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On the constant in the Mertens product for arithmetic progressions. II: Numerical values
Author(s):
A.
Languasco;
A.
Zaccagnini.
Journal:
Math. Comp.
MSC (2000):
Primary 11-04, 11Y60
Posted:
June 9, 2008
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Abstract:
We give explicit numerical values with 100 decimal digits for the constant in the Mertens product over primes in the arithmetic progressions , for , ..., and .
References:
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Number Theory. Volume 1: Tools and Diophantine Equations, volume 239 of Graduate Texts in Mathematics. Springer, 2007. - 2.
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Mathematical constants, volume 94 of Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge, 2003. MR 2003519 (2004i:00001) - 5.
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Mertens' formula. Preprint. "http://algo.inria.fr/csolve/mrtns.pdf", 2007. - 6.
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A note on Mertens' formula for arithmetic progressions. J. Number Theory, 127:37-46, 2007. MR 2351662 - 7.
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On the constant in the Mertens product for arithmetic progressions. I. Identities. ArXiv website, 2007. arXiv:0706.2807. - 8.
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Additional Information:
A.
Languasco
Affiliation:
Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Trieste 63, 35121 Padova, Italy
Email:
languasco@math.unipd.it
A.
Zaccagnini
Affiliation:
Dipartimento di Matematica, Università di Parma, Parco Area delle Scienze, 53/a, Campus Universitario, 43100 Parma, Italy
Email:
alessandro.zaccagnini@unipr.it
DOI:
10.1090/S0025-5718-08-02148-0
PII:
S 0025-5718(08)02148-0
Received by editor(s):
December 11, 2007
Received by editor(s) in revised form:
February 12, 2008
Posted:
June 9, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
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