\BOOKMARK [1][-]{section.1}{Introduction and main result}{}% 1 \BOOKMARK [1][-]{section.2}{Notation}{}% 2 \BOOKMARK [1][-]{section.3}{The Dirichlet series of q}{}% 3 \BOOKMARK [1][-]{section.4}{Proof of Theorem 1}{}% 4 \BOOKMARK [2][-]{subsection.4.1}{The case q 1 \(mod 8\)}{section.4}% 5 \BOOKMARK [2][-]{subsection.4.2}{The case q 11 \(mod 24\)}{section.4}% 6 \BOOKMARK [2][-]{subsection.4.3}{The case q 5 \(mod 24\)}{section.4}% 7 \BOOKMARK [1][-]{section.5}{A short interval result for the case q=5}{}% 8 \BOOKMARK [2][-]{subsection.5.1}{Introduction}{section.5}% 9 \BOOKMARK [2][-]{subsection.5.2}{Tools from the theory}{section.5}% 10 \BOOKMARK [2][-]{subsection.5.3}{The main result}{section.5}% 11 \BOOKMARK [1][-]{section.6}{Acknowledgments}{}% 12