Results 71 to 80 of about 69,416 (237)
Some topics on the Fourier coefficients of modular forms [PDF]
, 2018 This thesis consists of three parts. In the first part, we study the gaps between non-zero Fourier coefficients of cuspdial CM eigenforms in the short intervals.
Kaushik, S, Kumar, Narasimha
core
The Saito-Kurokawa lifting and Darmon points
, 2012 Let $E_{/_\Q}$ be an elliptic curve of conductor $Np$ with $p\nmid N$ and let $f$ be its associated newform of weight 2. Denote by $f_\infty$ the $p$-adic Hida family passing though $f$, and by $F_\infty$ its $\Lambda$-adic Saito-Kurokawa lift.
AN Andrianov +20 more
core +3 more sources
Advanced Functional Materials, EarlyView.Flow through a nozzle is a common component of most fluid‐based polymer processing techniques such as spray drying, inkjet printing, extrusion. An ultrahigh molecular weight multi‐mechanophore system is used to probe the differences in the distribution of mechanical activation observed between nozzle flow and ultrasonication; the gold standard ...
Niamh Willis‐Fox +4 more
wiley +1 more source
Sums of quadratic functions with two discriminants
, 2017 Zagier in [4] discusses a construction of a function $F_{k,D}(x)$ defined for an even integer $k \geq 2$, and a positive discriminant $D$. This construction is intimately related to half-integral weight modular forms.
Wong, Ka Lun
core +1 more source
Spectacle cycles with coefficients and modular forms of half-integral weight
, 2011 In this paper we present a geometric way to extend the Shintani lift from even weight cusp forms for congruence subgroups to arbitrary modular forms, in particular Eisenstein series. This is part of our efforts to extend in the noncompact situation the results of Kudla-Millson and Funke-Millson relating Fourier coefficients of (Siegel) modular forms ...
Funke, J., Millson, J.
openaire +3 more sources
Advanced Functional Materials, EarlyView.This study develops a self‐powered permeable electronic dressing (SPED) that synergistically integrates exudate management, electrical stimulation, and on‐demand drug delivery. The dressing effectively absorbs exudate while demonstrating potent antibacterial activity and accelerated tissue regeneration in diabetic mouse models, thereby promoting ...
Jiaheng Liang +12 more
wiley +1 more source
Advanced Functional Materials, EarlyView.MagPiezo enables wireless activation of endogenous Piezo1 channels without genetic modification using 19 nm magnetic nanoparticles and low‐intensity magnetic fields. It generates torque forces at the piconewton scale to trigger mechanotransduction in endothelial cells, standing as a novel platform to interrogate and manipulate Piezo1 activity in vitro.
Susel Del Sol‐Fernández +7 more
wiley +1 more source
An Engineered Living Material With Pro‐Angiogenic Activity Inducible by Near‐Infrared Light
Advanced Functional Materials, EarlyView.NIR‐responsive engineered living materials (ELMs) for controlled angiogenesis: Near‐infrared (800 nm) light activates engineered probiotic bacteria within alginate‐based living materials to secrete a blood vessel‐regenerating protein. The released protein promotes pro‐angiogenic effects in endothelial networks and chick chorioallantoic membranes.
Anwesha Chatterjee +4 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Two pyridinium‐based ionic liquid templated hybrid manganese halides, (C4Py)2[MnCl4] and (C4Py)2[MnBr4], display similar bulk structures but show significantly different photoluminescence behaviors due to the bromine heavy‐atom effect. Their stable local Mn environments remain intact even in the molten state, allowing applications such as luminescence ...
Biswajit Bhattacharyya +22 more
wiley +1 more source
Modular forms of half integral weight, some explicit arithmetic
Mathematische Annalen, 1983 No abstract.
openaire +2 more sources