منابع مشابه
Sums of almost equal prime squares
In this short note, we prove that almost all integers N satisfying N ≡ 3 (mod 24) and 5 -N or N ≡ 4 (mod 24) is the sum of three or four almost equal prime squares, respectively: N = p21 + · · ·+ p 2 j with |pi − (N/j) 1/2| ≤ N1/2−9/80+ε for j = 3 or 4 and 1 ≤ i ≤ j.
متن کاملOn Sums of Powers of Almost Equal Primes
We investigate the Waring-Goldbach problem of representing a positive integer n as the sum of s kth powers of almost equal prime numbers. Define sk = 2k(k − 1) when k > 3, and put s2 = 6. In addition, put θ2 = 19 24 , θ3 = 4 5 and θk = 5 6 (k > 4). Suppose that n satisfies the necessary congruence conditions, and put X = (n/s). We show that whenever s > sk and ε > 0, and n is sufficiently large...
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The just-in-time concept in manufacturing has aroused interest in machine scheduling problems with earliness-tardiness penalties. In particular, common due date problems, which are structurally less complicated than problems with general due dates, have emerged as an interesting and proliic eld of research. We prove that so-called almost common due date problems, in which the due date d j and p...
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In modern computers, the oating point unit is the part of the processor delivering the highest computing power and getting all the attention from the design team. Performances of any multiple precision application will be dramatically enhanced by an adequate usage of the oating point expansions. We present in this work some new multiplication algorithms faster and more integrated than the stepw...
متن کاملOn the Group of Almost-Riordan Arrays
We study a super group of the group of Riordan arrays, where the elements of the group are given by a triple of power series. We show that certain subsets are subgroups, and we identify a normal subgroup whose cosets correspond to Riordan arrays. We give an example of an almost-Riordan array that has been studied in the context of Hankel and Hankel plus Toepliz matrices, and we show that suitab...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2010
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2009.12.002