Results 11 to 20 of about 22,163 (226)
Advances in Mathematics, 2013 The development of the theory of classical Jacobi theta functions and their connections to elliptic integrals was a crowning achievement of Nineteenth Century mathematics. In \textit{S. Ramanujan}'s Notebooks, and in his 1914 paper on series representations for \(1/\pi\) [Quart. J.
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Journal of Computational and Applied Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shaun Cooper
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Cubic theta functions and modular forms of level six
The Ramanujan Journal, 2023 The aim of the research presented in this paper is to derive the systems of ordinary differential equations (ODEs) satisfied by modular forms of level six and to construct extensions of the differential field of the cubic theta functions, generalizing the classical Ramanujan and Halphen fields.
Kazuhide Matsuda
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Unification of the Cubic Analogues of the Jacobian Theta-Function
Journal of Mathematical Analysis and Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Explicit Evaluations of Cubic and Quartic Theta-Functions [PDF]
ISRN Discrete Mathematics, 2012 We find explicit values of cubic and quartic theta-functions and their quotients by parameterizations. In the process, we also find some transformation formulas of these theta-functions.
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Matrix Factorizations and Homological Mirror Symmetry on the Torus [PDF]
, 2007 We consider matrix factorizations and homological mirror symmetry on the torus T^2 using a Landau-Ginzburg description. We identify the basic matrix factorizations of the Landau-Ginzburg superpotential and compute the full spectrum, taking into account ...
A. Kapustin +32 more
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On Born's conjecture about optimal distribution of charges for an infinite ionic crystal [PDF]
, 2017 We study the problem for the optimal charge distribution on the sites of a fixed Bravais lattice. In particular, we prove Born's conjecture about the optimality of the rock-salt alternate distribution of charges on a cubic lattice (and more generally on ...
Bétermin, Laurent, Knüpfer, Hans
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Tropical Theta Functions and Log Calabi-Yau Surfaces [PDF]
, 2016 We generalize the standard combinatorial techniques of toric geometry to the study of log Calabi-Yau surfaces. The character and cocharacter lattices are replaced by certain integral linear manifolds described by Gross, Hacking, and Keel, and monomials ...
Mandel, Travis
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On Ramanujan's general theta function and a generalization of the Borweins' cubic theta functions
Asian-European Journal of Mathematics, 2015 The Borwein brothers have introduced and studied three cubic theta functions. Many generalizations of these functions have been studied as well. In this paper, we introduce a new generalization of these functions and establish general formulas that are connecting our functions and Ramanujan's general theta function.
Adiga, Chandrashekar +1 more
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Deformation classification of real non-singular cubic threefolds with a marked line [PDF]
, 2018 We prove that the space of pairs $(X,l)$ formed by a real non-singular cubic hypersurface $X\subset P^4$ with a real line $l\subset X$ has 18 connected components and give for them several quite explicit interpretations.
Finashin, S., Kharlamov, V.
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