Publications associées à Théorie analytique des nombres

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A Local Law for Singular Values from Diophantine Equations

Marius Christopher Lemm

We introduce the

N\times N

random matrices

X_{j,k}=\exp\left(2\pi i \sum_{q=1}^d\ \omega_{j,q} k^q\right) \quad \text{with } \{\omega_{j,q}\}_{\substack{1\leq j\leq N\\ 1\leq q\leq d}} \text{ i.i.d. random variables},

and

d

a fixed integer. We pr ...

2020

Théorie analytique des nombres

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Mean value theorems for collections of lattices with a prescribed group of symmetries

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High energy barriers for edge dislocation motion in body-centered cubic high entropy alloys

Rate of change of frequency under line contingencies in high voltage electric power networks with uncertainties

A generalization of Kátai's orthogonality criterion with applications

Generalized and Reduced Analytical Formulation for Ultra-Fast 3-D Field and Vector Potential Calculation From Arch-Shaped Axially Magnetized Bodies in Electrical Machines