Results 81 to 90 of about 167,831,130 (242)

A formula for the action of Hecke operators on half-integral weight Siegel modular forms and applications

open access: yes, 2013
We introduce an alternate set of generators for the Hecka algebra, and give an explicit formula for the action of these operators on Fourier coefficients. With this, we compute the eigenvalues of Hecke operators acting on average Siegel theta series with
Walling, LH
core   +1 more source

Organic Materials of Tomorrow: Horizons of Artificial Intelligence

open access: yesAdvanced Materials, EarlyView.
This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena   +3 more
wiley   +1 more source

Rational Tuning of Hygroscopic Oscillation of Stacked Nanoflake Assemblies for Continuous Ambient Energy Harvesting

open access: yesAdvanced Materials, EarlyView.
Stacked nanoflake assembly (SNA) membranes can oscillate autonomously, offering opportunities for soft actuation and energy harvesting. This work uncovers the physical mechanism behind the sustained oscillation of SNA membranes in gradient humidity and identifies three governing dimensionless parameters, enabling rational design for optimizing SNA ...
Zijing Zhang   +5 more
wiley   +1 more source

Data‐Driven Materials Science for Energy‐Sustainable Applications

open access: yesAdvanced Materials, EarlyView.
Data‐driven approaches powered by artificial intelligence are transforming materials discovery for energy sustainability. This review examines how auto‐generated high‐quality materials databases and domain‐specific language models accelerate research in photovoltaics, thermoelectrics, batteries and magnetic materials. Applications involve extraction of
Jacqueline M. Cole
wiley   +1 more source

Distribution of coefficients of half-integral weight modular forms

open access: yes, 2020
Cette thèse traite de certains aspects analytiques liés aux coefficients de Fourier des formes modulaires de poids demi-entier. On étudie en particulier deux problèmes a priori bien différents mais que l’on reliera.Tout d’abord, on s’intéresse aux sommes
DARREYE, Corentin
core  

Electrolyte Design for Fast‐Charging Lithium‐Based Batteries

open access: yesAdvanced Materials, EarlyView.
A decade of progress in fast‐charging electrolytes for lithium batteries is reviewed. Electrolyte design strategies spanning solvents, salts, additives, and advanced systems, such as localized high‐concentration electrolytes (LHCEs), are summarized. Advanced diagnostic tools for lithium plating and interphase chemistry are discussed, with perspectives ...
Chen Liu, Zehao Cui, Arumugam Manthiram
wiley   +1 more source

Spatial Control of Light‐Responsive Proteins and Optogenetics Within Hydrogels via Volumetric Bioprinting

open access: yesAdvanced Materials, EarlyView.
Spatiotemporal control over cell behavior within bioprinted constructs remains a key challenge in biofabrication. Volumetric bioprinting using multi‐wavelength light sources permits to activate light‐sensitive intracellular proteins as well as optogenetic gene and protein expression circuits in bioprinted cells, in addition to enabling fast printing of
Davide Ribezzi   +14 more
wiley   +1 more source

Fourier coefficients of modular forms of half-integral weight

open access: yesInventiones Mathematicae, 1987
The Fourier coefficients \(a_n\) of normalized cusp forms for \(\Gamma_0(4N)\) of half-integral weight \(k\geq 5/2\) are shown to satisfy for \(n\) square-free \[ a_ n=O(n^{k/2-2/7+\varepsilon}). \] This exponent is \(3/14\) more than the Ramanujan-Petersson conjecture would give.
openaire   +2 more sources

Polyphenol‐Inspired Materials for Agricultural Applications

open access: yesAdvanced Materials, EarlyView.
This review outlines the use of polyphenol‐inspired materials for sustainable agriculture, highlighting their molecular design, interfacial assembly, structure–property relationships, and prospects toward precision agriculture, climate resilience, ecosystem protection, and circular bioeconomy strategies.
Haofu Liu   +8 more
wiley   +1 more source

Negative weight modular forms

open access: yes, 2009
1
최영주
core  

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