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Izvestiya: Mathematics, 2020, Volume 84, Issue 2, Pages 348–360
DOI: https://doi.org/10.1070/IM8821 (Mi im8821) 		 
This article is cited in 16 scientific papers (total in 16 papers)

$p$-adic monomial equations and their perturbations

F. M. Mukhamedov, O. N. Khakimov

United Arab Emirates University
English version PDF (499 kB) Citations (16)
References:
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DOI: https://doi.org/10.1070/IM8821
Abstract: In this paper, we describe the set of solutions of the monomial equation $x^k=a$ over $\mathbb Q_p$. Moreover, as an application, we study some perturbations of the equation under consideration over the $p$-adic field.
Keywords: monomial equation, $p$-adic numbers, rational function.
Funding agency Grant number
United Arab Emirates University 31S391
This work was supported by the UAEU UPAR Grant No. 31S259.
Received: 07.06.2018
Revised: 06.11.2018
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2020, Volume 84, Issue 2, Pages 152–165
DOI: https://doi.org/10.4213/im8821
Bibliographic databases:
Document Type: Article
UDC: 517.98+530.1
MSC: 37B05, 37B10, 12J12, 39A70
Language: English
Original paper language: Russian
Citation: F. M. Mukhamedov, O. N. Khakimov, “$p$-adic monomial equations and their perturbations”, Izv. RAN. Ser. Mat., 84:2 (2020), 152–165; Izv. Math., 84:2 (2020), 348–360
Citation in format AMSBIB
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\pages 152--165
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  • https://www.mathnet.ru/eng/im8821
  • https://doi.org/10.1070/IM8821
  • https://www.mathnet.ru/eng/im/v84/i2/p152
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:353
    Russian version PDF:73
    English version PDF:13
    References:47
    First page:20
     
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