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Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10–15 years, this theory has been extended to certain non-holomorphic functions, the so-called “harmonic Maass forms”. The first glimpses of this theory appeared in Ramanujan's enigmatic last letter to G. H. Hardy written from his deathbed. Ramanujan discovered functions he called “mock theta functions” which over eighty years later were recognized as pieces of harmonic Maass forms. This book contains the essential features of the theory of harmonic Maass forms and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical physics, quantum modular forms, and representation theory.
Small States in World Politics
This book focuses on the state level analysing factors that determine small state survival and proliferation. It demonstrates theoretically, quantitatively, and historically that small state survival depends first-and-foremost on the structure and particular features of the states system in which the small state finds itself.
Algebraic and Arithmetic Theory of Quadratic Forms
This proceedings volume contains papers presented at the International Conference on the algebraic and arithmetic theory of quadratic forms held in Talca (Chile). The modern theory of quadratic forms has connections with a broad spectrum of mathematical areas including number theory, geometry, and K-theory. This volume contains survey and research articles covering the range of connections among these topics. The survey articles bring readers up-to-date on research and open problems in representation theory of integral quadratic forms, the algebraic theory of finite square class fields, and developments in the theory of Witt groups of triangulated categories. The specialized articles present important developments in both the algebraic and arithmetic theory of quadratic forms, as well as connections to geometry and K-theory. The volume is suitable for graduate students and research mathematicians interested in various aspects of the theory of quadratic forms.
Cellular Automata and Discrete Complex Systems
This volume constitutes the thoroughly refereed proceedings of the 24th IFIP WG 1.5 International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2018, held in Ghent, Belgium, in June 2018.The 10 regular papers presented in this book were carefully reviewed and selected from a total of 16 submissions. The papers highlight the major advances in the field and the development of new tools, support the development of theory and applications of CA and DCS and identify and study within an inter- and multidisciplinary context, the important fundamental aspects, concepts, notions and problems concerning CA and DCS.
Proceedings of the 8th Asian Conference on Solid State Ionics
This volume presents a comprehensive collection of state-of-the-art advances in the field of solid state ionic materials and the design, fabrication and performance of devices that use them, such as lithium batteries, gas sensors, fuel cells, supercapacitors and electrochromic displays. These electrochemical devices are becoming pervasive in our technologically driven lifestyles.The book includes research activities being carried out in the new millennium, through special keynote addresses, as well as invited and contributed papers, related to experimental and theoretical modeling in solid state ionics. The excellent coverage of topics arranged in such a fashion helps students and beginners ...
Yearbook of the Maimonides Centre for Advanced Studies. 2019
The Yearbook of the Maimonides Centre for Advanced Studies mirrors the annual activities of staff and visiting fellows of the Centre as well as scholars of the Institute for Jewish Philosophy and Religion at the University of Hamburg and reports on symposia, workshops, and lectures. Although aimed at a wider audience, the yearbook also contains academic articles and book reviews on scepticism in Judaism and scepticism in general. The Yearbook 2016 was published as volume 1 in the series Jewish Thought, Philosophy, and Religion. From 2017 onwards, the Yearbook is published as a separate series. Further book series of the Maimonides Centre for Advanced Studies are Studies and Texts in Scepticism and Jewish Thought, Philosophy, and Religion.
Harmonic Analysis on Symmetric Spaces and Applications II
Well, finally, here it is-the long-promised "Revenge of the Higher Rank Symmetric Spaces and Their Fundamental Domains." When I began work on it in 1977, I would probably have stopped immediately if someone had told me that ten years would pass before I would declare it "finished." Yes, I am declaring it finished-though certainly not perfected. There is a large amount of work going on at the moment as the piles of preprints reach the ceiling. Nevertheless, it is summer and the ocean calls. So I am not going to spend another ten years revising and polishing. But, gentle reader, do send me your corrections and even your preprints. Thanks to your work, there is an Appendix at the end of this volume with corrections to Volume I. I said it all in the Preface to Volume I. So I will try not to repeat myself here. Yes, the "recent trends" mentioned in that Preface are still just as recent.
STEM & Open Schooling for Sustainability Education
Our current society faces enormous environmental challenges. Now is the time to stand up for a sustainable future. This request for action also concerns our STEM education community to take the transformational potential of teaching and learning. Teachers are decisive factors in ensuring the achievement of creative and sustainable learning outcomes in mathematics and science education, in fostering young peoples’ competences and empowering them to become responsible and active citizens. We need to share good practices, research results and innovative classroom materials that allow for implementing approaches that support the implementation and scaling up of education for sustainability. Ed...
