Download or read book The Mysteries of the Real Prime written by M. J. Shai Haran and published by Oxford University Press. This book was released on 2001 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly topical and original monograph, introducing the author's work on the Riemann zeta function and its adelic interpretation of interest to a wide range of mathematicians and physicists.
Download or read book The Mysteries of the Real Prime written by M. J. Shai Haran and published by Oxford University Press. This book was released on 2001 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly topical and original monograph, introducing the author's work on the Riemann zeta function and its adelic interpretation of interest to a wide range of mathematicians and physicists.
Download or read book The Structure of Groups of Prime Power Order written by Charles Richard Leedham-Green and published by Clarendon Press. This book was released on 2002 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important monograph summarizing the development of a classification system of finite p-groups.
Download or read book Surveys in Noncommutative Geometry written by Nigel Higson and published by American Mathematical Soc.. This book was released on 2006 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: In June 2000, the Clay Mathematics Institute organized an Instructional Symposium on Noncommutative Geometry in conjunction with the AMS-IMS-SIAM Joint Summer Research Conference. These events were held at Mount Holyoke College in Massachusetts from June 18 to 29, 2000. The Instructional Symposium consisted of several series of expository lectures which were intended to introduce key topics in noncommutative geometry to mathematicians unfamiliar with the subject. Those expository lectures have been edited and are reproduced in this volume. The lectures of Rosenberg and Weinberger discuss various applications of noncommutative geometry to problems in ``ordinary'' geometry and topology. The lectures of Lagarias and Tretkoff discuss the Riemann hypothesis and the possible application of the methods of noncommutative geometry in number theory. Higson gives an account of the ``residue index theorem'' of Connes and Moscovici. Noncommutative geometry is to an unusual extent the creation of a single mathematician, Alain Connes. The present volume gives an extended introduction to several aspects of Connes' work in this fascinating area. Information for our distributors: Titles in this series are copublished with the Clay Mathematics Institute (Cambridge, MA).
Download or read book The Riemann Hypothesis for Function Fields written by Machiel Van Frankenhuysen and published by Cambridge University Press. This book was released on 2014-01-09 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exposition of the theory of curves over a finite field, and connections to the Riemann Hypothesis for function fields.
Download or read book Advances in Non Archimedean Analysis written by Jesus Araujo-Gomez and published by American Mathematical Soc.. This book was released on 2011 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: These collected articles feature recent developments in various areas of non-Archimedean analysis: Hilbert and Banach spaces, finite dimensional spaces, topological vector spaces and operator theory, strict topologies, spaces of continuous functions and of strictly differentiable functions, isomorphisms between Banach functions spaces, and measure and integration.
Download or read book The Mysteries of London Vol 1 4 written by George W. M. Reynolds and published by Good Press. This book was released on 2023-12-13 with total page 3105 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mysteries of London in 4 volumes is a "penny blood" classic. There are many plots in the story, but the overarching purpose is to reveal different facets of life in London, from its seedy underbelly to its over-indulgent and corrupt aristocrats. The Mysteries of London are considered to be among the seminal works of the Victorian "urban mysteries" genre, a style of sensational fiction which adapted elements of Gothic novels – with their haunted castles, innocent noble damsels in distress and nefarious villains – to produce stories which instead emphasized the poverty, crime, and violence of a great metropolis, complete with detailed and often sympathetic descriptions of the lives of lower-class lawbreakers and extensive glossaries of thieves' cant, all interwoven with a frank sexuality not usually found in popular fiction of the time.
