TY  - BOOK
AU  - Montgomery,Hugh
AU  - Nikeghbali,Ashkan
AU  - Rassias,Michael Th
ED  - SpringerLink (Online service)
TI  - Exploring the Riemann Zeta Function: 190 years from Riemann's Birth 
SN  - 9783319599694
AV  - QA241-247.5 
U1  - 512.7 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Number theory
KW  - Geometry, algebraic
KW  - Functions of complex variables
KW  - Differentiable dynamical systems
KW  - Functional equations
KW  - Harmonic analysis
KW  - Number Theory
KW  - Algebraic Geometry
KW  - Functions of a Complex Variable
KW  - Dynamical Systems and Ergodic Theory
KW  - Difference and Functional Equations
KW  - Abstract Harmonic Analysis
N1  - Preface (Dyson) -- 1. An introduction to Riemann's life, his mathematics, and his work on the zeta function (R. Baker) -- 2. Ramanujan's formula for zeta (2n+1) (B.C. Berndt, A. Straub) -- 3. Towards a fractal cohomology: Spectra of Polya-Hilbert operators, regularized determinants, and Riemann zeros (T. Cobler, M.L. Lapidus) -- The Temptation of the Exceptional Characters (J.B. Friedlander, H. Iwaniec) -- 4. The Temptation of the Exceptional Characters (J.B. Friedlander, H. Iwaniec) -- 5. Arthur's truncated Eisenstein series for SL(2,Z) and the Riemann Zeta Function, A Survey (D. Goldfield) -- 6. On a Cubic moment of Hardy's function with a shift (A. Ivic) -- 7. Some analogues of pair correlation of Zeta Zeros (Y. Karabulut, C.Y. Yıldırım) -- 8. Bagchi's Theorem for families of automorphic forms (E. Kowalski) -- 9. The Liouville function and the Riemann hypothesis (M.J. Mossinghoff, T.S. Trudgian) -- 10. Explorations in the theory of partition zeta functions (K. Ono, L. Rolen, R. Schneider) -- 11. Reading Riemann (S.J. Patterson) -- 12. A Taniyama product for the Riemann zeta function (D.E. Rohrlichłł)
N2  - This book is concerned with the Riemann Zeta Function, its generalizations, and various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis and Probability Theory. Eminent experts in the field illustrate both old and new results towards the solution of long-standing problems and include key historical remarks. Offering a unified, self-contained treatment of broad and deep areas of research, this book will be an excellent tool for researchers and graduate students working in Mathematics, Mathematical Physics, Engineering and Cryptography
UR  - https://doi.org/10.1007/978-3-319-59969-4
ER  -