On generalized Euler constants and Schlömilch–Lemonnier type inequalities
نویسندگان
چکیده
منابع مشابه
Generalized Euler constants 3
We study the distribution of a family {γ(P)} of generalized Euler constants arising from integers sieved by finite sets of primes P . For P = Pr, the set of the first r primes, γ(Pr)→ exp(−γ) as r →∞. Calculations suggest that γ(Pr) is monotonic in r, but we prove it is not. Also, we show a connection between the distribution of γ(Pr) − exp(−γ) and the Riemann hypothesis.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.06.041