Results 51 to 60 of about 167,831,130 (242)
On Siegel modular forms of half-integral weights and Jacobi forms [PDF]
We will establish a bijective correspondence between the space of the cuspidal Jacobi forms and the space of the half-integral weight Siegel cusp forms which is compatible with the action of the Hecke operators. This correspondence is based on a bijective correspondence between the irreducible unitary representations of a two-fold covering group of a ...
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A systematic review is conducted to assess the influence of electrode architecture across micro‐ to mesoscopic length scales on electron‐transfer pathways in electrocatalysis. We discuss the structure‐activity relationships in electrocatalytic applications, including resource recovery and environmental remediation, and provide cost‐effective, efficient
Manshu Zhao +6 more
wiley +1 more source
Inspired by skeletal muscles’ precision and endurance, CoilLCE integrates a self‐sensing liquid crystal elastomer/graphene artificial muscle with an embedded Joule‐heating copper coil, enabling closed‐loop multistage actuation with programmable intermediate states (strain accuracy of 2%), and antagonistic coordination (32% total strain). These features
Ziyun Zhang +9 more
wiley +1 more source
A gas‐fed, zero‐gap, PEM CO2 electrolyzer is realized by incorporating PDDA+ ions onto the carbonaceous Co/N‐C electrocatalyst, with gaseous H2 and CO2 fed into the anode and cathode, respectively. Operating without an aqueous electrolyte, the system sustains a peak FECO of 65.1% at 100 mA cm−2. ABSTRACT Electrochemical carbon dioxide reduction (ECO2R)
Yuen Leong Chow +6 more
wiley +1 more source
Cell therapies typically rely on cold‐chain logistics and cryopreservation, limiting access and compromising cell quality. Here, a dual‐chamber device separates an oxygen‐supplying chamber from a hyaluronic acid cargo chamber, sustaining oxygen delivery for over 70 h and enabling ambient‐temperature shipment.
Daniel A. Domingo‐Lopez +9 more
wiley +1 more source
Self-dual codes over Z(4) and half-integral weight modular forms
In this paper, we find a connection between the weight enumerator of self-dual Z(4) codes and half-integral weight modular forms.
Sole, P, Choie, Y
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An integrated pulmonary mRNA delivery platform combining novel biodegradable syringic acid‐derived ionizable lipids, design‐of‐experiments formulation optimization, and vibrating‐mesh nebulizer engineering enabled stable aerosolization and efficient lung delivery.
Neha Kaushal +21 more
wiley +1 more source
On the Trace of the Representation of SL(2,Z/NZ) in the space of Modular Forms of Half Integral Weight [PDF]
application/pdfWe determine explicitly the trace of the representation of SL(2,Z/NZ) in the space of modular forms of half integral weight and derive an explicit formula of the multiplicities of all irreducible components occuring in the representation ...
Kojima, Hisashi
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This study presents a magneto‐mechanical strategy that incorporates FP@MSCs into an aligned PCL/GelMA nerve guidance conduit. Magnetic stimulation increases membrane tension in FP@MSCs, triggering cytoskeletal remodeling, Schwann cell‐like differentiation, and TIMP1 secretion. TIMP1 activates ITGB1/CD63–FAK signaling in NE‐4C cells, increasing membrane
Xinyu Zhu +14 more
wiley +1 more source
On Hilbert modular forms of half-integral weight
The main result of the first part of the paper gives a certain correspondence between holomorphic Hilbert modular forms of half-integral weight and holomorphic Hilbert modular forms of even integral weight and is a generalization of the well-known ``Shimura correspondence'' in the case of elliptic modular forms [the author, Ann. Math. (2) 97, 440--481 (
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