Zobrazeno 1 - 10 of 579 pro vyhledávání: '"particular values"'
2
A further study on value distribution of the Riemann zeta-function
Autor: Feng Lü
Publikováno v: Mathematische Nachrichten. 291:103-108
The paper concerns the uniqueness problem of Riemann zeta-function. It is showed that the Riemann zeta-function is uniquely determined in terms of the preimages of three complex values a,b,0 except possibly a set G with n(r,G)=o(r), where G is called
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::865d3cc8bb5bfb9fe31c4d1fe5fb3014
https://doi.org/10.1002/mana.201700033
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3
The Euler–Riemann zeta function in some series formulae and its values at odd integer points
Autor: M. Stevanovic, Predrag B. Petrović
Publikováno v: Journal of Number Theory. 180:769-786
The paper presents formulae for certain series involving the Riemann zeta function. These formulae are generalizations, in a natural way, of well known formulae, originating from Leonhard Euler. Formulae that existed only for initial values n = 0 , 1
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9dfcfe846ea9eaabdb83ddc49c126678
https://doi.org/10.1016/j.jnt.2017.05.016
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4
Polylogarithmic zeta functions and their p-adic analogues
Autor: Paul Thomas Young
Publikováno v: International Journal of Number Theory. 13:2751-2768
We consider a broad family of zeta functions which includes the classical zeta functions of Riemann and Hurwitz, the beta and eta functions of Dirichlet, and the Lerch transcendent, as well as the Arakawa–Kaneko zeta functions and the recently intr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1b3e05012d23ecedac98dda3b5550ad6
https://doi.org/10.1142/s1793042117501512
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5
A remark on the distribution of the values of the Riemann zeta function
Autor: Antanas Laurinčikas
Publikováno v: Mathematical Notes. 102:212-218
On a certain probability space, an analytic random element and a random variable both related to the Riemann zeta function and a measurable measure preserving transformation are considered. For these entities, an equality generalizing the classical e
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::28b2ceb95f5d1d47168a6a1643a6047b
https://doi.org/10.1134/s0001434617070239
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6
The Riemann Zeta Function With Even Arguments as Sums Over Integer Partitions
Autor: Mircea Merca
Publikováno v: The American Mathematical Monthly. 124:554-557
In this note, we build on recent work in [7] to establish formulas for ζ(2n) as sums over all the unrestricted integer partitions of n.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7dff9954eed1a8e5e4ef1e7d361268ab
https://doi.org/10.4169/amer.math.monthly.124.6.554
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7
Fast convergence of generalized DeTemple sequences and the relation to the Riemann zeta function
Autor: Gabriel Bercu, Shanhe Wu
Publikováno v: Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-10 (2017)
Journal of Inequalities and Applications
In this paper, we introduce new sequences, which generalize the celebrated DeTemple sequence, having enhanced speed of convergence. We also give a new representation for Euler’s constant in terms of the Riemann zeta function evaluated at positive o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b95724017c4174150f3e48541d83217
http://link.springer.com/article/10.1186/s13660-017-1385-0
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9
The Riemann zeta function and classes of infinite series
Autor: Junesang Choi, Horst Alzer
Publikováno v: Applicable Analysis and Discrete Mathematics. 11:386-398
We present one-parameter series representations for the following series involving the Riemann zeta function ??n=3 n odd ?(n)/n sn and ??n=2 n even ?(n) n sn and we apply our results to obtain new representations for some mathematical constants such
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d3f2eeb18814afb7b31d441e2f55ad91
https://doi.org/10.2298/aadm1702386a
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10
On families of linear recurrence relations for the special values of the Riemann zeta function
Autor: Mircea Merca
Publikováno v: Journal of Number Theory. 170:55-65
In this paper, we use the generating function of the Bernoulli polynomials to introduce a number of infinite families of linear recurrence relations for the Riemann zeta function at positive even integer arguments, ζ ( 2 n ) .
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9aa9dab1956141d7ba98be89d6c2b922
https://doi.org/10.1016/j.jnt.2016.06.015
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