Contributions In Analytic And Algebraic Number Theory
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Contributions In Analytic And Algebraic Number Theory
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Author : Valentin Blomer
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-19
Contributions In Analytic And Algebraic Number Theory written by Valentin Blomer 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 2011-11-19 with Mathematics categories.
The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry. A portion of the collected contributions have been developed from lectures given at the "International Conference on the Occasion of the 60th Birthday of S. J. Patterson", held at the University Göttingen, July 27-29 2009. Many of the included chapters have been contributed by invited participants. This volume presents and investigates the most recent developments in various key topics in analytic number theory and several related areas of mathematics. The volume is intended for graduate students and researchers of number theory as well as applied mathematicians interested in this broad field.
Contributions In Analytic And Algebraic Number Theory
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Author :
language : en
Publisher: Springer
Release Date : 2011-11-19
Contributions In Analytic And Algebraic Number Theory written by and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-19 with categories.
Algebraic Number Theory And Diophantine Analysis
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Author : F. Halter-Koch
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-24
Algebraic Number Theory And Diophantine Analysis written by F. Halter-Koch and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-24 with Mathematics categories.
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
A Course In Computational Algebraic Number Theory
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Author : Henri Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
A Course In Computational Algebraic Number Theory written by Henri Cohen 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 2013-04-17 with Mathematics categories.
With the advent of powerful computing tools and numerous advances in math ematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right. Both external and internal pressures gave a powerful impetus to the development of more powerful al gorithms. These in turn led to a large number of spectacular breakthroughs. To mention but a few, the LLL algorithm which has a wide range of appli cations, including real world applications to integer programming, primality testing and factoring algorithms, sub-exponential class group and regulator algorithms, etc ... Several books exist which treat parts of this subject. (It is essentially impossible for an author to keep up with the rapid pace of progress in all areas of this subject.) Each book emphasizes a different area, corresponding to the author's tastes and interests. The most famous, but unfortunately the oldest, is Knuth's Art of Computer Programming, especially Chapter 4. The present book has two goals. First, to give a reasonably comprehensive introductory course in computational number theory. In particular, although we study some subjects in great detail, others are only mentioned, but with suitable pointers to the literature. Hence, we hope that this book can serve as a first course on the subject. A natural sequel would be to study more specialized subjects in the existing literature.
Algebraic Analytic And Computational Number Theory And Its Applications
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Author : Diana Savin
language : en
Publisher: Mdpi AG
Release Date : 2024-01-16
Algebraic Analytic And Computational Number Theory And Its Applications written by Diana Savin and has been published by Mdpi AG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-16 with Computers categories.
Analytic number theory is a branch of number theory which uses methods from mathematical analysis in order to solve difficult problems about integers. Analytic number theory can be split into two major areas: multiplicative number theory and additive number theory. Bernhard Riemann made some very important contributions to the field of analytic number theory; among others, he investigated the Riemann zeta function, and he established its importance for understanding the distribution of prime numbers. A typical problem of analytic number theory is the enumeration of number-theoretic objects like primes, solutions of Diophantine equations, etc. Algebraic number theory on the other hand studies the arithmetic of algebraic number fields, i.e., the ring of integers of arbitrary number fields. It embraces, among others, the study of the ideals and of the group of units in the ring of integers and the extent to which unique factorization holds. The purpose and scope of this ''Special Issue" were to collect new results in algebraic number theory and analytic number theory (namely in the areas of ramification theory in algebraic number fields, class field theory, arithmetic functions, L-functions, modular forms and elliptic curves) and in some similar research areas (namely associative algebras, logical algebras, elementary number theory, combinatorics, difference equations, group rings and algebraic hyper-structures).
Algebraic K Theory And Algebraic Number Theory
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Author : Michael R. Stein
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Algebraic K Theory And Algebraic Number Theory written by Michael R. Stein 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 1989 with Mathematics categories.
This volume contains the proceedings of a seminar on Algebraic $K$-theory and Algebraic Number Theory, held at the East-West Center in Honolulu in January 1987. The seminar, which hosted nearly 40 experts from the U.S. and Japan, was motivated by the wide range of connections between the two topics, as exemplified in the work of Merkurjev, Suslin, Beilinson, Bloch, Ramakrishnan, Kato, Saito, Lichtenbaum, Thomason, and Ihara. As is evident from the diversity of topics represented in these proceedings, the seminar provided an opportunity for mathematicians from both areas to initiate further interactions between these two areas.
Papers In Algebra Analysis And Statistics
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Author : Australian Mathematical Society. Summer Research Institute
language : en
Publisher: American Mathematical Soc.
Release Date : 1982
Papers In Algebra Analysis And Statistics written by Australian Mathematical Society. Summer Research Institute 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 1982 with Mathematics categories.
National Common Entrance Test Teaching Aptitute 4 Year Integrated Teacher Education Programme Guide Book Theory 400 Mcq With Explanations
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Author : DIWAKAR EDUCATION HUB
language : en
Publisher: DIWAKAR EDUCATION HUB
Release Date : 2024-04-21
National Common Entrance Test Teaching Aptitute 4 Year Integrated Teacher Education Programme Guide Book Theory 400 Mcq With Explanations written by DIWAKAR EDUCATION HUB and has been published by DIWAKAR EDUCATION HUB this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-21 with Art categories.
National Common Entrance Test Teaching Aptitute 4-Year Integrated Teacher Education Programme Guide Book Theory + 400 MCQ with Explanations
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.
Science And Technology In Colonial India
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Author : Kamlesh Mohan
language : en
Publisher: Taylor & Francis
Release Date : 2022-10-04
Science And Technology In Colonial India written by Kamlesh Mohan and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-04 with History categories.
This book is a significant contribution to the socio-political history of science and technology in India, combining a wholistic perspective with a strong regional flavour. It revolves around two basic issues. First is the role of science and technology in empire-building in Asia, specifically in India, and financing its maintenance through maximum exploitation of its human, natural, agricultural and other resources by launching and executing a number of exploratory projects, termed as ‘field sciences’. Such an imperial focus was undergirded by a crucial objective; the acquisition of hegemony through social control based on intimate knowledge of horizontal and vertical divisions in lndian society around the axes of religion and caste. Formalised as colonial ethnography by the administrators, it was institutionalised as a discipline in the British universities. Second concerns the decoding of the complex response of the Indian intelligentsia including the English-educated as well as the experts and advocates of classical and regional languages which were the key to indigenous knowledge in indigenous sciences, arts and literature. The book also discusses the innovative use of print technology by Arya Samaj in recasting Hindu consciousness and its alternative of seeking historical guidelines in the past.