Results 21 to 30 of about 683 (92)

Short Kloosterman sums to powerful modulus

open access: yes, 2016
We obtain the estimate of incomplete Kloosterman sum to powerful modulus $q$.
Korolev, Maxim A.
core   +1 more source

ON BINARY CORRELATIONS OF MULTIPLICATIVE FUNCTIONS

open access: yesForum of Mathematics, Sigma, 2018
We study logarithmically averaged binary correlations of bounded multiplicative functions $g_{1}$ and $g_{2}$ . A breakthrough on these correlations was made by Tao, who showed that the
JONI TERÄVÄINEN
doaj   +1 more source

Improving an inequality for the divisor function

open access: yes, 2018
We improve using elementary means an explicit bound on the divisor function due to Friedlander and Iwaniec. Consequently we modestly improve a result regarding a sieving inequality for Gaussian sequences.Comment: 8 pages, to appear in Bull ...
Lay, Jeffrey P. S.
core   +1 more source

The least common multiple of a sequence of products of linear polynomials

open access: yes, 2011
Let $f(x)$ be the product of several linear polynomials with integer coefficients. In this paper, we obtain the estimate: $\log {\rm lcm}(f(1), ..., f(n))\sim An$ as $n\rightarrow\infty $, where $A$ is a constant depending on $f$.Comment: To appear in ...
A. Selberg   +12 more
core   +1 more source

A prospective study evaluating the correlation between local weather conditions, pollen counts and pruritus of dogs with atopic dermatitis

open access: yesVeterinary Dermatology, Volume 35, Issue 5, Page 500-507, October 2024.
Abstract Background Canine atopic dermatitis (cAD) is a hereditary, generally pruritic and predominantly T‐cell‐driven inflammatory skin disease, involving an interplay between skin barrier abnormalities, allergen sensitisation and microbial dysbiosis.
L. Widorn   +2 more
wiley   +1 more source

The prenatal caregiving expectations questionnaire‐revised version: Factor structure, internal consistency, and initial construct validity

open access: yesInfant Mental Health Journal: Infancy and Early Childhood, Volume 45, Issue 5, Page 541-556, September 2024.
Abstract An efficient, multidimensional instrument is needed to screen non‐optimal prenatal parental representations predictive of postnatal parenting behavior and child attachment. The present work aimed to revise and validate the Prenatal Caregiving Expectations Questionnaire—Revised (PCEQ‐R).
Katrine Røhder   +5 more
wiley   +1 more source

Establishment of clinical criteria for the diagnosis of adverse food reactions in dogs with atopic dermatitis

open access: yesVeterinary Dermatology, Volume 35, Issue 4, Page 418-431, August 2024.
Background – Diagnosis of canine adverse food reactions (AFRs) is based on vague criteria, such as ‘>50% improvement’ during elimination diet trial (EDT) followed by ‘deterioration’ during provocation test (PT). Objective – The objective of the study was to use predefined criteria to evaluate response during EDT [i.e., Owner Global Assessment of ...
Evi I. Sofou   +4 more
wiley   +1 more source

Arithmetic functions associated with infinitary divisors of an integer

open access: yes, 1993
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 373-383, 1993.
Graeme L. Cohen, Peter Hagis
wiley   +1 more source

Small values of the Euler function and the Riemann hypothesis

open access: yes, 2012
Let $\vfi$ be Euler's function, $\ga$ be Euler's constant and $N_k$ be the product of the first $k$ primes. In this article, we consider the function $c(n) =(n/\vfi(n)-e^\ga\log\log n)\sqrt{\log n}$. Under Riemann's hypothesis, it is proved that $c(N_k)$
Nicolas, Jean-Louis
core   +4 more sources

Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms

open access: yes, 2013
Let $l$ and $m$ be two integers with $l>m\ge 0$, and let $a$ and $b$ be integers with $a\ge 1$ and $a+b\ge 1$.
B. Farhi   +10 more
core   +1 more source

Home - About - Disclaimer - Privacy