In~\cite{CS04}, Calegari and Stein studied the congruences between classical cusp forms $S_k(\Gamma_0(p))$ of prime level made several conjectures about them. In~\cite{AB07} (resp., ~\cite{BP11}) authors proved one those their generalizations). In this article, we study analogous conjecture its generalizations for Drinfeld modular forms.

In this work a 1D finite volume based model using coupled meshes is introduced to capture potential and species distribution throughout the discharge process in lithium–bismuth liquid metal battery while neglecting hydrodynamic effects, focusing on electrochemical properties of cell mass transport electrolyte cathode. Interface reactions electrical double layer are considered through introducti...

We discuss the construction of C 2 cubic spline quasi-interpolation schemes defined on a refined partition. These are reduced in terms degrees freedom compared to those existing literature. Namely, we provide rule for reducing them by imposing super-smoothing conditions while preserving full smoothness and precision. In addition, subdivision rules means blossoming. The derived designed express ...

We numerically solved the full-dimensional electronic time-dependent Schrödinger equation for H2+ with Born-Oppenheimer approximation under different sin2-shaped and trapezoidal laser pulses at some wavelengths, I = 1 × 1013, 3 1013 6 Wcm−2 intensity 4.73 a.u. 7.0 internuclear distances. Some structures such as minima oscillatory patterns appearing in high-order harmonic generation (HHG) spectr...

The regularized four-dimensional Einstein-Gauss-Bonnet model has been recently proposed in [D. Glavan and C. Lin, Phys. Rev. Lett. \textbf{124}, 081301 (2020)] whose formulation is different of the Einstein theory, allowing us to bypass Lovelock theorem. action formulated higher dimensions ($D>4$) by adding Gauss-Bonnet correction conventional Einstein-Hilbert with a cosmological constant. spac...

We study collisions of kinks in the one-space and one-time dimensional noncanonical nonintegrable scalar $\phi^{6}$ model. examine energy density kink, we find that, as a function parameters that control curvature potential, localized inner structure emerges. also kink excitation spectrum dynamics for wide range initial velocities. apart from resonance windows, production two to three oscillons...

We numerically solved the full-dimensional electronic time-dependent Schrödinger equation for H2+ with Born-Oppenheimer approximation under different sin2-shaped and trapezoidal laser pulses at some wavelengths, I = 1 × 1013, 3 1013 6 Wcm−2 intensity 4.73 a.u. 7.0 internuclear distances. Some structures such as minima oscillatory patterns appearing in high-order harmonic generation (HHG) spectr...

The purpose of this paper is to introduce the notion of mixed twistor structure as a generalization of the notion of mixed Hodge structure. Recall that a mixed Hodge structure is a vector space V with three filtrations F , F ′ and W (the first two decreasing, the last increasing) such that the two filtrations F and F ′ induce i-opposed filtrations on Gr i (V ). (Generally (V,W ) is required to ...

This paper is a natural continuation of Krylov (2020), where strong Markov processes are constructed in time inhomogeneous setting with Borel measurable uniformly bounded and nondegenerate diffusion drift Ld+1(Rd+1). Here we study some properties these such as higher summability Green’s functions, maximum principle for related transport equations irregular coefficients, boundedness resolvent op...

This paper presents an investigation of the event-triggered control problem for active suspension system featuring a networked communication architecture and Dynamic Output Feedback Controller (DOFCs) while taking into account possibility failure in actuators. The event-triggering condition determines when it is necessary to transmit observed variables plant controller, order not saturate netwo...