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Matematicheskie Zametki, 2011, Volume 90, Issue 1, Pages 11–21
DOI: https://doi.org/10.4213/mzm5263 (Mi mzm5263) 		 
Some New Results on Sums of Primes

N. Bagis

Aristotle University of Thessaloniki
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DOI: https://doi.org/10.4213/mzm5263
Abstract: 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, Euler-totient constant, Möbius function, Möbius inversion theorem, Riemann zeta function, Euler's prime number theorem.
Received: 28.06.2008
English version:
Mathematical Notes, 2011, Volume 90, Issue 1, Pages 10–19
DOI: https://doi.org/10.1134/S0001434611070029
Bibliographic databases:
Document Type: Article
UDC: 511.33
Language: Russian
Citation: N. Bagis, “Some New Results on Sums of Primes”, Mat. Zametki, 90:1 (2011), 11–21; Math. Notes, 90:1 (2011), 10–19
Citation in format AMSBIB
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