搜索结果: 1-5 共查到“泛函分析 the Number”相关记录5条 . 查询时间(0.024 秒)
Average Number of Lattice Points in a Disk
lattice points Weyl asymptotics Bessel function
2012/6/29
The difference between the number of lattice points in a disk of radius $\sqrt{t}/2\pi$ and the area of the disk $t/4\pi$ is equal to the error in the Weyl asymptotic estimate for the eigenvalue count...
Creator-annihilator domains and the number operator
Creator-annihilator domains the number operator Functional Analysis
2012/4/23
We show that for the bosonic Fock representation in infinite dimensions, the maximal common domain of all creators and annihilators properly contains the domain of the square-root of the number operat...
A New Formula for the Natural Logarithm of a Natural Number
Natural Logarithm Natural Number Classical Analysis and ODEs
2011/9/20
Abstract: For every natural number $T,$ we write $\Ln T$ as a series, generalizing the known series for $\Ln 2.$.
Hilbert's Tenth Problem and Mazur's Conjectures in Complementary Subrings of Number Fields
Hilbert’s Tenth Problem undecidability elliptic curves primitive divisor
2011/2/24
We show that Hilbert’s Tenth Problem is undecidable for complementary subrings of number fields and that the p-adic and archimedean ring versions of Mazur’s conjectures do not hold in these rings .
It is conjectured that every integer N > 454 is the sum of seven nonnegative cubes. We prove the conjecture when N ≡ 2 mod 4. This result, together with a recent proof for 4|N,shows that the conjectur...