L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex...
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This ...
This monograph deals with contributions to certain areas of contemporary cryptography based on recent developments in mathematics and computer science, including: (1) public-key cryptography based on combinatorial group theory, with an introduction to the exciting new area of braid group cryptography; (2) construction of one-way functions and pseudorandom number generators from a very general class of zeta functions, namely the feasible Selberg class. A focused survey of the underlying methods is presented together with careful computational constructions, allowing the reader to pursue...
This monograph deals with contributions to certain areas of contemporary cryptography based on recent developments in mathematics and computer science...
The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of...
The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These e...
Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics. As such, it represents a new way in which areas including number theory, combinatorics, statistical mechanics, and quantum groups are seen to fit together. The volume also includes papers on automorphic forms and L-functions and related number-theoretic topics. This volume will be a valuable...
Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Seri...
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex...
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This ...
