Deception Affects Interbrain Electroencephalographic and Autonomic Synchronization Within a Dyad: A Hyperscanning Study. [PDF]
The deception group (DG) exhibited higher inter‐brain synchronization (IBS) before the interview in a theta band cluster and during the interview in an alpha band cluster, while displaying decreased heart rate synchrony (HRS) in the high frequency band compared to the non‐deception group (NDG).
Veneziani G +4 more
europepmc +2 more sources
PP2A methylesterase, PME-1, and PP2A methyltransferase, LCMT-1, control sensitivity to impairments caused by injury-related oligomeric tau. [PDF]
Abstract INTRODUCTION Oligomeric species of tau are a hallmark of Alzheimer's disease (AD). Given the evidence implicating protein phosphatase 2A (PP2A) in the molecular pathogenesis of tauopathies, we sought to determine whether manipulating the expression of enzymes that regulate PP2A activity, such as leucine carboxyl methyltransferase 1 (LCMT‐1 ...
Sundaresh SN +17 more
europepmc +2 more sources
Optimal mock Jacobi theta functions
We classify the optimal mock Jacobi forms of weight one with rational coefficients. The space they span is thirty-four-dimensional, and admits a distinguished basis parameterized by genus zero groups of isometries of the hyperbolic plane. We show that their Fourier coefficients can be expressed explicitly in terms of singular moduli, and obtain ...
Cheng, M.C.N., Duncan, J.F.R.
openaire +6 more sources
Effective Congruences for Mock Theta Functions [PDF]
Let M(q) =∑ c(n)q n 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 l j ) where A is a multiple of l and an auxiliary prime, p. Moreover, we give an effectively computable upper bound on the smallest such p for which these congruences hold.
Andersen, Nickolas +3 more
openaire +4 more sources
Superconformal algebras and mock theta functions [PDF]
It is known that characters of BPS representations of extended superconformal algebras do not have good modular properties due to extra singular vectors coming from the BPS condition. In order to improve their modular properties we apply the method of Zwegers which has recently been developed to analyze modular properties of mock theta functions.
Eguchi, Tohru, Hikami, Kazuhiro
openaire +2 more sources
Representations of mock theta functions [PDF]
Motivated by the works of Liu, we provide a unified approach to find Appell-Lerch series and Hecke-type series representations for mock theta functions. We establish a number of parameterized identities with two parameters $a$ and $b$. Specializing the choices of $(a,b)$, we not only give various known and new representations for the mock theta ...
Chen, Dandan, Wang, Liuquan
openaire +4 more sources
Bilateral series in terms of mixed mock modular forms
The number of strongly unimodal sequences of weight n is denoted by u ∗ ( n ) $u^{*}(n)$ . The generating functions for { u ∗ ( n ) } n = 1 ∞ $\{u^{*}(n)\}_{n=1}^{\infty}$ are U ∗ ( q ) = ∑ n = 1 ∞ u ∗ ( n ) q n $U^{*}(q)=\sum_{n=1}^{\infty}u^{*}(n)q^{n}$
Bin Chen, Haigang Zhou
doaj +1 more source
The Three-Point Correlation Function of Luminous Red Galaxies in the Sloan Digital Sky Survey [PDF]
We present measurements of the redshift-space three-point correlation function of 50,967 Luminous Red Galaxies (LRGs) from Data Release 3 (DR3) of the Sloan Digital Sky Survey (SDSS).
Abazajian +60 more
core +4 more sources
Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products [PDF]
We present some applications of the Kudla-Millson and the Millson theta lift. The two lifts map weakly holomorphic modular functions to vector valued harmonic Maass forms of weight $3/2$ and $1/2$, respectively.
Bruinier, Jan Hendrik +1 more
core +1 more source
Radial limits of mock theta functions [PDF]
Inspired by the original definition of mock theta functions by Ramanujan, a number of authors have considered the question of explicitly determining their behavior at the cusps.
Bringmann, Kathrin, Rolen, Larry
core +2 more sources

