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Distribution Theory of Algebraic Numbers
De Gruyter 2008; US$ 196.00The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals with the approximation of real numbers by rational numbers. The book is appended with a list of challenging open problems and a comprehensive list of references. From the contents: Field extensions ? Algebraic... more...
Quantitative Arithmetic of Projective Varieties
Springer 2009; US$ 99.00Describes counting rational points of bounded height on projective algebraic varieties. This book discusses the topic that lies at the interface of analytic number theory and Diophantine geometry. more...
Lectures on Arakelov Geometry
Cambridge University Press 1992; US$ 43.00An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory. more...
Metric Diophantine Approximation on Manifolds
Cambridge University Press 1999; US$ 90.00This book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space. more...
The Gross-Zagier Formula on Shimura Curves
Princeton University Press 2012; US$ 75.00This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation of... more...
Modular Representation Theory of Finite Groups
Springer 2012; US$ 54.99Representation theory studies maps from groups into the general linear group of a finite-dimensional vector space. For finite groups the theory comes in two distinct flavours. In the 'semisimple case' (for example over the field of complex numbers) one can use character theory to completely understand the representations. This by far is... more...
Arithmetic Compactifications of PEL-Type Shimura Varieties
Princeton University Press 2013; US$ 150.00By studying the degeneration of abelian varieties with PEL structures, this book explains the compactifications of smooth integral models of all PEL-type Shimura varieties, providing the logical foundation for several exciting recent developments. The book is designed to be accessible to graduate students who have an understanding of schemes and abelian... more...
Diophantine Analysis
Cambridge University Press 1986; US$ 43.00These papers were presented at the 1985 Australian Mathematical Society convention. They survey recent work in Diophantine analysis. more...
Diophantine Equations over Function Fields
Cambridge University Press 1984; US$ 37.00A self-contained account of a new approach to the subject. more...
The Algorithmic Resolution of Diophantine Equations
Cambridge University Press 1998; US$ 54.00A coherent account of the computational methods used to solve diophantine equations. more...









