منابع مشابه
A bound for Feichtinger conjecture
In this paper, using the discrete Fourier transform in the finite-dimensional Hilbert space C^n, a class of nonRieszable equal norm tight frames is introduced and using this class, a bound for Fiechtinger Conjecture is presented. By the Fiechtinger Conjecture that has been proved recently, for given A,C>0 there exists a universal constant delta>0 independent of $n$ such that every C-equal...
متن کاملA lower bound for a constant in Shallit's conjecture
We study the Shallit's conjecture which states that an in nite word ! is ultimately periodic if and only if lim n!1 inf jun(!)j n > 3 p5 2 ; where un(!) is the longest su x of length n pre x of ! which occurs also inside length n 1 pre x of !. We prove that a weaker condition holds, namely that the conjecture is true if the constant 3 p5 2 is replaced by 13 p69 10 . TUCS Research Group Mathemat...
متن کاملLower Bound for the Remainder in the Prime-pair Conjecture
Taking r > 0 let π2r(x) denote the number of prime pairs (p, p+ 2r) with p ≤ x. The prime-pair conjecture of Hardy and Littlewood (1923) asserts that π2r(x) ∼ 2C2r li2(x) with an explicit constant C2r > 0. A heuristic argument indicates that the remainder e2r(x) in this approximation cannot be of lower order than x , where β is the supremum of the real parts of zeta’s zeros. The argument also s...
متن کاملLower Bound Theorems and a Generalized Lower Bound Conjecture for balanced simplicial complexes
A (d − 1)-dimensional simplicial complex is called balanced if its underlying graph admits a proper d-coloring. We show that many well-known face enumeration results have natural balanced analogs (or at least conjectural analogs). Specifically, we prove the balanced analog of the celebrated Lower Bound Theorem for normal pseudomanifolds and characterize the case of equality; we introduce and ch...
متن کاملThe Lower Bound Conjecture for 3- and 4-manifolds
For any closed connected d-manifold M let ](M) denote the set of vectors / (K)= (]0(K) ..... fd(K)), where K ranges over all triangulations of M and ]k(K) denotes the number of k-simplices of K. The principal results of this paper are Theorems 1 through 5 below, which, together with the Dehn-Sommerville equations reviewed in w 2, yield a characterization of ](M) for some of the simpler 3and 4-m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2000
ISSN: 0022-314X
DOI: 10.1006/jnth.1999.2484