Traces of powers of matrices over finite fields

Ofir Gorodetsky, Brad Rodgers

Type: Article

Publication Date: 2020-12-10

Citations: 3

DOI: https://doi.org/10.1090/tran/8337

View Publication

Locations

arXiv (Cornell University) - View - PDF
Oxford University Research Archive (ORA) (University of Oxford) - View - PDF
DataCite API - View
Transactions of the American Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Traces of powers of random matrices over local fields	2024	Noam Pirani
+ PDF Chat	Moments of traces of random symplectic matrices and hyperelliptic $L$-functions	2024	Alexei Entin Noam Pirani
+	Powers of large random unitary matrices and Toeplitz determinants	2009	Maurice Duits Kurt Johansson
+ PDF Chat	Stein's Method and the Multivariate CLT for Traces of Powers on the Compact Classical Groups	2011	Christian Döbler Michael Stolz
+	Stein's method and the multivariate CLT for traces of powers on the classical compact groups	2010	Christian Döbler Michael Stolz
+	On finite sequences satisfying linear recursions	2001	Noam D. Elkies
+	Joint distribution of inverses in matrix groups over finite fields	2018	Corentin Perret-Gentil
+	Joint distribution of inverses in matrix groups over finite fields	2018	Corentin Perret-Gentil
+	Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor	2023	Ofir Gorodetsky Valeriya Kovaleva
+	Large $q$ convergence of random characteristic polynomials to random permutations and its applications.	2020	Gilyoung Cheong Hayan Nam Myungjun Yu
+	Weight and rank of matrices over finite fields	2004	Theresa Migler Kent E. Morrison Mitchell Ogle
+	Asymptotic Distributions of Traces of Powers of the Submatrices of Real Orthogonal Matrices	2012	Song Ji-ping
+	On the orthogonal symmetry of $L$-functions of a family of Hecke Grössencharacters	2012	J. Brian Conrey N. C. Snaith
+	Matrix Group Integrals, Surfaces, and Mapping Class Groups II: $\mathrm{O}\left(n\right)$ and $\mathrm{Sp}\left(n\right)$	2019	Michael Magee Doron Puder
+ PDF Chat	Distribution of matrices with restricted entries over finite fields	2007	Omran Ahmadi Igor E. Shparlinski
+	The determinant of random power series matrices over finite fields	2000	Khaled Abdel-Ghaffar
+ PDF Chat	Joint distribution of inverses in matrix groups over finite fields	2019	Corentin Perret-Gentil
+	Singularity of Random Matrices over Finite Fields	2010	Kenneth Maples
+	Trace of powers of representations of finite quantum groups	2018	Isabelle Baraquin
+	Trace of powers of representations of finite quantum groups	2018	Isabelle Baraquin

Works That Cite This (3)

Action	Title	Year	Authors
+	Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor	2023	Ofir Gorodetsky Valeriya Kovaleva
+ PDF Chat	On the distribution of equivalence classes of random symmetric <i>p</i>‐adic matrices	2023	Valeriya Kovaleva
+	A note on the distribution of equivalence classes of random symmetric p-adic matrices	2020	Valeriya Kovaleva

Works Cited by This (56)

Action	Title	Year	Authors
+	On the distribution of divisor class groups of curves over a finite field	1989	Eduardo Friedman Lawrence C. Washington
+	The generic irreducibility of the numerator of the zeta function in a family of curves with large monodromy	1997	Nick Chavdarov
+	L functions of some exponential sums of finite classical groups	2003	Hi-joon Chae Dae San Kim
+	The geometry of the classical groups	1992	D. E. Taylor
+	Basic Number Theory	1967	André Weil
+ PDF Chat	On the number of matrices with given characteristic polynomial	1961	Irving Reiner
+ PDF Chat	On the number of nilpotent matrices with coefficients in a finite field	1961	Murray Gerstenhaber
+	Additive Number Theory of Polynomials Over a Finite Field	1991	Gove Effinger David R. Hayes
+ PDF Chat	The distribution of irreducibles in 𝐺𝐹[𝑞,𝑥]	1965	David R. Hayes
+	Unitary Kloosterman Sums and the Gelfand–Graev Representation of GL2	1999	Charles W. Curtis Ken-ichi Shinoda