ar X iv : 0 80 6 . 49 47 v 1 [ m at h . N T ] 3 0 Ju n 20 08 Examples of finite p - divisible sets of MHS
نویسنده
چکیده
The following examples give evidence to the following conjecture contained in my paper [2]. All the main theoretical results can be found in that paper. Conjecture 1. Let d be a positive integer and ~s ∈ N. Then the set J(~s|p) is finite for every prime p. Example 2. The first example we would like to do is about the partial sums of ζ(2) series. The prime p = 7 is a little different from the others because H(2; 3) = 49/36. We find that J1(2|7) = {3, 6}, J1(2|7 ) = {3}. By [2, Thm 3.6] n = 7ñ+ r ∈ J2(2|7), 0 ≤ r ≤ 6, exists if and only if ñ = 3, and H(r) ≡ −ψ(3) ≡ −1/36 ≡ −1 (mod 7).
منابع مشابه
ar X iv : 0 80 6 . 27 19 v 1 [ m at h . G N ] 1 7 Ju n 20 08 A property of C p [ 0 , 1 ]
We prove that for every finite dimensional compact metric space X there is an open continuous linear surjection from Cp[0, 1] onto Cp(X). The proof makes use of embeddings introduced by Kolmogorov and Sternfeld in connection with Hilbert’s
متن کاملar X iv : 0 80 6 . 24 12 v 1 [ m at h . G R ] 1 5 Ju n 20 08 Compactly supported cohomology of buildings
We compute the compactly supported cohomology of the standard realization of any locally finite building. AMS classification numbers. Primary: 20F65 Secondary: 20E42, 20F55, 20J06, 57M07.
متن کاملar X iv : 0 80 6 . 46 34 v 1 [ he p - ex ] 3 0 Ju n 20 08 LPHE 2008 - 05 June 30 , 2008 B 0 – B 0 MIXING
متن کامل
ar X iv : 0 80 6 . 22 56 v 1 [ m at h . R A ] 1 3 Ju n 20 08 The initial meadows
A meadow is a commutative ring with an inverse operator satisfying 0 = 0. We determine the initial algebra of the meadows of characteristic 0 and show that its word problem is decidable.
متن کاملar X iv : 0 80 6 . 44 99 v 1 [ m at h . G N ] 2 7 Ju n 20 08 Aronszajn Compacta ∗
We consider a class of compacta X such that the maps from X onto metric compacta define an Aronszajn tree of closed subsets of X.
متن کامل