Local spacings along curves

DOI10.1016/j.jmaa.2006.07.016zbMath1111.11007OpenAlexW2002429815MaRDI QIDQ868820

Maosheng Xiong, Emre Alkan, Alexandru Zaharescu

Publication date: 26 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.016

zbMATH Keywords

elliptic curvesrational pointstorsion pointsdistribution along curveslocal spacings

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Related Items (2)

Pair correlation of roots of rational functions with rational generating functions and quadratic denominators ⋮ Pair correlation of torsion points on elliptic curves

Cites Work

• Distribution of lattice points visible from the origin
• Zeros of principal \(L\)-functions and random matrix theory
• The distribution of spacings between quadratic residues
• The h-spacing distribution between Farey points
• Explicit formulas for the pair correlation of zeros of functions in the Selberg class
• The distribution of spacings between fractional parts of lacunary sequences
• On successive settings of an arc on the circumference of a circle
• Statistical Theory of the Energy Levels of Complex Systems. I
• On the distribution of primes in short intervals
• Zeroes of zeta functions and symmetry
• On the distribution of primitive roots mod p
• Level clustering in the regular spectrum
• Random Matrices in Physics
• The distribution of spacings between quadratic residues. II
• The distribution of spacings between small powers of a primitive root
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