Results 21 to 30 of about 10,632,527 (346)
Approximation characteristics of the isotropic Nikol'skii-Besov functional classes
Karpatsʹkì Matematičnì Publìkacìï, 2021 In the paper, we investigates the isotropic Nikol'skii-Besov classes $B^r_{p,\theta}(\mathbb{R}^d)$ of non-periodic functions of several variables, which for $d = 1$ are identical to the classes of functions with a dominant mixed smoothness $S^{r}_{p ...
S.Ya. Yanchenko, O.Ya. Radchenko
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Theta lifts for Lorentzian lattices and coefficients of mock theta functions [PDF]
, 2019 We evaluate regularized theta lifts for Lorentzian lattices in three different ways. In particular, we obtain formulas for their values at special points involving coefficients of mock theta functions.
J. Bruinier, Markus Schwagenscheidt
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Representations of mock theta functions [PDF]
Advances in Mathematics, 2018 Motivated by the works of Liu, we provide a unified approach to find Appell-Lerch series and Hecke-type series representations for mock theta functions. We establish a number of parameterized identities with two parameters $a$ and $b$.
Dandan Chen, Liuquan Wang
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Some identities associated with theta functions and tenth order mock theta functions [PDF]
Mathematica MoravicaThe main objective of this paper is to present some identities associated with theta functions and tenth order mock theta functions. Several closely-related identities such as (for example) q-product identities and Jacobi's triple-product identity are ...
Chaudhary M.P. +2 more
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ONANEWPARAMETERINVOLVINGRAMANUJAN’S THETA-FUNCTIONS [PDF]
South East Asian Journal of Mathematics and Mathematical Sciences, 2019 SrinivasaRamanujanrecordedexplicitevaluationsofcertainquotients of theta functions inhis lostnotebook. MotivatedbytheworksofRamanujan, JinheeYi systematicallystudiedtheanaloguesof explicitevaluationofquotients ofthetafunctionsbydefiningparameters ...
S. Chandankumar +2 more
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Some Ramanujan-type circular summation formulas
Advances in Difference Equations, 2020 In this paper, we give two Ramanujan-type circular summation formulas by applying the way of elliptic functions and the properties of theta functions.
Ji-Ke Ge, Qiu-Ming Luo
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Electron Beams on the Brillouin Zone: A Cohomological Approach via Sheaves of Fourier Algebras
Universe, 2023 Topological states of matter can be classified only in terms of global topological invariants. These global topological invariants are encoded in terms of global observable topological phase factors in the state vectors of electrons. In condensed matter,
Elias Zafiris, Albrecht von Müller
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Pacific Journal of Mathematics, 1982 Let A be an abelian, nilpotent finite dimensional algebra over R. Let B((.),(.)) be a symmetric, bilinear form on A which satisfies B(xy,w) = B(y,xw). Define ((.))--the scalar log function on A by (DIAGRAM, TABLE OR GRAPHIC OMITTED.PLEASE SEE DAI) It is shown that the Fourier transform of exp2(pi)i(sigma) (x), for (sigma) a rational member is (sigma)('-
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On inversely $\theta$-semi-open and inversely $\theta$-semi-closed functions
Математичні Студії, 2020 In this paper, we introduce the concepts of inversely $\theta$-semi-open and inversely $\theta$-semi-closed functions and obtain their characterizations if it is possible in terms of $\theta$-closure and $\theta$-interior by using sets determined by the ...
J. Sanabria, E. Rosas, L. Vásquez
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Relation between Borweins’ Cubic Theta Functions and Ramanujan’s Eisenstein Series
Journal of Applied Mathematics, 2021 Two-dimensional theta functions were found by the Borwein brothers to work on Gauss and Legendre’s arithmetic-geometric mean iteration. In this paper, some new Eisenstein series identities are obtained by using (p, k)-parametrization in terms of Borweins’
B. R. Srivatsa Kumar +2 more
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