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Title of Journal: Monatsh Math

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Abbravation: Monatshefte für Mathematik

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Springer Vienna

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DOI

10.1016/0022-1694(86)90066-1

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ISSN

1436-5081

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On mean values of multiplicative functions on the

Authors: Eugenijus Manstavičius
Publish Date: 2015/12/21
Volume: 182, Issue: 2, Pages: 359-376
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Abstract

Mean values of nonnegative multiplicative functions defined on the symmetric group are explored in the paper The result gives a sharp quantitative upper bound for their Cesàro mean An approach that originated in number theory is adopted It can be further applied for mappings defined on general decomposable structures in particular for estimating mean values with respect to multiplicative measures defined on additive partitions of a natural number

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Other Papers In This Journal:
  1. A central limit theorem for integer partitions
  2. Fully commutative elements in finite and affine Coxeter groups
  3. On semi-rational finite simple groups
  4. Integer-valued polynomials over matrices and divided differences
  5. Simple exceptional groups of Lie type are determined by their character degrees
  6. Löwner chains with complex leading coefficient
  7. On a functional equation related to derivations in prime rings
  8. Ricci solitons and odd-dimensional spheres
  9. Regularity properties of distributions through sequences of functions
  10. An explicit growth condition for middle-degree cuspidal cohomology of arithmetically defined quaternionic hyperbolic n -manifolds
  11. Operations with monotone operators and the monotonicity of the resulting operators
  12. Normal families of meromorphic functions and shared values
  13. Some New Results on the Chu Duality of Discrete Groups
  14. Cauchy integral and singular integral operator over closed Jordan curves
  15. The zero-free region of the derivative of Selberg zeta functions
  16. A note on Engel words of finite groups
  17. Equivalence of plurisubharmonic singularities and Siu-type metrics
  18. Palindromic Prefixes and Diophantine Approximation
  19. Effective uniqueness of Parry measure and exceptional sets in ergodic theory
  20. On matrix valued square integrable positive definite functions
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