Items related to Equations over finite fields: an elementary approach
Synopsis
In 1948 Andre Weil published the proof of the Riemann hypothesis for function fields in one variable over a finite ground field, a landmark in both number theory and algebraic geometry. It came as a surprise to the number theory community when Sergei Stepanov, beginning in 1969, gave elementary proofs of many of Weil's results. Stepanov drew inspiration from work of Axel Thue on Diophantine approximation. Proofs of Weil's theorem in full generality, based on Stepanov's ideas, were given by both Enrico Bombieri and Wolfgang Schmidt in 1973. Both approaches are presented in the present book, whereas the first edition contained only Schmidt's method. The author develops the necessary tools in a leisurely style that is particularly helpful to graduate students new to the subject. Not available for international shipping through amazon.com. Contact kendrickpress@yahoo.com to purchase this book internationally.
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- PublisherKendrick Press
- Publication date2004
- ISBN 10 0974042714
- ISBN 13 9780974042718
- BindingPaperback
- LanguageEnglish
- Edition number2
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