Results 21 to 30 of about 4,592,487 (264)

Schlafli modular equations for generalized Weber functions [PDF]

, 2008
Sets of appropriately normalized eta quotients, that we call level n Weber functions, are defined, and certain identities generalizing Weber function identities are proved for these functions.
William B. Hart, Hart, William B.
core   +1 more source

Analysis of theta power in hippocampal EEG during bar pressing and running behavior in rats during distinct behavioral contexts [PDF]

, 2004
These experiments examine changes in theta power as measured by wavelet analysis in five rats performing a conditional visual discrimination task and a simple running task. In the conditional task, rats were trained to press one lever to initiate a trial
Hyman, James M., Rossi, Christina A., James M. Hyman, Hasselmo, Michael E., Bradley P. Wyble, Wyble, Brad, Michael E. Hasselmo, Christina A. Rossi   +7 more
core   +1 more source

On certain relations among the generating functions for certain quadratic forms [PDF]

Notes on Number Theory and Discrete Mathematics
The object of this article is to establish the relation between the generating function of the quadratic form 2m²+2mn+3n² and the generating functions for the quadratic forms m²+mn+n², m²+mn+2n², m²+mn+4n² and 2m²+mn+2n².
K. R. Vasuki, P. Nagendra
doaj   +1 more source

Decision time, slow inhibition, and theta rhythm [PDF]

, 2010
In this paper, we examine decision making in a spiking neuronal network and show that longer time constants for the inhibitory neurons can decrease the reaction times and produce theta rhythm.We analyze the mechanism and find that the spontaneous firing
Smerieri, Anteo, Edmund T. Rolls, Feng, Jianfeng, Jianfeng Feng, Rolls, Edmund T., Anteo Smerieri   +5 more
core   +1 more source

Learning alters theta amplitude, theta-gamma coupling and neuronal synchronization in inferotemporal cortex [PDF]

, 2011
Background: How oscillatory brain rhythms alone, or in combination, influence cortical information processing to support learning has yet to be fully established.
Zhang Xuejuan, Yang Zhan, Zhan Yang, Nicol, Alister U., Fischer Hanno, Kendrick, Keith M., Xuejuan Zhang, Zhang, Xuejuan, Hanno Fischer, Nicol Alister U, Fischer, Hanno, Zhan, Yang, Alister U Nicol, Feng, Jianfeng, Jianfeng Feng, Keith M Kendrick, Kendrick Keith M, Feng Jianfeng   +17 more
core   +4 more sources

A new class of theta function identities in two variables [PDF]

, 2010
We describe a new series of identities, which hold for certain general theta series, in two completely independent variables. We provide explicit examples of these identities involving the Dedekind eta function, Jacobi theta functions, and various ...
Toh, Pee Choon, Chapman, Robin (Robin John), Hart, William B.   +2 more
core   +1 more source

Some congruences for 3-component multipartitions

Open Mathematics, 2016
Let p3(n) denote the number of 3-component multipartitions of n. Recently, using a 3-dissection formula for the generating function of p3(n), Baruah and Ojah proved that for n ≥ 0, p3(9n + 5) ≡ 0 (mod 33) and p3 (9n + 8) ≡ 0 (mod 34).
Zhao Tao Yan, Jin Lily J., Gu C.
doaj   +1 more source

Determinant identities for theta functions

Journal of Mathematical Analysis and Applications, 2008
Bei der Vielzahl von Identitäten zwischen Thetafunktionen haben sich eine Reihe von Autoren immer wieder bemüht, Ausgangsidentitäten zu finden, die eine Serie von Identitäten als Spezialfälle enthalten. Die Verff. stellen einige derartige Identitäten vor und beweisen u.a.
Cooper, S., Toh, P.C.
openaire   +2 more sources

Seesaw identities and theta contractions with generalized theta functions, and restrictions of theta lifts

The Ramanujan Journal, 2023
18 ...
openaire   +3 more sources

New Types of Doubly Periodic Standing Wave Solutions for the Coupled Higgs Field Equation

Abstract and Applied Analysis, 2014
Based on the Hirota bilinear method and theta function identities, we obtain a new type of doubly periodic standing wave solutions for a coupled Higgs field equation.
Gui-qiong Xu
doaj   +1 more source