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Izvestiya: Mathematics, 2013, Volume 77, Issue 1, Pages 20–29
DOI: https://doi.org/10.1070/IM2013v077n01ABEH002627 (Mi im7932) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the algebraic independence of functions of a certain class

P. Yu. Kozlov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (245 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM2013v077n01ABEH002627
Abstract: We consider Ramanujan functions and a family of functions whose properties are close to those of Ramanujan functions. We prove the algebraic independence of these functions over the field of rational functions with complex coefficients. We also prove a bound for the multiplicity of the zeros of polynomials in these functions.
Keywords: algebraic independence, Ramanujan functions, bound for the multiplicity of the zeros of polynomials.
Funding agency Grant number
Russian Foundation for Basic Research 09-01-00743
Received: 06.11.2011
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: Primary 11J89; Secondary 13B25
Language: English
Original paper language: Russian
Citation: P. Yu. Kozlov, “On the algebraic independence of functions of a certain class”, Izv. Math., 77:1 (2013), 20–29
Citation in format AMSBIB
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\paper On the algebraic independence of functions of a~certain class
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\vol 77
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  • https://doi.org/10.1070/IM2013v077n01ABEH002627
  • https://www.mathnet.ru/eng/im/v77/i1/p23
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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