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#### Distribution Theory of Algebraic Numbers

De Gruyter 2008; US$ 238.00The 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 ?... more...

#### Galois Representations in Arithmetic Algebraic Geometry

Cambridge University Press 1998; US$ 104.00Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'. more...

#### The Gross-Zagier Formula on Shimura Curves

Princeton University Press 2012; US$ 82.50This 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... more...

#### Heights in Diophantine Geometry

Cambridge University Press 2007; US$ 72.00This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. more...

#### Hilbert's Tenth Problem

Cambridge University Press 2006; US$ 132.00An account of results extending Hilbert's Tenth Problem to integrally closed subrings of global fields. more...

#### Histoire de l'analyse diophantienne classique

De Gruyter 2013; US$ 168.00This is the first study of the history of Diophantine analysis and the theory of numbers from Ab? K?mil to Fermat (9 th -17 th century). It thus offers an elaborate and detailed overview on a fundamental chapter on classical mathematical thought and its relation to algebra and Diophantus? Arithmetica . more...

#### Lectures on Arakelov Geometry

Cambridge University Press 1994; US$ 48.00An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory. more...

#### Logarithmic Forms and Diophantine Geometry

Cambridge University Press 2008; US$ 92.00An account of effective methods in transcendental number theory and Diophantine geometry by eminent authors. more...

#### Metric Diophantine Approximation on Manifolds

Cambridge University Press 1999; US$ 96.00This 1999 book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space. more...