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Izvestiya: Mathematics, 2003, Volume 67, Issue 1, Pages 77–90
DOI: https://doi.org/10.1070/IM2003v067n01ABEH000419 (Mi im419) 		 
This article is cited in 21 scientific papers (total in 21 papers)

The universality of $L$-functions associated with new forms

A. P. Laurincikas, K. Matsumoto, J. Steuding
English version PDF (198 kB) Citations (21)
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DOI: https://doi.org/10.1070/IM2003v067n01ABEH000419
Abstract: We prove the universality theorem for $L$-functions of new parabolic forms. It concerns the uniform approximation of analytic functions by shifts of these $L$-functions. This theorem together with the Shimura–Taniyama conjecture (now proved) yields the universality of $L$-functions of non-singular elliptic curves over the field of rational numbers. The universality of $L$-functions implies that they are functionally independent.
Received: 28.02.2002
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 1, Pages 83–98
DOI: https://doi.org/10.4213/im419
Bibliographic databases:
UDC: 511
MSC: 11F66, 11M41, 11K99
Language: English
Original paper language: Russian
Citation: A. P. Laurincikas, K. Matsumoto, J. Steuding, “The universality of $L$-functions associated with new forms”, Izv. RAN. Ser. Mat., 67:1 (2003), 83–98; Izv. Math., 67:1 (2003), 77–90
Citation in format AMSBIB
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\issue 1
\pages 83--98
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\transl
\jour Izv. Math.
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  • https://www.mathnet.ru/eng/im/v67/i1/p83
    • This publication is cited in the following 21 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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    Abstract page:531
    Russian version PDF:207
    English version PDF:11
    References:67
    First page:1
     
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