On statistical properties of the lerch zeta-function

被引:0
作者
Ignatavičiute J. [1 ]
机构
[1] Department of Mathematics and Informatics, Vilnius University, LT-2600 Vilnius
关键词
Lerch zeta-function; Probability measure; Transcendental number; Weak convergence;
D O I
10.1023/A:1013856420129
中图分类号
学科分类号
摘要
A discrete limit theorem for the Lerch zeta-function on the complex plane is proved. © 2001 Plenum Publishing Corporation.
引用
收藏
页码:330 / 343
页数:13
相关论文
共 10 条
  • [1] Billingsley P., Convergence of Probability Measures, (1968)
  • [2] Heyer H., Probability Measures on Locally Compact Groups, (1977)
  • [3] Garunkstis R., Laurincikas A., On the Lerch zeta-function, Lith. Math. J., 36, 4, pp. 337-346, (1996)
  • [4] Ignataviciute J., A limit theorem for the Lerch zeta-function, Liet. Matem. Rink., 40, SPEC. ISSUE, pp. 21-27, (2000)
  • [5] Ignataviciute J., A limit theorem for the Lerch zeta-function on the space of analytic functions, Proc. Sem. Fac. Phys. Math., 3, pp. 5-13, (2000)
  • [6] Laurincikas A., Elements of the Theory of Riemann Zeta-function, (1992)
  • [7] Laurincikas A., The Lerch zeta-function. i, Proc. Sem. Fac. Phys. Math., 3, pp. 35-45, (2000)
  • [8] Loev M., Probability Theory, (1960)
  • [9] Montgomery H.L., Topics in Multiplicative Number Theory, (1971)
  • [10] Tempelman A.A., Ergodic Theorems on Groups, (1986)