Mean value of L-functions and the class number of a cyclotomic field

DOI10.1007/BF01374991zbMath0665.12009OpenAlexW1964778435MaRDI QIDQ1115914

Ilya Sh. Slavutskii

Publication date: 1988

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01374991

zbMATH Keywords

class number of a cyclotomic fieldmean value of L-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (1)

On the mean square value of the Dirichlet L-function at positive integers

Cites Work

• Unnamed Item
• Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung
• An exact formula for an average of L-series
• Elementary methods in the theory of L-functions, VII. Upperbound for L(1,χ)
• On the k -Analogues of some Theorems in the Theory of the Riemann σ-Function
• On the size of L(1,).
• Class Numbers and μ-Invariants of Cyclotomic Fields
• On the Product of L(1, χ)

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