Results 21 to 30 of about 198,020 (274)
Star product formula of theta functions [PDF]
, 2005 As a noncommutative generalization of the addition formula of theta functions, we construct a class of theta functions which are closed with respect to the Moyal star product of a fixed noncommutative parameter.
A. Polishchuk +11 more
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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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Advances in Mathematics, 2004 We construct natural maps (the Klein and Wirtinger maps) from moduli spaces of vector bundles on an algebraic curve $X$ to affine spaces, as quotients of the nonabelian theta linear series. We prove a finiteness result for these maps over generalized Kummer varieties (moduli of torus bundles), leading us to conjecture that the maps are finite in ...
Ben-Zvi, David, Biswas, Indranil
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False theta functions and companions to Capparelli's identities [PDF]
, 2015 Capparelli conjectured two modular identities for partitions whose parts satisfy certain gap conditions, where were motivated by the calculation of characters for the standard modules of certain affine Lie algebras and by vertex operator theory.
Bringmann, Kathrin, Mahlburg, Karl
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Journal of Mathematics, 2013 We define a product lk,n for any positive real numbers k and n involving Ramanujan's theta-functions ϕ(q) and ψ(q) which is analogous to Ramanujan's remarkable product of theta-functions recorded by Ramanujan (1957) and study its several properties.
Nipen Saikia
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Eisenstein Series Identities Involving the Borweins' Cubic Theta Functions
Journal of Applied Mathematics, 2012 Based on the theories of Ramanujan's elliptic functions and the (p, k)-parametrization of theta functions due to Alaca et al. (2006, 2007, 2006) we derive certain Eisenstein series identities involving the Borweins' cubic theta functions with the help of
Ernest X. W. Xia, Olivia X. M. Yao
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On Entry 8 of Chapter 19 of Ramanujan's Second Notebook [PDF]
Notes on Number Theory and Discrete MathematicsThe aim of this paper is to give an alternative proof of Entry 8 of Chapter 19 of Ramanujan's Second Notebook. Further, we deduce certain modular equations of degree 5 as a consequence of Entry 8 of Chapter 19.
K. R. Vasuki, A. Darshan
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Indefinite theta functions for counting attractor backgrounds [PDF]
, 2014 In this note, we employ indefinite theta functions to regularize canonical partition functions for single-center dyonic BPS black holes. These partition functions count dyonic degeneracies in the Hilbert space of four-dimensional toroidally compactified ...
Cardoso, Gabriel Lopes +2 more
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Some theorems on the explicit evaluation of Ramanujan's theta-functions
International Journal of Mathematics and Mathematical Sciences, 2004 Bruce C. Berndt et al. and Soon-Yi Kang have proved many of Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions in terms of Weber-Ramanujan class invariants.
Nayandeep Deka Baruah, P. Bhattacharyya
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