Results 1 to 10 of about 22,163 (226)
Relation between Borweins’ Cubic Theta Functions and Ramanujan’s Eisenstein Series [PDF]
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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Eisenstein Series Identities Involving the Borweins' Cubic Theta Functions [PDF]
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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Karpatsʹkì Matematičnì Publìkacìï, 2023 Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained ...
A.S. Romanyuk +3 more
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Journal of High Energy Physics, 2022 The Nicolai map is a field transformation that relates supersymmetric theories at finite couplings g with the free theory at g = 0. It is obtained via an ordered exponential of the coupling flow operator integrated from 0 to g.
Olaf Lechtenfeld, Maximilian Rupprecht
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Nernst branes from special geometry [PDF]
, 2015 We construct new black brane solutions in $U(1)$ gauged ${\cal N}=2$ supergravity with a general cubic prepotential, which have entropy density $s\sim T^{1/3}$ as $T \rightarrow 0$ and thus satisfy the Nernst Law. By using the real formulation of special
A Chamblin +48 more
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New identities for Ramanujan's cubic continued fraction. [PDF]
, 2012 In this paper, we present some new identities providing relations between Ramanujan's cubic continued fraction V(q)V(q) and the other three continued fractions V(q9)V(q9), V(q17)V(q17) and V(q19)V(q19).
Chandankumar, S. +2 more
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Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation [PDF]
, 2016 We use elliptic Taylor series expansions and interpolation to deduce a number of summations for elliptic hypergeometric series. We extend to the well-poised elliptic case results that in the $q$-case have previously been obtained by Cooper and by Ismail ...
Schlosser, Michael J., Yoo, Meesue
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On cubic multisections of Eisenstein series [PDF]
, 2013 A systematic procedure for generating cubic multisections of Eisenstein series is given. The relevant series are determined from Fourier expansions for Eisenstein series by restricting the congruence class of the summation index modulo three.
Alaniz, Andrew, Huber, Tim
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, 2015 We review and extend the known constructions relating Kummer threefolds, G¨opel systems, theta constants and their derivatives, and the GIT quotient for 7 points in P^2 to obtain an explicit expression for the Coble quartic.
S. Grushevsky, SALVATI MANNI, Riccardo
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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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