1 citations · 1 across the 4 of their papers we have counts for
5 papers
Optimal bounds for Büchi's problem in modular arithmetic II
Pablo Sáez, Xavier Vidaux, Maxim Vsemirnov
Given a prime and an integer , we show that there exists an integer such that for any quadratic polynomial with coefficients in the ring of integers modulo $…
On some determinants involving Jacobi symbols
Dmitry Krachun, Fedor Petrov, Zhi-Wei Sun +1
In this paper we study some conjectures on determinants with Jacobi symbol entries posed by Z.-W. Sun. For any positive integer , we show that $$(6,1)_n=[6,1]_n=(3,…
On R. Chapman's "evil determinant": case p=1 (mod 4)
Maxim Vsemirnov
For p=1 (mod 4), we prove the formula (conjectured by R. Chapman) for the determinant of the matrix C with C(i,j)=LegendreSymbol(j-i,p), i,j=0,...,(p-1)/2.
Uniform (2,k)-generation of the 4-dimensional classical groups
M. A. Pellegrini, M. C. Tamburini Bellani, M. A. Vsemirnov
In this paper we study the (2,k)-generation of the finite classical groups SL(4,q), Sp(4,q), SU(4,q^2) and their projective images. Here k is the order of an arbitrary element of S…
On the additive theory of prime numbers II
Patrick Cegielski, Denis Richard, Maxim Vsemirnov
The undecidability of the additive theory of primes (with identity) as well as the theory Th(N,+, n -> p\_n), where p\_n denotes the (n+1)-th prime, are open questions. As a possib…