Results 21 to 30 of about 11,848 (104)
Hecke-type double sums, Appell-Lerch sums, and mock theta functions (I)
, 2012 By developing a connection between partial theta functions and Appell-Lerch sums, we find and prove a formula which expresses Hecke-type double sums in terms of Appell-Lerch sums and theta functions.
Andrews +33 more
core +1 more source
k-Run Overpartitions and Mock Theta Functions [PDF]
, 2012 In this paper we introduce k-run overpartitions as natural analogs to partitions without k-sequences, which were first defined and studied by Holroyd, Liggett, and Romik. Following their work as well as that of Andrews, we prove a number of results for k-
Bringmann, Kathrin +3 more
core +2 more sources
Partition Identities for Ramanujan's Third Order Mock Theta Functions
, 2010 We find two involutions on partitions that lead to partition identities for Ramanujan's third order mock theta functions $\phi(-q)$ and $\psi(-q)$. We also give an involution for Fine's partition identity on the mock theta function f(q).
Chen, William Y. C. +2 more
core +1 more source
Vector-valued modular forms and the Mock Theta Conjectures [PDF]
, 2016 The mock theta conjectures are ten identities involving Ramanujan's fifth-order mock theta functions. The conjectures were proven by Hickerson in 1988 using q-series methods.
Andersen, Nickolas
core +2 more sources
The Bailey chain and mock theta functions
, 2012 Standard applications of the Bailey chain preserve mixed mock modularity but not mock modularity. After illustrating this with some examples, we show how to use a change of base in Bailey pairs due to Bressoud, Ismail and Stanton to explicitly construct ...
Alfes +34 more
core +4 more sources
Asymptotic expansions, $L$-values and a new Quantum Modular Form [PDF]
, 2013 In 2010 Zagier introduced the notion of a quantum modular form. One of his first examples was the "strange" function $F(q)$ of Kontsevich. Here we produce a new example of a quantum modular form by making use of some of Ramanujan's mock theta functions ...
Costa, Edgar +2 more
core +3 more sources
Nonlinear Response‐History Analyses of Masonry and Mixed Structures With HybriDFEM
Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT The hybrid discrete‐finite element (HybriDFEM) method, previously developed to perform static and modal analysis in discrete and coupled discrete‐finite element models, is extended to nonlinear response‐history analyses. The equations of motion for the HybriDFEM model are solved through various numerical time‐integration schemes, both explicit
Igor Bouckaert +2 more
wiley +1 more source
Mock theta functions and weakly holomorphic modular forms modulo 2 and 3 [PDF]
, 2013 We prove that the coefficients of certain mock theta functions possess no linear congruences modulo 3. We prove similar results for the moduli 2 and 3 for a wide class of weakly holomorphic modular forms and discuss applications.
Ahlgren, Scott, Kim, Byungchan
core +1 more source
Journal of Sleep Research, Volume 34, Issue 2, April 2025.Summary Boosting slow‐wave activity (SWA) by modulating slow waves through closed‐loop auditory stimulation (CLAS) might provide a powerful non‐pharmacological tool to investigate the link between sleep and neurodegeneration. Here, we established mouse CLAS (mCLAS)‐mediated SWA enhancement and explored its effects on sleep deficits in neurodegeneration,
Inês Dias +5 more
wiley +1 more source
A Study of Fq-Functions Connected with Ramanujan's Tenth Order Mock Theta Functions [PDF]
, 2004 <P>We have defined generalized functions which reduce to Ramanujan's mock theta functions of order ten. We have shown that they are Fq-functions. We have given their integral representation and multibasic expansions.
Srivastava, Bhaskar
core +1 more source