A Classical Diophantine Problem and Modular Forms of Weight 3/2.
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Displaying 1 – 17 of 17
A counterexample in the theory of local zeta functions.
Martin, Roland (1995)
Experimental Mathematics
A Gauss-Bonnet theorem for motivic cohomology.
S. Turner (1990)
Inventiones mathematicae
A motivic Chebotarev density theorem.
Dhillon, Ajneet, Mináč, Ján (2006)
The New York Journal of Mathematics [electronic only]
A new construction of -adic -functions attached to certain elliptic curves with complex multiplication
John L. Boxall (1986)
Annales de l'institut Fourier
In this paper we apply the results of our previous article on the -adic interpolation of logarithmic derivatives of formal groups to the construction of -adic -functions attached to certain elliptic curves with complex multiplication. Our results are primarily concerned with curves with supersingular reduction.
A note on functional equations for zeta functions with values in Chow motives
Franziska Heinloth (2007)
Annales de l’institut Fourier
We consider zeta functions with values in the Grothendieck ring of Chow motives. Investigating the –structure of this ring, we deduce a functional equation for the zeta function of abelian varieties. Furthermore, we show that the property of having a rational zeta function satisfying a functional equation is preserved under products.
A Note on Height Pairings, Tamagawa Numbers, and the Birch and Swinnerton-Dyer Conjecture.
S. Bloch (1980)
Inventiones mathematicae
A remark on a theorem of Chowla-Cowles.
Hideji Ito (1982)
Journal für die reine und angewandte Mathematik
A Remark on the Sato-Tate Conjecture.
A.P. OGG (1969/1970)
Inventiones mathematicae
Abelian varieties-Galois representation and properties of ordinary reduction
Rutger Noot (1995)
Compositio Mathematica
Absolute derivations and zeta functions.
Kurokawa, Nobushige, Ochiai, Hiroyuki, Wakayama, Masato (2003)
Documenta Mathematica
Algebraic cycles and values of L-functions.
Spencer Bloch (1984)
Journal für die reine und angewandte Mathematik
Algebraische Zyklen auf Hilbert-Blumenthal-Flächen.
G. Harder, R.P. Langlands (1986)
Journal für die reine und angewandte Mathematik
An analogue of the Weierstrass ζ-function in characteristic p
José Felipe Voloch (1997)
Acta Arithmetica
An explicit factorisation of the zeta functions of Dwork hypersurfaces
Philippe Goutet (2010)
Acta Arithmetica
Another Look at p-Adic L-Functions for Totally Real Fields.
Nicholas M. Katz (1981)
Mathematische Annalen
Arithmétique des courbes elliptiques et théorie d'Iwasawa
Bernadette Perrin-Riou (1984)
Mémoires de la Société Mathématique de France
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