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Functional Equation of the Zeta Function, Hecke’s Proof

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 110)

Abstract

Let f be a function on R n . We shall say that f tends to 0 rapidly at infinity if for each positive integer m the function is bounded for |x| sufficiently large. Here as in the rest of this chapter, |x| is the Euclidean norm of x. Equivalently, the preceding condition can be formulated by saying that for every polypomial P (in n variables) the function Pf is bounded, or that the function is bounded, for x sufficiently large (i.e. |x| sufficiently large).

Keywords

Functional Equation Zeta Function Number Field Ideal Class Riemann Hypothesis 
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 1994

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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