Number Theory in Memory of Eduard Wirsing

Number Theory in Memory of Eduard Wirsing

Author: Helmut Maier

Publisher: Springer Nature

Published: 2023-08-28

Total Pages: 332

ISBN-13: 3031316177

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Eduard Wirsing was an outstanding number theorist. In his research he made significant contributions to various subfields of number theory and also collaborated with other eminent scientists (e.g., with the Fields Medalist Alan Baker as well as Don Zagier). This commemorative volume includes numerous papers on current research in number theory by well-known experts, as well as some personal recollections by companions of Wirsing. The topics covered in this volume include arithmetical functions, continued fractions, elementary proofs of the prime number theorem, friable integers, the Goldbach problem, Dirichlet series, Euler products, and more. There is something for every interested reader.


Book Synopsis Number Theory in Memory of Eduard Wirsing by : Helmut Maier

Download or read book Number Theory in Memory of Eduard Wirsing written by Helmut Maier and published by Springer Nature. This book was released on 2023-08-28 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eduard Wirsing was an outstanding number theorist. In his research he made significant contributions to various subfields of number theory and also collaborated with other eminent scientists (e.g., with the Fields Medalist Alan Baker as well as Don Zagier). This commemorative volume includes numerous papers on current research in number theory by well-known experts, as well as some personal recollections by companions of Wirsing. The topics covered in this volume include arithmetical functions, continued fractions, elementary proofs of the prime number theorem, friable integers, the Goldbach problem, Dirichlet series, Euler products, and more. There is something for every interested reader.


From Arithmetic to Zeta-Functions

From Arithmetic to Zeta-Functions

Author: Jürgen Sander

Publisher: Springer

Published: 2016-12-29

Total Pages: 552

ISBN-13: 3319282034

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This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions, the various research and survey articles cover the broad interests of the well-known number theorist and cherished colleague Wolfgang Schwarz (1934-2013), who contributed over one hundred articles on number theory, its history and related fields. Readers interested in elementary or analytic number theory and related fields will certainly find many fascinating topical results among the contributions from both respected mathematicians and up-and-coming young researchers. In addition, some biographical articles highlight the life and mathematical works of Wolfgang Schwarz.


Book Synopsis From Arithmetic to Zeta-Functions by : Jürgen Sander

Download or read book From Arithmetic to Zeta-Functions written by Jürgen Sander and published by Springer. This book was released on 2016-12-29 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions, the various research and survey articles cover the broad interests of the well-known number theorist and cherished colleague Wolfgang Schwarz (1934-2013), who contributed over one hundred articles on number theory, its history and related fields. Readers interested in elementary or analytic number theory and related fields will certainly find many fascinating topical results among the contributions from both respected mathematicians and up-and-coming young researchers. In addition, some biographical articles highlight the life and mathematical works of Wolfgang Schwarz.


Number Theory

Number Theory

Author: Hans P. Schlickewei

Publisher:

Published: 2014-01-15

Total Pages: 280

ISBN-13: 9783662191651

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Book Synopsis Number Theory by : Hans P. Schlickewei

Download or read book Number Theory written by Hans P. Schlickewei and published by . This book was released on 2014-01-15 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Number Theory

Number Theory

Author: Hans P. Schlickewei

Publisher: Lecture Notes in Mathematics

Published: 1989-06-28

Total Pages: 282

ISBN-13:

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The 15 papers of this selection of contributions to the Journées Arithmétiques 1987 include both survey articles and original research papers and represent a cross-section of topics such as Abelian varieties, algebraic integers, arithmetic algebraic geometry, additive number theory, computational number theory, exponential sums, modular forms, transcendence and Diophantine approximation, uniform distribution.


Book Synopsis Number Theory by : Hans P. Schlickewei

Download or read book Number Theory written by Hans P. Schlickewei and published by Lecture Notes in Mathematics. This book was released on 1989-06-28 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 15 papers of this selection of contributions to the Journées Arithmétiques 1987 include both survey articles and original research papers and represent a cross-section of topics such as Abelian varieties, algebraic integers, arithmetic algebraic geometry, additive number theory, computational number theory, exponential sums, modular forms, transcendence and Diophantine approximation, uniform distribution.


