Results 31 to 40 of about 7,833,680 (354)
Information, 2021 This article numerically analyzes the distribution of the zeros of Riemann’s zeta function along the critical line (CL). The zeros are distributed according to a hierarchical two-layered model, one deterministic, the other stochastic. Following a complex
Michel Riguidel
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Complex zeros of real ergodic eigenfunctions [PDF]
, 2005 We determine the limit distribution (as λ→∞) of complex zeros for holomorphic continuations φλℂ to Grauert tubes of real eigenfunctions of the Laplacian on a real analytic compact Riemannian manifold (M,g) with ergodic geodesic flow. If $\{\phi_{j_{k}}\}$
S. Zelditch
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Yang-Lee zeros for a nonequilibrium phase transition [PDF]
, 2002 Equilibrium systems which exhibit a phase transition can be studied by investigating the complex zeros of the partition function. This method, pioneered by Yang and Lee, has been widely used in equilibrium statistical physics.
Alves N A +17 more
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Supersymmetry and the Riemann zeros on the critical line
Physics Letters B, 2019 We propose a new way of studying the Riemann zeros on the critical line using ideas from supersymmetry. Namely, we construct a supersymmetric quantum mechanical model whose energy eigenvalues correspond to the Riemann zeta function in the strip ...
Ashok Das, Pushpa Kalauni
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Absence of Zeros and Asymptotic Error Estimates for Airy and Parabolic Cylinder Functions [PDF]
, 2012 We derive WKB approximations for a class of Airy and parabolic cylinder functions in the complex plane, including quantitative error bounds. We prove that all zeros of the Airy function lie on a ray in the complex plane, and that the parabolic cylinder ...
Finster, Felix, Smoller, Joel
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Schur-Type Inequalities for Complex Polynomials with no Zeros in the Unit Disk
Journal of Inequalities and Applications, 2007 Starting out from a question posed by T. Erdélyi and J. Szabados, we consider Schur-type inequalities for the classes of complex algebraic polynomials having no zeros within the unit disk D.
Szilárd Gy. Révész
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Regions Without Complex Zeros for Chromatic Polynomials on Graphs with Bounded Degree [PDF]
Combinatorics, probability & computing, 2007 We prove that the chromatic polynomial $P_\mathbb{G}(q)$ of a finite graph $\mathbb{G}$ of maximal degree Δ is free of zeros for |q| ≥ C*(Δ) with $$ C^*(\D) = \min_ ...
R. Fernández, A. Procacci
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Four-manifolds with Shadow-complexity Zero [PDF]
International Mathematics Research Notices, 2010 We prove that a closed 4-manifold has shadow-complexity zero if and only if it is a kind of 4-dimensional graph manifold, which decomposes into some particular blocks along embedded copies of S^2 x S^1, plus some complex projective spaces. We deduce a classification of all 4-manifolds with finite fundamental group and shadow-complexity zero.
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Bounds on the Complex Zeros of (Di)Chromatic Polynomials and Potts-Model Partition Functions [PDF]
Combinatorics, probability & computing, 1999 We show that there exist universal constants C(r) < ∞ such that, for all loopless graphs G of maximum degree [les ] r, the zeros (real or complex) of the chromatic polynomial PG(q) lie in the disc [mid ]q[mid ] < C(r). Furthermore, C(r) [les ] 7.963907r.
A. Sokal
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Zero-point momentum in complex media [PDF]
The European Physical Journal D, 2008 In this work we apply field regularization techniques to formulate a number of new phenomena related to momentum induced by electromagnetic zero-point fluctuations. We discuss the zero-point momentum associated with magneto-electric media, with moving media, and with magneto-chiral media.
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