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Izvestiya: Mathematics, 2003, Volume 67, Issue 2, Pages 405–418
DOI: https://doi.org/10.1070/IM2003v067n02ABEH000432 (Mi im432) 		 
This article is cited in 2 scientific papers (total in 3 papers)

On the convergence exponent of the singular integral in the multi-dimensional analogue of Tarry's problem

M. A. Chahkiev

Russian State Social University
English version PDF (169 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM2003v067n02ABEH000432
Abstract: We obtain upper and lower bounds for the convergence exponent of the singular integral in the many-dimensional analogue of Tarry's problem on the asymptotics of the number of solutions of systems of Diophantine equations. In several cases we establish the exact values of the convergence exponent of the singular integral.
Received: 02.07.2002
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 2, Pages 211–224
DOI: https://doi.org/10.4213/im432
Bibliographic databases:
UDC: 517.5
MSC: 11L40, 11L03, 11P05
Language: English
Original paper language: Russian
Citation: M. A. Chahkiev, “On the convergence exponent of the singular integral in the multi-dimensional analogue of Tarry's problem”, Izv. RAN. Ser. Mat., 67:2 (2003), 211–224; Izv. Math., 67:2 (2003), 405–418
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2003v067n02ABEH000432
  • https://www.mathnet.ru/eng/im/v67/i2/p211
    • This publication is cited in the following 3 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:552
    Russian version PDF:223
    English version PDF:10
    References:42
    First page:1
     
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