The joint universality and the functional independence for Lerch zeta-functions
The joint universality and the functional independence for Lerch zeta-functions
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Lerch zeta 函数的联合普适性和函数独立性
DOI：
10.1017/s002776300000725x
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发表时间：
2000
影响因子：
0.8
通讯作者：
Kohji Matsumoto
中科院分区：
文献类型：
--
作者：
A. Laurinčikas;Kohji Matsumoto
在λls是有理数的情况下，lerch zeta函数l（λl，αl，s）（1≤l≤n）的联合宇宙理论证明了n = 1的情况（αls是理性数字，n = 1。 [12]）;λls的合理性用于建立“关节”病例N≥2的理论。作为推论，显示了这些功能的关节功能独立性。
The joint universality theorem for Lerch zeta-functions L(λl, αl, s) (1 ≤ l ≤ n) is proved, in the case when λls are rational numbers and αls are transcendental numbers. The case n = 1 was known before ([12]); the rationality of λls is used to establish the theorem for the “joint” case n ≥ 2. As a corollary, the joint functional independence for those functions is shown.