## Abstract __Ab initio__ calculations are used to test the ability of various representations to reproduce bond energies. It is found that expansion in 1/__R__, where __R__ is the bond length, is remarkably efficient and is consistently better than the usual __R__ expansion. A quadratic form in 1/
On the Parity of Additive Representation Functions
✍ Scribed by J.-L Nicolas; I.Z Ruzsa; A Sárközy
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 334 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0022-314X
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📜 SIMILAR VOLUMES
In this paper we prove some properties of p -additive functions as well as p -additive set -valued functions. We start with some definitions. Definition 2.1. A set C ⊆ X (where X is a vector space) is said to be a convex cone if and only if C + C ⊆ C and t C ⊆ C for all t ∈ (0, ∞). Definition 2.2.
Ka tai himself gave partial solutions. In he proved that &2f (n)&=0(n &1 ) ( 3 ) article no. 0027
Let S q (n) denote the sum of digits of n in base q. For given pairwise coprime bases q 1 , ..., q l and arbitrary residue classes a i mod m i (i=1, ..., l), we obtain an estimate with error term O(N 1&$ ) for the quantity which extends results of J. Be sineau and establishes a conjecture of A. O.