Alan Baker: una obra transcendente.
Sobre el número de clases y las raíces primitivas.
The integer Chebyshev constant of Farey intervals.
We obtain new bounds for the integer Chebyshev constant of intervals [p/q, r/s] where p, q, r and s are non-negative integers such that qr - ps = 1. As a consequence of the methods used, we improve the known lower bound for the trace of totally positive algebraic integers.
[Proceedings of the
High rank eliptic curves of the form y = x + Bx.
Seven elliptic curves of the form y = x + B x and having rank at least 8 are presented. To find them we use the double descent method of Tate. In particular we prove that the curve with B = 14752493461692 has rank exactly 8.
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