Logarithme p-adique, p-ramification abélienne et K ...
Logarithmic derivatives of Dirichlet -functions and the periods of abelian varieties
Logarthme p-adique et groupes de Galois.
Loi de réciprocité quadratique dans les corps quadratiques imaginaires
À partir d’une courbe elliptique définie sur le corps des classes de Hilbert d’un corps quadratique imaginaire et à multiplicité complexe par l’anneau des entiers de , on construit des fonctions elliptiques. Nous établissons des formules produits relatives à ces fonctions. De ce fait, nous obtenons une formulation analytique du lemme de Gauss généralisé ainsi qu’une expression explicite pour le symbole quadratique de Legendre défini sur l’anneau des entiers du corps quadratique imaginaire. Comme...
Lois de réciprocité et lois de décomposition.
Lois de reciprocite primitives.
Lösbare Gleichungen axn - byn = c und Grundeinheiten für einige algebraische Zahlkörper vom Grade n = 3, 4, 6.
Low-discrepancy sequences obtained from algebraic function fields over finite fields
Low-discrepancy sequences using duality and global function fields
Lower bound for class numbers of certain real quadratic fields
Let be a square-free positive integer and be the class number of the real quadratic field We give an explicit lower bound for , where . Ankeny and Chowla proved that if is a natural number and is a square-free integer, then whenever . Applying our lower bounds, we show that there does not exist any natural number such that . We also obtain a similar result for the family . As another application, we deduce some criteria for a class group of prime power order to be cyclic.
Lower bound of real primitive L-function at s=1
Lower bounds for discriminants of number fields
Lower bounds for relative class numbers of imaginary abelian number fields and CM-fields
Lower bounds for the principal genus of definite binary quadratic forms.
Lower bounds of heights of points on hypersurfaces
Lower bounds on the projective heights of algebraic points
Lower powers of elliptic units
In the previous paper [Sch2] it has been shown that ray class fields over quadratic imaginary number fields can be generated by simple products of singular values of the Klein form defined below. In the present article the second named author has constructed more general products that are contained in ray class fields thereby correcting Theorem 2 of [Sch2]. An algorithm for the computation of the algebraic equations of the numbers in Theorem 1 of this paper has been implemented in a KASH program...
L-Reihen imaginär-quadratischen Zahlkörpern und ihre Anwendung auf Klassenzahlprobleme bei quadratischen und biquadratischen Zahlkörpern. II.
L-Reihen in imaginär-quadratischen Zahlkörpern und ihre Anwendung auf Klassenzahlprobleme bei quadratischen und biquadratischen Zahlkörpern. I.
L-Series, Modular Imbeddings, and Signatures.