Editors:
Presents both classic and modern research results
Contains fundamentals as well as new developments
Features numerous examples and results
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Table of contents (14 chapters)
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Front Matter
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Back Matter
About this book
This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific disciplines. Graduate students and researchers will find within this book numerous examples and a plethora of results related to trigonometric sums through pure and applied research along with open problems and new directions for future research.
Editors and Affiliations
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Moscow Institute of Physics and Technology, Dolgoprudny, Russia, Moscow state University, Moscow, Russia, Buryat State University, Ulan-Ude, Russia, Caucasus Mathematical Center, Adyghe State University, Maykop, Russia
Andrei Raigorodskii
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Institute of Mathematics, University of Zurich, Zurich, Switzerland, Moscow Institute of Physics and Technology, Dolgoprudny, Russia, Institute for Advanced Study Program in Interdisciplinary Studies, Princeton, USA
Michael Th. Rassias
About the editors
Michael Th. Rassias is currently a Latsis Foundation Senior Fellow at the University of Zürich, a visiting researcher at the Institute for Advanced Study, Princeton, as well as a visiting Assistant Professor at the Moscow Institute of Physics and Technology. He obtained his PhD in Mathematics from ETH-Zürich in 2014. During the academic year 2014-2015, he was a Postdoctoral researcher at the Department of Mathematics of Princeton University and the Department of Mathematics of ETH-Zürich, conducting research at Princeton. While at Princeton, he prepared with John F. Nash, Jr. the volume "Open Problems in Mathematics", Springer, 2016. He has received several awards in mathematical problem-solving competitions, including a Silver medal at the International Mathematical Olympiad of 2003 in Tokyo. He has authored and edited several books with Springer. His current research interests lie in mathematical analysis, analytic number theory, zeta functions, the Riemann Hypothesis, approximation theory, functional equations and analytic inequalities.
Bibliographic Information
Book Title: Trigonometric Sums and Their Applications
Editors: Andrei Raigorodskii, Michael Th. Rassias
DOI: https://doi.org/10.1007/978-3-030-37904-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-37903-2Published: 12 March 2020
Softcover ISBN: 978-3-030-37906-3Published: 12 March 2021
eBook ISBN: 978-3-030-37904-9Published: 11 March 2020
Edition Number: 1
Number of Pages: X, 311
Number of Illustrations: 1 b/w illustrations, 3 illustrations in colour
Topics: Difference and Functional Equations, Abstract Harmonic Analysis, Functional Analysis, Functions of a Complex Variable, Real Functions