Results 21 to 30 of about 199,900 (281)
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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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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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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Effective Congruences for Mock Theta Functions
Mathematics, 2013 Let M(q) = ∑c(n) qn be one of Ramanujan’s mock theta functions. We establish the existence of infinitely many linear congruences of the form: c(An + B) ≡ 0 (mod lj) where A is a multiple of l and an auxiliary prime, p.
Heidi Goodson +3 more
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Radial limits of mock theta functions [PDF]
, 2014 Inspired by the original definition of mock theta functions by Ramanujan, a number of authors have considered the question of explicitly determining their behavior at the cusps.
Bringmann, Kathrin, Rolen, Larry
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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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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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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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Some New θ-I-Locally Closed sets with Respect to an Ideal Topological Spaces
Ratio Mathematica, 2023 In this paper, we introduce the new notions called \breve{\mathbit{\theta}}-\mathbf{I}-locally closed sets, \breve{\mathbit{\theta}}-\mathbf{I}-locally closed sets and \breve{\mathbit{\theta}}-\mathbf{I}-closed functions and investigated their properties
M Vijayasankari, G Ramkumar
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A Framework for Modular Properties of False Theta Functions
, 2019 False theta functions closely resemble ordinary theta functions, however they do not have the modular transformation properties that theta functions have.
Bringmann, Kathrin, Nazaroglu, Caner
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