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52 papers · 1 filter
Modular parametrizations of certain elliptic curves
Matija Kazalicki, Yuichi Sakai, Koji Tasaka
Kaneko and Sakai recently observed that certain elliptic curves whose associated newforms (by the modularity theorem) are given by the eta-quotients can be characterized by a parti…
Self-Stabilizing Balancing Algorithm for Containment-Based Trees
Evangelos Bampas, Anissa Lamani, Franck Petit +1
Containment-based trees encompass various handy structures such as B+-trees, R-trees and M-trees. They are widely used to build data indexes, range-queryable overlays, publish/subs…
Correlation functions for zeros of a Gaussian power series and Pfaffians
Sho Matsumoto, Tomoyuki Shirai
We show that the zeros of the random power series with i.i.d. real Gaussian coefficients form a Pfaffian point process. We further show that the product moments for absolute values…
On the Fourier transforms of self-similar measures
Masato Tsujii
For the Fourier transform of a general (non-trivial) self-similar measure on the real line , we prove a large deviation estimate \[ \lim_{c\to +0} \v…
The singularities of the maps associated with Milnor fibrations
Daiki Sumida
Milnor fibrations have been studied since 1960's. In this paper, we study singular points of differentiable maps, called Milnor fibration product maps, obtained by several Milnor f…
Cyclotron resonant interactions in cosmic particle accelerators
T. Terasawa, S. Matsukiyo
A review is given for cyclotron resonant interactions in space plasmas. After giving a simple formulation for the test particle approach, illustrative examples for resonant interac…