On the sign changes in the remainder term of an asymptotic formula for the number of square-free numbers
β Scribed by A. Sankaranarayanan
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 274 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The present article is really a continuation of the author's earlier paper [,l] on this subject. The line of investigation described previously is rounded off by deriving some further numcrical results, which include, in particular, an asymptotic fonnula for the number of complete propositional conn
The arithmetic function r & k (n) counts the number of ways to write a natural number n as the difference of two kth powers (k 2 fixed). The investigation of the asymptotic behaviour of the Dirichlet summatory function of r & k (n) leads in a natural way to a certain error term 2 & k (t). In this ar
In this paper it is shown that for every fixed k 1> 3, G(n; d = k) = 2(~) (6.2 -k + o(1))", where G(n; d = k) denotes the number of graphs of order n and diameter equal to k. It is also proved that for every fixed k>~2, lim,~G(n;d=k)/G(n;d=k+ 1)=lim.o~G(n;d=n-k)/ G(n;d=n-k+ 1)= oo hold.