Results 11 to 20 of about 199,900 (281)
A theory of theta functions to the quintic base [PDF]
, 2013 Properties of four quintic theta functions are developed in parallel with those of the classical Jacobi null theta functions. The quintic theta functions are shown to satisfy analogues of Jacobi's quartic theta function identity and counterparts of ...
Huber, Tim
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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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Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products [PDF]
, 2017 We present some applications of the Kudla-Millson and the Millson theta lift. The two lifts map weakly holomorphic modular functions to vector valued harmonic Maass forms of weight $3/2$ and $1/2$, respectively.
Bruinier, Jan Hendrik +1 more
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Partial theta functions and mock modular forms as q-hypergeometric series [PDF]
, 2011 Ramanujan studied the analytic properties of many $q$-hypergeometric series. Of those, mock theta functions have been particularly intriguing, and by work of Zwegers, we now know how these curious $q$-series fit into the theory of automorphic forms.
Bringmann, Kathrin +2 more
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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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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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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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NeuroImage, 2021 Network-level synchronization of theta oscillations in the cerebral cortex is linked to many vital cognitive functions across daily life, such as executive functions or regulation of arousal and consciousness.
Tiam Hosseinian +4 more
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