Biography:Abraham Ziv
Ziv Abraham | |
|---|---|
| Born | March 6, 1940 |
| Died | March 5, 2013 (aged 72) |
| Nationality | Israeli |
| Alma mater | Technion – Israel Institute of Technology and Harvard University |
| Scientific career | |
| Fields | Mathematics |
| Thesis | A contribution to the zero sum theorem (1961) |
Abraham Ziv (March 6, 1940–March 5, 2013 (aged 72)) was an Israeli mathematician, known for his contributions to the Zero-sum problem as one of the discoverers of the Erdős–Ginzburg–Ziv theorem.
Biography
Abraham Zubkowski (later Ziv) was born in Avihayil to Haim and Zila Zubkovski. In the 1950s, he changed his surname in the 1950s as part of the widespread Hebraization of surnames trend. He studied at the Technion – Israel Institute of Technology, where he earned his Ph.D. in mathematics, after receiving his master's degree from Harvard University.
Academic career
In 1961, at the age of 21, Ziv proved along with Paul Erdős and Abraham Ginzburg the general result that every sequence of [math]\displaystyle{ 2n - 1\ }[/math] elements of [math]\displaystyle{ \mathbb{Z}/n\mathbb{Z} }[/math] contains [math]\displaystyle{ n }[/math] terms that sum to zero.[1]
In 1972 Ziv was part of the founding team of IBM R&D Labs in Israel, where he stayed until retirement. In his time at IBM he wrote 21 more publications[2] and 6 patents.[3]
Academic papers
- Paul Erdős; Abraham Ginzburg; Abraham Ziv (1961). Theorem in the additive number theory. renyi.hu. http://www.renyi.hu/~p_erdos/1961-25.pdf. Retrieved 2015-01-12.
References
- ↑ zbMATH - the first resource for mathematics. zbmath.org.
- ↑ "Abraham Ziv". 65.54.113.26. Archived from the original on 2015-01-17. https://archive.today/20150117232456/http://65.54.113.26/Author/2328334/abraham-ziv. Retrieved 2015-01-12.
- ↑ "Patents by Inventor Abraham Ziv - Justia Patents Database". patents.justia.com. http://patents.justia.com/inventor/abraham-ziv. Retrieved 2015-01-12.
External links
- Hazewinkel, Michiel, ed. (2001), "Erdős-Ginzburg-Ziv theorem", Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4, https://www.encyclopediaofmath.org/index.php?title=p/e110100
- PlanetMath Erdős, Ginzburg, Ziv Theorem
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