Number Theory in the Spirit of Liouville - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Number Theory in the Spirit of Liouville write by Kenneth S. Williams. This book was released on 2011. Number Theory in the Spirit of Liouville available in PDF, EPUB and Kindle. A gentle introduction to Liouville's powerful method in elementary number theory. Suitable for advanced undergraduate and beginning graduate students.
Number Theory in the Spirit of Ramanujan
Number Theory in the Spirit of Ramanujan - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Number Theory in the Spirit of Ramanujan write by Bruce C. Berndt. This book was released on 2006. Number Theory in the Spirit of Ramanujan available in PDF, EPUB and Kindle. Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are originally due to Ramanujan or were rediscovered by him. Ramanujan did not leave us proofs of the thousands of theorems he recorded in his notebooks, and so it cannot be claimed that many of the proofs given in this book are those found by Ramanujan. However, they are all in the spirit of his mathematics. The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory.
Number Theory, Fourier Analysis and Geometric Discrepancy
Number Theory, Fourier Analysis and Geometric Discrepancy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Number Theory, Fourier Analysis and Geometric Discrepancy write by Giancarlo Travaglini. This book was released on 2014-06-12. Number Theory, Fourier Analysis and Geometric Discrepancy available in PDF, EPUB and Kindle. Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.
Analytic Number Theory, Modular Forms and q-Hypergeometric Series
Analytic Number Theory, Modular Forms and q-Hypergeometric Series - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Number Theory, Modular Forms and q-Hypergeometric Series write by George E. Andrews. This book was released on 2018-02-01. Analytic Number Theory, Modular Forms and q-Hypergeometric Series available in PDF, EPUB and Kindle. Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this volume features 40 articles by leading researchers on topics in analytic number theory, probabilistic number theory, irrationality and transcendence, Diophantine analysis, partitions, basic hypergeometric series, and modular forms. Readers will also find detailed discussions of several aspects of the path-breaking work of Srinivasa Ramanujan and its influence on current research. Many of the papers were motivated by Alladi's own research on partitions and q-series as well as his earlier work in number theory. Alladi is well known for his contributions in number theory and mathematics. His research interests include combinatorics, discrete mathematics, sieve methods, probabilistic and analytic number theory, Diophantine approximations, partitions and q-series identities. Graduate students and researchers will find this volume a valuable resource on new developments in various aspects of number theory.
Lectures on Profinite Topics in Group Theory
Lectures on Profinite Topics in Group Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Profinite Topics in Group Theory write by Benjamin Klopsch. This book was released on 2011-02-10. Lectures on Profinite Topics in Group Theory available in PDF, EPUB and Kindle. In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The final chapter provides an overview of zeta functions associated to groups and rings. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.
