On the first sign change in Mertens' theorem
Jan Büthe
Acta Arithmetica, Tome 168 (2015), p. 183-195 / Harvested from The Polish Digital Mathematics Library
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The function ∑p≤x1/p-loglog(x)-M is known to change sign infinitely often, but so far all calculated values are positive. In this paper we prove that the first sign change occurs well before exp(495.702833165).

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:279366 
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     title = {On the first sign change in Mertens' theorem},
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     volume = {168},
     year = {2015},
     pages = {183-195},
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     language = {en},
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Jan Büthe. On the first sign change in Mertens' theorem. Acta Arithmetica, Tome 168 (2015) pp. 183-195. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-2-5/