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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 6, Pages 1258–1264 (Mi smj931)  
This article is cited in 8 scientific papers (total in 8 papers)

Root continuity theorems in valued fields

Yu. L. Ershov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (170 kB) Citations (8)
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Abstract: The literature on valued fields contains a series of the theorems referred to as root continuity theorems. The goal of this article is to improve the constants $\delta$ for three available theorems formulated in the language of $\varepsilon$ and $\delta$. The proofs rest on the basic proposition of the author's article.
Keywords: valued fields, root continuity.
Received: 10.04.2006
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 6, Pages 1027–1033
DOI: https://doi.org/10.1007/s11202-006-0111-9
Bibliographic databases:
UDC: 512.623.4
Language: Russian
Citation: Yu. L. Ershov, “Root continuity theorems in valued fields”, Sibirsk. Mat. Zh., 47:6 (2006), 1258–1264; Siberian Math. J., 47:6 (2006), 1027–1033
Citation in format AMSBIB
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    Cycle of papers
    This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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