Series of Reciprocal Powers of k-almost Primes

Details Series of Reciprocal Powers of k-almost Primes Series of Reciprocal Powers of k-almost Primes

2008-03-06

arxiv.org/abs/0803.0900v3

Mathematics

Number Theory

Added Section 1, Equations 4+5, Remark 2, Table 2, and Section 4.3

Scientific paper

Sums over inverse s-th powers of semiprimes and k-almost primes are transformed into sums over products of powers of ordinary prime zeta functions. Multinomial coefficients known from the cycle decomposition of permutation groups play the role of expansion coefficients. Founded on a known convergence acceleration for the ordinary prime zeta functions, the sums and first derivatives are tabulated with high precision for indices k=2,...,6 and integer powers s=2,...,8.

Affiliated with

Also associated with

No associations

Rating

Series of Reciprocal Powers of k-almost Primes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Series of Reciprocal Powers of k-almost Primes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Series of Reciprocal Powers of k-almost Primes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-14132