Geodesic
Some New Results on Sums of Primes
Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 11-21

Voir la notice de l'article provenant de la source Math-Net.Ru

We study sums of primes by means of a generalization of Euler's prime number theorem and use the values of the Riemann zeta function for the approximation. We also give the truncation error of these approximations.
Keywords: number theory, prime sums, elliptic theta functions, Möbius function, Möbius inversion theorem, Riemann zeta function, Euler's prime number theorem.
Mots-clés : Euler-totient constant 
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     author = {N. Bagis},
     title = {Some {New} {Results} on {Sums} of {Primes}},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a1/}
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N. Bagis. Some New Results on Sums of Primes. Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 11-21. http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a1/