Results 41 to 50 of about 3,568,332 (307)
Sign of Fourier coefficients of modular forms of half integral weight [PDF]
We establish lower bounds for (i) the numbers of positive and negative terms and (ii) the number of sign changes in the sequence of Fourier coefficients at squarefree integers of a half-integral weight modular Hecke eigenform.
Y. Lau, E. Royer, Jie Wu
semanticscholar +1 more source
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$
We describe an asymptotic behavior of entire functions of improved regular growth with zeros on a finite system of rays in the metric of $L^p[0, 2\pi]$.
R.V. Khats’
doaj +1 more source
On products of Fourier coefficients of cusp forms [PDF]
The purpose of this paper is to study products of Fourier coefficients of an elliptic cusp form, a ( n ) a ( n + r ) ${a(n)a(n+r)}$ ( n ≥ 1 ${n\geq 1}$ ) for a fixed positive integer r, concerning both non-vanishing and non-negativity.
Eric Hofmann, W. Kohnen
semanticscholar +1 more source
A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source
Low‐temperature imidization of PEG‐modified polyimide enables fully screen‐printed, roll‐to‐roll fabrication of flexible electrodes on PET substrates, delivering robust mechanical durability and reliable ECG/EMG signal performance for wearable electronics.
Akib Abdullah Khan, Jong‐Hoon Kim
wiley +1 more source
Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for GLm(ℤ) [PDF]
Let f be a full-level cusp form for GLm(ℤ) with Fourier coefficients Af (n1, …, nm−1). In this paper, an asymptotic expansion of Voronoi’s summation formula for Af (n1, …, nm−1) is established. As applications of this formula, a smoothly weighted average
Xiumin Ren, Y. Ye
semanticscholar +1 more source
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Almost Periodic Solutions for Some Convolution Equations
We use the theory of Fourier series for almost periodic functions to looking for complex-valued functions f which are almost periodic on R and satisfy the following ...
Corduneanu Silvia-Otilia
doaj +1 more source
Fourier coefficients for automorphic forms on quasisplit classical groups [PDF]
In (J14), a conjecture was proposed on a relation be- tween the global Arthur parameters and the structure of Fourier coefficients of the automorphic representations in the correspond- ing global Arthur packets.
Dihua Jiang, Baiying Liu
semanticscholar +1 more source

