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Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory
Multiple Dirichlet series are Dirichlet series in several complex variables. A multiple Dirichlet series is said to be perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere. The earliest examples came from Mellin transforms of metaplectic Eisenstein series and have been intensively studied over the last twenty years. More recently, many other examples have been discovered and it appears that all the classical theorems on moments of $L$-functions as well as the conjectures (such as those predicted by random matrix theory) can now be obtained via the theory of multiple Dirichlet series. Furthermore, new results, not obtainable by other methods, are just coming to light. This volume offers an account of some of the major research to date and the opportunities for the future. It includes an exposition of the main results in the theory of multiple Dirichlet series, and papers on moments of zeta- and $L$-functions, on new examples of multiple Dirichlet
Eisenstein Series and Applications
Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas which do not usually interact with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The central theme of the exposition focuses on the common structural properties of Eisenstein series occurring in many related applications.
Mathematical Reviews
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Weyl Group Multiple Dirichlet Series
Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. By contrast, these Weyl group multiple Dirichlet series may be functions of several complex variables and their groups of functional equations may be arbitrary finite Weyl groups. Furthermore, their coefficients are multiplicative up to roots of unity, generalizing the notion of Euler products. This book proves foundational results about these series and develops their combinatorics. These interesting functions may be described as Whittaker coefficien...
Policy Stability and Economic Growth – Lessons from the Great Recession
John Taylor is one of the foremost economists of our generation. His ideas were implemented in central banks across the world during the period of price stability, economic growth and financial stability that followed the 1980s. Of course, this period culminated in the financial crisis of 2008, which was followed by a very slow recovery, which, eight years on, can hardly be said to be complete. This short book presents Taylor’s view of the financial crisis and its aftermath as expressed in the 2014 F. A. Hayek Memorial Lecture. He believes that the rules-based monetary policy that he espoused broke down in the run-up to the crisis and afterwards. Furthermore, other aspects of policy became...
Pioneering Women in American Mathematics
"This book is the result of a study in which the authors identified all of the American women who earned PhD's in mathematics before 1940, and collected extensive biographical and bibliographical information about each of them. By reconstructing as complete a picture as possible of this group of women, Green and LaDuke reveal insights into the larger scientific and cultural communities in which they lived and worked." "The book contains an extended introductory essay, as well as biographical entries for each of the 228 women in the study. The authors examine family backgrounds, education, careers, and other professional activities. They show that there were many more women earning PhD's in mathematics before 1940 than is commonly thought." "The material will be of interest to researchers, teachers, and students in mathematics, history of mathematics, history of science, women's studies, and sociology."--BOOK JACKET.
Bark and Wood Boring Insects in Living Trees in Europe, a Synthesis
For the first time, a synthesis on the research work done in Europe on all Bark And Wood Boring Insects In Living Trees (BAWBILT) is presented. As final product of a four-year research project gathering together 100 scientists from 24 countries, the book is the fruit of a real collective synthesis in which all European specialists have participated. It reviews and comments on all the European literature, while considering the biological (trees, insects, associated organisms, and their relationships) and forest management aspects. However, although focused on the European forest, it also compares the available information and interpretations to those concerning similar species in other continents. It ends with propositions of research priorities for Europe. The book is directed to all scientists and students concerned with forest entomology and ecology, as well as to forest managers and all scientific public interested in forest biology.
AI and Financial Markets
Artificial intelligence (AI) is regarded as the science and technology for producing an intelligent machine, particularly, an intelligent computer program. Machine learning is an approach to realizing AI comprising a collection of statistical algorithms, of which deep learning is one such example. Due to the rapid development of computer technology, AI has been actively explored for a variety of academic and practical purposes in the context of financial markets. This book focuses on the broad topic of “AI and Financial Markets”, and includes novel research associated with this topic. The book includes contributions on the application of machine learning, agent-based artificial market simulation, and other related skills to the analysis of various aspects of financial markets.
Timelines of Nearly Everything
This book takes readers back and forth through time and makes the past accessible to all families, students and the general reader and is an unprecedented collection of a list of events in chronological order and a wealth of informative knowledge about the rise and fall of empires, major scientific breakthroughs, groundbreaking inventions, and monumental moments about everything that has ever happened.
