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Convergence Sets of Multidimensional Local Fields

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The paper is devoted to studying of subsets of multidimensional local fields such that any power series with coefficients from this subset converges when a maximal ideal element is substituted for a variable.

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Authors and Affiliations

  1. St.Petersburg State University, St.Petersburg, Russia

    A. I. Madunts

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  1. A. I. Madunts
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Correspondence to A. I. Madunts.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 492, 2020, pp. 125–133.

Translated by I. Ponomarenko.

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Madunts, A.I. Convergence Sets of Multidimensional Local Fields. J Math Sci 264, 80–85 (2022). https://doi.org/10.1007/s10958-022-05980-z

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  • DOI: https://doi.org/10.1007/s10958-022-05980-z

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