Results 31 to 40 of about 12,785 (159)
Partial theta functions and mock modular forms as q-hypergeometric series [PDF]
, 2011 Ramanujan studied the analytic properties of many $q$-hypergeometric series. Of those, mock theta functions have been particularly intriguing, and by work of Zwegers, we now know how these curious $q$-series fit into the theory of automorphic forms.
Bringmann, Kathrin +2 more
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Asymptotics for Bailey-type mock theta functions [PDF]
The Ramanujan Journal, 2021 AbstractWe compute asymptotic estimates for the Fourier coefficients of two mock theta functions, which come from Bailey pairs derived by Lovejoy and Osburn. To do so, we employ the circle method due to Wright and a modified Tauberian theorem. We encounter cancelation in our estimates for one of the mock theta functions due to the auxiliary function $$\
openaire +2 more sources
A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS [PDF]
Transformation Groups, 2016 We give a characterization of modified (in the sense of Zwegers) mock theta functions, parallel to that of ordinary theta functions. Namely, modified mock theta functions are characterized by their analyticity properties, elliptic transformation properties, and by being annihilated by certain second order differential operators.
Kac, Victor, Wakimoto, Minoru
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New Mock Theta Function Identities via Fractional q-Calculus and Bilateral 2ψ2 Series
Fractal and FractionalMock 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
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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
On three theorems of Folsom, Ono and Rhoades
, 2013 In his deathbed letter to Hardy, Ramanujan gave a vague definition of a mock modular function: at each root of unity its asymptotics matches the one of a modular form, though a choice of the modular function depends on the root of unity. Recently Folsom,
Zudilin, Wadim
core +1 more source
Jumping on the moon as a potential exercise countermeasure
Experimental Physiology, EarlyView.Abstract The Moon's gravitational field strength (17% Earth's gravity) may facilitate the use of bodyweight jumping as an exercise countermeasure against musculoskeletal and cardiovascular deconditioning in reduced gravity settings. The present study characterised the acute physiological and kinetic responses to bodyweight jumping in simulated Lunar ...
Patrick Swain +4 more
wiley +1 more source
A partition identity and the universal mock theta function $g_2$ [PDF]
, 2013 We prove analytic and combinatorial identities reminiscent of Schur's classical partition theorem. Specifically, we show that certain families of overpartitions whose parts satisfy gap conditions are equinumerous with partitions whose parts satisfy ...
Bringmann, Kathrin +2 more
core
Nonlinear Response‐History Analyses of Masonry and Mixed Structures With HybriDFEM
Earthquake Engineering &Structural Dynamics, Volume 55, Issue 8, Page 1694-1709, 10 July 2026.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
From Dedekind’s Level 12 Identities to Combinatorial Structures of Colored Partitions
AxiomsThe Dedekind η-function plays an important role in number theory, particularly in the study of modular forms, q-series, and partition identities. In this paper, we investigate several level-12 η-function identities and examine their combinatorial ...
Fatemah Mofarreh +2 more
doaj +1 more source