Results 21 to 30 of about 923 (213)
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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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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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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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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Theta Functions on the Theta Divisor
Rocky Mountain Journal of Mathematics, 2010 We show that the gradient and the hessian of the Riemann theta function in dimension n can be combined to give a theta function of order n+1 and modular weight (n+5)/2 defined on the theta divisor. It can be seen that the zero locus of this theta function essentially gives the ramification locus of the Gauss map.
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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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Pacific Journal of Mathematics, 1982 Let A be an abelian, nilpotent finite dimensional algebra over R. Let B((.),(.)) be a symmetric, bilinear form on A which satisfies B(xy,w) = B(y,xw). Define ((.))--the scalar log function on A by (DIAGRAM, TABLE OR GRAPHIC OMITTED.PLEASE SEE DAI) It is shown that the Fourier transform of exp2(pi)i(sigma) (x), for (sigma) a rational member is (sigma)('-
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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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Donaldson-Witten theory and indefinite theta functions
Journal of High Energy Physics, 2017 We consider partition functions with insertions of surface operators of topologically twisted N=2 $$ \mathcal{N}=2 $$, SU(2) supersymmetric Yang-Mills theory, or Donaldson-Witten theory for short, on a four-manifold.
Georgios Korpas, Jan Manschot
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Cholinergic Regulation of Hippocampal Theta Rhythm
Biomedicines, 2022 Cholinergic regulation of hippocampal theta rhythm has been proposed as one of the central mechanisms underlying hippocampal functions including spatial memory encoding.
Zhenglin Gu, Jerrel L. Yakel
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