EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 56

Ramanujan identities and Euler products for a type of Dirichlet series

Zhi-Hong Sun, Kenneth S. Williams (2006)

Acta Arithmetica

Ramification in p-Adic Lie Extensions.

Shankar Sen (1972)

Inventiones mathematicae

Random Thue and Fermat equations

Rainer Dietmann, Oscar Marmon (2015)

Acta Arithmetica

We consider Thue equations of the form $a x^{k} + b y^{k} = 1$ , and assuming the truth of the abc-conjecture, we show that almost all locally soluble Thue equations of degree at least three violate the Hasse principle. A similar conclusion holds true for Fermat equations $a x^{k} + b y^{k} + c z^{k} = 0$ of degree at least six.

Rational base number systems for p-adic numbers

Christiane Frougny, Karel Klouda (2012)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

This paper deals with rational base number systems for p-adic numbers. We mainly focus on the system proposed by Akiyama et al. in 2008, but we also show that this system is in some sense isomorphic to some other rational base number systems by means of finite transducers. We identify the numbers with finite and eventually periodic representations and we also determine the number of representations of a given p-adic number.

Rational base number systems for p-adic numbers

Christiane Frougny, Karel Klouda (2012)

RAIRO - Theoretical Informatics and Applications

Rational congruence for uniform multiplicative designs.

Linda H. Host (1986)

Aequationes mathematicae

Rational fixed points for linear group actions

Pietro Corvaja (2007)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We prove a version of the Hilbert Irreducibility Theorem for linear algebraic groups. Given a connected linear algebraic group $G$ , an affine variety $V$ and a finite map $π : V \to G$ , all defined over a finitely generated field $κ$ of characteristic zero, Theorem 1.6 provides the natural necessary and sufficient condition under which the set $π (V (κ))$ contains a Zariski dense sub-semigroup $Γ \subset G (κ)$ ; namely, there must exist an unramified covering $p : \tilde{G} \to G$ and a map $θ : \tilde{G} \to V$ such that $π \circ θ = p$ . In the case $κ = ℚ$ , $G = 𝔾_{a}$ is the additive group, we reobtain the...

Rational period functions and indefinite binary quadratics forms. I.

YoungJu Choie, L. Alayne Parson (1990)

Mathematische Annalen

Rationality of a certain formal power series attached to local densities of quadratic forms.

Hidenori Katsurada (1994)

Manuscripta mathematica

Real components of algebraic varieties and étale cohomologie.

J.-L. Colliot-Thélène, R. Parimala (1990)

Inventiones mathematicae

Real Zeros of Eisenstein Series.

Jeffrey Hoffstein (1982)

Mathematische Zeitschrift

Real Zeros of Positive Semidefinite Forms. I.

Bruce Reznick, M.-D. Choi, T.-Y. Lam (1980)

Mathematische Zeitschrift

Réalisation de formes $ℤ$ -bilinéaires symétriques comme formes trace hermitiennes amplifiées

Grégory Berhuy (2000)

Journal de théorie des nombres de Bordeaux

Dans cet article, on montre de manière explicite que toute forme $ℤ$ -bilinéaire symétrique non dégénérée de rang pair, et non $ℚ$ -isomorphe au plan hyperbolique, se réalise comme forme trace hermitienne amplifiée d’une algèbre $ℤ [α]$ , où $α$ est un entier algébrique. Plus précisemment, on montre que pour tout $S \in M_{2 n} (ℤ)$ symétrique, avec det $S \neq 0$ (et det $S \neg \equiv - 1$ (mod $ℚ^{* 2}$ ) si $n = 1$ ), il existe un entier algébrique $α$ , une involution $ℚ$ -linéaire $σ$ de $ℚ (α), λ \in ℚ (α) σ$ -symétrique et une $ℤ$ -base $v_{1}, \dots, v_{2 n}$ d’un idéal de $ℤ [α]$ tels que $S = (T r_{ℚ (α) / ℚ} (λ v_{i} v_{j}^{σ}))$ .

Realizing dyadic factors of elementary type Witt rings and pro-2 Galois groups.

Roger Ware, Bill Jacob (1991)

Mathematische Zeitschrift

Recherches sur la transformation par des substitutions réelles d'une somme de deux ou de trois carrés en elle-même

Lipschitz (1886)

Journal de Mathématiques Pures et Appliquées

Recherches sur la transformation, par des substitutions rélles, d'une somme de deux ou de trois carrés en elle-même [Book]

Rudolf Lipschitz (1886)

Currently displaying 1 – 20 of 56

Page 1 Next

Displaying 1 – 20 of 56

Ramanujan identities and Euler products for a type of Dirichlet series

Ramification in p-Adic Lie Extensions.

Random Thue and Fermat equations

Rational base number systems for p-adic numbers

Rational base number systems for p-adic numbers

Rational congruence for uniform multiplicative designs.

Rational fixed points for linear group actions

Rational period functions and indefinite binary quadratics forms. I.

Rationality of a certain formal power series attached to local densities of quadratic forms.

Real components of algebraic varieties and étale cohomologie.

Real Zeros of Eisenstein Series.

Real Zeros of Positive Semidefinite Forms. I.

Réalisation de formes $ℤ$ -bilinéaires symétriques comme formes trace hermitiennes amplifiées

Realizing dyadic factors of elementary type Witt rings and pro-2 Galois groups.

Recherches sur la transformation par des substitutions réelles d'une somme de deux ou de trois carrés en elle-même

Recherches sur la transformation, par des substitutions rélles, d'une somme de deux ou de trois carrés en elle-même [Book]

Rechnen in endlichen Körpern (Beispiele elementarer Zahlentheorie).

Recursive determination of the enumerator for sums of three squares.

Réduction des formes quadratiques

Reduction theory using semistability.

Currently displaying 1 – 20 of 56