Let N g =[g n : 1 n N], where g is a primitive root modulo an odd prime p, and let f g (m, H) denote the number of elements of N g that lie in the interval (m, m+H], where 1 m p. H. Montgomery calculated the asymptotic size of the second moment of f g (m, H) about its mean for a certain range of the
On the mean square distribution of primitive roots of unity
β Scribed by Miriam Hausman; Harold N. Shapiro
- Publisher
- John Wiley and Sons
- Year
- 1973
- Tongue
- English
- Weight
- 204 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let A be a real quadratic algebra of dimension s 3 which satisfies the basic relations of hypercomplex systems. For a large positive parameter X, let A(X) denote the number of squares : 2 with : # A, : integral, and all s components of : 2 lying in the interval [&X, X]. With particular regard to Cay
Meese, R. A. and Rogoff, K., 'Empirical exchange rate models of the seventies: do they fit out of sample?' Journal of International Economics, 14 (1983a). 1, 3-24. Meese, R. A. and Rogoff, K. 'The out-of-sample failure of empirical exchange rate models: sampling error or misspecification?', Chapter