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On the Distribution of Small Powers of a Primitive Root by C.I Cobeli; S.M Gonek; A Zaharescu is a Mathematics article available to read on EtoBox.
What is On the Distribution of Small Powers of a Primitive Root about?
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 parameters N and H and asked to what extent this range could be increased if one were to average over all the primitive roots (mod p). We address this question as well as the related one of averaging over the prime p. 2001 Academic Press ## 1. INTRODUCTION AND STATEMENT OF RESULTS Let g be a primitive root modulo an odd prime p and let
Who reads On the Distribution of Small Powers of a Primitive Root?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- C.I Cobeli; S.M Gonek; A Zaharescu
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-314X)
- Published
- 2001
- Language
- EN
- Field
- Mathematics (Physical Sciences)