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1.
Let be a fixed point free group given by the presentation
where and are relative prime numbers, t = /s and s = gcd( – 1,), and is the order of modulo . We prove that if (1) = 2, and (2) is embeddable into the multiplicative group of some skew field, then is circular. This means that there is some additive group N on which acts fixed point freely, and |((a)+b)((c)+d)| 2 whenever a,b,c,d N, a0c, are such that (a)+b(c)+d. 相似文献
2.
Guillermo López Lagomasino 《Constructive Approximation》1989,5(1):199-219
Letd be a finite positive Borel measure on the interval [0, 2] such that >0 almost everywhere; andW
n be a sequence of polynomials, degW
n
=n, whose zeros (w
n
,1,,w
n,n
lie in [|z|1]. Let d
n
<> for eachnN, whered
n
=d/|W
n
(e
i
)|2. We consider the table of polynomials
n,m such that for each fixednN the system
n,m,mN, is orthonormal with respect tod
n
. If
相似文献
3.
Charles M. Newman 《Constructive Approximation》1991,7(1):389-399
LetV(t) be the even function on (–, ) which is related to the Riemann xi-function by (x/2)=4
–
exp(ixt–V(t))dt. In a proof of certain moment inequalities which are necessary for the validity of the Riemann Hypothesis, it was previously shown thatV'(t)/t is increasing on (0, ). We prove a stronger property which is related to the GHS inequality of statistical mechanics, namely thatV' is convex on [0, ). The possible relevance of the convexity ofV' to the Riemann Hypothesis is discussed.Communicated by Richard Varga. 相似文献
4.
В. И. Щербаков 《Analysis Mathematica》1989,15(1):37-54
, {p
n}
n=0
(p0=1, n2 n2). : x f(t) V(G)
|