Zobrazeno 1 - 10
of 126
pro vyhledávání: '"C. Y. Yildirim"'
Autor:
S. W. Graham, Daniel A. Goldston, Jordan Schettler, Apoorva Panidapu, János Pintz, C. Y. Yildirim
This paper is intended as a sequel to a paper arXiv:0803.2636 written by four of the coauthors here. In the paper, they proved a stronger form of the Erd\H{o}s-Mirksy conjecture which states that there are infinitely many positive integers $x$ such t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6cf374520aa348c7a52adf4006f5fc3d
http://arxiv.org/abs/2003.03661
http://arxiv.org/abs/2003.03661
Publikováno v:
Journal of Mathematical Analysis and Applications. 463:134-160
In this article we prove that, as n → ∞ , ∑ j , k = 1 n − 1 1 3 − cos 2 π j n − cos 2 π k n − cos 2 π ( j + k ) n ∼ n 2 log n 3 π . We also obtain the secondary term of size ≍ n 2 to be followed by an error term
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::657f38c5a587195684164b7a0af87d8f
https://doi.org/10.1016/j.jmaa.2018.03.014
https://doi.org/10.1016/j.jmaa.2018.03.014
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319683751
In this work, average values of the functional equation factors of the Riemann zeta-function and Dirichlet L-functions at the zeros of derivatives of these functions are given with the intention of shedding a little light on the interaction between t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3e027236b24824128e958aa8589a774
https://doi.org/10.1007/978-3-319-68376-8_5
https://doi.org/10.1007/978-3-319-68376-8_5
Autor:
Yunus Karabulut, C. Y. Yildirim
Publikováno v:
Exploring the Riemann Zeta Function ISBN: 9783319599687
By modifying Montgomery’s calculation of the pair correlation of zeta zeros, we derive analogous results. In this article we work out the correlation of zeta zeros with the relative maxima of the zeta-function on the critical line, the pair correla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d4e6f362a507e66e6143f9eab5e226b
https://doi.org/10.1007/978-3-319-59969-4_7
https://doi.org/10.1007/978-3-319-59969-4_7
Publikováno v:
Publicationes Mathematicae Debrecen
We prove that a positive proportion of the gaps between consecutive primes are short gaps of length less than any fixed fraction of the average spacing between primes.
9 pages
9 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1de42a7cb372f6464853b4654508a2e
https://doi.org/10.5486/pmd.2011.5140
https://doi.org/10.5486/pmd.2011.5140
Publikováno v:
Proceedings of the London Mathematical Society. 98:741-774
Let $q_n$ denote the $n^{th}$ number that is a product of exactly two distinct primes. We prove that $$\liminf_{n\to \infty} (q_{n+1}-q_n) \le 6.$$ This sharpens an earlier result of the authors (arXivMath NT/0506067), which had 26 in place of 6. Mor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::820a44c7e086ed2529650c3b3d166d60
https://doi.org/10.1112/plms/pdn046
https://doi.org/10.1112/plms/pdn046
Autor:
Daniel A. Goldston, C. Y. Yildirim
Publikováno v:
Proceedings of the London Mathematical Society. 95:199-247
We calculate the triple correlations for the truncated divisor sum λR(n). The λR(n) behave over certain averages just as the prime counting von Mangoldt function Λ(n) does or is conjectured to do. We also calculate the mixed (with a factor of Λ(n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c7da053ed69ad2bbb3290f8a76894f0
https://doi.org/10.1112/plms/pdm010
https://doi.org/10.1112/plms/pdm010
Autor:
Daniel A. Goldston, C. Y. Yildirim
Publikováno v:
Canadian Journal of Mathematics
Consider the variance for the number of primes that are both in the interval [y,y + h] for y ∈ [x,2x] and in an arithmetic progression of modulus q. We study the total variance obtained by adding these variances over all the reduced residue classes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b32dd0ce9227ceebd5a9b4a251003dd6
https://doi.org/10.4153/cjm-1998-031-9
https://doi.org/10.4153/cjm-1998-031-9
Publikováno v:
Acta Arithmetica
α e−t dt as x→∞, for any two fixed real numbers β > α ≥ 0. Gallagher’s calculation [Ga] shows that this conjecture can be deduced from the Hardy–Littlewood prime k-tuples conjecture (see [S2]). Hence an immediate query to be conducted
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d55740f0db4985351461e075f3f2005
Publikováno v:
Int. Math. Res. Notices.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=erc_________::bac6cf482f82bdf94e4abf7e53cf9824