley (2008)
Acta Arithmetica
Similarity:
On ordinary linear -adic differential equations with algebraic function coefficients
Bernard Dwork (1975-1976)
Groupe de travail d'analyse ultramétrique
Similarity:
Refined theorems of the Birch and Swinnerton-Dyer type
Ki-Seng Tan (1995)
Annales de l'institut Fourier
Similarity:
In this paper, we generalize the context of the Mazur-Tate conjecture and sharpen, in a certain way, the statement of the conjecture. Our main result will be to establish the truth of a part of these new sharpened conjectures, provided that one assume the truth of the classical Birch and Swinnerton-Dyer conjectures. This is particularly striking in the function field case, where these results can be viewed as being a refinement of the earlier work of Tate and Milne.
-adic Abelian Stark conjectures at
David Solomon (2002)
Annales de l’institut Fourier
Similarity:
A -adic version of Stark’s Conjecture at is attributed to J.-P. Serre and stated (faultily) in Tate’s book on the Conjecture. Building instead on our previous paper (and work of Rubin) on the complex abelian case, we give a new approach to such a conjecture for real ray-class extensions of totally real number fields. We study the coherence of our -adic conjecture and then formulate some integral refinements, both alone and in combination with its complex analogue. A ‘Weak Combined...
On ruled fields
Jack Ohm (1989)
Journal de théorie des nombres de Bordeaux
Similarity:
Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.
Report on Diophantine approximations
Serge Lang (1965)
Bulletin de la Société Mathématique de France
Similarity: