Abraham Ziv

Abraham Ziv ((1940-03-06)March 6, 1940–March 5, 2013(2013-03-05) (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 ${\displaystyle 2n-1\ }$ elements of ${\displaystyle \mathbb {Z} /n\mathbb {Z} }$ contains ${\displaystyle n}$ 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" (PDF). renyi.hu. Retrieved 2015-01-12. Cite journal requires |journal= (help)

References[]

External links[]

• "Erdős-Ginzburg-Ziv theorem", Encyclopedia of Mathematics, EMS Press, 2001 [1994]
• PlanetMath Erdős, Ginzburg, Ziv Theorem