Results 11 to 20 of about 57 (56)
Large oscillations of the argument of the Riemann zeta‐function
Bulletin of the London Mathematical Society, Volume 53, Issue 6, Page 1776-1785, December 2021., 2021 Abstract Let S(t) denote the argument of the Riemann zeta‐function, defined as S(t)=1πImlogζ(1/2+it).Assuming the Riemann hypothesis, we prove that S(t)=Ω±logtlogloglogtloglogt.This improves the classical Ω‐results of Montgomery (Theorem 2; Comment. Math. Helv. 52 (1977) 511–518) and matches with the Ω‐result obtained by Bondarenko and Seip (Theorem 2;
Andrés Chirre, Kamalakshya Mahatab
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Linear correlations of multiplicative functions
Proceedings of the London Mathematical Society, Volume 121, Issue 2, Page 372-425, August 2020., 2020 Abstract We prove a Green–Tao type theorem for multiplicative functions.
Lilian Matthiesen
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Estimates of convolutions of certain number‐theoretic error terms
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 1, Page 1-23, 2004., 2004 Several estimates for the convolution function C [f(x)]:=∫1xf(y) f(x/y)(dy/y) and its iterates are obtained when f(x) is a suitable number‐theoretic error term. We deal with the case of the asymptotic formula for ∫0T|ζ(1/2+it)|2kdt(k = 1, 2), the general Dirichlet divisor problem, the problem of nonisomorphic Abelian groups of given order, and the ...
Aleksandar Ivić
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On a sum analogous to Dedekind sum and its mean square value formula
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 1, Page 47-55, 2002., 2002 The main purpose of this paper is using the mean value theorem of Dirichlet L‐functions to study the asymptotic property of a sum analogous to Dedekind sum, and give an interesting mean square value formula.
Zhang Wenpeng
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VALUE PATTERNS OF MULTIPLICATIVE FUNCTIONS AND RELATED SEQUENCES
Forum of Mathematics, Sigma, 2019 We study the existence of various sign and value patterns in sequences defined by multiplicative functions or related objects. For any set $A$ whose indicator function is ‘approximately multiplicative’ and uniformly distributed on short intervals in a ...
TERENCE TAO, JONI TERÄVÄINEN
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ON BINARY CORRELATIONS OF MULTIPLICATIVE FUNCTIONS
Forum 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
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Veterinary 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
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Contributions to Analytic Number Theory [PDF]
, 2004 This paper reports on some recent contributions to the theory of multiplicative arithmetic semigroups, which have been initiated by John Knopfmacher's work on analytic number theory. They concern weighted inversion theorems of the Wiener type, mean-
Lucht, Lutz G
core
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
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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
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