M. Vsemirnov

activity

20062019

most citedOn R. Chapman's "evil determinant": case p=1 (mod 4)

1 citations · 1 across the 4 of their papers we have counts for

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math.NT2019

Optimal bounds for Büchi's problem in modular arithmetic II

Pablo Sáez, Xavier Vidaux, Maxim Vsemirnov

Given a prime $p \geq 5$ and an integer $s \geq 1$ , we show that there exists an integer $M$ such that for any quadratic polynomial $f$ with coefficients in the ring of integers modulo $…

math.NT2018

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 $n \equiv 3 (mod 4)$ , we show that $$(6,1)_n=[6,1]_n=(3,…

math.NT2011★ 1 cited

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.