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THE GROWTH OF RANDOM DIRICHLET SERIES (I) 被引量:4

THE GROWTH OF RANDOM DIRICHLET SERIES (I)
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摘要 Under the conditions(without independence): (i) There Exists alpha > 0, such that sup E\Z(n)\(alpha) < +infinity, (ii) There Exists beta > 0, such that sup E\Z(n)\(-beta) < +infinity, the random series Sigma a(n) Z(n)e(-lambda n) and series' Sigma a(n)e(-lambda ns) a.s. have the same abscissa of convergence, the (R) order, lower order and type. Under the conditions(without independence): (i) There Exists alpha > 0, such that sup E\Z(n)\(alpha) < +infinity, (ii) There Exists beta > 0, such that sup E\Z(n)\(-beta) < +infinity, the random series Sigma a(n) Z(n)e(-lambda n) and series' Sigma a(n)e(-lambda ns) a.s. have the same abscissa of convergence, the (R) order, lower order and type.
作者 田范基
出处 《Acta Mathematica Scientia》 SCIE CSCD 2000年第3期390-396,共7页 数学物理学报(B辑英文版)
关键词 random Dirichlet series the order of growth low order convex regularization TYPE random Dirichlet series the order of growth low order convex regularization type
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  • 1Sun Daochun,Chin Ann Math B,1990年,11卷,1期,33页 被引量:1
  • 2Yu Jiarong,Chin Ann Math B,1982年,3卷,545页 被引量:1
  • 3余家荣,数学学报,1978年,21卷,97页 被引量:1

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