منابع مشابه
On sums of seven cubes
We show that every integer between 1290741 and 3.375× 1012 is a sum of 5 nonnegative cubes, from which we deduce that every integer which is a cubic residue modulo 9 and an invertible cubic residue modulo 37 is a sum of 7 nonnegative cubes.
متن کاملAliquot sums of Fibonacci numbers
Here, we investigate the Fibonacci numbers whose sum of aliquot divisors is also a Fibonacci number (the prime Fibonacci numbers have this property).
متن کاملSums of Three Squareful Numbers
We investigate the frequency of positive squareful numbers x, y, z 6 B for which x + y = z and present a conjecture concerning its asymptotic behaviour. Mathematics Subject Classification (2010). 11D45 (11P05, 14G05).
متن کاملSums of Betti numbers in arbitrary characteristic -1 Sums of Betti numbers in arbitrary characteristic
Sums of Betti numbers in arbitrary characteristic Nicholas M. Katz Introduction In [Mil], Milnor gave an explicit upper bound for the sum of the Betti numbers of a complex affine algebraic variety V. If V is defined in ^N, N ≥ 1, by r ≥ 1 equations Fi, i =1 to r, all of degree ≤ d, Milnor showed ‡i h i(V, $) ≤ d(2d-1)2N-1. Oleinik [Ol] and Thom [Th] gave similar results. It is standard (cf. the...
متن کاملOn the Convergence Rate of the Law of Large Numbers for Sums of Dependent Random Variables
In this paper, we generalize some results of Chandra and Goswami [4] for pairwise negatively dependent random variables (henceforth r.v.’s). Furthermore, we give Baum and Katz’s [1] type results on estimate for the rate of convergence in these laws.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2015
ISSN: 0024-6107,1469-7750
DOI: 10.1112/jlms/jdv061