Arithmetic Progressions in a Unique Factorization Domain
, 2012 Pillai showed that any sequence of consecutive integers with at most 16 terms possesses one term that is relatively prime to all the others. We give a new proof of a slight generalization of this result to arithmetic progressions of integers and further ...
Ghorpade, Sudhir R., Ram, Samrith
core +1 more source
Asymptotic behavior of the least common multiple of consecutive reducible quadratic progression terms [PDF]
, 2014 Let $l$ and $m$ be two integers with $l>m\ge 0$, and let $f(x)$ be the product of two linear polynomials with integer coefficients.
Hong, Shaofang, Qian, Guoyou
core
Arithmetic Properties of Periodic Maps
, 2004 Let $\psi_1,...,\psi_k$ be periodic maps from $\Bbb Z$ to a field of characteristic p (where p is zero or a prime). Assume that positive integers $n_1,...,n_k$ not divisible by p are their periods respectively.
Sun, Zhi-Wei
core +4 more sources
A problem of Rankin on sets without geometric progressions [PDF]
, 2014 A geometric progression of length $k$ and integer ratio is a set of numbers of the form $\{a,ar,\dots,ar^{k-1}\}$ for some positive real number $a$ and integer $r\geq 2$.
Nathanson, Melvyn B., O'Bryant, Kevin
core
Large subsets of Z m n without arithmetic progressions. [PDF]
Des Codes Cryptogr, 2023 Elsholtz C, Klahn B, Lipnik GF.
europepmc +1 more source
COVID-19 Identification System Using Transfer Learning Technique With Mobile-NetV2 and Chest X-Ray Images. [PDF]
Front Public Health, 2022 Ragab M +6 more
europepmc +1 more source
Does electrophilic activation of nitroalkanes in polyphosphoric acid involve formation of nitrile oxides? [PDF]
RSC Adv, 2021 Aksenov AV +8 more
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Hsp70 and the Unfolded Protein Response as a Challenging Drug Target and an Inspiration for Probe Molecule Development. [PDF]
ACS Med Chem Lett, 2020 Terrab L, Wipf P.
europepmc +1 more source
Connections between connected topological spaces on the set of positive integers
Open Mathematics, 2013 Szczuka Paulina
doaj +1 more source