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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)
References:
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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\paper On Convergence and Growth of Multiple Dirichlet Series
\jour Mat. Zametki
\yr 2010
\vol 88
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\pages 759--769
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\jour Math. Notes
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Linking options:
  • https://www.mathnet.ru/eng/mzm6374
  • https://doi.org/10.4213/mzm6374
  • https://www.mathnet.ru/eng/mzm/v88/i5/p759
  • This publication is cited in the following 3 articles:
    1. Hongyan Xu, Guangsheng Chen, Hari Mohan Srivastava, Hong Li, Zuxing Xuan, Yongqin Cui, “A Study of the Growth Results for the Hadamard Product of Several Dirichlet Series with Different Growth Indices”, Mathematics, 10:13 (2022), 2220  crossref
    2. Cui Y.-Q., Xu H.-Ya., Li N., “The Growth on the Maximum Modulus of Double Dirichlet Series”, J. Funct. space, 2019, 9191346  crossref  mathscinet  isi  scopus
    3. Liang M., “on Order and Type of Multiple Dirichlet Series”, Acta Math. Sci., 35:3 (2015), 703–708  crossref  mathscinet  zmath  isi  scopus
    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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    Abstract page:348
    Full-text PDF :182
    References:54
    First page:12
     
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