My Mathematical Universe: People, Personalities, And The Profession

My Mathematical Universe: People, Personalities, And The Profession

Author: Krishnaswami Alladi

Publisher: World Scientific

Published: 2022-11-15

Total Pages: 770

ISBN-13: 9811263078

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This is an autobiography and an exposition on the contributions and personalities of many of the leading researchers in mathematics and physics with whom Dr Krishna Alladi, Professor of Mathematics at the University of Florida, has had personal interaction with for over six decades. Discussions of various aspects of the physics and mathematics academic professions are included.Part I begins with the author's unusual and frequent introductions as a young boy to scientific luminaries like Nobel Laureates Niels Bohr, Murray Gell-Mann, and Richard Feynman, in the company of his father, the scientist Alladi Ramakrishnan. Also in Part I is an exciting account of how the author started his research investigations in number theory as an undergraduate, and how contact and collaboration with the great Paul Erdős as a student influenced him in his career.In-depth views of the Institute for Advanced Study, Princeton, and several major American Universities are given, and fascinating descriptions of the work and personalities of some Field Medalists and eminent mathematicians are provided.Part II deals with the author's tenure at the University of Florida where he initiated several programs as Mathematics Chair for a decade, and how he has served the profession in various capacities, most notably as Chair of the SASTRA Ramanujan Prize Committee and Editor-in-Chief of The Ramanujan Journal.The book would appeal to academicians and the general public, since the author has blended academic and scientific discussions at a non-technical level with descriptions of destinations in his international travels for work and pleasure. The reader is invited to dig as deep as desired and is guaranteed to be treated to whimsical stories and personal peeks at some of the great luminaries of the twentieth and twenty-first centuries.


Book Synopsis My Mathematical Universe: People, Personalities, And The Profession by : Krishnaswami Alladi

Download or read book My Mathematical Universe: People, Personalities, And The Profession written by Krishnaswami Alladi and published by World Scientific. This book was released on 2022-11-15 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an autobiography and an exposition on the contributions and personalities of many of the leading researchers in mathematics and physics with whom Dr Krishna Alladi, Professor of Mathematics at the University of Florida, has had personal interaction with for over six decades. Discussions of various aspects of the physics and mathematics academic professions are included.Part I begins with the author's unusual and frequent introductions as a young boy to scientific luminaries like Nobel Laureates Niels Bohr, Murray Gell-Mann, and Richard Feynman, in the company of his father, the scientist Alladi Ramakrishnan. Also in Part I is an exciting account of how the author started his research investigations in number theory as an undergraduate, and how contact and collaboration with the great Paul Erdős as a student influenced him in his career.In-depth views of the Institute for Advanced Study, Princeton, and several major American Universities are given, and fascinating descriptions of the work and personalities of some Field Medalists and eminent mathematicians are provided.Part II deals with the author's tenure at the University of Florida where he initiated several programs as Mathematics Chair for a decade, and how he has served the profession in various capacities, most notably as Chair of the SASTRA Ramanujan Prize Committee and Editor-in-Chief of The Ramanujan Journal.The book would appeal to academicians and the general public, since the author has blended academic and scientific discussions at a non-technical level with descriptions of destinations in his international travels for work and pleasure. The reader is invited to dig as deep as desired and is guaranteed to be treated to whimsical stories and personal peeks at some of the great luminaries of the twentieth and twenty-first centuries.


Reviews in Number Theory 1973-83

Reviews in Number Theory 1973-83

Author: Richard K. Guy

Publisher:

Published: 1984

Total Pages: 844

ISBN-13:

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Book Synopsis Reviews in Number Theory 1973-83 by : Richard K. Guy

Download or read book Reviews in Number Theory 1973-83 written by Richard K. Guy and published by . This book was released on 1984 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Mathematical Reviews

Mathematical Reviews

Author:

Publisher:

Published: 2005

Total Pages: 1518

ISBN-13:

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1518 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Contents of Contemporary Mathematical Journals

Contents of Contemporary Mathematical Journals

Author:

Publisher:

Published: 1974

Total Pages: 930

ISBN-13:

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Book Synopsis Contents of Contemporary Mathematical Journals by :

Download or read book Contents of Contemporary Mathematical Journals written by and published by . This book was released on 1974 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Multiplicative Number Theory

