JP Journal of Algebra, Number Theory and Applications
Volume 5, Issue 2, Pages 269 - 286
(August 2005)
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MEAN VALUE ESTIMATES FOR PRODUCTS OF SHIFTED AND ORDINARY DIRICHLET POLYNOMIALS
Stephan Baier (Germany)
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Abstract: In the present paper we establish new mean value estimates for shifted Dirichlet polynomials
with algebraic shift parameter q. We then employ these mean value estimates to improve some results in [Acta Arith. 113 (2004), 77-101] on the distribution of pl modulo 1, where p runs over the prime numbers and l is a fixed positive real number. |
Keywords and phrases: mean values of Dirichlet polynomials. |
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