Results 11 to 20 of about 127,892 (269)
The Krzyż Conjecture and an Entropy Conjecture [PDF]
Journal d'Analyse Mathématique, 2021 We show that if the minimum entropy for a polynomial with roots on the unit circle is attained by polynomials with equally spaced roots, then, under a generic hypothesis about the nature of the extremum, the Krzyz conjecture on the maximum modulus of the Taylor coefficients of a holomorphic function that maps the disk to the punctured disk is true.
Agler, Jim, McCarthy, John E.
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Journal of Economic Theory, 2013 Studying a one-sector economy populated by finitely many heterogeneous households that are subject to no-borrowing constraints, we confirm a conjecture by Frank P. Ramsey according to which, in the long run, society would be divided into the set of patient households who own the entire capital stock and impatient ones without any physical wealth.
Tapan Mitra, Gerhard Sorger
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Proofs of Beal’s Conjecture, Fermat’s Conjecture, Collatz Conjecture and Goldbach Conjecture
Indian Journal of Advanced Mathematics, 2023 In this article the elementary mathematical methods are used to prove Beal’s Conjecture, Fermat’s Conjecture, Collatz Conjecture and Goldbach Conjecture.
Nishad T M, Dr. Mohamed M Azzedine
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On Osgood-Yang’s conjecture and Mues conjecture [PDF]
Nagoya Mathematical Journal, 2003 AbstractIn this paper, we deal with the relation between the characteristic functions of meromorphic functions that share three values CM. As applications of our main results, we shall affirmatively settle two conjectures proposed by Mues and Osgood-Yang.
Yi, Hong-Xun, Li, Yu-Hua
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On a Conjecture of Thomassen [PDF]
The Electronic Journal of Combinatorics, 2015 In 1989, Thomassen asked whether there is an integer-valued function $f(k)$ such that every $f(k)$-connected graph admits a spanning, bipartite $k$-connected subgraph. In this paper we take a first, humble approach, showing the conjecture is true up to a $\log n$ factor.
Delcourt, Michelle, Ferber, Asaf
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The Overfull Conjecture and the Conformability Conjecture
Discrete Mathematics, 2001 Vizing's well-known result that \(\triangle (G) \leq \chi '(G) \leq \triangle (G) +1\) (where \(\chi '\) denotes the chromatic index) led to the classification of a graph as Class 1 if \(\chi '(G) =\triangle (G)\) and Class 2 if \(\chi '(G) =\triangle (G) +1\). The overfull conjecture of \textit{A. G. Chetwynd} and \textit{A. J. W.
Anthony J. W. Hilton +2 more
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On a Combinatorial Conjecture [PDF]
Integers, 2011 AbstractRecently, Tu and Deng proposed a combinatorial conjecture about binary strings, and, on the assumption that the conjecture is correct, they obtained two classes of Boolean functions which are both algebraic immunity optimal, the first of which are also bent functions.
Cusick, Thomas W. +2 more
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A Conjecture Equivalent to the Collatz Conjecture
CoRR, 2021 We present a formulation of the Collatz conjecture that is potentially more amenable to modeling and analysis by automated termination checking tools.
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Theoretical Computer Science, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maxime Crochemore +2 more
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THE CONJECTURE PARALLEL TO THE KRZYŻ CONJECTURE
Demonstratio Mathematica, 2003 For any fixed integer \(k\) and \(t>0\) let us denote \[ F_k(t;z)= {1 \over(1-z)^{1+k}} \exp\left\{-t{1+z \over 1-z}\right\},\;z\in D=\bigl\{z:|z |< 1\bigr\}. \] We say that a holomorphic function \(f\) in \(D\) of the form \(f (z)= e^{-t}+a_1z+ a_2z^2+a_3z^3+ \dots,z\in D\), \(t>0\), belongs to the class \({ \mathcal B}^k_0\) if and only if \(f(z ...
Ganczar, A., Michalska, M., Szynal, J.
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