Montgomery H., Nikeghbali A., Rassias M.T. (Eds.) Exploring the Riemann Zeta Function: 190 years from Riemann's Birth

Springer International Publishing AG, 2017. — 300 p. — ISBN: 3319599682.Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.
The book focuses on both old and new results towards the solution of long-standing problems as well as it features some key historical remarks. The purpose of this volume is to present in a unified way broad and deep areas of research in a self-contained manner. It will be particularly useful for graduate courses and seminars as well as it will make an excellent reference tool for graduate students and researchers in Mathematics, Mathematical Physics, Engineering and Cryptography.Preface by Freeman J. Dyson: Quasi-Crystals and the Riemann Hypothesis
An Introduction to Riemann’s Life, His Mathematics, and His Work on the Zeta Function
Ramanujan’s Formula for (2n C 1)
Towards a Fractal Cohomology: Spectra of Polya–Hilbert Operators, Regularized Determinants and Riemann Zeros
The Temptation of the Exceptional Characters
Arthur’s Truncated Eisenstein Series for SL(2, Z) and the Riemann Zeta Function: A Survey
On a Cubic Moment of Hardy’s Function with a Shift
Some Analogues of Pair Correlation of Zeta Zeros
Bagchi’s Theorem for Families of Automorphic Forms
The Liouville Function and the Riemann Hypothesis
Explorations in the Theory of Partition Zeta Functions
Reading Riemann
A Taniyama Product for the Riemann Zeta Function