Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Doğa Can Sertbaş"'
Autor:
Doğa Can Sertbaş, Haydar Göral
Publikováno v:
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, Vol 8, Iss 1, Pp 642-653 (2020)
In this study, we consider the summatory function of convolutions of the Möbius function with harmonic numbers, and we show that these summatory functions are linked to the distribution of prime numbers. In particular, we give infinitely many asympt
Externí odkaz:
https://doaj.org/article/0d24fe5d242948e8a012429a8d856cc9
Publikováno v:
International Journal of Number Theory. :1-36
In this paper, we study the classification of sequences containing arbitrarily long arithmetic progressions. First, we deal with the question how the polynomial map [Formula: see text] can be extended so that it contains arbitrarily long arithmetic p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a5e90b15ad95acb62103b31af8735e23
https://doi.org/10.1142/s1793042123500926
https://doi.org/10.1142/s1793042123500926
Publikováno v:
The American Mathematical Monthly. 130:114-125
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ff78a270c1e1f4ba92ffac08f8ca331
https://doi.org/10.1080/00029890.2022.2141543
https://doi.org/10.1080/00029890.2022.2141543
Autor:
Doğa Can Sertbaş
Publikováno v:
Comptes Rendus. Mathématique. 358:1179-1185
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e45520f5a17fd1006160f0469617729
https://doi.org/10.5802/crmath.137
https://doi.org/10.5802/crmath.137
Autor:
Doğa Can Sertbaş, Haydar Göral
Publikováno v:
Proceedings of the American Mathematical Society. 147:567-581
WOS: 000454742000015
We show that the height density of a finite sum of fractions is zero. In fact, we give quantitative estimates in terms of the height function. Then, we focus on the unit fraction solutions in the ring of integers of a given
We show that the height density of a finite sum of fractions is zero. In fact, we give quantitative estimates in terms of the height function. Then, we focus on the unit fraction solutions in the ring of integers of a given
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11ee27e5c4b29585e367ecdbe2b2ced3
https://doi.org/10.1090/proc/14270
https://doi.org/10.1090/proc/14270
Autor:
Haydar Göral, Doğa Can Sertbaş
Publikováno v:
Volume: 49, Issue: 2 586-598
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
We show that Euler sums of generalized hyperharmonic numbers can be evaluated in terms of Euler sums of generalized harmonic numbers and special values of the Riemann zeta function. Then we focus on the non-integerness of generalized hyperharmonic nu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5dc55c7ad9d518a774956f58c0616978
https://dergipark.org.tr/tr/pub/hujms/issue/53568/544489
https://dergipark.org.tr/tr/pub/hujms/issue/53568/544489
Autor:
Doğa Can Sertbaş, Haydar Göral
WOS: 000431993800008
In 1862, Wolstenholme proved that the numerator of the (p - 1)th harmonic number is divisible by p(2) for any prime p >= 5. A variation of this theorem was shown by Alkan and Leudesdorf. Motivated by these results, we prove
In 1862, Wolstenholme proved that the numerator of the (p - 1)th harmonic number is divisible by p(2) for any prime p >= 5. A variation of this theorem was shown by Alkan and Leudesdorf. Motivated by these results, we prove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fcb58e3e4acbe18320b0b324f65e30b6
https://hdl.handle.net/20.500.12418/6293
https://hdl.handle.net/20.500.12418/6293
Autor:
Haydar Göral, Doğa Can Sertbaş
WOS: 000386418700026
It is an open question asked by Mezo that there is no hyperharmonic integer except 1. So far it has been proved that all hyperharmonic numbers are not integers up to order r = 25. In this paper, we extend the current results
It is an open question asked by Mezo that there is no hyperharmonic integer except 1. So far it has been proved that all hyperharmonic numbers are not integers up to order r = 25. In this paper, we extend the current results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e53f55f09bdaf2bfb99803348850c7a
https://hdl.handle.net/20.500.12418/6876
https://hdl.handle.net/20.500.12418/6876