An Improvement on a Theorem of Titchmarsh on the Mean Square of Formula
β Scribed by Balasubramanian, R.
- Book ID
- 120101250
- Publisher
- Oxford University Press
- Year
- 1978
- Tongue
- English
- Weight
- 643 KB
- Volume
- s3-36
- Category
- Article
- ISSN
- 0024-6115
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
we mean as usual the space of complex-valued measurable functions defined on [0, 1] whose pth powers are integrable. By L~ [a, b] where 0 ~ a ~ b ~ 1 we shall mean here the closed subspace of L~[0, 1] consisting of functions vanishing a.e. on the complement of [a, b]. The support of a functionf defi