Kategoria BISAC: Mathematics >> Number Theory

This book delves into the dynamic intersection of optimization and discrete mathematics, offering a comprehensive exploration of their applications in data sciences. Through a collection of high-quality papers, readers will gain insights into cutting-edge research and methodologies that address complex problems across a wide array of topics.

The chapters cover an impressive range of subjects, including advances in the study of polynomials, combinatorial identities, and global optimization algorithms. Readers will encounter innovative approaches to predictive models for non-performing...

This is the sixth annual volume of papers based on the outstanding lectures given at the Seminaire de Theorie des Nombres de Paris. The results presented in 1985-86 by an international group of mathematicians reflect the most recent work in many areas of number theory.

From the reviews:

"This book surveys an elegant new subject which has developed out of the cohomological treatment of class field theory by E. Artin and J. Tate. The bulk of the early contributions were by Tate, and we are greatly indebted to the author for publishing them in his very lucid style. Many others have made impressive discoveries in the field science. ...] An Appendix by J.-L. Verier covers duality in profinite groups."
M. Greenberg in Mathematical Reviews, 1966

The current edition includes a survey (mostly without proofs) of the main...

Cet ouvrage est consacre a l'arithmetique des surfaces fibrees en courbes de genre 1 au-dessus de la droite projective, et a l'arithmetique des intersections de deux quadriques dans l'espace projectif. Swinnerton-Dyer introduisit en 1993 une technique permettant d'etudier les points rationnels des pinceaux de courbes de genre 1. La premiere moitie de l'ouvrage reprend et developpe cette technique ainsi que ses generalisations ulterieures. La seconde moitie, qui repose sur la premiere, porte sur les surfaces de del Pezzo de degre 4 et sur les intersections de deux quadriques de dimension...

Ce travail en deux volumes donne la preuve de la stabilisation de la formule des trace tordue.

Stabiliser la formule des traces tordue est la methode la plus puissante connue actuellement pour comprendre l'action naturelle du groupe des points adeliques d'un groupe reductif, tordue par un automorphisme, sur les formes automorphes de carre integrable de ce groupe. Cette comprehension se fait en reduisant le probleme, suivant les idees de Langlands, a des groupes plus petits munis d'un certain nombre de donnees auxiliaires; c'est ce que l'on appelle les donnees endoscopiques....

This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of the Conference and Summer School was the interplay between theory, algorithms and experiment.

The 14 papers offer readers both, instructional courses on the latest algorithms for computing modular and automorphic forms, as well as original research articles reporting on the latest developments in the field.

The three Summer School lectures provide an...

The series Scientia Graeco-Arabicais devoted to the study of scientific and philosophical texts from the Classical and the Islamic world handed down in Arabic. Through critical text editions and monographs it provides access to the topics of inquiry in which ancient science presented itself and developed over time in a continuous tradition between Antiquity and the modern period. All editions are accompanied by translations and philological and explanatory notes.

Languages of publication are English, German, French and Italian.