63 citations · 160 across the 34 of their papers we have counts for
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math.NT2004
On two exponents of approximation related to a real number and its square
Damien Roy
For any irrational real number xi, let lambda(xi) denote the supremum of all real numbers lambda such that, for each sufficiently large X, the inequalities |x_0| < X, |x_0*xi-x_1|…
math.NT2004
On the continued fraction expansion of a class of numbers
Damien Roy
We look at a class of transcendental real numbers xi which, together with their square, satisfy some extremal property of simultaneous approximation by rational numbers with the sa…
math.NT2004★ 4 cited
Simultaneous approximation by conjugate algebraic numbers in fields of transcendence degree one
Damien Roy
We present a general result of simultaneous approximation to several transcendental real, complex or p-adic numbers xi_1,...,xi_t by conjugate algebraic numbers of bounded degree o…