Download or read book The Big Book of British Murder Mysteries written by Arthur Conan Doyle and published by DigiCat. This book was released on 2022-11-13 with total page 18265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition includes: Edgar Wallace: The Four Just Men The Council of Justice The Just Men of Cordova The Law of the Four Just Men The Nine Bears Angel Esquire The Fourth Plague or Red Hand Grey Timothy or Pallard the Punter The Man who Bought London The Melody of Death A Debt Discharged The Tomb of T'Sin The Secret House The Clue of the Twisted Candle Down under Donovan The Man who Knew The Green Rust Kate Plus Ten The Daffodil Murder Jack O'Judgment The Angel of Terror The Crimson Circle Take-A-Chance Anderson The Valley of Ghosts P.-C. Lee Series Arthur Conan Doyle: Sherlock Holmes Series A Study in Scarlet The Sign of Four The Hound of the Baskervilles The Valley of Fear The Adventures of Sherlock Holmes The Memoirs of Sherlock Holmes The Return of Sherlock Holmes His Last Bow Other Mysteries True Crime Stories Wilkie Collins: The Woman in White No Name Armadale The Moonstone The Haunted Hotel The Law and The Lady The Dead Secret Miss or Mrs? R. Austin Freeman: Dr. Thorndyke Series Other Mysteries Agatha Christie: The Mysterious Affair at Styles The Secret Adversary H. C. McNeile: Bulldog Drummond The Black Gang G. K. Chesterton: The Innocence of Father Brown The Wisdom of Father Brown Arthur Morrison: Martin Hewitt Series Dorrington & Hicks Stories Ernest Bramah: Max Carrados Stories Victor L. Whitechurch: The Canon in Residence Thrilling Stories of the Railway Thomas W. Hanshew: Hamilton Cleek Series E. W. Hornung: A. J. Raffles Series Mystery Novels J. S. Fletcher: Mystery Novels Paul Campenhaye – Specialist in Criminology Rober Barr: The Triumph of Eugéne Valmont Jennie Baxter, Journalist The Adventures of Sherlaw Kombs The Adventure of the Second Swag Frank Froest Mystery Novels C. N. Williamson & A. M. Williamson Mystery Novels Isabel Ostander Mystery Novels
Download or read book New Foundations for Geometry Two Non Additive Languages for Arithmetical Geometry written by Shai M. J. Haran and published by American Mathematical Soc.. This book was released on 2017-02-20 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: To view the abstract go to http://www.ams.org/books/memo/1166.
Download or read book Analytic Theory of Polynomials written by Qazi Ibadur Rahman and published by Oxford University Press. This book was released on 2002 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents easy to understand proofs of same of the most difficult results about polynomials demonstrated by means of applications
Download or read book Horizons of Fractal Geometry and Complex Dimensions written by Robert G. Niemeyer and published by American Mathematical Soc.. This book was released on 2019-06-26 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 2016 Summer School on Fractal Geometry and Complex Dimensions, in celebration of Michel L. Lapidus's 60th birthday, held from June 21–29, 2016, at California Polytechnic State University, San Luis Obispo, California. The theme of the contributions is fractals and dynamics and content is split into four parts, centered around the following themes: Dimension gaps and the mass transfer principle, fractal strings and complex dimensions, Laplacians on fractal domains and SDEs with fractal noise, and aperiodic order (Delone sets and tilings).
Download or read book Exploring the Riemann Zeta Function written by Hugh Montgomery and published by Springer. This book was released on 2017-09-11 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects. The book focuses on both old and new results towards the solution of long-standing problems as well as it features some key historical remarks. The purpose of this volume is to present in a unified way broad and deep areas of research in a self-contained manner. It will be particularly useful for graduate courses and seminars as well as it will make an excellent reference tool for graduate students and researchers in Mathematics, Mathematical Physics, Engineering and Cryptography.
