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Contributions to zero-sum problems |
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| Authors: | SD Adhikari |
| Institution: | a Harish-Chandra Research Institute, (Former Mehta Research Institute) Chhatnag Road, Jhusi, Allahabad 211 019, India b Department of Mathematics, Nanjing Normal University, Nanjing 210097, PR China c Department of Mathematics, University of Toronto, ON, Canada M5S 3G3 d Department of Mechanics and Mathematics, Moscow State University, Vorobjovy Gory, 119992 Moscow, Russia e Dipartimento di Matematica, Università degli Studi Roma Tre, Largo S. L. Murialdo, 1, I-00146 Roma, Italia |
| Abstract: | A prototype of zero-sum theorems, the well-known theorem of Erd?s, Ginzburg and Ziv says that for any positive integer n, any sequence a1,a2,…,a2n-1 of 2n-1 integers has a subsequence of n elements whose sum is 0 modulo n. Appropriate generalizations of the question, especially that for (Z/pZ)d, generated a lot of research and still have challenging open questions. Here we propose a new generalization of the Erd?s-Ginzburg-Ziv theorem and prove it in some basic cases. |
| Keywords: | Zero-sum problems |
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