Limiting distributions and mean-values of complex-valued multiplicative functions

Vol. 1 ◽  
1987 ◽  
pp. 547-552
Keyword(s):  
Multiplicative Functions ◽  
Limiting Distributions ◽  
Mean Values ◽  
Complex Valued

Mappings on Decomposable Combinatorial Structures: Analytic Approach

2002 ◽  
Vol 11 (1) ◽  
pp. 61-78 ◽  
Author(s):  
E. MANSTAVIČIUS
Keyword(s):  
Number Theory ◽  
Generating Functions ◽  
Multiplicative Functions ◽  
Combinatorial Structures ◽  
Mean Values ◽  
Taylor Coefficients ◽  
Probabilistic Number ◽  
Generating Series ◽  
Euler Products ◽  
Complex Valued

On the class of labelled combinatorial structures called assemblies we define complex-valued multiplicative functions and examine their asymptotic mean values. The problem reduces to the investigation of quotients of the Taylor coefficients of exponential generating series having Euler products. Our approach, originating in probabilistic number theory, requires information on the generating functions only in the convergence disc and rather weak smoothness on the circumference. The results could be applied to studying the asymptotic value distribution of decomposable mappings defined on assemblies.

Mean values of some multiplicative functions

2015 ◽  
Vol 97 (1-2) ◽  
pp. 111-123
Author(s):  
A. A. Sedunova
Keyword(s):  
Multiplicative Functions ◽  
Mean Values
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