Statistics of ranks, determinants and characteristic polynomials of rational matrices
Autor: | Afifurrahman, Muhammad, Kuperberg, Vivian, Ostafe, Alina, Shparlinski, Igor E. |
---|---|
Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We consider the set of $n\times n$ matrices with rational entries having numerator and denominator of size at most $H$ and obtain upper and lower bounds on the number of such matrices of a given rank and then apply them to count such matrices with a given determinant, or a given characteristic polynomial. |
Databáze: | arXiv |
Externí odkaz: |