Area Lattice Points And Exponential Sums

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Area Lattice Points And Exponential Sums

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Author : M. N. Huxley
language : en
Publisher: Clarendon Press
Release Date : 1996-06-13

Area Lattice Points And Exponential Sums written by M. N. Huxley and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-13 with Mathematics categories.

In analytic number theory a large number of problems can be "reduced" to problems involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method developed by Bombieri and Iwaniec in 1986 for estimating the Riemann zeta function on the line *s = 1/2. Huxley and his coworkers (mostly Huxley) have taken this method and vastly extended and improved it. The powerful techniques presented here go considerably beyond older methods for estimating exponential sums such as van de Corput's method. The potential for the method is far from being exhausted, and there is considerable motivation for other researchers to try to master this subject. However, anyone currently trying to learn all of this material has the formidable task of wading through numerous papers in the literature. This book simplifies that task by presenting all of the relevant literature and a good part of the background in one package. The audience for the book will be mathematics graduate students and faculties with a research interest in analytic theory; more specifically, those with an interest in exponential sum methods. The book is self-contained; any graduate student with a one semester course in analytic number theory should have a more than sufficient background.

Area Lattice Points And Exponential Sums

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Author : Martin Neil Huxley
language : en
Publisher:
Release Date : 1996

Area Lattice Points And Exponential Sums written by Martin Neil Huxley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Exponential sums categories.

Combinatorial Image Analysis

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Author : Reinhard Klette
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-22

Combinatorial Image Analysis written by Reinhard Klette and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-22 with Computers categories.

This volume presents the proceedings of the 10th International Workshop on Combinatorial Image Analysis, held December 1–3, 2004, in Auckland, New Zealand. Prior meetings took place in Paris (France, 1991), Ube (Japan, 1992), Washington DC (USA, 1994), Lyon (France, 1995), Hiroshima (Japan, 1997), Madras (India, 1999), Caen (France, 2000), Philadelphia (USA, 2001), and - lermo (Italy, 2003). For this workshop we received 86 submitted papers from 23 countries. Each paper was evaluated by at least two independent referees. We selected 55 papers for the conference. Three invited lectures by Vladimir Kovalevsky (Berlin), Akira Nakamura (Hiroshima), and Maurice Nivat (Paris) completed the program. Conference papers are presented in this volume under the following topical part titles: discrete tomography (3 papers), combinatorics and computational models (6), combinatorial algorithms (6), combinatorial mathematics (4), d- ital topology (7), digital geometry (7), approximation of digital sets by curves and surfaces (5), algebraic approaches (5), fuzzy image analysis (2), image s- mentation (6), and matching and recognition (7). These subjects are dealt with in the context of digital image analysis or computer vision.

Surveys In Number Theory

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Author : Bruce Berndt
language : en
Publisher: CRC Press
Release Date : 2002-11-20

Surveys In Number Theory written by Bruce Berndt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-20 with Mathematics categories.

This volume, based on fourteen papers from the Millennial Conference on Number Theory, represents surveys of topics in number theory and provides an outlook into the future of number theory research. It serves as an inspiration to graduate students and as a reference for research mathematicians.

Number Theory

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Author : R.P. Bambah
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Number Theory written by R.P. Bambah and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The Indian National Science Academy on the occasion ofthe Golden Jubilee Celebration (Fifty years of India's Independence) decided to publish a number of monographs on the selected fields. The editorial board of INS A invited us to prepare a special monograph in Number Theory. In reponse to this assignment, we invited several eminent Number Theorists to contribute expository/research articles for this monograph on Number Theory. Al though some ofthose invited, due to other preoccupations-could not respond positively to our invitation, we did receive fairly encouraging response from many eminent and creative number theorists throughout the world. These articles are presented herewith in a logical order. We are grateful to all those mathematicians who have sent us their articles. We hope that this monograph will have a significant impact on further development in this subject. R. P. Bambah v. C. Dumir R. J. Hans-Gill A Centennial History of the Prime Number Theorem Tom M. Apostol The Prime Number Theorem Among the thousands of discoveries made by mathematicians over the centuries, some stand out as significant landmarks. One of these is the prime number theorem, which describes the asymptotic distribution of prime numbers. It can be stated in various equivalent forms, two of which are: x (I) K(X) '" -I - as x --+ 00, ogx and Pn '" n log n as n --+ 00. (2) In (1), K(X) denotes the number of primes P ::s x for any x > O.

Discrete Geometry For Computer Imagery

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Author : Rocio Gonzalez Diaz
language : en
Publisher: Springer
Release Date : 2013-03-17

Discrete Geometry For Computer Imagery written by Rocio Gonzalez Diaz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-17 with Computers categories.

This book constitutes the thoroughly refereed proceedings of the 17th International Conference on Discrete Geometry for Computer Imagery, DGCI 2013, held in Seville, Spain, in March 2013. The 34 revised full papers presented were carefully selected from 56 submissions and focus on geometric transforms, discrete and combinatorial tools for image segmentation and analysis, discrete and combinatorial topology, discrete shape representation, recognition and analysis, models for discrete geometry, morphological analysis and discrete tomography.

Prospects In Mathematics

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Author : Hugo Rossi
language : en
Publisher: American Mathematical Soc.
Release Date :

Prospects In Mathematics written by Hugo Rossi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

In celebration of Princeton University's 250th anniversary, the mathematics department held a conference entitled "Prospects in Mathematics". The purpose of the conference was to speculate on future directions of research in mathematics. This collection of articles provides a rich panorama of current mathematical activity in many research areas. From Gromov's lecture on quantitative differential topology to Witten's discussion of string theory, new ideas and techniques transfixed the audience of international mathematicians. The volume contains 11 articles by leading mathematicians, including historical presentations by J. Milnor and D. Spencer. It provides a guide to some of the most significant mathematical work of the past decade.

Lattice Points

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Author : Ekkehard Krätzel
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-03-31

Lattice Points written by Ekkehard Krätzel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-03-31 with Mathematics categories.

This book is devoted to a special problem of number theory, that is the estimation of the number of lattice points in large closed domains of ordinary Euclidean spaces. Circle and sphere problems, Dirichlet's divisor problem, the distribution of powerful numbers, and finite Abelian groups are also investigated. The object of this book is to acquaint the reader with the fundamental results and methods, so that follow up with the original papers is possible.

Noncommutative Harmonic Analysis

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Author : Patrick Delorme
language : en
Publisher: Springer Science & Business Media
Release Date : 2004

Noncommutative Harmonic Analysis written by Patrick Delorme and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization. Good text for researchers and grad students in representation theory.

Number Theory Fourier Analysis And Geometric Discrepancy

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Author : Giancarlo Travaglini
language : en
Publisher: Cambridge University Press
Release Date : 2014-06-12

Number Theory Fourier Analysis And Geometric Discrepancy written by Giancarlo Travaglini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-12 with Mathematics categories.

Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.