A theorem on optimum allocation for a class of symmetric multilinear return functions
β Scribed by Julian Keilson
- Publisher
- Elsevier Science
- Year
- 1966
- Tongue
- English
- Weight
- 158 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0022-247X
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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
proved a relation between the primitives of the classes 8 d (2) and 8 d (1) of 2-and 1-symmetric characteristic functions on R d , respectively. We will give a straightforward proof of his relation, answering a question of his. To do this we use the calculus of generalized hypergeometric functions.