A Conjecture of Zhi-Wei Sun on Determinants Over Finite Fields

Bulletin of the Malaysian Mathematical Sciences Society - Tập 45 Số 5 - Trang 2405-2412 - 2022
Hai-Liang Wu1, Yue-Feng She2, He-Xia Ni3
1School of Science, Nanjing University of Posts and Telecommunications, Nanjing, People’s Republic of China
2Department of Mathematics, Nanjing University, Nanjing, People’s Republic of China
3Department of Applied Mathematics, Nanjing Audit University, Nanjing, People’s Republic of China

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Tài liệu tham khảo

Carlitz, L.: Some cyclotomic matrices. Acta Arith. 5, 293–308 (1959)

Chapman, R.: Determinants of Legendre symbol matrices. Acta Arith. 115, 231–244 (2004)

Chapman, R.: My evil determinant problem, preprint, December 12, 2012. Available from http://empslocal.ex.ac.uk/people/staff/rjchapma/etc/evildet.pdf

Krattenthaler, C.: Advanced determinant calculus: a complement. Linear Algebra Appl. 411, 68–166 (2005)

Lerch, M.: Sur un théorème arithmétique de Zolotarev. Bull. Intern. de l’Acad. François Joseph 3, 34–37 (1896)

Sun, Z.-W.: On some determinants with legendre symbol entries. Finite Fields Appl. 56, 285–307 (2019)

Vsemirnov, M.: On the evaluation of R Chapman’s, evil determinant. Linear Algebra Appl. 436, 4101–4106 (2012)

Vsemirnov, M.: On R. Chapman’s, evil determinant: case $$ p \equiv 1 ~(mod \; 4)$$. Acta Arith. 159, 331–344 (2013)

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Bulletin of the Malaysian Mathematical Sciences Society

Tập 45 Số 5

2405-2412

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