Analytic Number Theory by William Duke, Yuri Tschinkel
Analytic Number Theory - Table of Contents
- 1. The Life and Work of Gustav Lejeune Dirichlet (1805–1859)
- 2. An Overview of Manin’s Conjecture for del Pezzo Surfaces
- 3. The Density of Integral Solutions for Pairs of Diagonal Cubic Equations
- 4. Second Moments of GL2 Automorphic L-Functions
- 5. CM Points and Weight 3/2 Modular Forms
- 6. The Path to Recent Progress on Small Gaps Between Primes
- 7. Negative Values of Truncations to L(1, ?)
- 8. Long Arithmetic Progressions of Primes
- 9. Heegner Points and Non-Vanishing of Rankin/Selberg L-Functions
- 10. Singular Moduli Generating Functions for Modular Curves and Surfaces
- 11. Rational Points of Bounded Height on Threefolds
- 12. Reciprocal Geodesics
- 13. The Fourth Moment of Dirichlet L-Functions
- 14. The Gauss Class-Number Problems
What You Will Learn in Analytic Number Theory
Analytic Number Theory: A Tribute to Gauss and Dirichlet by William Duke and Yuri Tschinkel provides graduate students and researchers with a comprehensive collection of articles on complex analysis applied to integer distributions. Accessing this william duke analytic number theory pdf gives access to profound insights into modern analytic methods.
The volume covers Dirichlet series, Riemann zeta function zeros, automorphic representations, exponential sums, and sieve methods. Studying this authoritative analytic number theory duke tschinkel book bridges classical prime distribution theory with advanced automorphic forms and arithmetic algebraic geometry.
Published as an invaluable analytic number theory pdf reference, this work brings together foundational lectures, technical proofs, and open research problems in analytic arithmetic.
Book Details & Specifications
Title:
Analytic Number Theory by William Duke, Yuri Tschinkel
Publisher:
American Mathematical Society
Year:
2007
Pages:
266
Type:
PDF
Language:
English
ISBN-10 #:
0821843079
ISBN-13 #:
978-0821843079
License:
External Educational Resource
Amazon:
Amazon
About the Author: William Duke
The author William Duke
is a Professor of Mathematics at UCLA, renowned for his breakthrough research in analytic number theory, modular forms, and quadratic forms.
Yuri Tschinkel is a Professor of Mathematics at the Courant Institute (NYU) and Director of Physical Sciences at the Simons Foundation, specializing in algebraic geometry and number theory. Together, they edited Analytic Number Theory by William Duke and Yuri Tschinkel to highlight prominent advances in the field.
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