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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/120/03/0259-0266

    • Keywords

       

      Cauchy–Davenport theorem; Chevalley–Warning theorem, zero-sum problems.

    • Abstract

       

      In this note, we generalize some theorems on zero-sums with weights from [1], [4] and [5] in two directions. In particular, we consider $\mathbb{Z}^d_p$ for a general 𝑑 and subgroups of $Z^∗_p$ as weights.

    • Author Affiliations

       

      S D Adhikari1 A A Ambily2 B Sury2

      1. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, India
      2. Statistics & Mathematics Unit, Indian Statistical Institute, 8th Mile, Mysore Road, Bangalore 560 059, India

    • Dates

       
      Published
      June 2010
      Manuscript received
      20 October 2009
      Manuscript revised
      4 April 2010

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