Zeta Functions In Algebra And Geometry

Author : Antonio Campillo
Publisher : American Mathematical Soc.
ISBN 13 : 0821869000
Total Pages : 362 pages
Book Rating : 4.00/5 ( download)

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Download or read book Zeta Functions in Algebra and Geometry written by Antonio Campillo and published by American Mathematical Soc.. This book was released on 2012 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the Second International Workshop on Zeta Functions in Algebra and Geometry held May 3-7, 2010 at the Universitat de les Illes Balears, Palma de Mallorca, Spain. The conference focused on the following topics: arithmetic and geometric aspects of local, topological, and motivic zeta functions, Poincare series of valuations, zeta functions of groups, rings, and representations, prehomogeneous vector spaces and their zeta functions, and height zeta functions.

Author : Kurokawa N. (Nobushige)
Publisher :
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4.73/5 ( download)

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Download or read book Zeta Functions in Geometry written by Kurokawa N. (Nobushige) and published by . This book was released on 1992 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains accounts of work presented during the research conference, ``Zeta Functions in Geometry,'' held at the Tokyo Institute of Technology in August 1990. The aim of the conference was to provide an opportunity for the discussion of recent results by geometers and number theorists on zeta functions in several different categories. The exchange of ideas produced new insights on various geometric zeta functions, as well as the classical zeta functions. The zeta functions covered here are the Selberg zeta functions, the Ihara zeta functions, spectral zeta functions, and those associated with prehomogeneous vector spaces. Accessible to graduate students with background in geometry and number theory, Zeta Functions in Geometry will prove useful for its presentation of new results and up-to-date surveys.

Author : A. D. Thomas
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.03/5 ( download)

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Download or read book Zeta-functions written by A. D. Thomas and published by . This book was released on 1977 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Alan David Thomas
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.95/5 ( download)

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Download or read book Zeta-functions written by Alan David Thomas and published by Pitman Publishing. This book was released on 1977 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Antonio Campillo
Publisher : American Mathematical Soc.
ISBN 13 : 0821887777
Total Pages : 362 pages
Book Rating : 4.76/5 ( download)

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Download or read book Zeta Functions in Algebra and Geometry written by Antonio Campillo and published by American Mathematical Soc.. This book was released on 2012-01-01 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michel Lapidus
Publisher : Springer Science & Business Media
ISBN 13 : 1461421756
Total Pages : 583 pages
Book Rating : 4.57/5 ( download)

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Download or read book Fractal Geometry, Complex Dimensions and Zeta Functions written by Michel Lapidus and published by Springer Science & Business Media. This book was released on 2012-09-20 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Throughout Geometry, Complex Dimensions and Zeta Functions, Second Edition, new results are examined and a new definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. The new final chapter discusses several new topics and results obtained since the publication of the first edition.

Author : Takashi Aoki
Publisher : Springer Science & Business Media
ISBN 13 : 0387249818
Total Pages : 228 pages
Book Rating : 4.10/5 ( download)

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Download or read book Zeta Functions, Topology and Quantum Physics written by Takashi Aoki and published by Springer Science & Business Media. This book was released on 2008-05-10 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers by invited speakers of the symposium "Zeta Functions, Topology and Quantum Physics" held at Kinki U- versity in Osaka, Japan, during the period of March 3-6, 2003. The aims of this symposium were to establish mutual understanding and to exchange ideas among researchers working in various fields which have relation to zeta functions and zeta values. We are very happy to add this volume to the series Developments in Mathematics from Springer. In this respect, Professor Krishnaswami Alladi helped us a lot by showing his keen and enthusiastic interest in publishing this volume and by contributing his paper with Alexander Berkovich. We gratefully acknowledge financial support from Kinki University. We would like to thank Professor Megumu Munakata, Vice-Rector of Kinki University, and Professor Nobuki Kawashima, Director of School of Interdisciplinary Studies of Science and Engineering, Kinki Univ- sity, for their interest and support. We also thank John Martindale of Springer for his excellent editorial work.

Author : Bruno Kahn
Publisher : Cambridge University Press
ISBN 13 : 1108574912
Total Pages : 217 pages
Book Rating : 4.14/5 ( download)

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Download or read book Zeta and L-Functions of Varieties and Motives written by Bruno Kahn and published by Cambridge University Press. This book was released on 2020-05-07 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on commutative algebra, group cohomology, homological algebra, and the theory of motives. Zeta and L-functions sit at the meeting point of all these theories and have played a profound role in shaping the evolution of number theory. This book presents a big picture of zeta and L-functions and the complex theories surrounding them, combining standard material with results and perspectives that are not made explicit elsewhere in the literature. Particular attention is paid to the development of the ideas surrounding zeta and L-functions, using quotes from original sources and comments throughout the book, pointing the reader towards the relevant history. Based on an advanced course given at Jussieu in 2013, it is an ideal introduction for graduate students and researchers to this fascinating story.

Author : Michel L. Lapidus
Publisher : Springer Science & Business Media
ISBN 13 : 1461253144
Total Pages : 277 pages
Book Rating : 4.43/5 ( download)

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Download or read book Fractal Geometry and Number Theory written by Michel L. Lapidus and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string. We refer the reader to [Berrl-2, Lapl-4, LapPol-3, LapMal-2, HeLapl-2] and the ref erences therein for further physical and mathematical motivations of this work. (Also see, in particular, Sections 7. 1, 10. 3 and 10. 4, along with Ap pendix B.) In Chapter 1, we introduce the basic object of our research, fractal strings (see [Lapl-3, LapPol-3, LapMal-2, HeLapl-2]). A 'standard fractal string' is a bounded open subset of the real line. Such a set is a disjoint union of open intervals, the lengths of which form a sequence which we assume to be infinite. Important information about the geometry of . c is contained in its geometric zeta function (c(8) = L lj. j=l 2 Introduction We assume throughout that this function has a suitable meromorphic ex tension. The central notion of this book, the complex dimensions of a fractal string . c, is defined as the poles of the meromorphic extension of (c.

Author : Spencer J. Bloch
Publisher : American Mathematical Soc.
ISBN 13 : 0821829734
Total Pages : 114 pages
Book Rating : 4.38/5 ( download)

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Download or read book Higher Regulators, Algebraic $K$-Theory, and Zeta Functions of Elliptic Curves written by Spencer J. Bloch and published by American Mathematical Soc.. This book was released on 2011 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the long-awaited publication of the famous Irvine lectures. Delivered in 1978 at the University of California at Irvine, these lectures turned out to be an entry point to several intimately-connected new branches of arithmetic algebraic geometry, such as regulators and special values of L-functions of algebraic varieties, explicit formulas for them in terms of polylogarithms, the theory of algebraic cycles, and eventually the general theory of mixed motives which unifies and underlies all of the above (and much more).