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This is the Prime Pages' interface to our BibTeX database.  Rather than being an exhaustive database, it just lists the references we cite on these pages.  Please let me know of any errors you notice.
References: [ Home | Author index | Key index | Search ]

Item(s) in original BibTeX format

@article{Dusart99,
	author={P. Dusart},
	title={The $k^{th}$ prime is greater than $k(\ln k+\ln \ln k-1)$ for $k\geq 2$},
	abstract={Rosser and Schoenfeld have use the fact that the first $3,500,000$ zeros
		of the Riemann zeta function lie on the critical line to give estimates
		on $\psi(x)$ and $\theta(x)$. With an improvement of the above result by
		Brent {\it et. al.}, we are able to improve these estimates and to show
		that the $k^{th}$ prime is greater than $k(\ln k + \ln \ln k -1)$ for $k
		\ge 2$. We give further results without proof.},
	journal= mc,
	volume= 68,
	year= 1999,
	pages={411--415},
	month={January},
	number= 225 ,
	mrnumber={99d:11133}
}

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