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Analytic Methods for Diophantine Equations and Diophantine Inequalities

HaroldDavenportwasoneofthetrulygreatmathematiciansofthetwentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it was when the book originally appeared. The three main themes of the book are Waring’s problem and the representation of integers by diagonal forms, the solubility in integers of systems of forms in many variables, and the solubility in integers of diagonal inequalities. For the second edition of the book a comprehensive foreword has been added in which three leading experts describe the modern context and recent developments. A complete list of references has also been added.
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