Asymptotics of an arithmetic sum
β Scribed by A. A. Karatsuba
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1978
- Tongue
- English
- Weight
- 173 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We obtain complete asymptotic expansions for certain binomial sums, including the Ape ry numbers. In general, binomial sums cannot be expressed by closed formulae, but they do satisfy polynomial recurrence relations. We use the asymptotic expansion of a binomial sum to calculate a lower bound for th
The absolutely convergent exponential sum is studied for m β +β and fixed p when the parameter ΞΈ is allowed to become large such that ΞΈ/m remains finite. This situation corresponds, in general, to the trace in the complex plane of the partial sums of S p (ΞΈ; m) consisting of a multiple spiral struc