Главная

Timothy Trudgian

  1. A modest improvement on the function $S(T)$.

    Пнд, 10/25/2010 - 15:01 — SomNambul
    Authors: Timothy Trudgian
    Subjects: Number Theory
    Abstract

    This paper contains a small improvement to the explicit bounds on the growth
    of the function $S(T)$. It is shown how more substantial improvements are
    possible if one has better explicit bounds on the growth of
    $|\zeta(\frac{1}{2}+it)|$.

  2. Improvements to Turing's Method.

    Чт, 12/10/2009 - 16:01 — SomNambul
    Authors: Timothy Trudgian
    Subjects: Number Theory
    Abstract

    This paper refines the argument of Lehman by reducing the size of the
    constants in Turing's method. This improvement is given in Theorem 1 and scope
    for further improvements is also given. Analogous improvements to Dirichlet
    L-functions and Dedekind zeta-functions are also included.

Math-arch

RSS-материал