By A.C. Adolphson,A. Ghosh,J.B. Conrey,R.I. Jager

A convention on Analytic quantity conception and Diophantine difficulties was once held from June 24 to July three, 1984 on the Oklahoma country college in Stillwater. The convention was once funded through the nationwide technology origin, the varsity of Arts and Sciences and the dept of arithmetic at Oklahoma nation college. The papers during this quantity signify just a section of the numerous talks given on the convention. The relevant audio system have been Professors E. Bombieri, P. X. Gallagher, D. Goldfeld, S. Graham, R. Greenberg, H. Halberstam, C. Hooley, H. Iwaniec, D. J. Lewis, D. W. Masser, H. L. Montgomery, A. Selberg, and R. C. Vaughan. of those, Professors Bombieri, Goldfeld, Masser, and Vaughan gave 3 lectures every one, whereas Professor Hooley gave . distinctive classes have been additionally held and such a lot individuals gave talks of at the least twenty mins every one. Prof. P. Sarnak used to be not able to wait yet a paper in keeping with his meant speak is incorporated during this quantity. We take this chance to thank all contributors for his or her (enthusiastic) help for the convention. Judging from the reaction, it was once deemed successful. As for this quantity, I take accountability for any typographical error which may happen within the ultimate print. I additionally express regret for the hold up (which used to be end result of the many difficulties incurred whereas retyping the entire papers). A. distinctive due to Dollee Walker for retyping the papers and to Prof. W. H. Jaco for his help, encouragement and tough paintings in bringing the belief of the convention to fruition.

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