共查询到20条相似文献,搜索用时 546 毫秒
1.
Matthew Boylan 《Journal of Number Theory》2003,98(2):377-389
Let F(z)=∑n=1∞a(n)qn denote the unique weight 16 normalized cuspidal eigenform on . In the early 1970s, Serre and Swinnerton-Dyer conjectured that
2.
Jian-Lin Li 《Journal of Mathematical Analysis and Applications》2007,332(1):164-170
For the logarithmic coefficients γn of a univalent function f(z)=z+a2z2+?∈S, the well-known de Branges' theorem shows that
3.
4.
M. Obradovi? 《Journal of Mathematical Analysis and Applications》2007,336(2):758-767
Let U(λ) denote the class of all analytic functions f in the unit disk Δ of the form f(z)=z+a2z2+? satisfying the condition
5.
F.M. Al-Oboudi K.A. Al-Amoudi 《Journal of Mathematical Analysis and Applications》2008,339(1):655-667
We introduce classes of analytic functions related to conic domains, using a new linear multiplier fractional differential operator (n∈N0={0,1,…}, 0?α<1, λ?0), which is defined as
D0f(z)=f(z), 相似文献
6.
Rafa? Filipów 《Journal of Mathematical Analysis and Applications》2010,362(1):64-71
We consider ideals I of subsets of the set of natural numbers such that for every conditionally convergent series ∑n∈ωan and every there is a permutation such that ∑n∈ωaπr(n)=r and
7.
Shin-ichiro Mizumoto 《Journal of Number Theory》2004,105(1):134-149
For j=1,…,n let fj(z) and gj(z) be holomorphic modular forms for such that fj(z)gj(z) is a cusp form. We define a series
8.
9.
J. Mc Laughlin 《Journal of Number Theory》2007,127(2):184-219
Let f(x)∈Z[x]. Set f0(x)=x and, for n?1, define fn(x)=f(fn−1(x)). We describe several infinite families of polynomials for which the infinite product
10.
L.D. Abreu F. Marcellan S.B. Yakubovich 《Journal of Mathematical Analysis and Applications》2008,341(2):803-812
Motivated by the G.H. Hardy's 1939 results [G.H. Hardy, Notes on special systems of orthogonal functions II: On functions orthogonal with respect to their own zeros, J. London Math. Soc. 14 (1939) 37-44] on functions orthogonal with respect to their real zeros λn, , we will consider, under the same general conditions imposed by Hardy, functions satisfying an orthogonality with respect to their zeros with Jacobi weights on the interval (0,1), that is, the functions f(z)=zνF(z), ν∈R, where F is entire and
11.
12.
Pieter C. Allaart 《Journal of Mathematical Analysis and Applications》2011,381(2):689-694
Let ?(x)=2inf{|x−n|:n∈Z}, and define for α>0 the function
13.
In this paper we investigate linear three-term recurrence formulae with sequences of integers (T(n))n?0 and (U(n))n?0, which are ultimately periodic modulo m, e.g.
14.
Florian Luca 《Discrete Mathematics》2007,307(13):1672-1678
In this note, we supply the details of the proof of the fact that if a1,…,an+Ω(n) are integers, then there exists a subset M⊂{1,…,n+Ω(n)} of cardinality n such that the equation
15.
In 2001, Borwein, Choi, and Yazdani looked at an extremal property of a class of polynomial with ±1 coefficients. Their key result was:
Theorem.
(See Borwein, Choi, Yazdani, 2001.) Letf(z)=±z±z2±?±zN−1, and ζ a primitive Nth root of unity. If N is an odd positive integer then
16.
17.
This paper gives upper and lower bounds of the Christoffel-type functions , for the m-orthogonal polynomials for a Freud weight W=e-Q, which are given as follows. Let an=an(Q) be the nth Mhaskar–Rahmanov–Saff number, φn(x)=max{n-2/3,1-|x|/an}, and d>0. Assume that QC(R) is even, , and for some A,B>1Then for xRand for |x|an(1+dn-2/3) 相似文献
18.
In this paper we study various fractal geometric aspects of the Minkowski question mark function Q. We show that the unit interval can be written as the union of the three sets , , and . The main result is that the Hausdorff dimensions of these sets are related in the following way:
dimH(νF)<dimH(Λ∼)=dimH(Λ∞)=dimH(L(htop))<dimH(Λ0)=1. 相似文献
19.
Benoit Loridant 《Topology and its Applications》2008,155(7):667-695
Let be a root of the polynomial p(x)=x2+4x+5. It is well known that the pair (p(x),{0,1,2,3,4}) forms a canonical number system, i.e., that each x∈Z[α] admits a finite representation of the shape x=a0+a1α+?+a?α? with ai∈{0,1,2,3,4}. The set T of points with integer part 0 in this number system
20.
R.C. Vaughan 《Journal of Number Theory》2003,100(1):169-183
Let r(n) denote the number of integral ideals of norm n in a cubic extension K of the rationals, and define and Δ(x)=S(x)−αx where α is the residue of the Dedekind zeta function ζ(s,K) at 1. It is shown that the abscissa of convergence of