Results 11 to 20 of about 923 (213)
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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Journal of High Energy Physics, 2019 We propose quantum states for Little String Theories (LSTs) arising from M5 branes probing A- and D-type singularities. This extends Witten’s picture of M5 brane partition functions as theta functions to this more general setup.
Babak Haghighat, Rui Sun
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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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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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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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On a Classical Theta-Function [PDF]
Nagoya Mathematical Journal, 1970 The purpose of this paper is to get a certain explicit expression of automorphic factors, formulated rather differently than usual, of the classically well known theta function(1)
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Ramanujan’s mock theta functions [PDF]
Proceedings of the National Academy of Sciences, 2013 In his famous deathbed letter, Ramanujan introduced the notion of a mock theta function , and he offered some alleged examples. Recent work by Zwegers [Zwegers S (2001) Contemp Math 291:268–277 and Zwegers S (2002) PhD thesis (Univ of Utrecht, Utrecht ...
Griffin, Michael, Ono, Ken, Rolen, Larry
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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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Computing Riemann theta functions [PDF]
Mathematics of Computation, 2003 The Riemann theta function is a complex-valued function of g complex variables. It appears in the construction of many (quasi-) periodic solutions of various equations of mathematical physics. In this paper, algorithms for its computation are given.
Bernard Deconinck +4 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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