| 孔荫莹,邓冠铁.Dirichlet级数的Dirichlet-Hadamard乘积[J].数学年刊A辑,2014,35(2):145~152 |
| Dirichlet级数的Dirichlet-Hadamard乘积 |
| The Dirichlet-Hadamard Product of Dirichlet Series |
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| DOI： |
| 中文关键词: Dirichlet-Hadamard乘积,
(下)$q$-级, (下)$q$-型, 完全正规增长 |
| 英文关键词:Dirichlet-Hadamard product,
(Lower) $q$-order, (Lower) $q$-type, Perfectly regular growth |
| 基金项目:国家自然科学基金 (No.11101096, No.11301140, No.11271045)和广东省自然科学基金 (No.S2012010010376) |
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| 中文摘要: |
| 作者构造一个由两个 Dirichlet级数组成的Dirichlet-Hadamard乘积, 得到它的(下)$q$-级和(下)$q$-型的上界或下界的估计定理,
并证明了在一定条件下所得的Dirichlet-Hadamard乘积是完全正规增长的, 并把相应结果推广到乘积函数的线性代换中. |
| 英文摘要: |
| The present paper concerns with some
estimates on the upper and the lower bounds of the (lower) $q$-order
and the (lower) $q$-type of a new product function defined by two
Dirichlet series, named the Dirichlet-Hadamard product. This product is of
regular growth or perfectly regular growth, when two constituent
Dirichlet series satisfy some special conditions. Finally, we generalize a result to the subject of linear
substitution. |
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