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The Mean Square of the Error Term for the Fourth Power Moment of the Zeta-Function
Proceedings of the London Mathematical Society, 1994Let \[ \int^ T_ 0 \left | \zeta \Bigl( {1 \over 2} + it \Bigr) \right |^ 4dt = Tf (\log T) + E_ 2(T), \] where \(f\) is an appropriate quartic polynomial. It is shown here that \[ \int^ T_ 0 E_ 2(t)^ 2dt \ll T^ 2 (\log T)^ C \] for some constant \(C\). This remarkable result implies the estimates \(E_ 2 (T) \ll T^{2/3} (\log T)^ C\), and hence \(\zeta (
Ivić, Aleksandar, Motohashi, Yoichi
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A note on fourth power mean of the general two-term exponential sums
Mathematical ReportsLet $q$, $m$, $n$ be any integer with $q\ge 3$, and $\lambda$ a Dirichlet character $\bmod $ $q$. An explicit formula for the fourth power mean $$ \mathop{\sum}_{{m=1}\atop{(m,q)=1}}^{q} \biggl| \mathop{\sum}_{a=1}^{q} \lambda(a) e\biggl( \frac{ma^3+na}{q} \biggr) \biggr|^4 $$ is derived.
Mu, Yaya, Zhang, Tianping
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Cervical cancer prevention and control in women living with human immunodeficiency virus
Ca-A Cancer Journal for Clinicians, 2021Philip E Castle, Vikrant V Sahasrabuddhe
exaly
2016 US lymphoid malignancy statistics by World Health Organization subtypes
Ca-A Cancer Journal for Clinicians, 2016Lauren R Teras +2 more
exaly
Adjuvant Treatment of Colorectal Cancer
Ca-A Cancer Journal for Clinicians, 2007Brian M Wolpin
exaly