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Siegel Modular Forms
This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating the interconnections shared by the two, this book fills an important gap in the existing literature on modular forms. It begins by establishing the basics of the classical theory of Siegel modular forms, and then details more advanced topics. After this, much of the basic local representation theory is presented. Exercises are featured heavily throughout the volume, the solutions of which are helpfully provided in an appendix. Other topics considered include Hecke theory, Fourier coefficients, cuspidal automorphic representations, Bessel models, and integral representation. Graduate students and young researchers will find this volume particularly useful. It will also appeal to researchers in the area as a reference volume. Some knowledge of GL(2) theory is recommended, but there are a number of appendices included if the reader is not already familiar.
Elements of the Representation Theory of the Jacobi Group
Combining algebraic groups and number theory, this volume gathers material from the representation theory of this group for the first time, doing so for both local (Archimedean and non-Archimedean) cases as well as for the global number field case.
Transfer of Siegel Cusp Forms of Degree 2
Let be the automorphic representation of generated by a full level cuspidal Siegel eigenform that is not a Saito-Kurokawa lift, and be an arbitrary cuspidal, automorphic representation of . Using Furusawa's integral representation for combined with a pullback formula involving the unitary group , the authors prove that the -functions are "nice". The converse theorem of Cogdell and Piatetski-Shapiro then implies that such representations have a functorial lifting to a cuspidal representation of . Combined with the exterior-square lifting of Kim, this also leads to a functorial lifting of to a cuspidal representation of . As an application, the authors obtain analytic properties of various -functions related to full level Siegel cusp forms. They also obtain special value results for and
Peptides: The Wave of the Future
This volume contains the proceedings of the Second International Peptide Symposium and the Seventeenth American Peptide Symposium, held on 9-14 June, 2001, at the Town and Country Resort in San Diego, California. The biennial meeting was held under the auspices of the American Peptide Society. In addition to the main Symposium, we were honored to have the Merrifield Satellite Symposium, honoring Bruce Merrifield's accomplishments on his 80th birthday. Over 1250 participants from around the world attended the lectures, posters, and exhibits. Reflecting the international nature of the Symposium, there were participants from 37 countries in attendance. In addition to the 75 plenary lectures, there were over 575 poster presentations, and 70 commercial exhibits as well as booths from the American, Australian, Chinese, European, and Japanese Peptide Societies. These proceedings include plenary lectures and oral and poster presentations collected from a wide diversity of topics providing a truly comprehensive and up-to-date overview of the field of peptide science. This publication contains essential reference information for researchers active in peptide science.
Nanopackaging
This book presents a comprehensive overview of nanoscale electronics and systems packaging, and covers nanoscale structures, nanoelectronics packaging, nanowire applications in packaging, and offers a roadmap for future trends. Composite materials are studied for high-k dielectrics, resistors and inductors, electrically conductive adhesives, conductive "inks," underfill fillers, and solder enhancement. The book is intended for industrial and academic researchers, industrial electronics packaging engineers who need to keep abreast of progress in their field, and others with interests in nanotechnology. It surveys the application of nanotechnologies to electronics packaging, as represented by current research across the field.
LuCaNT: LMFDB, Computation, and Number Theory
This book will be published Open Access with a Creative Commons Attribution 4.0 International License (CC BY 4.0). The eBook can be downloaded electronically for free. This volume contains the proceedings of the LuCaNT (LMFDB, Computation, and Number Theory) conference held from July 10–14, 2023, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island and affiliated with Brown University. This conference provided an opportunity for researchers, scholars, and practitioners to exchange ideas, share advances, and collaborate in the fields of computation, mathematical databases, number theory, and arithmetic geometry. The papers that appear in this volume record recent advances in these areas, with special focus on the LMFDB (the L-Functions and Modular Forms Database), an online resource for mathematical objects arising in the Langlands program and the connections between them.
Mensch und Computer 2015 – Workshopband
The Workshop Volume from the Humans and Computers Conference documents the advanced tutorials that were presented to deepen the understanding gained from the conference lectures. It presents case studies along with accompanying exercises.
Reflections on Religious Individuality
This volume will concentrate its search for religious individuality on texts and practices related to texts from Classical Greece to Late Antiquity. Texts offer opportunities to express one’s own religious experience and shape one’s own religious personality within the boundaries of what is acceptable. Inscriptions in public or at least easily accessible spaces might substantially differ in there range of expressions and topics from letters within a sectarian religious group (which, at the same time, might put enormous pressure on conformity among its members, regarded as deviant by a majority of contemporaries). Furthermore, texts might offer and advocate new practices in reading, medit...
