On the Simultaneous Distribution of the Fractional Parts of Different Powers of Prime Numbers
β Scribed by Wenguang Zhai
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 172 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
The parity of exponents in the prime power factorization of n! is considered. We extend and generalize Berend's result in [On the parity of exponents in the factorization of n!,
Using a special ordering +x , 2 , x N D \ , of the elements of an arbitrary finite field and the term semicyclic consecutive elements, defined in Winterhof (''On the Distribution of Squares in Finite Fields,'' Bericht 96/20, Institute fu¨r Mathematik, Technische Universita¨t Braunschweig), some dist
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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