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Mean of the product of derivatives of Hardy's Z-function with Dirichlet polynomial.
- Source :
-
Journal of Number Theory . May2024, Vol. 258, p334-367. 34p. - Publication Year :
- 2024
-
Abstract
- Inspired by the work of Balasubramanian, Conrey and Heath-Brown [1] , we obtain an asymptotic expression for the mean of the product of any two finite order derivatives of Hardy's Z -function times Dirichlet polynomials in short intervals. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYNOMIALS
*ZETA functions
*POLYNOMIAL time algorithms
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 258
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 175242667
- Full Text :
- https://doi.org/10.1016/j.jnt.2023.11.001