Zobrazeno 1 - 10
of 637
pro vyhledávání: '"Mertens theorem"'
Autor:
Sawian Jaidee
Publikováno v:
Songklanakarin Journal of Science and Technology (SJST), Vol 44, Iss 1, Pp 201-209 (2022)
The dynamical Mertens' Theorem gives asymptotics for weighted averages of numbers of closed orbits in S-integer dynamical systems, which are constructed from arithmetic data, namely , , and S a subset of rational primes. The way of finding such asy
Externí odkaz:
https://doaj.org/article/42936128ad0c480fa481185e5ccfcb92
We generalize Mertens' product theorem to Chebotarev sets of prime ideals in Galois extensions of number fields. Using work of Rosen, we extend an argument of Williams from cyclotomic extensions to this more general case. Additionally, we compute the
Externí odkaz:
http://arxiv.org/abs/2103.14747
Autor:
Jaidee, Sawian1 jsawia@kku.ac.th
Publikováno v:
Songklanakarin Journal of Science & Technology. Jan/Feb2022, Vol. 44 Issue 1, p201-209. 9p.
Akademický článek
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Autor:
Epstein, Neil, Shapiro, Jay
Publikováno v:
Proceedings of the American Mathematical Society, 2016 Mar 01. 144(3), 917-924.
Externí odkaz:
https://www.jstor.org/stable/procamermathsoci.144.3.917
Autor:
Büthe, Jan
Publikováno v:
Acta Arith. 171 (2015), 183-195
The function $\sum_{p\leq x} \frac{1}{p} - \log\log(x) - M$ 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 $\exp(495.702833165)$.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/1503.01277
Autor:
Yashiro, Yoshikatsu
In 1874, Mertens proved the approximate formula for partial Euler product for Riemann zeta function at $s=1$, which is called Mertens' theorem. In this paper, we generalize Mertens' theorem for Selberg class and show the prime number theorem for Selb
Externí odkaz:
http://arxiv.org/abs/1311.0754
Autor:
Epstein, Neil, Shapiro, Jay
We prove a power series ring analogue of the Dedekind-Mertens lemma. Along the way, we give limiting counterexamples, we note an application to integrality, and we correct an error in the literature.
Comment: Added two references, as per referee
Comment: Added two references, as per referee
Externí odkaz:
http://arxiv.org/abs/1402.1100
Publikováno v:
Proceedings of the American Mathematical Society, 2011 May 01. 139(5), 1819-1824.
Externí odkaz:
http://dx.doi.org/10.1090/S0002-9939-2010-10632-9
Publikováno v:
Proceedings of the American Mathematical Society 139(05): 1819-1824 (2011)
A dynamical Mertens' theorem for ergodic toral automorphisms with error term O(N^{-1}) is found, and the influence of resonances among the eigenvalues of unit modulus is examined. Examples are found with many more, and with many fewer, periodic orbit
Externí odkaz:
http://arxiv.org/abs/0801.2082