On the Glasner property for matrices with polynomial entries
Igor E. Shparlinski
TL;DR
This paper improves bounds on the Glasner property for matrices with polynomial entries by analyzing rational exponential sums, potentially impacting related mathematical questions.
Contribution
It provides a new, sharper bound for the uniform Glasner property for polynomial matrices, based on detailed analysis of exponential sums.
Findings
Improved bound on the Glasner property for polynomial matrices
Enhanced understanding of rational exponential sums with polynomials
Potential applications to similar mathematical problems
Abstract
We obtain a new bound in the uniform version of the Glasner property for matrices with polynomial entries, improving that of K. Bulinski and A. Fish (2021). This improvement is based on a more careful examination of complete rational exponential sums with polynomials and can perhaps be used in other questions of the similar spirit.
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Taxonomy
Topicsgraph theory and CDMA systems · Matrix Theory and Algorithms · Digital Image Processing Techniques