Results 11 to 20 of about 44,715 (186)

Two identities on the mock theta function V0(q)

Journal of Mathematical Analysis and Applications, 2019
In this paper, applying the theory of (mock) modular forms and Zwegers' results on Appell-Lerch sums, we establish two identities on the eighth-order mock theta function V 0 ( q ) . Using these identities, we prove some congruences for V 0 ( q ) .
Renrong Mao
semanticscholar   +3 more sources

New Mock Theta Function Identities via Fractional q-Calculus and Bilateral ₂ψ₂ Series

Fractal and Fractional
Mock theta functions, introduced by Ramanujan in his last letter to Hardy, play a significant role in q-series theory and have natural connections to fractional q-calculus. In this paper, we study bilateral hypergeometric series of the form ψ22= ∑n=−∞∞(a,
Qiuxia Hu, Bilal Khan
doaj   +2 more sources

Congruences related to an eighth order mock theta function of Gordon and McIntosh

Journal of Mathematical Analysis and Applications, 2019
In this paper, we study arithmetic properties of a partition function related to an eighth order mock theta function of Gordon and McIntosh. Via elementary generating function manipulations, a complete characterization of the parity of this function is ...
Eduardo H. M. Brietzke, R. da Silva, James A. Sellers   +2 more
semanticscholar   +3 more sources

Deception Affects Interbrain Electroencephalographic and Autonomic Synchronization Within a Dyad: A Hyperscanning Study. [PDF]

Ann N Y Acad Sci
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, Luciani F, Giraldi E, Campedelli V, Lai C.   +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]

Alzheimers Dement
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, Vogel EW, Hue CD, Zhang H, Staniszewski A, Berman HL, Gill Z, Asam K, Liang S, Shen L, Gnanaprakash M, Acquarone E, Masone A, Fà M, Kanaan NM, Morrison B, Arancio O, Nicholls RE.   +17 more
europepmc   +2 more sources

On second order mock theta function $ B(q) $

Electronic Research Archive, 2021
In this paper, we present some arithmetic properties for the second order mock theta function $ B(q) $ given by McIntosh as: \begin{document}$ B(q) = \sum\limits_{n = 0}^{\infty}\frac{q^n(-q;q^2)_n}{(q;q^2)_{n+1}}. $\end{document}
H. Kaur, M. Rana
semanticscholar   +1 more source

Some new representations of Hikami's second-order mock theta function D5(q)  \mathfrak{D}_5(q)

Turkish Journal of Mathematics, 2021
: In this paper, a second-order mock theta function D5(q) given by Hikami [11] is studied. By using basic hypergeometric transformation formulae, we attain some new representations of Hikami’s mock theta function D5(q) .
Qiuxia Hu
semanticscholar   +1 more source

Bounds for Coefficients of the $f(q)$ Mock Theta Function and Applications to Partition Ranks [PDF]

, 2020
We compute effective bounds for $\alpha(n)$, the Fourier coefficients of Ramunujan's mock theta function $f(q)$ utilizing a finite algebraic formula due to Bruinier and Schwagenscheidt.
Kevin Gomez, Eric Zhu
semanticscholar   +1 more source

Effective Congruences for Mock Theta Functions [PDF]

Mathematics, 2013
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, Friedlander, Holley, Fuller, Jeremy, Goodson, Heidi   +3 more
openaire   +4 more sources

Representations of mock theta functions [PDF]

Advances in Mathematics, 2017
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