𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a Conjecture Concerning a Theorem of Cramér and Wold

✍ Scribed by Guenther Walther

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
302 KB
Volume
63
Category
Article
ISSN
0047-259X

No coin nor oath required. For personal study only.

✦ Synopsis

A conjecture concerning the Crame r Wold device is answered in the negative by giving a Fourier-free, probabilistic proof using only elementary techniques. It is also shown how a geometric idea allows one to interpret the Crame r Wold device as a special case of a more general concept.

📜 SIMILAR VOLUMES

A Conjecture Concerning the Spectrum of
A Conjecture Concerning the Spectrum of a Sentence
✍ Christopher J. Ash 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 268 KB

## Abstract We give a plausible‐sounding conjecture involving the number of __n__‐equivalence classes of structures of size __m__ which would imply that the complement of a spectrum is also a spectrum. Mathematics Subject Classification: 03B10, 03D15, 68Q15.

On a conjecture of Thomassen concerning
On a conjecture of Thomassen concerning subgraphs of large girth
✍ Domingos Dellamonica Jr; Václav Koubek; Daniel M. Martin; Vojtěch Rödl 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

In 1983 C. Thomassen conjectured that for every k, g ∈ N there exists d such that any graph with average degree at least d contains a subgraph with average degree at least k and girth at least g. Kühn and Osthus [2004] proved the case g = 6. We give another proof for the case g = 6 which is based

On a Conjecture Concerning Monotonicity
On a Conjecture Concerning Monotonicity of Zeros of Ultraspherical Polynomials
✍ Dimitar K. Dimitrov 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 235 KB

Let C \* n , n=0, 1, ..., \*>&1Â2 be the ultraspherical (Gegenbauer) polynomials, orthogonal on (&1, 1) with respect to the weight (1&x 2 ) \*&1Â2 . Denote by `n, k (\*), k=1, ..., [nÂ2] the positive zeros of C \* n enumerated in decreasing order. The problem of finding the ``extremal'' function f f

On a Conjecture of Lovász Concerning Bri
On a Conjecture of Lovász Concerning Bricks: II. Bricks of Finite Characteristic
✍ Marcelo H. de Carvalho; Cláudio L. Lucchesi; U.S.R. Murty 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 271 KB

we established the validity of the main theorem (1.1) for solid bricks. Here, we establish the existence of suitable separating cuts in nonsolid bricks and prove the theorem by applying induction to cut-contractions with respect to such cuts.