An exposition of the theory of curves over a finite field, and connections to the Riemann Hypothesis for function fields.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Machiel van Frankenhuijsen is an Associate Professor at Utah Valley University. His research interests lie in number theory, especially the abc conjecture and the connections between geometry and number theory.
Inhaltsangabe
List of illustrations Preface Introduction 1. Valuations 2. The local theory 3. The zeta function 4. Weil positivity 5. The Frobenius flow 6. Shift operators 7. Epilogue References Notation Index.
List of illustrations; Preface; Introduction; 1. Valuations; 2. The local theory; 3. The zeta function; 4. Weil positivity; 5. The Frobenius flow; 6. Shift operators; 7. Epilogue; References; Notation; Index.
List of illustrations Preface Introduction 1. Valuations 2. The local theory 3. The zeta function 4. Weil positivity 5. The Frobenius flow 6. Shift operators 7. Epilogue References Notation Index.
List of illustrations; Preface; Introduction; 1. Valuations; 2. The local theory; 3. The zeta function; 4. Weil positivity; 5. The Frobenius flow; 6. Shift operators; 7. Epilogue; References; Notation; Index.
Rezensionen
'This charming book is an attempt to understand some modern approaches to the [Riemann Hypothesis] ... This intriguing material is recommended, e.g. for an advanced student seminar.' Nieuw Archief voor Wiskunde
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