35 citations · 56 across the 6 of their papers we have counts for
6 papers
Fourier Quasicrystals on
Wayne M Lawton, August K. Tsikh
This paper has three aims. First, for we construct a family of real-rooted trigonometric polynomial maps whose divisors are Fourier…
Multidimensional Fourier Quasicrystals I. Sufficient Conditions
Wayne M. Lawton, August K. Tsikh
We derive sufficient conditions for an atomic measure where are positive integers, and is the point measure at t…
Multidimensional algebraic interpolations
Matvey Durakov, Evgeniy Leinartas, August Tsikh
The Hermite interpolation formulas are based on the interpretation of interpolation nodes as roots of suitable polynomials. Therefore, such formulas belong to the class of algebrai…
Amoebas of complex hypersurfaces in statistical thermodynamics
Mikael Passare, Dmitry Pochekutov, August Tsikh
The amoeba of a complex hypersurface is its image under a logarithmic projection. A number of properties of algebraic hypersurface amoebas are carried over to the case of transcend…
Singularities of Nonconfluent Hypergeometric Functions in Several Variables
Mikael Passare, Timur Sadykov, August Tsikh
The paper deals with singularities of nonconfluent hypergeometric functions in several variables. Typically such a function is a multi-valued analytic function with singularities a…
Multiple Mellin-Barnes Integrals as Periods of Calabi-Yau Manifolds With Several Moduli
M. Passare, A. K. Tsikh, A. A. Cheshel
We give a representation, in terms of iterated Mellin-Barnes integrals, of periods on multi-moduli Calabi-Yau manifolds arising in superstring theory. Using this representation and…