These proceedings contain the papers presented at the DARF 2008 Conference as well as those papers presented at the DARF 2007 Conference which was held 7 - 9 March 2007 in Yokohama, Japan. The purpose of the conference was to report recent progress and developments of diophantine aspects of analytic number theory, especially focusing upon the topics in diophantine analysis and related fields; its simultaneous objectives are to promote interactions between analytic number theorists and mathematicians from other fields, and further to create opportunities for opening up new individual/collaborative research projects.