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Number theory --- 511 --- Number theory. --- 511 Number theory --- Theorie des nombres --- Theorie multiplicative

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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.

Mathematics. --- Algebraic geometry. --- Harmonic analysis. --- Difference equations. --- Functional equations. --- Dynamics. --- Ergodic theory. --- Functions of complex variables. --- Number theory. --- Number Theory. --- Algebraic Geometry. --- Functions of a Complex Variable. --- Dynamical Systems and Ergodic Theory. --- Difference and Functional Equations. --- Abstract Harmonic Analysis. --- Complex variables --- Ergodic transformations --- Dynamical systems --- Kinetics --- Equations, Functional --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Algebraic geometry --- Math --- Number study --- Numbers, Theory of --- Riemann hypothesis. --- Riemann's hypothesis --- Numbers, Prime --- Geometry, algebraic. --- Differentiable dynamical systems. --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Functional analysis --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Elliptic functions --- Functions of real variables --- Geometry --- Algebra --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics