Number theory

This book systematically develops the theory of continuous representations on p-adic Banach spaces.

More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions.

This book systematically develops the theory of continuous representations on p-adic Banach spaces.

More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions.

This book provides an overview of the main results and problems concerning Diophantine m-tuples, i.

This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup.

The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups.

This self-contained and comprehensive textbook of algebraic number theory is useful for advanced undergraduate and graduate students of mathematics.

This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10-14, 2018.

This book provides an overview of the main results and problems concerning Diophantine m-tuples, i.

This volume contains the notes originally made by Kenkichi Iwasawa in his own handwriting for his lecture course at Princeton University in 1964.

This textbook invites readers to explore mathematical thinking by finding the beauty in the subject.

The present monograph further develops the study, via the techniques of combinatorial anabelian geometry, of the profinite fundamental groups of configuration spaces associated to hyperbolic curves over algebraically closed fields of characteristic zero.

This self-contained and comprehensive textbook of algebraic number theory is useful for advanced undergraduate and graduate students of mathematics.

This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10-14, 2018.

This volume contains the notes originally made by Kenkichi Iwasawa in his own handwriting for his lecture course at Princeton University in 1964.

The present monograph further develops the study, via the techniques of combinatorial anabelian geometry, of the profinite fundamental groups of configuration spaces associated to hyperbolic curves over algebraically closed fields of characteristic zero.

The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups.

This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup.

This book is the first volume of proceedings from the joint conference X International Symposium "e;Quantum Theory and Symmetries"e; (QTS-X) and XII International Workshop "e;Lie Theory and Its Applications in Physics"e; (LT-XII), held on 19-25 June 2017 in Varna, Bulgaria.

This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "e;Lie Theory and Its Applications in Physics"e;, held near Varna, Bulgaria, in June 2015.

The book discusses important results in modern mathematical models and high performance computing, such as applied operations research, simulation of operations, statistical modeling and applications, invisibility regions and regular meta-materials, unmanned vehicles, modern radar techniques/SAR imaging, satellite remote sensing, coding, and robotic systems.

This book introduces a new geometric vision of continued fractions.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

"e;Beauty is the first test: there is no permanent place in the world for ugly mathematics.

p-adic numbers are of great theoretical importance in numbertheory, since they allow the use of the language of analysisto study problems relating toprime numbers and diophantineequations.

1) p n=1 The set of arguments s for which ((s) is defined can be extended to all s E C,s :f:.

1.

It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years.

On the one hand, this monograph serves as a self-contained introduction to Nevanlinna's theory of value distribution because the authors only assume the reader is familiar with the basics of complex analysis.

Coding theory is still a young subject.

The aim of this book is to present an exposition of the theory of alge- braic numbers, excluding class-field theory and its consequences.

This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster.

This book is intended as a text for a course on cryptography with emphasis on algebraic methods.

This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva- ture -1, which is traditionally called hyperbolic 3-space.

The common solutions of a finite number of polynomial equations in a finite number of variables constitute an algebraic variety.

With the advent of powerful computing tools and numerous advances in math- ematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right.

Abelian varieties are special examples of projectivevarieties.

The topic of this book is the theory of degenerations of abelian varieties and its application to the construction of compactifications of moduli spaces of abelian varieties.

The first edition of this book was conceived in 1981 as an alternative to outdated, oversized, or overly specialized textbooks in this area of discrete mathematics-a field that is still growing in importance as the need for mathematicians and computer scientists in industry continues to grow.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.