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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2020 Volume 492, Pages 125–133 (Mi znsl6950)

This article is cited in 3 papers

Convergence sets of multidimensional local fields

A. I. Madunts

Saint Petersburg State University

Abstract: We study subsets of multidimensional local fields that have the property that any power series with coefficients from this subset converges when substituting an element of the maximum ideal for a variable.

Key words and phrases: multidimensional local fields, topology, convergence of power series.

UDC: 512.625

Received: 20.04.2020



© Steklov Math. Inst. of RAS, 2025