Kategoria BISAC: Mathematics >> Number Theory

Mit Erfindung der Schrift entstand gleichzeitig der Bedarf, Geschriebenes vor unbefugten Lesern zu verbergen. Als Wissenschaft im modernen Sinne ist die Kryptographie jedoch noch sehr jung. 1994 erfanden Naor und Shamir folgendes Verfahren: Sie verteilten ein Bild so auf zwei Folien, dass auf jeder einzelnen Folie nur ein zufalliges Punktmuster zu sehen ist, aber beide Folien ubereinander gelegt ein geheimes Bild ergeben. Das Buch gibt einen Einblick in die aktuelle Forschung, verzichtet aber bewusst auf Hohere Mathematik. Daher eine ideale Grundlage fur Proseminare und Mathematik-AGs der...

This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture.

Each part treats a number of beautiful...

Award-winning monograph of the Ferran Sunyer i Balagure Prize 1996.

This book systematically develops some methods for proving the non-vanishing of certain L-functions at points in the critical strip. Researchers in number theory, graduate students who wish to enter into the area and non-specialists who wish to acquire an introduction to the subject will benefit by a study of this book. One of the most attractive features of the monograph is that it begins at a very basic level and quickly develops enough aspects of the theory to bring the reader to a point the latest discoveries as are...

This text gathers for the first time material from the representation theory of this group in both local (archimedean and non-archimedean) cases and in the global number field case. Via a bridge to Waldspurger's theory for the metaplectic group, complete classification theorems for irreducible representations are obtained....

The subject of the book is Diophantine approximation and Nevanlinna theory.

This book proves not just some new results and directions but challenging open problems in Diophantine approximation and Nevanlinna theory. The authors newest research activities on these subjects over the past eight years are collected here. Some of the significant findings are the proof of Green-Griffiths conjecture by using meromorphic connections and Jacobian sections, generalized abc-conjecture, and more.

There is a continuing emphasis on diagrams, both geometric and combinatorial, which helps to tie disparate topics together, weaving around the unifying themes of the golden mean and various generalizations of the Fibonacci recurrence relation.

Very little prior mathematical knowledge is assumed, other...

There is a continuing emphasis on diagrams, both geometric and combinatorial, which helps to tie disparate topics together, weaving around the unifying themes of the golden mean and various generalizations of the Fibonacci recurrence relation.

Very little prior mathematical knowledge is assumed, other...