Let \(a_{1}, \ldots, a_{k}\) be a sequence of elements in an Abelian group of order \(n\) (repetition allowed). In this paper, we give two sufficient conditions such that an element \(g \in G\) can be written in the form \(g=a_{i_{1}}+a_{i_{2}}+\cdots+a_{i_{n}}, 1 \leqslant i_{1}<i_{2}<\cdots<i_{n}
✦ LIBER ✦
Finite addition theorems, I
✍ Scribed by A. Sárközy
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 589 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Addition Theorems for Finite Abelian Gro
✍
W.D. Gao
📂
Article
📅
1995
🏛
Elsevier Science
🌐
English
⚖ 202 KB
An addition theorem for finite semigroup
✍
D. W. H. Gillam; T. E. Hall; N. H. Williams
📂
Article
📅
1975
🏛
Springer
🌐
English
⚖ 144 KB
Addition theorems in elementary Abelian
✍
Chuang Peng
📂
Article
📅
1987
🏛
Elsevier Science
🌐
English
⚖ 362 KB
An addition theorem for finite Abelian g
✍
John E. Olson
📂
Article
📅
1977
🏛
Elsevier Science
🌐
English
⚖ 416 KB
Algebraic addition theorems
✍
Stephen A Andrea
📂
Article
📅
1974
🏛
Elsevier Science
🌐
English
⚖ 585 KB
It is a classical result in elliptic function theory that for every elliptic function there is an algebraic addition theorem. In this note we wish to show that such results really depend only on the fact that one is dealing with analytic functions which are finite-to-one in a certain strong sense.
Addition theorems on Zn
✍
Li Fuzhong; Weidong Gao
📂
Article
📅
1995
🏛
Elsevier Science
🌐
English
⚖ 165 KB
Let Z. be the cyclic group of order n. For a sequence S of elements in Z., we usef(S) to denote the number of subsequences of S that the sum of whose terms is zero. In this paper, we determine all sequences S of elements in Z. for which ~<f(S)/[Sl-<l