Zobrazeno 1 - 10
of 192
pro vyhledávání: '"Problems involving arithmetic progressions"'
Autor:
A. N. Rybalov
Publikováno v:
Algebra and Logic. 56:232-235
Gӧdel’s incompleteness theorem asserts that if formal arithmetic is consistent then there exists an arithmetic statement such that neither the statement nor its negation can be deduced from the axioms of formal arithmetic. Previously [3], it was p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4eca74cced2afa17cb743de38d4ede82
https://doi.org/10.1007/s10469-017-9442-9
https://doi.org/10.1007/s10469-017-9442-9
Autor:
José A. Adell, Alberto Lekuona
Publikováno v:
Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-5 (2017)
We give two extensions of the classical formula for sums of powers on arithmetic progressions. This is achieved by using an identity involving binomial mixtures, which can be viewed as a generalization of the binomial transform.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5a78cab36c6ef3855957a4968bbc507
http://link.springer.com/article/10.1186/s13662-017-1250-y
http://link.springer.com/article/10.1186/s13662-017-1250-y
Publikováno v:
Finite Fields and Their Applications. 44:135-147
Several recent papers have considered the Ramsey-theoretic problem of how large a subset of integers can be without containing any 3-term geometric progressions. This problem has also recently been generalized to number fields, determining bounds on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::773467037a0a1b9beff55515f3a8c1e0
https://doi.org/10.1016/j.ffa.2016.10.002
https://doi.org/10.1016/j.ffa.2016.10.002
Autor:
Yu Ding, Yong-Gao Chen
Publikováno v:
Proceedings of the American Mathematical Society. 145:1833-1836
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d526b38b0b8aa7819aac5b6e5ea3b57
https://doi.org/10.1090/proc/13201
https://doi.org/10.1090/proc/13201
Autor:
Michael Boshernitzan, Jon Chaika
Publikováno v:
Proceedings of the American Mathematical Society. 144:5029-5034
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::701ae23eba0230b30a95bcd665280774
https://doi.org/10.1090/proc/13273
https://doi.org/10.1090/proc/13273
Autor:
Bin Feng
Publikováno v:
Indagationes Mathematicae. 27:749-763
Suppose q is not a Siegel ‘exceptional’ modulus and let e be sufficiently small positive constant, in this paper, we show that the arcsine law on divisors holds in arithmetic progressions for q ⩽ exp { ( 1 4 − e ) ( log 2 x ) 2 } , which gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::036a81dbd9aaa686c0d83a4e29860382
https://doi.org/10.1016/j.indag.2016.01.008
https://doi.org/10.1016/j.indag.2016.01.008
Autor:
Mehtaab Sawhney, David Stoner
Publikováno v:
The Electronic Journal of Combinatorics. 25
Hegarty conjectured for $n\neq 2, 3, 5, 7$ that $\mathbb{Z}/n\mathbb{Z}$ has a permutation which destroys all arithmetic progressions mod $n$. For $n\ge n_0$, Hegarty and Martinsson demonstrated that $\mathbb{Z}/n\mathbb{Z}$ has an arithmetic-progres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce5c16e9726d6428a1d63030cfcb4b31
https://doi.org/10.37236/7192
https://doi.org/10.37236/7192
Autor:
Endre Szemerédi
Publikováno v:
Communications in Mathematics and Statistics. 3:315-328
This lecture note is mainly about arithmetic progressions, different regularity lemmas and removal lemmas. We will be very brief most of the time, trying to avoid technical details, even definitions. For most technical details, we refer the reader to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28ae83057741baa483c972a34ae6776f
https://doi.org/10.1007/s40304-015-0062-1
https://doi.org/10.1007/s40304-015-0062-1
Autor:
Ramon M. Nunes
Publikováno v:
Journal of Number Theory. 153:1-36
We give asymptotics for correlation sums linked with the distribution of squarefree numbers in arithmetic progressions over a fixed modulus. As a particular case we improve previous results concerning the variance.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b4934bf8f0450d8ad971f5f0c56d740
https://doi.org/10.1016/j.jnt.2014.12.025
https://doi.org/10.1016/j.jnt.2014.12.025
Autor:
Paulina Szczuka
Publikováno v:
International Journal of Number Theory. 11:673-682
In this paper we characterize the closures of arithmetic progressions in Kirch's topology [Formula: see text] on the set of positive integers with the base consisting of arithmetic progressions {an + b} such that numbers a and b are co-prime and a is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03de6b509707d079ae594ae13911617d
https://doi.org/10.1142/s1793042115500360
https://doi.org/10.1142/s1793042115500360