Multiplicative Number Theory

Author: H. Davenport

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 188

ISBN-13: 1475759274

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Although it was in print for a short time only, the original edition of Multiplicative Number Theory had a major impact on research and on young mathematicians. By giving a connected account of the large sieve and Bombieri's theorem, Professor Davenport made accessible an important body of new discoveries. With this stimula tion, such great progress was made that our current understanding of these topics extends well beyond what was known in 1966. As the main results can now be proved much more easily. I made the radical decision to rewrite §§23-29 completely for the second edition. In making these alterations I have tried to preserve the tone and spirit of the original. Rather than derive Bombieri's theorem from a zero density estimate tor L timctions, as Davenport did, I have chosen to present Vaughan'S elementary proof of Bombieri's theorem. This approach depends on Vaughan's simplified version of Vinogradov's method for estimating sums over prime numbers (see §24). Vinogradov devised his method in order to estimate the sum LPH e(prx); to maintain the historical perspective I have inserted (in §§25, 26) a discussion of this exponential sum and its application to sums of primes, before turning to the large sieve and Bombieri's theorem. Before Professor Davenport's untimely death in 1969, several mathematicians had suggested small improvements which might be made in Multiplicative Number Theory, should it ever be reprinted.


Book Synopsis Multiplicative Number Theory by : H. Davenport

Download or read book Multiplicative Number Theory written by H. Davenport and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although it was in print for a short time only, the original edition of Multiplicative Number Theory had a major impact on research and on young mathematicians. By giving a connected account of the large sieve and Bombieri's theorem, Professor Davenport made accessible an important body of new discoveries. With this stimula tion, such great progress was made that our current understanding of these topics extends well beyond what was known in 1966. As the main results can now be proved much more easily. I made the radical decision to rewrite §§23-29 completely for the second edition. In making these alterations I have tried to preserve the tone and spirit of the original. Rather than derive Bombieri's theorem from a zero density estimate tor L timctions, as Davenport did, I have chosen to present Vaughan'S elementary proof of Bombieri's theorem. This approach depends on Vaughan's simplified version of Vinogradov's method for estimating sums over prime numbers (see §24). Vinogradov devised his method in order to estimate the sum LPH e(prx); to maintain the historical perspective I have inserted (in §§25, 26) a discussion of this exponential sum and its application to sums of primes, before turning to the large sieve and Bombieri's theorem. Before Professor Davenport's untimely death in 1969, several mathematicians had suggested small improvements which might be made in Multiplicative Number Theory, should it ever be reprinted.


Friedrich List (1789-1846)

Friedrich List (1789-1846)

Author: Eugen Wendler

Publisher: Springer

Published: 2014-09-16

Total Pages: 292

ISBN-13: 3642545548

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Friedrich List (1789-1846) was a prophet of social market economy, national economy and the infant-industry theory. In this comprehensive biography the international influence and reception of List’s theories is presented together with his extraordinary vita. List was a notable early advocate of economic integration of the many separate states of 19th century Germany. His basic theory is that of productive resources and the need to protect infant industries until they have matured enough to stand alone. He is recognized as a visionary economist with social responsibility and as an influential railway pioneer. He was a liberal and a democrat who promoted an extended representative democracy, including respect for human rights and civil liberties, to accompany industrial development. His highly influential main work “The National System of Political Economy” has been translated into many languages. Eugen Wendler, the renowned author and List expert, not only builds upon his many years of research, but also discusses several new sources. This richly illustrated book is as informative as it is well written.


Book Synopsis Friedrich List (1789-1846) by : Eugen Wendler

Download or read book Friedrich List (1789-1846) written by Eugen Wendler and published by Springer. This book was released on 2014-09-16 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Friedrich List (1789-1846) was a prophet of social market economy, national economy and the infant-industry theory. In this comprehensive biography the international influence and reception of List’s theories is presented together with his extraordinary vita. List was a notable early advocate of economic integration of the many separate states of 19th century Germany. His basic theory is that of productive resources and the need to protect infant industries until they have matured enough to stand alone. He is recognized as a visionary economist with social responsibility and as an influential railway pioneer. He was a liberal and a democrat who promoted an extended representative democracy, including respect for human rights and civil liberties, to accompany industrial development. His highly influential main work “The National System of Political Economy” has been translated into many languages. Eugen Wendler, the renowned author and List expert, not only builds upon his many years of research, but also discusses several new sources. This richly illustrated book is as informative as it is well written.