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Extremal Sequences for Some Weighted Zero-Sum Constants for Cyclic Groups

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Combinatorial and Additive Number Theory IV (CANT 2020)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 347))

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Abstract

A particular weighted generalization of some classical zero-sum constants became popular and some applications of this weighted generalization have also been found. After some introductory remarks, we here take up some questions regarding inverse problems related to the values of a weighted zero-sum constant for some particular weights for a finite cyclic group.

Dedicated to Prof. Melvyn B. Nathanson on the occasion of his 75th birthday.

(Formerly at Harish-Chandra Research Institute)

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Acknowledgements

The first author would like to acknowledge a fellowship (under MATRICS) from SERB, Department of Science & Technology, Govt. of India, and the second author would like to acknowledge CSIR, Govt. of India, for a research fellowship.

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Authors and Affiliations

  1. Department of Mathematics, Ramakrishna Mission Vivekananda Educational and Research Institute, Belur, 711202, India

    S. D. Adhikari, Md Ibrahim Molla & Shameek Paul

Authors
  1. S. D. Adhikari
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  2. Md Ibrahim Molla
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  3. Shameek Paul
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Corresponding author

Correspondence to S. D. Adhikari .

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Editors and Affiliations

  1. Department of Mathematics, Lehman College (CUNY), Bronx, NY, USA

    Melvyn B. Nathanson

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Adhikari, S.D., Molla, M.I., Paul, S. (2021). Extremal Sequences for Some Weighted Zero-Sum Constants for Cyclic Groups. In: Nathanson, M.B. (eds) Combinatorial and Additive Number Theory IV. CANT 2020. Springer Proceedings in Mathematics & Statistics, vol 347. Springer, Cham. https://doi.org/10.1007/978-3-030-67996-5_1

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