On the growth of the number of determinants with restricted entries

DOI10.1134/S0001434621050175zbMath1471.11024arXiv1802.02111OpenAlexW3180971101MaRDI QIDQ2037732

Lavrentin M. Arutyunyan

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.02111

zbMATH Keywords

determinantssum-product phenomenon

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Other combinatorial number theory (11B75) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

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• On volumes determined by subsets of Euclidean space
• Generalized incidence theorems, homogeneous forms and sum-product estimates in finite fields
• On the number of incidences between points and planes in three dimensions
• On the determinants and permanents of matrices with restricted entries over prime fields
• Distribution of matrices with restricted entries over finite fields
• Distribution of determinant of matrices with restricted entries over finite fields
• Sums of powers of subsets of an arbitrary finite field
• On the Permanents of Matrices with Restricted Entries Over Finite Fields
• NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS

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