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A domain free of the zeros of the partial theta function
Математичні Студії, 2023 The partial theta function is the sum of the series \medskip\centerline{$\displaystyle\theta (q,x):=\sum\nolimits _{j=0}^{\infty}q^{j(j+1)/2}x^j$,} \medskip\noi where $q$ is a real or complex parameter ($|q|
V. Kostov
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Lee-Yang-Fisher zeros for DHL and 2D rational dynamics, II. Global Pluripotential Interpretation [PDF]
, 2019 In a classical work of the 1950's, Lee and Yang proved that for fixed nonnegative temperature, the zeros of the partition functions of a ferromagnetic Ising model always lie on the unit circle in the complex magnetic field.
Bleher, Pavel +2 more
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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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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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Journal of Commutative Algebra, 2017 Using discrete Morse theory for simplicial complexes we determine the homotopy type of ideal zero-divisor complex for finite rings and for rings with infinitely many maximal ideals.
Milošević, Nela, Petrović, Zoran Z.
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Singularities of the Partition Function for the Ising Model Coupled to 2d Quantum Gravity [PDF]
, 1997 We study the zeros in the complex plane of the partition function for the Ising model coupled to 2d quantum gravity for complex magnetic field and real temperature, and for complex temperature and real magnetic field, respectively.
Ambjorn, J. +2 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
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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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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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Clustering Complex Zeros of Triangular Systems of Polynomials [PDF]
Mathematics in Computer Science, 2020 Research report V6: description of the main algorithm ...
Imbach, Rémi, Pouget, Marc, Yap, Chee
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