搜索结果: 1-15 共查到“应用数学 1/3-2/3 Conjecture”相关记录20条 . 查询时间(0.078 秒)
2018 Workshop on New Methods for Zimmer’s Conjecture
2018 Workshop New Methods for Zimmer’s Conjecture
font style='font-size:12px;'>
2017/12/20
The purpose of this workshop is to bring focused attention on a recent breakthrough by Brown, Fisher and ZIM2018_imageHurtado on Zimmer’s Conjecture. The conjecture concerns low dimensional actions of...
THE NOETHER-LEFSCHETZ CONJECTURE AND GENERALIZATIONS
NOETHER-LEFSCHETZ GENERALIZATIONS
font style='font-size:12px;'>
2015/10/14
We prove the Noether-Lefschetz conjecture on the moduli space of quasi-polarized K3 surfaces. This is deduced as a particular case of a general theorem that states that low degree cohomology classes o...
STRONG SHIFT EQUIVALENCE AND THE GENERALIZED SPECTRAL CONJECTURE FOR NONNEGATIVE MATRICES
STRONG SHIFT EQUIVALENCE GENERALIZED SPECTRAL CONJECTURE NONNEGATIVE MATRICES
font style='font-size:12px;'>
2015/9/29
Given matrices A and B shift equivalent over a dense subring R of R,with A primitive, we show that B is strong shift equivalent over R to a primitive matrix. This result shows that the weak form of th...
THRESHOLD STATE AND A CONJECTURE OF POGHOSYAN,POGHOSYAN,PRIEZZHEV AND RUELLE
THRESHOLD STATE POGHOSYAN POGHOSYAN PRIEZZHEV RUELLE
font style='font-size:12px;'>
2015/8/14
We prove a precise relationship between the threshold state of the fixed-energy sandpile and the stationary state of Dhar’s abelian sandpile: In the limit as the initial condition s0 tends to W22;∞...
Proof of a Conjecture of Hirschhorn and Sellers on Overpartitions
overpartition congruence theta function dissection formula (p k)-parametrization
font style='font-size:12px;'>
2014/6/3
Let (n) denote the number of overpartitions of n. It was conjectured by Hirschhorn and Sellers that (40n + 35) ≡ 0 (mod 40) for n ≥ 0. Employing 2-dissection formulas of theta functions due to Ramanuj...
Proof of Moll's Minimum Conjecture
ratio monotonicity log-concavity Boros-Moll polynomials
font style='font-size:12px;'>
2014/6/3
Let di(m) denote the coefficients of the Boros-Moll polynomials. Moll's minimum conjecture states that the sequence {i(i+1)(di2(m)-di-1(m)di+1(m))}1≤ i≤ m attains its minimum at i = m with 2-2mm(m+1)....
Proof of a Positivity Conjecture on Schur Functions
symmetric function Schur function multiplier sequence totally positive sequence
font style='font-size:12px;'>
2014/6/3
In the study of Zeilberger's conjecture on an integer sequence related to the Catalan numbers, Lassalle proposed the following conjecture. Let (t)n denote the rising factorial, and let ΛR denote the a...
Even Galois Representations and the Fontaine--Mazur conjecture II
Even Galois Representations Fontaine--Mazur conjecture II
font style='font-size:12px;'>
2011/2/24
We prove, under mild hypotheses, that there are no irreducible two-dimensional po-tentially semi-stable even p-adic Galois representations of Gal(Q/Q) with distinct Hodge–Tate weights.
Tree homology and a conjecture of Levine
Levine conjecture tree homology homology cylinders Whitney towers
font style='font-size:12px;'>
2011/1/21
In his study of the group of homology cylinders, J. Levine [19] made the con-jecture that a certain homomorphism 0 : T ! D0 is an isomorphism. Here T is an abelian group on labeled oriented trees, an...
On a conjecture for a sixth order overdetermined elliptic boundary value problem
Overdetermined elliptic problems triharmonic operator
font style='font-size:12px;'>
2010/9/20
In this note, we prove the conjecture of Payne and Schaefer [2], regarding an overdetermined boundary value problem for the triharmonic operator, Δ3 = ΔΔΔ. It is deduced that if a solution of the prob...
Notes on the Parity Conjecture
Notes Parity Conjecture
font style='font-size:12px;'>
2010/12/14
The main purpose of these notes is to prove, in a reasonably self-contained way, that finiteness of the Tate-Shafarevich group implies the parity conjecture for elliptic curves over number fields. Alo...
A remark on the Generalized Hodge Conjecture
remark Generalized Hodge Conjecture
font style='font-size:12px;'>
2010/12/13
Let X denote a smooth, projective, connected algebraic variety over C, of dimension n.
L-space surgeries, genus bounds, and the cabling conjecture
font style='font-size:12px;'>
2010/11/30
We prove that if positive integer p-surgery along a knot K S3 produces an L-space and it bounds a sharp 4-manifold, then the knot genus obeys the bound 2g(K) 1 pp 3p + 1:Moreo...
The srank Conjecture on Schur's Q-Functions
srank bar tableau Schur's Q-function power sum symmetric function strip tableau skew bar tableau
font style='font-size:12px;'>
2014/6/3
We show that the shifted rank, or srank, of any partition λ with distinct parts equals the lowest degree of the terms appearing in the expansion of Schur's Qλ function in terms of power sum symmetric ...
A Conjecture on General Means
General means Inflection point Production functions
font style='font-size:12px;'>
2008/7/3
We conjecture that the general mean of two positive numbers, as a function of its order, has one and only one inflection point. No analytic proof seems available due to the extreme complexity of the s...