Upper bounds for fractional joint moments of the Riemann zeta function
نویسندگان
چکیده
We establish upper bounds for the joint moments of $2k$th power Riemann zeta function with $2h$th its derivative $0 \leq h 1$ and $1\leq k 2$. These are expected to be sharp based upon predictions from random m
منابع مشابه
Moments of the Riemann Zeta-function
0 |ζ( 1 2 + it)| dt. For positive real numbers k, it is believed that Mk(T ) ∼ CkT (logT ) 2 for a positive constant Ck. A precise value for Ck was conjectured by Keating and Snaith [9] based on considerations from random matrix theory. Subsequently, an alternative approach, based on multiple Dirichlet series and producing the same conjecture, was given by Diaconu, Goldfeld and Hoffstein [4]. R...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2022
ISSN: ['0065-1036', '1730-6264']
DOI: https://doi.org/10.4064/aa220127-11-4