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Displaying 121 – 134 of 134

Transformation de Fourier homogène

Gérard Laumon (2003)

Bulletin de la Société Mathématique de France

Dans leur démonstration de la correspondance de Drinfeld-Langlands, Frenkel, Gaitsgory et Vilonen utilisent la transformation de Fourier géométrique, ce qui les oblige à travailler soit avec les faisceaux $ℓ$ -adiques en caractéristique $p > 0$ , soit avec les $𝒟$ -Modules en caractéristique $0$ . En fait, ils n’utilisent cette transformation de Fourier géométrique que pour des faisceaux homogènes pour lesquels on s’attend à avoir une transformation de Fourier sur $ℤ$ . L’objet de cette note est de proposer une telle...

Travaux de Frenkel, Gaitsgory et Vilonen sur la correspondance de Drinfeld-Langlands

Gérard Laumon (2001/2002)

Séminaire Bourbaki

Travaux de Kolyvagin et Rubin

Bernadette Perrin-Riou (1989/1990)

Séminaire Bourbaki

Travaux de Shimura et Taniyama sur la multiplication complexe

Pierre Samuel (1954/1956)

Séminaire Bourbaki

Travaux de Wiles (et Taylor, ...), partie I

Jean-Pierre Serre (1994/1995)

Séminaire Bourbaki

Travaux de Wiles (et Taylor, ...), partie II

Joseph Oesterlé (1994/1995)

Séminaire Bourbaki

Traverso’s Isogeny Conjecture for $p$ -Divisible Groups

Marc-Hubert Nicole, Adrian Vasiu (2007)

Rendiconti del Seminario Matematico della Università di Padova

Triples of Positive Integers with the same Sum and the same Product

Schinzel, A. (1996)

Serdica Mathematical Journal

It is proved that for every k there exist k triples of positive integers with the same sum and the same product.

Trivial points on towers of curves

Xavier Xarles (2013)

Journal de Théorie des Nombres de Bordeaux

In order to study the behavior of the points in a tower of curves, we introduce and study trivial points on towers of curves, and we discuss their finiteness over number fields. We relate the problem of proving that the only rational points are the trivial ones at some level of the tower, to the unboundeness of the gonality of the curves in the tower, which we show under some hypothesis.

Trivial Selmer groups and even partitions of a graph.

Brown, Morgan V., Calkin, Neil J., James, Kevin, King, Adam J., Lockard, Shannon, Rhoades, Robert C. (2006)

Integers

Tuples of hyperelliptic curves y² = xⁿ+a

Tomasz Jędrzejak, Jaap Top, Maciej Ulas (2011)

Acta Arithmetica

Twisted exponential sums over points of elliptic curves

Alina Ostafe, Igor E. Shparlinski (2011)

Acta Arithmetica

Twists of Hessian Elliptic Curves and Cubic Fields

Katsuya Miyake (2009)

Annales mathématiques Blaise Pascal

In this paper we investigate Hesse’s elliptic curves $H_{μ} : U^{3} + V^{3} + W^{3} = 3 μ U V W, μ \in Q - {1}$ , and construct their twists, $H_{μ, t}$ over quadratic fields, and $\tilde{H} (μ, t), μ, t \in Q$ over the Galois closures of cubic fields. We also show that $H_{μ}$ is a twist of $\tilde{H} (μ, t)$ over the related cubic field when the quadratic field is contained in the Galois closure of the cubic field. We utilize a cubic polynomial, $R (t; X) : = X^{3} + t X + t, t \in Q - {0, - 27 / 4}$ , to parametrize all of quadratic fields and cubic ones. It should be noted that $\tilde{H} (μ, t)$ is a twist of $H_{μ}$ as algebraic curves because it may not always have any rational points...

Twists of Modular Forms and Endomorphisms of Abelian Varieties.

Kenneth A. Ribet (1980)

Mathematische Annalen

Displaying 121 – 134 of 134

Currently displaying 121 – 134 of 134