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 
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Literature cited

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    S. V. Vostokov, “The norm pairing in formal modules,” Izv. Akad. Nauk SSSR, Ser. Mat.,43, No. 4, 765–794 (1979).MathSciNetGoogle Scholar
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    S. V. Vostokov, “An explicit form of the reciprocity law,” Izv. Akad. Nauk SSSR, Ser. Mat.,42, No. 6, 1288–1321 (1978).MATHMathSciNetGoogle Scholar
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    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

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