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This volume is based on the successful 6th ChinaOCoJapan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory OCo additive problems, divisor problems, Diophantine equations OCo to elliptic curves and automorphic L-functions. It contains new developments in number theory and the topics complement the existing two volumes from the previous seminars which can be found in the same book series.
This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in some way or other dependent on the functional equation. The proofs rest on finite fields, representation theory of nilpotent groups, reciprocity law for the Dedekind sums, and the translation formula for the theta-series, respectively. Likewise, for example, the Euler function is treated in several different places.One of the important principles of learning is to work with the material many times. This book presents many worked-out examples and exercises to enhance the reader's comprehension on the topics covered in an in-depth manner. This is done in a different setting each time such that the reader will always be challenged. For the keen reader, even browsing the text alone, without solving the exercises, will yield some knowledge and enjoyment.
This book is devoted to a wide range of problems concerning applications of nanomaterials and nanodevices as effective solutions to modern ecological problems. Leading experts in nanoscience and nanotechnology present the key theoretical, experimental and implementation issues related to the creation and utilization of novel nanoscale devices to help ensure ecological security. The authors discuss appropriate nanotechnologies for minimizing various types of risk: to human life, technogenic risk, or indeed terrorist threats. Particular emphasis is placed on defining and studying the required materials properties, and – in the field – on nanoscale devices for sensors and monitoring.
Sugars and Sweeteners is a comprehensive volume examining the supposed role of sugar as a causative agent in hyperactivity, coronary artery disease, diabetes, dental caries, and other afflictions, as well as the chemistry of sugar and the metabolism of simple sugars, disaccharides, and sugar alcohols. It also explores the history of sugar in several areas worldwide, including Europe and southeast Asia. Regulations for sugar substitutes are presented, in addition to the metabolism of sugar substitutes in humans. Food scientists, dieticians, and diabetologists will find plenty of useful information in this book.
“Number Theory and Related Fields” collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia. The purpose of the conference was to promote number theory research in Australia while commemorating the legacy of Alf van der Poorten, who had written over 170 papers on the topic of number theory and collaborated with dozens of researchers. The research articles and surveys presented in this book were written by some of the most distinguished mathematicians in the field of number theory, and articles will include related topics that focus on the various research interests of Dr. van der Poorten.
This volume provides a comprehensive and up-to-date overview of the various aspects of Lassa virus (LASV), the causative agent of Lassa fever, a frequently fatal zoonotic disease endemic to West Africa. Compiled by world-leading experts in the field, this book provides an introduction to the 50-year history of Lassa fever research, the genetic diversity of LASV, and its geographic distribution. Subsequent chapters focus on the ecology and epidemiology of LASV, discussing in-depth the interactions of the virus with its hosts - multimammate mice and other rodents - and the interactions between these animal reservoirs and humans. The book also details the many advances in understanding the stru...
This book arises out of a workshop on lead exposure and child development which was held at the University of Edinburgh on 8th-12th September 1986. It was organized jointly by the Commission of the European Communities (CEC) and the US Environmental Protection Agency (EPA), in association with the UK Department of the Environment and the Scottish Home and Health Department. It brought together most of the internationally recognized groups working on the effects of lead exposure on child development including child psychologists, psychiatrists, neurologists, epidemiologists, toxicologists, stati sticians, and medical practitioners. One of the unique features of the meeting was that it include...
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The seminal text Plant Virology is now in its fifth edition. It has been 10 years since the publication of the fourth edition, during which there has been an explosion of conceptual and factual advances. The fifth edition of Plant Virology updates and revises many details of the previous edition while retaining the important earlier results that constitute the field's conceptual foundation. Revamped art, along with fully updated references and increased focus on molecular biology, transgenic resistance, aphid transmission, and new, cutting-edge topics, bring the volume up to date and maintain its value as an essential reference for researchers and students in the field. - Thumbnail sketches of each genera and family groups - Genome maps of all genera for which they are known - Genetic engineered resistance strategies for virus disease control - Latest understanding of virus interactions with plants, including gene silencing - Interactions between viruses and insect, fungal, and nematode vectors - Contains over 300 full-color illustrations
This book deals with classical questions of Algebraic Number Theory concerning the interplay between units, ideal class groups, and ramification for relative extensions of number fields. It includes a large collection of fundamental classical examples, dealing in particular with relative quadratic extensions as well as relative cyclic extensions of odd prime degree. The unified approach is exclusively algebraic in nature.