A DIOPHANTINE PROBLEM CONCERNING POLYGONAL NUMBERS
نویسندگان
چکیده
منابع مشابه
A Diophantine Problem concerning Polygonal Numbers
Motivated by some earlier Diophantine works on triangular numbers by Ljunggren and Cassels, we consider similar problems for general polygonal numbers.
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In the first part of this series of papers, we solved LeVeque’s problem that was to establish a central limit theorem for the number of solutions of the diophantine inequality ∣∣∣∣x− pq ∣∣∣∣ ≤ f(log q) q2 in unknowns p, q with q > 0, where f is a function satisfying special assumptions and x is chosen randomly in the unit interval. In this continuation, we are interested in the almost sure beha...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2013
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972712001050