A unified model of cusp spot, High Latitude Dayside aurora (HiLDA)/(Space Hurricane), and 15MLT-PCA
Cusp spot, High Latitude Dayside aurora (HiLDA), ‘space hurricane’, and 15MLT-PCA (Polar Cap Arc observed around 15:00 Magnetic Local Time) are mesoscale auroral structures observed in the polar cap region.
DeSheng Han +4 more
doaj +1 more source
Cohomological relation between Jacobi forms and skew-holomorphic Jacobi forms [PDF]
Eichler and Zagier developed a theory of Jacobi forms to understand and extend Maass' work on the Saito-Kurokawa conjecture. Later Skoruppa introduced skew-holomorphic Jacobi forms, which play an important role in understanding liftings of modular forms ...
Choi, Dohoon, Lim, Subong
core
An arithmetic Hilbert-Samuel theorem for singular hermitian line bundles and cusp forms
We prove an arithmetic Hilbert-Samuel type theorem for semi-positive singular hermitian line bundles of finite height. In particular, the theorem applies to the log-singular metrics of Burgos-Kramer-K\"uhn. Our theorem is thus suitable for application to
Arakelov +8 more
core +1 more source
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
On the universality of Dirichlet series of holomorphic cusp forms
There is not abstract.
Audrius Kačėnas +2 more
doaj +3 more sources
Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52
The convolution sum, ∑(l,m)∈N02αl+βm=nσ(l)σ(m), $ \begin{array}{} \sum\limits_{{(l\, ,m)\in \mathbb{N}_{0}^{2}}\atop{\alpha \,l+\beta\, m=n}} \sigma(l)\sigma(m), \end{array} $ where αβ = 22, 44, 52, is evaluated for all natural numbers n. Modular forms
Ntienjem Ebénézer
doaj +1 more source
Multi-site observations of the association between aurora and plasma convection in the cusp/polar cap during a southeastward(By ~ |Bz|) IMF orientation [PDF]
In a case study we demonstrate the spatiotemporal structure of aurora and plasma convection in the cusp/polar cap when the interplanetary magnetic field (IMF) Bz < 0 and By ~ | Bz | (clock angle in GSM Y - Z plane: ~ 135°). This IMF orientation
P. E. Sandholt +8 more
doaj +1 more source
A note on Fourier coefficients of Poincar\'e series
We give a short and "soft" proof of the asymptotic orthogonality of Fourier coefficients of Poincar\'e series for classical modular forms as well as for Siegel cusp forms, in a qualitative form.Comment: 10 ...
Abhishek Saha +3 more
core +1 more source
Fields of rationality of cusp forms [PDF]
In this paper, we prove that for any totally real field $F$, weight $k$, and nebentypus character $ $, the proportion of Hilbert cusp forms over $F$ of weight $k$ and character $ $ with bounded field of rationality approaches zero as the level grows large. This answers, in the affirmative, a question of Serre.
openaire +4 more sources
An intracellular transporter mitigates the CO2‐induced decline in iron content in Arabidopsis shoots
This study identifies a gene encoding a transmembrane protein, MIC, which contributes to the reduction of shoot Fe content observed in plants under elevated CO2. MIC is a putative Fe transporter localized to the Golgi and endosomal compartments. Its post‐translational regulation in roots may represent a potential target for improving plant nutrition ...
Timothy Mozzanino +7 more
wiley +1 more source

