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Matematicheskie Zametki, 2010, Volume 88, Issue 5, Pages 759–769
DOI: https://doi.org/10.4213/mzm6374 (Mi mzm6374) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Convergence and Growth of Multiple Dirichlet Series

Meili Liang, Zongsheng Gao

Beihang University, Beijing, P. R.~China
Full-text PDF (463 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm6374
Abstract: In the present paper, the Valiron formula of simple Dirichlet series is extended to $n$-tuple Dirichlet series. And an equivalence relation between the order of $n$-tuple Dirichlet series and its coefficients and exponents is obtained.
Keywords: $n$-tuple Dirichlet series, convergent abscissa, maximal module, maximal term, order.
Received: 28.08.2008
English version:
Mathematical Notes, 2010, Volume 88, Issue 5, Pages 732–740
DOI: https://doi.org/10.1134/S000143461011012X
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: Meili Liang, Zongsheng Gao, “On Convergence and Growth of Multiple Dirichlet Series”, Mat. Zametki, 88:5 (2010), 759–769; Math. Notes, 88:5 (2010), 732–740
Citation in format AMSBIB
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    • 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
    		Математические заметки Mathematical Notes
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