Results 1 to 10 of about 7,833,680 (354)
Use of the Complex Zeros of the Partition Function to Investigate the Critical Behavior of the Generalized Interacting Self-Avoiding Trail Model [PDF]
Entropy, 2019 The complex zeros of the canonical (fixed walk-length) partition function are calculated for both the self-avoiding trails model and the vertex-interacting self-avoiding walk model, both in bulk and in the presence of an attractive surface.
Damien Foster +2 more
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Location of the Zeros of Certain Complex-Valued Harmonic Polynomials [PDF]
Journal of Mathematics, 2022 Finding the approximate region containing all the zeros of analytic polynomials is a well-studied problem. But the number of the zeros and regions containing all the zeros of complex-valued harmonic polynomials is relatively a fresh research area.
Hunduma Legesse Geleta +1 more
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Complex zeros of cylinder functions [PDF]
Mathematics of Computation, 1966 All complex zeros of the cylinder functions Y n ( z ) , H n ( 1 ) ( z ) for n = 0
B. Döring
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The Complex Zeros of Random Polynomials [PDF]
Transactions of the American Mathematical Society, 1995 Mark Kac gave an explicit formula for the expectation of the number, ν n ( Ω ) {\nu _n}(\Omega ) , of zeros of a random polynomial, \[ P n ( z ) = ∑
L. Shepp, R. Vanderbei
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The quality of zero bounds for complex polynomials. [PDF]
PLoS ONE, 2012 In this paper, we evaluate the quality of zero bounds on the moduli of univariate complex polynomials. We select classical and recently developed bounds and evaluate their quality by using several sets of complex polynomials.
Matthias Dehmer, Yury Robertovich Tsoy
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A unified approach to computing real and complex zeros of zero-dimensional ideals [PDF]
, 2009 In this paper we propose a unified methodology for computing the set V K (I) of complex (K = ℂ) or real (K = ℝ) roots of an ideal R[x], assuming Vk (I ) is finite. We show how moment matrices, defined in terms of a given set of generators of the ideall, can be used to (numerically) find not only the real variety V R (I), as shown in the Authors ...
J. Lasserre, M. Laurent, P. Rostalski
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The Generalized Riemann Hypothesis on elliptic complex fields
AIMS Mathematics, 2023 In this paper, we will introduce a new algebraic system called the elliptic complex, and consider the distribution of zeros of the function $ L(s, \chi) $ in the corresponding complex plane. The key to this article is to discover the limiting case of the
Xian Hemingway
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AIMS Mathematics, 2023 The 2-variable modified partially degenerate Hermite (MPDH) polynomials are the subject of our study in this paper. We found basic properties of these polynomials and obtained several types of differential equations related to MPDH polynomials.
Gyung Won Hwang +2 more
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Classical algorithms, correlation decay, and complex zeros of partition functions of Quantum many-body systems [PDF]
Symposium on the Theory of Computing, 2019 We present a quasi-polynomial time classical algorithm that estimates the partition function of quantum many-body systems at temperatures above the thermal phase transition point. It is known that in the worst case, the same problem is NP-hard below this
A. Harrow +2 more
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On the Eneström–Kakeya theorem for quaternionic polynomials
Comptes Rendus. Mathématique, 2023 In this paper, we present certain results concerning the distribution of zeros of polynomials of a quaternionic variable and with quaternionic coefficients. We obtain ring shaped regions of Eneström–Kakeya type for the zeros of these polynomials and also
Mir, Abdullah, Ahmad, Abrar
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