Journal of Soviet Mathematics

, Volume 64, Issue 1, pp 722–723 | Cite as

On the convergence of series over local fields

  • A. I. Madunts


Sufficient conditions are considered for the convergence of superpositions of formal sums of series over local fields. Applications of these conditions to the convergence of π0 n-primary elements are studied.


Nauk SSSR Formal Group Local Field Fundamental Result Primary Element 

Literature cited

  1. 1.
    S. V. Vostokov, “The norm pairing in formal modules,” Izv. Akad. Nauk SSSR, Ser. Mat.,43, No. 4, 765–794 (1979).MathSciNetGoogle Scholar
  2. 2.
    S. V. Vostokov, “An explicit form of the reciprocity law,” Izv. Akad. Nauk SSSR, Ser. Mat.,42, No. 6, 1288–1321 (1978).MATHMathSciNetGoogle Scholar
  3. 3.
    G. Henniart, “Sur les lois de reciprocite explicites,” J. Reine and Angew. Math.,329, 177–202 (1981).MATHMathSciNetGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • A. I. Madunts

There are no affiliations available

Personalised recommendations