The low activity phase of some Dirichlet series

被引:6
|
作者
Contucci, P [1 ]
Knauf, A [1 ]
机构
[1] TECH UNIV BERLIN,FACHBEREICH MATH 3,D-10623 BERLIN,GERMANY
关键词
D O I
10.1063/1.531717
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that a rigorous statistical mechanics description of some Dirichlet series is possible. Using the abstract polymer model language of statistical mechanics and the polymer expansion theory we characterize the low activity phase by the suitable exponential decay of the truncated correlation functions. (C) 1996 American Institute of Physics.
引用
收藏
页码:5458 / 5475
页数:18
相关论文
共 50 条
  • [41] On some Dirichlet series related to the Riemann zeta function, I
    Wolke, D
    ARCHIV DER MATHEMATIK, 2000, 74 (04) : 276 - 281
  • [42] The Dirichlet series
    Fekete, M
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1910, 150 : 1033 - 1036
  • [43] The Dirichlet series
    Cahen, E
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1918, 166 : 987 - 989
  • [44] DIRICHLET SERIES
    KAHANE, JP
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1973, 276 (10): : 739 - 742
  • [45] Dirichlet Series
    Rivat, Joel
    ERGODIC THEORY AND DYNAMICAL SYSTEMS IN THEIR INTERACTIONS WITH ARITHMETICS AND COMBINATORICS, 2018, 2213 : 17 - 23
  • [46] THE DIRICHLET SERIES
    CASSOUNOGUES, P
    ASTERISQUE, 1982, (94) : 1 - 15
  • [48] On the Dirichlet series and the power series
    Mittag-Leffler, G
    ACTA MATHEMATICA, 1925, 46 : 337 - 340
  • [49] SERIES CLOSE TO DIRICHLET SERIES
    BRONSHTE.BS
    DOKLADY AKADEMII NAUK SSSR, 1965, 161 (01): : 13 - &
  • [50] DIRICHLET APPROXIMATION AND UNIVERSAL DIRICHLET SERIES
    Aron, Richard M.
    Bayart, Frederic
    Gauthier, Paul M.
    Maestre, Manuel
    Nestoridis, Vassili
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (10) : 4449 - 4464