Analytic Hausdorff gaps II: The density zero ideal

Ilijas Farah

doi:10.1007/bf02773608

Analytic Hausdorff gaps II: The density zero ideal

Israel Journal of Mathematics ◽

10.1007/bf02773608 ◽

2006 ◽

Vol 154 (1) ◽

pp. 235-246 ◽

Cited By ~ 8

Author(s):

Ilijas Farah

Keyword(s):

Density Zero ◽

Hausdorff Gaps

Hausdorff Gaps and Limits

10.1016/s0049-237x(08)x7009-0 ◽

1994 ◽

Keyword(s):

Hausdorff Gaps

s -Maximal Nonbases of Density Zero

Journal of the London Mathematical Society ◽

10.1112/jlms/s2-15.1.29 ◽

1977 ◽

Vol s2-15 (1) ◽

pp. 29-34 ◽

Cited By ~ 6

Author(s):

Melvyn B. Nathanson

Keyword(s):

Density Zero

C/N Ratio and its Effect on Biofloc Development, Water Quality, and Performance of Penaeus Vannamei Juveniles High-Density-Zero-Exchange-Outdoor Tank System

Vannamei Shrimp Farming ◽

10.1201/9781003083276-10 ◽

2020 ◽

pp. 133-146

Author(s):

Wu-Jie Xu ◽

Timothy C. Morris ◽

Tzachi M. Samocha

Keyword(s):

Water Quality ◽

High Density ◽

Penaeus Vannamei ◽

Density Zero ◽

Tank System ◽

And Performance

On a Theorem of Niven

Canadian Mathematical Bulletin ◽

10.4153/cmb-1979-018-5 ◽

1979 ◽

Vol 22 (1) ◽

pp. 113-115

Author(s):

R. Sita Rama Chandra Rao ◽

G. Sri Rama Chandra Murty

Keyword(s):

Density Zero

In [4], Niven proved that the set A of integers for all s ≥ l and all n ≥ 1 has density zero, being the sum of the sth powers of all positive divisors of n. However his argument contains a mistake (see Remark 1). In this paper we give a proof of Niven's result and establish several related results, one of which generalizes a result of Dressier (See Theorem 3 and Remark 2).

Representation functions avoiding integers with density zero

European Journal of Combinatorics ◽

10.1016/j.ejc.2021.103490 ◽

2022 ◽

Vol 102 ◽

pp. 103490

Author(s):

Jin-Hui Fang

Keyword(s):

Density Zero

Weak Hausdorff Gaps and the 𝔭 ≤ t Problem

Mathematical Logic Quarterly ◽

10.1002/malq.19990450109 ◽

1999 ◽

Vol 45 (1) ◽

pp. 95-104

Author(s):

Kyriakos Keremedis

Keyword(s):

Hausdorff Gaps

The density zero ideal and the splitting number

Annals of Pure and Applied Logic ◽

10.1016/j.apal.2020.102807 ◽

2020 ◽

Vol 171 (7) ◽

pp. 102807

Author(s):

Dilip Raghavan

Keyword(s):

Splitting Number ◽

Density Zero

Projective Hausdorff gaps

Archive for Mathematical Logic ◽

10.1007/s00153-013-0355-6 ◽

2013 ◽

Vol 53 (1-2) ◽

pp. 57-64

Author(s):

Yurii Khomskii

Keyword(s):

Hausdorff Gaps

Nonbases of Density Zero not Contained in Maximal Nonbases

Journal of the London Mathematical Society ◽

10.1112/jlms/s2-15.3.403 ◽

1977 ◽

Vol s2-15 (3) ◽

pp. 403-405 ◽

Cited By ~ 4

Author(s):

Paul Erdős ◽

Melvyn B. Nathanson

Keyword(s):

Density Zero

Ordinary reduction of K3 surfaces

Open Mathematics ◽

10.2478/s11533-009-0013-8 ◽

2009 ◽

Vol 7 (2) ◽

Cited By ~ 2

Author(s):

Fedor Bogomolov ◽

Yuri Zarhin

Keyword(s):

Number Field ◽

Field Extension ◽

K3 Surfaces ◽

K3 Surface ◽

Zero Set ◽

Algebraic Field ◽

Density Zero ◽

Archimedean Place ◽

Ordinary Reduction

AbstractLet X be a K3 surface over a number field K. We prove that there exists a finite algebraic field extension E/K such that X has ordinary reduction at every non-archimedean place of E outside a density zero set of places.