Download or read book Quantized Number Theory Fractal Strings And The Riemann Hypothesis From Spectral Operators To Phase Transitions And Universality written by Hafedh Herichi and published by World Scientific. This book was released on 2021-07-27 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This book contributes to the literature on the subject in several different and new ways. In particular, the authors provide a rigorous and detailed study of the spectral operator, a map that sends the geometry of fractal strings onto their spectrum. To that effect, they use and develop methods from fractal geometry, functional analysis, complex analysis, operator theory, partial differential equations, analytic number theory and mathematical physics.Originally, M L Lapidus and M van Frankenhuijsen 'heuristically' introduced the spectral operator in their development of the theory of fractal strings and their complex dimensions, specifically in their reinterpretation of the earlier work of M L Lapidus and H Maier on inverse spectral problems for fractal strings and the Riemann hypothesis.One of the main themes of the book is to provide a rigorous framework within which the corresponding question 'Can one hear the shape of a fractal string?' or, equivalently, 'Can one obtain information about the geometry of a fractal string, given its spectrum?' can be further reformulated in terms of the invertibility or the quasi-invertibility of the spectral operator.The infinitesimal shift of the real line is first precisely defined as a differentiation operator on a family of suitably weighted Hilbert spaces of functions on the real line and indexed by a dimensional parameter c. Then, the spectral operator is defined via the functional calculus as a function of the infinitesimal shift. In this manner, it is viewed as a natural 'quantum' analog of the Riemann zeta function. More precisely, within this framework, the spectral operator is defined as the composite map of the Riemann zeta function with the infinitesimal shift, viewed as an unbounded normal operator acting on the above Hilbert space.It is shown that the quasi-invertibility of the spectral operator is intimately connected to the existence of critical zeros of the Riemann zeta function, leading to a new spectral and operator-theoretic reformulation of the Riemann hypothesis. Accordingly, the spectral operator is quasi-invertible for all values of the dimensional parameter c in the critical interval (0,1) (other than in the midfractal case when c =1/2) if and only if the Riemann hypothesis (RH) is true. A related, but seemingly quite different, reformulation of RH, due to the second author and referred to as an 'asymmetric criterion for RH', is also discussed in some detail: namely, the spectral operator is invertible for all values of c in the left-critical interval (0,1/2) if and only if RH is true.These spectral reformulations of RH also led to the discovery of several 'mathematical phase transitions' in this context, for the shape of the spectrum, the invertibility, the boundedness or the unboundedness of the spectral operator, and occurring either in the midfractal case or in the most fractal case when the underlying fractal dimension is equal to ½ or 1, respectively. In particular, the midfractal dimension c=1/2 is playing the role of a critical parameter in quantum statistical physics and the theory of phase transitions and critical phenomena.Furthermore, the authors provide a 'quantum analog' of Voronin's classical theorem about the universality of the Riemann zeta function. Moreover, they obtain and study quantized counterparts of the Dirichlet series and of the Euler product for the Riemann zeta function, which are shown to converge (in a suitable sense) even inside the critical strip.For pedagogical reasons, most of the book is devoted to the study of the quantized Riemann zeta function. However, the results obtained in this monograph are expected to lead to a quantization of most classic arithmetic zeta functions, hence, further 'naturally quantizing' various aspects of analytic number theory and arithmetic geometry.The book should be accessible to experts and non-experts alike, including mathematics and physics graduate students and postdoctoral researchers, interested in fractal geometry, number theory, operator theory and functional analysis, differential equations, complex analysis, spectral theory, as well as mathematical and theoretical physics. Whenever necessary, suitable background about the different subjects involved is provided and the new work is placed in its proper historical context. Several appendices supplementing the main text are also included.
Download or read book The Mysteries of London written by George William MacArthur Reynolds and published by . This book was released on 1847 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The mysteries of London written by George William M. Reynolds and published by . This book was released on 1845 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Representation Theory Dynamical Systems and Asymptotic Combinatorics written by V. Kaimanovich and published by American Mathematical Soc.. This book was released on 2011-11-09 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, devoted to the 70th birthday of the well-known St. Petersburg mathematician A. M. Vershik, contains a collection of articles by participants in the conference "Representation Theory, Dynamical Systems, and Asymptotic Combinatorics", held in St. Petersburg in June of 2004. The book is suitable for graduate students and researchers interested in combinatorial and dynamical aspects of group representation theory.
Download or read book Arithmetical Investigations written by Shai M. J. Haran and published by Springer Science & Business Media. This book was released on 2008-04-25 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume the author further develops his philosophy of quantum interpolation between the real numbers and the p-adic numbers. The p-adic numbers contain the p-adic integers Zp which are the inverse limit of the finite rings Z/pn. This gives rise to a tree, and probability measures w on Zp correspond to Markov chains on this tree. From the tree structure one obtains special basis for the Hilbert space L2(Zp,w). The real analogue of the p-adic integers is the interval [-1,1], and a probability measure w on it gives rise to a special basis for L2([-1,1],w) - the orthogonal polynomials, and to a Markov chain on "finite approximations" of [-1,1]. For special (gamma and beta) measures there is a "quantum" or "q-analogue" Markov chain, and a special basis, that within certain limits yield the real and the p-adic theories. This idea can be generalized variously. In representation theory, it is the quantum general linear group GLn(q)that interpolates between the p-adic group GLn(Zp), and between its real (and complex) analogue -the orthogonal On (and unitary Un )groups. There is a similar quantum interpolation between the real and p-adic Fourier transform and between the real and p-adic (local unramified part of) Tate thesis, and Weil explicit sums.
