We establish explicit expressions for both P and E in n x a(n)=P(x)+E(x)= ``principal term''+``error term'', when the (complex) arithmetical function a has a generating function of the form `(s) Z(s), where `is the Riemann zeta function, and where Z has a representation as a Dirichlet series having
β¦ LIBER β¦
Asymptotic results for a class of arithmetical functions
β Scribed by J. Chidambaraswamy; R. Sitaramachandrarao
- Publisher
- Springer Vienna
- Year
- 1985
- Tongue
- English
- Weight
- 285 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0026-9255
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## Abstract This paper deals with the average order of arithmetic functions __a(n)__ with a generating function of the shape (1.1) where __f__~__k__~ and __g__~__j__~ possess certain characteristic properties of the zeraβfunction. Under fairly general conditions, a lower bound for the error term in
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