Results 21 to 30 of about 683 (92)
Short Kloosterman sums to powerful modulus
We obtain the estimate of incomplete Kloosterman sum to powerful modulus $q$.
Korolev, Maxim A.
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ON BINARY CORRELATIONS OF MULTIPLICATIVE FUNCTIONS
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
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Improving an inequality for the divisor function
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.
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The least common multiple of a sequence of products of linear polynomials
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
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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
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
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
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 373-383, 1993.
Graeme L. Cohen, Peter Hagis
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Small values of the Euler function and the Riemann hypothesis
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
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Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms
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
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