New congruences modulo powers of 2 for k-regular overpartition pairs [PDF]
Notes on Number Theory and Discrete MathematicsLet ̄Bₖ(n) denote the number of k regular overpartition pairs where a k-regular overpartition pair of n is a pair of k-regular overpartitions (a,b) in which the sum of all the parts is n.
Riyajur Rahman, Nipen Saikia
doaj +1 more source
The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
Transactions of the American Mathematical Society, 2017 Starting with a discrete 3 × 3 3\times 3 matrix spectral problem, the hierarchy of Bogoyavlensky lattices which are pure differential-difference equations are derived with the aid of the Lenard recursion equations and the stationary ...
Jiao Wei, X. Geng, Xin Zeng
semanticscholar +1 more source
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
core +1 more source
A developmental examination of medial frontal theta dynamics and inhibitory control
NeuroImage, 2022 Medial frontal theta-band oscillations are a robust marker of action-outcome monitoring. In a large developmental sample (n = 432, 9–16 years), we examined whether phase and non-phase locked medial frontal theta power were related to inhibitory control ...
Stefon van Noordt +2 more
doaj +1 more source
Radial Limits of the Universal Mock Theta Function $g_3$ [PDF]
, 2015 Referring to Ramanujan's original definition of a mock theta function, Rhoades asked for explicit formulas for radial limits of the universal mock theta functions $g_2$ and $g_3$.
Min-Joo Jang, Steffen Lobrich
semanticscholar +1 more source
Momentum Dependence of the Single-Particle Self-Energy and Fluctuation Spectrum of Slightly Underdoped Bi_2 Sr_2 CaCu_2 O_{8+\delta} from High Resolution Laser ARPES [PDF]
, 2010 We deduce the normal state angle-resolved single-particle self-energy $\Sigma(\theta, \omega)$ and the Eliashberg function (i.e., the product of the fluctuation spectrum and its coupling to fermions) $\alpha^2 F(\theta,\omega)$ for the high temperature ...
Bok, Jin Mo +5 more
core +1 more source
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)('-
openaire +2 more sources
Modelling conditional probabilities with Riemann-Theta Boltzmann Machines [PDF]
, 2019 The probability density function for the visible sector of a Riemann-Theta Boltzmann machine can be taken conditional on a subset of the visible units. We derive that the corresponding conditional density function is given by a reparameterization of the ...
Carrazza, Stefano +2 more
core +2 more sources
Arithmetic properties for Andrews’ (48,6)- and (48,18)-singular overpartitions
Open Mathematics, 2019 Singular overpartition functions were defined by Andrews. Let Ck,i(n) denote the number of (k, i)-singular overpartitions of n, which counts the number of overpartitions of n in which no part is divisible by k and only parts ±i (mod k) may be overlined ...
Liu Eric H., Du Wenjing
doaj +1 more source
Developmental Changes in Hippocampal CA1 Single Neuron Firing and Theta Activity during Associative Learning. [PDF]
PLoS ONE, 2016 Hippocampal development is thought to play a crucial role in the emergence of many forms of learning and memory, but ontogenetic changes in hippocampal activity during learning have not been examined thoroughly.
Jangjin Kim +3 more
doaj +1 more source