TY - JOUR
T1 - Pair correlation of sums of rationals with bounded height
AU - Alkan, Emre
AU - Xiong, Maosheng
AU - Zaharescu, Alexandru
PY - 2010/4
Y1 - 2010/4
N2 - For each positive integer Q, let ℱQ denote the Farey sequence of order Q. We prove the existence of the pair correlation measure associated to the sum ℱQ + ℱQ modulo 1, as Q tends to infinity, and compute the corresponding limiting pair correlation function.
AB - For each positive integer Q, let ℱQ denote the Farey sequence of order Q. We prove the existence of the pair correlation measure associated to the sum ℱQ + ℱQ modulo 1, as Q tends to infinity, and compute the corresponding limiting pair correlation function.
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U2 - 10.1515/CRELLE.2010.027
DO - 10.1515/CRELLE.2010.027
M3 - Article
AN - SCOPUS:77952476966
SN - 0075-4102
SP - 21
EP - 67
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
IS - 641
ER -