Can I read Analytic Methods in Arithmetic Geometry on EtoBox?

Analytic Methods in Arithmetic Geometry by Alina Bucur and David Zureick-Brown, editors is a book available to read on EtoBox.

What is Analytic Methods in Arithmetic Geometry about?

Cover 1 Title page 4 Contents 6 Preface 8 Primes, elliptic curves and cyclic groups 10 1. Introduction 11 2. Primes 11 3. Elliptic curves: generalities 16 4. Elliptic curves over \Q: group structure 18 5. Elliptic curves over \Q: division fields 20 6. Elliptic curves over \Q: maximal Galois representations 22 7. Elliptic curves over \Q: two-parameter families 24 8. Elliptic curves over \Q: reductions modulo primes 26 9. Cyclicity question: heuristics and upcoming challenges 30 10. Cyclicity question: asymptotic 34 11. Cyclicity question: lower bound 40 12. Cyclicity question: average 41 13. Primality of p+1-a_{p} 50 14. Anomalous primes 54 15. Global perspectives 58 16. Final remarks 60 Acknowledgments 73 References 73 Growth and expansion in algebraic groups over finite fields 80 1. Introduction 80 2. Elementary tools 87 3. Growth in a solvable group 90 4. Intersections with varieties 98 5. Growth and diameter in \SL2(K) 109 6. Further perspectives and open problems 114 Acknowledgments 117 References 117 Lectures on applied l-adic cohomology 122 1. Introduction 122 2. Examples of trace functions 123 3. Trace functions and Galois representations 126 4. Summing trace functions over

Author

Alina Bucur and David Zureick-Brown, editors

Language

EN