Complex Analytic Class Number Formulas

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 59)


The complex analytic class number formulas date back to the 19th century. They relate class numbers of cyclotomic fields and units. They arise by factoring the zeta function of a cyclotomic field in L-series, and looking at the factorization of the residue.


Zeta Function Prime Power Class Number Primitive Character Abelian Extension 
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, New York Inc. 1978

Authors and Affiliations

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

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