Results 31 to 40 of about 10,632,527 (346)
Higher depth quantum modular forms, multiple Eichler integrals, and $$\mathfrak {sl}_3$$sl3 false theta functions [PDF]
Research in the Mathematical Sciences, 2017 We introduce and study higher depth quantum modular forms. We construct two families of examples coming from rank two false theta functions, whose “companions” in the lower half-plane can be also realized both as double Eichler integrals and as non ...
K. Bringmann, Jonas Kaszian, A. Milas
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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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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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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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Discrete Gaussian Distributions via Theta Functions [PDF]
SIAM Journal on applied algebra and geometry, 2018 We introduce a discrete analogue of the classical multivariate Gaussian distribution. It is parametrized by the Riemann theta function on the integer lattice.
Daniele Agostini, Carlos Améndola
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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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Theta functions on varieties with effective anti-canonical class [PDF]
Memoirs of the American Mathematical Society, 2016 We show that a large class of maximally degenerating families of n n -dimensional polarized varieties comes with a canonical basis of sections of powers of the ample line bundle.
M. Gross, P. Hacking, Bernd S Siebert
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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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