Results 21 to 30 of about 273 (50)
Uncertainty principles connected with the M\"{o}bius inversion formula [PDF]
, 2012 We say that two arithmetic functions f and g form a Mobius pair if f(n) = \sum_{d \mid n} g(d) for all natural numbers n. In that case, g can be expressed in terms of f by the familiar Mobius inversion formula of elementary number theory.
Pollack, Paul, Sanna, Carlo
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Infant 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
Veterinary 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
Sums of arithmetic functions over values of binary forms
, 2006 Given a suitable arithmetic function h, we investigate the average order of h as it ranges over the values taken by an integral binary form F. A general upper bound is obtained for this quantity, in which the dependence upon the coefficients of F is made
Browning, T. D., de la Breteche, R.
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Chebyshev's bias and generalized Riemann hypothesis [PDF]
, 2011 It is well known that $li(x)>\pi(x)$ (i) up to the (very large) Skewes' number $x_1 \sim 1.40 \times 10^{316}$ \cite{Bays00}. But, according to a Littlewood's theorem, there exist infinitely many $x$ that violate the inequality, due to the specific ...
Alamadhi, Adel +2 more
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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
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Log-convexity and the overpartition function. [PDF]
Ramanujan J, 2023 Mukherjee G.
europepmc +1 more source
On the distribution of the order over residue classes
, 2006 The multplicative order of an integer g modulo a prime p, with p coprime to g, is defined to be the smallest positive integer k such that g^k is congruent to 1 modulo p. For fixed integers g and d the distribution of this order over residue classes mod d
Moree, Pieter
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On Additive Divisor Sums and Partial Divisor Functions
, 2019 We establish asymptotic formulae for various correlations involving general divisor functions $d_k(n)$ and partial divisor functions $d_l(n,A)=\sum_{q|n:q\leq n^A}d_{l-1}(q)$, where $A\in[0,1]$ is a parameter and $k,l\in\mathbb{N}$ are fixed. Our results
Andrade, Julio, Smith, Kevin
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