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Computing Functions of a Shared Secret
SIAM Journal on Discrete Mathematics, 2000Summary: We introduce and study threshold (\(t\)-out-of-\(n\)) secret sharing schemes for families of functions \({\mathcal F}\). Such schemes allow any set of at least \(t\) parties to compute privately the value \(f(s)\) of a (previously distributed) secret \(s\), for any \(f\in{\mathcal F}\). Smaller sets of players get no more information about the
Beimel, Amos +3 more
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ON MEROMORPHIC FUNCTIONS SHARING TWO VALUES
Analysis, 1997Let \(f\) and \(g\) be nonconstant meromorphic functions in the complex plane. If \(S\) is a set of complex numbers, let \(E(S,f)= \cup_{u\in S} \{z| f(z)- a=0\}\) where a zero point with multiplicity \(m\) is counted \(m\) times in the set. The authors prove two theorems: (i) if \(\delta(0,f)+ \delta(0,g) +\Theta (\infty,f) +\Theta(\infty,g) =3\), \(E(
Fang, Mingliang, Guo, Hui
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Meromorphic Functions Sharing Pairs of Small Functions
Mathematica Slovaca, 2015Abstract In this paper, we investigate the relations between two meromorphic functions that share some pairs of small functions. In particular, we show that two meromorphic functions that share six pairs of small functions IM∗ must be linked by quasi-Möbius transformation.
Jilong Zhang, Lianzhong Yang
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Normal Criteria for Family Meromorphic Functions Sharing Holomorphic Function
Bulletin of the Malaysian Mathematical Sciences Society, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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[The shared nursing function].
Soins; la revue de reference infirmiere, 2017The Chair of Philosophy at Hôtel-Dieu hospital in Paris, is a place for the sharing of knowledge and recognition. It provides a place where the subjective, institutional and political dimension of care can be considered, by all stakeholders: patients, nurses, families and citizens. The aim is to invent a shared nursing function.
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Entire Functions Sharing a Small Function with their Derivatives
Computational Methods and Function Theory, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Meromorphic functions sharing four small functions on 2CM + 2IM
Archiv der Mathematik, 2003In 1929, Nevanlinna proved the four value theorem that if two nonconstant meromorphic functions \(f\) and \(g\) in \(\mathbb{C}\) share four distinct values \(a_1,a_2,a_3,a_4\) CM (counting multiplicity), then \(f\) is a Möbius transformation of \(g\) with constant coefficients. \textit{G. G. Gundersen} [Trans. Am. Math. Soc.
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