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Zeta Functions and Modular Forms

  • A. N. Parshin
  • I. R. Shafarevich
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 49)

Abstract

Let X be a scheme of finite type over Spec ℤ (see §1 of Chapter 3). Then the closed points x ∈ X are those which satisfy the condition that the corresponding residue field R(x) is finite. The cardinality of R(x) is called the norm of x and is denoted by N(x). The set of all closed points of X is denoted by ̄X. For the moment we shall think of this as a discrete topological space.

Keywords

Zeta Function Modular Form Elliptic Curve Eisenstein Series Cusp Form 
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-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • A. N. Parshin
    • 1
  • I. R. Shafarevich
    • 1
  1. 1.Steklov Mathematical InstituteMoscowRussia

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