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On the first factor of the class number of prime cyclotomic fields

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Publication:1251690
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DOI10.1016/0022-314X(78)90024-0zbMath0392.12002MaRDI QIDQ1251690

John Myron Masley

Publication date: 1978

Published in: Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

sieve methodglobal class field theoryanalytic class number formulafirst factor of class number of prime cyclotomic fields


Mathematics Subject Classification ID

Applications of sieve methods (11N36) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)


Related Items

Algebraic number fields ⋮ Table of the cyclotomic class numbers ℎ*(𝑝) and their factors for 200<𝑝<521



Cites Work

  • On the Phragmén-Lindelöf theorem and some applications
  • Factorization of certain cyclotomic functions
  • The large sieve
  • Prime Factors of Cyclotomic Class Numbers
  • Table of the cyclotomic class numbers ℎ*(𝑝) and their factors for 200<𝑝<521
  • A Table of the First Factor for Prime Cyclotomic Fields
  • Lectures on P-Adic L-Functions. (AM-74)
  • Maillet’s determinant
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