Tate’s Thesis and Applications

  • Dinakar Ramakrishnan
  • Robert J. Valenza
Part of the Graduate Texts in Mathematics book series (GTM, volume 186)

Abstract

It is well known that much information on rational primes is encoded in the Riemann zeta function ζ(s), which is defined by the absolutely convergent series
for complex numbers s such that Re(s)>1.

Keywords

Number Field Dirichlet Series Dirichlet Character Unitary Character Meromorphic Continuation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Dinakar Ramakrishnan
    • 1
  • Robert J. Valenza
    • 2
  1. 1.Mathematics DepartmentCalifornia Institute of TechnologyPasadenaUSA
  2. 2.Department of MathematicsClaremont McKenna CollegeClaremontUSA

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