排序方式: 共有19条查询结果,搜索用时 15 毫秒
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Carl-Erik Fröberg 《BIT Numerical Mathematics》1961,1(4):256-262
Explicit formulæ which should be useful in practical computations, are given for the functions e–x, log x, (1 + x), arctg x/x, sin x/x, cos x and (2/x) arcsin (x/2) in the interval 0x1 except for log x, where the interval is 1/2x1 instead. 相似文献
3.
Carl-Erik Fröberg 《BIT Numerical Mathematics》1968,8(3):187-202
The basic properties of the prime zeta function are discussed in some detail. A certain Dirichlet series closely connected with the function is introduced and investigated. Its dependence on the structure of the natural numbers with respect to their factorization is particularly stressed. 相似文献
4.
In this paper we study primarily partitions in different squares. A complete characterization of the least number of terms needed in different cases is given. The asymptotic number of partitions in squares and in different squares is deduced by use of numerical results obtained from extensive computer runs. Some other related problems are also discussed. 相似文献
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Carl-Erik Fröberg 《BIT Numerical Mathematics》1966,6(3):191-211
We define the Möbius power series throughf(z)=
n-1
z
n
,g(z)=
n=1
(n)z
n
/n where (n) is the usual Möbius function. This paper presents some heuristic estimates describing the behavior off(z) andg(z) when |z| is close to 1 together with representations in terms of elementary functions for real values ofz. Function tables are also given together with zeros and a few other special values. 相似文献
7.
The Wilson remainders for all primes less than 50,000 have been computed and tabulated. The distribution of the remainders
divided by the corresponding primes has also been examined. 相似文献
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9.
Carl-Erik Fröberg 《BIT Numerical Mathematics》1988,28(3):406-411
Some numerical results will be presented concerning the largest and smallest values of square permanents containing the integers 1, 2, 3, ...,n
2
n=1(1)8.Dedicated to Peter Naur on the occasion of his 60th birthday 相似文献
10.
The number of Goldbach partitions has been computed for all even numbers 350,000 and compared to well-known theoretical estimates. The random fluctuations are slowly decreasing and less than ± 5 per cent at the upper end of the interval. The number of partitions is given explicitly for 2
n
,n=3(1)22. Further, if for a givenN the smallest prime in all partitions of 2N isa=a(2N) we have also determineda
1(2N
1)<a
2(2N
2)<... withN
1<N
2<... such thatn<N
k
impliesa(2n)<a
k
(2N
k
) up to 2n=40,000,000. 相似文献