Results 21 to 30 of about 12,032 (167)
On Lehmer’s problem and Dedekind sums [PDF]
Czechoslovak Mathematical Journal, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pan, Xiaowei, Zhang, Wenpeng
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Arithmetic of generalized Dedekind sums and their modularity
Open Mathematics, 2018 Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η function under the action of SL2(ℤ). In this paper, we study properties of generalized Dedekind sums si,j(p, q). We prove an asymptotic expansion of a function
Choi Dohoon +3 more
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On Closed Dual Rickart Modules
Journal of Kufa for Mathematics and Computer, 2017 The notion of dual Rickart modules has been studied lately. In this article, we continue investigate and study several properties of closed dual Rickart modules which explain by Ghawi Th.Y.
Tha'ar Younis Ghawi
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When are two Dedekind sums equal?
, 2011 A natural question about Dedekind sums is to find conditions on the integers $a_1, a_2$, and $b$ such that $s(a_1,b) = s(a_2, b)$. We prove that if the former equality holds then $ b \ | \ (a_1a_2-1)(a_1-a_2)$.
Jabuka, Stanislav +2 more
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Extremal orders of some functions connected to regular integers modulo n
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 Let V (n) denote the number of positive regular integers (mod n) less than or equal to n. We give extremal orders of , , , , where σ(n), ψ(n) are the sum-of-divisors function and the Dedekind function, respectively. We also give extremal orders for and ,
Brăduţ Apostol
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Computing special values of partial zeta functions
, 2000 We discuss computation of the special values of partial zeta functions associated to totally real number fields. The main tool is the \emph{Eisenstein cocycle} $\Psi $, a group cocycle for $GL_{n} (\Z )$; the special values are computed as periods of ...
A. Ash +5 more
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On Sums of Strictly Narrow Operators Acting from a Riesz Space to a Banach Space
Journal of Function Spaces, 2019 We prove that if E is a Dedekind complete atomless Riesz space and X is a Banach space, then the sum of two laterally continuous orthogonally additive operators from E to X, one of which is strictly narrow and the other one is hereditarily strictly ...
Oleksandr Maslyuchenko, Mikhail Popov
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The largest values of Dedekind sums
, 2016 Let $s(m,n)$ denote the classical \DED sum, where $n$ is a positive integer and $m\in\{0,1,\ldots, n-1\}$, $(m,n)=1$. For a given positive integer $k$, we describe a set of at most $k^2$ numbers $m$ for which $s(m,n)$ may be $\ge s(k,n)$, provided that ...
Girstmair, Kurt
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Rademacher-Carlitz Polynomials [PDF]
, 2013 We introduce and study the \emph{Rademacher-Carlitz polynomial} \[ \RC(u, v, s, t, a, b) := \sum_{k = \lceil s \rceil}^{\lceil s \rceil + b - 1} u^{\fl{\frac{ka + t}{b}}} v^k \] where $a, b \in \Z_{>0}$, $s, t \in \R$, and $u$ and $v$ are variables ...
Beck, Matthias, Kohl, Florian
core
In Defense of Comparability: Reply to Carlson and Risberg
Noûs, EarlyView.ABSTRACT In “The Case for Comparability,” we argue that every comparative expression “F$F$” obeys Comparability: if two things are at least as F$F$ as themselves, then one of them must be at least as F$F$ as the other. One of our arguments appeals to the apparent validity of the Strong Monotonicity schema: x$x$ is F$F$; y$y$ is not F$F$; so, x$x$ is ...
Cian Dorr, Jacob M. Nebel, Jake Zuehl
wiley +1 more source