Topics in Analytic Number Theory

Sidney W. Graham is Professor of Mathematics at Central Michigan University. Jeffrey D. Vaaler is Professor of Mathematics at the University of Texas at Austin.

• Preface A New Application of the Sieve to Probabilistic Number Theory (Krishnaswami Alladi) On the Distribution of the Zeros of the Riemann Zeta-Function (J. B. Conrey) Remarks on the Difference of Consecutive Numbers Prime to q (Harold G. Diamond and Jeffrey D. Vaaler) Some Solved and Unsolved Problems of Mine in Number Theory (Paul ErdÖs) Gaps in Certain Sequences (John B. Friedlander) Prime Numbers and the Pair Correlation of Zeros of the Zeta-Function (D. A. Goldston) A Formula of Landau and Mean Values of Ζ(s) (S. M. Gonek) Large Values of the Riemann Zeta-Function (S. W. Graham) On the Zeros (À la Salberg) of Dirichlet Series Attached to Certain Cusp Forms (James Lee Hafner) Lectures on the Linear Sieve (H. Halberstam) Promenade along Modular Forms and Analytic Number Theory (Henryk Iwaniec) The Distribution of r-Free Integers in Arithmetic Progressions (Kevin S. McCurley)