Results 271 to 280 of about 4,522,388 (297)

Lattice Green’s functions for cubic lattices

Journal of Mathematical Physics, 1980
The Green’s functions for a cubic lattice given by G(E)=1/π3 ∫0π∫0π∫0π (dx dydz)/[E−ω  (x,y,z)], where (i) ω(x,y,z)=(a1cosx+a2cosy)(1+cosz)+a3cosz, (ii) ω(x,y,z)=a1cosx(1+cosy+cosz+cosycosz) +a2cosy+a3cosz+a23cosycosz are evaluated exactly and expressed as products of two 2F1’s each of which represents a complete elliptic integral of the first kind ...
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DIFFERENTIAL EQUATIONS FOR CUBIC THETA FUNCTIONS

International Journal of Number Theory, 2011
We show that the cubic theta functions satisfy two distinct coupled systems of nonlinear differential equations. The resulting relations are analogous to Ramanujan's differential equations for Eisenstein series on the full modular group. We deduce the cubic analogs presented here from trigonometric series identities arising in Ramanujan's original ...
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On the cubic modular transformation and the cubic lattice Green functions

Journal of Physics A: Mathematical and General, 1998
The main aim of this paper is to show that the elliptic modular transformation of order 3 can be used to express the lattice Green functions \(P(z)\) and \(P(z)_{sc}\) in terms of the square of the complete elliptic integral \(K(k)\). These results are generalizations of the Watson formulas [see \textit{G. N. Watson}, Q. J. Math., Oxf. Ser.
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The mean value of the class numbers of cubic function fields

Journal of Mathematical Analysis and Applications, 2023
Yoonjin Lee, Jungyun Lee, Jinjoo Yoo
exaly  

Algorithmic Aspects of Cubic Function Fields

2004
This paper presents an investigative account of arbitrary cubic function fields. We present an elementary classification of the signature of a cubic extension of a rational function field of finite characteristic at least five; the signature can be determined solely from the coefficients of the defining curve.
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Parameter estimation of 2-D cubic phase signal using cubic phase function with genetic algorithm

Signal Processing, 2010
Cornel Ioana, Igor Djurovic
exaly  

On the imperative need to use a consistent α-function for the prediction of pure-compound supercritical properties with a cubic equation of state

Fluid Phase Equilibria, 2017
Romain Privat, Jean-Noël Jaubert, Silvia Lasala   +2 more
exaly  

On the affine classification of cubic bent functions

IACR Cryptol. ePrint Arch., 2005
Summary: We consider cubic Boolean bent functions, each cubic monomials of which contain the same variable. We investigate canonical forms of these functions under affine transformations of variables. In particular, we refine the affine classification of cubic bent functions of 8 variables.
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NOTE ON AVERAGE OF CLASS NUMBERS OF CUBIC FUNCTION FIELDS

Korean Journal of Mathematics, 2014
Hwanyup Jung, Jung Hwanyup
exaly  

A constructive approach to cubic Hermite Fractal Interpolation Function and its constrained aspects

BIT Numerical Mathematics, 2013
A K B Chand, Chand A K B, P Viswanathan
exaly