Results 31 to 40 of about 237,114 (316)
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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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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Advances in Electrical and Electronic Engineering, 2017 A numerical method for computing zeros of analytic complex functions is presented. It relies on Cauchy's residue theorem and the method of Newton's identities, which translates the problem to finding zeros of a polynomial.
Erika Strakova +2 more
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Lee-Yang theory of the Curie-Weiss model and its rare fluctuations
Physical Review Research, 2020 Phase transitions are typically accompanied by nonanalytic behaviors of the free energy, which can be explained by considering the zeros of the partition function in the complex plane of the control parameter and their approach to the critical value on ...
Aydin Deger, Christian Flindt
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Estimates for the polar derivative of a constrained polynomial on a disk
Cubo, 2022 This work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane.
Gradimir V. Milovanović +2 more
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Exact results for the zeros of the partition function of the Potts model on finite lattices
, 1999 The Yang-Lee zeros of the Q-state Potts model are investigated in 1, 2 and 3 dimensions. Analytical results derived from the transfer matrix for the one-dimensional model reveal a systematic behavior of the locus of zeros as a function of Q.
Baxter +21 more
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Complex zeros of the Jonquière or polylogarithm function [PDF]
Mathematics of Computation, 1975 Complex zero trajectories of the function\[F(x,s)=∑k=1∞xkksF(x,s) = \sum \limits _{k = 1}^\infty {\frac {{{x^k}}}{{{k^s}}}}\]are investigated for realxwith|x|>1|x| > 1in the complexs-plane. It becomes apparent that there exist several classes of such trajectories, depending on their behaviour for|x|→1|x| \to 1.
Fornberg, B., Kölbig, K. S.
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Partition function zeros of the Q-state Potts model for non-integer Q
, 1999 The distribution of the zeros of the partition function in the complex temperature plane (Fisher zeros) of the two-dimensional Q-state Potts model is studied for non-integer Q.
Baxter +18 more
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Complex singularities around the QCD critical point at finite densities [PDF]
, 2014 Partition function zeros provide alternative approach to study phase structure of finite density QCD. The structure of the Lee-Yang edge singularities associated with the zeros in the complex chemical potential plane has a strong influence on the real ...
Ejiri, Shinji +2 more
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Computing the zeros of cross-product combinations of the Bessel functions with complex order
Results in Applied MathematicsThe zeros of cross-product combinations of the Bessel functions are often required as the eigenvalues in boundary-value problems with annular or tubular symmetry. Numerical methods to calculate the roots when the order is real have existed for many years,
Jeff Kershaw, Takayuki Obata
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