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Izvestiya: Mathematics, 2007, Volume 71, Issue 3, Pages 477–493
DOI: https://doi.org/10.1070/IM2007v071n03ABEH002365 (Mi im1137) 		 
The Hua Loo-Keng problem on prime numbers representable by given quadratic forms

S. A. Gritsenko

Belgorod State University
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DOI: https://doi.org/10.1070/IM2007v071n03ABEH002365
Abstract: In this paper, we solve the Hua Loo-Keng problem with prime numbers representable by given primitive positive-definite binary quadratic forms whose discriminants coincide with those of the imaginary quadratic fields in which the quadratic forms decompose into linear factors.
Received: 12.07.2006
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2007, Volume 71, Issue 3, Pages 45–60
DOI: https://doi.org/10.4213/im1137
Bibliographic databases:
UDC: 511
MSC: 11L15, 11L40, 11M26, 11M35, 11M41, 11N05, 11P32, 11P55, 11R44, 11-01, 11-02, 12-01, 11Axx, 11Dxx, 11Mxx, 11Rxx, 11Sxx
Language: English
Original paper language: Russian
Citation: S. A. Gritsenko, “The Hua Loo-Keng problem on prime numbers representable by given quadratic forms”, Izv. RAN. Ser. Mat., 71:3 (2007), 45–60; Izv. Math., 71:3 (2007), 477–493
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v71/i3/p45
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:562
    Russian version PDF:197
    English version PDF:13
    References:60
    First page:4
     
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