Results 51 to 60 of about 577,125 (180)
ABSTRACT In this paper, we provide Dirichlet series with periodic coefficients that have Riemann’s functional equation and real zeros of Dirichlet L-functions. The details are as follows. Let L(s, χ) be the Dirichlet L-function and G(χ) be the Gauss sum associated with a primitive Dirichlet character χ (mod q). We define
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A Covariant Generalization of the Real-Time Green's Functions Method in the Theory of Kinetic Equations [PDF]
Published in Annals Phys.
Smolyansky, S. A. +3 more
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Unconventional analogs of single-parametric method of iterational aggregation
When we solve practical problems that arise, for example, in mathematical economics, in the theory of Markov processes, it is often necessary to use the decomposition of operator equations using methods of iterative aggregation.
I.I. Demkiv +3 more
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Approximations for many-body Green's functions: insights from the fundamental equations
Several widely used methods for the calculation of band structures and photo emission spectra, such as the GW approximation, rely on Many-Body Perturbation Theory.
Abramowitz M +13 more
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Multiple Dirichlet Series for Affine Weyl Groups [PDF]
Let $W$ be the Weyl group of a simply-laced affine Kac-Moody Lie group, excepting $\tilde{A}_n$ for $n$ even. We construct a multiple Dirichlet series $Z(x_1, \ldots x_{n+1})$, meromorphic in a half-space, satisfying a group $W$ of functional equations ...
Whitehead, Ian
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The convolution of a series of events is often observed for a variety of phenomena such as the oscillation of a string. A photochemical reaction of a molecule is characterized by a time constant, but materials in the real world contain several molecules ...
Mirai Tanaka +4 more
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Generalized gradient expansions in quantum transport equations [PDF]
Gradient expansions in quantum transport equations of a Kadanoff-Baym form have been reexamined. We have realized that in a consistent approach the expansion should be performed also inside of the self-energy in the scattering integrals of these ...
A. A. Abrikosov +27 more
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From quantum to classical dynamics: The relativistic $O(N)$ model in the framework of the real-time functional renormalization group [PDF]
We investigate the transition from unitary to dissipative dynamics in the relativistic $O(N)$ vector model with the $\lambda (\varphi^{2})^{2}$ interaction using the nonperturbative functional renormalization group in the real-time formalism.
A. Kamenev +14 more
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Excited TBA Equations I: Massive Tricritical Ising Model [PDF]
We consider the massive tricritical Ising model M(4,5) perturbed by the thermal operator phi_{1,3} in a cylindrical geometry and apply integrable boundary conditions, labelled by the Kac labels (r,s), that are natural off-critical perturbations of known ...
Andrews +33 more
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Real zeros of derivatives of meromorphic functions and solutions of second order differential equations [PDF]
We classify all functions F F meromorphic in the plane with only real zeros and real poles which satisfy the additional conditions that F ′ F’ has no zeros and F F only real zeros.
Hellerstein, Simon +2 more
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