Determination Of All Classes Of Positive Quartenary Quadratic Forms Which Represent All Positive Integers
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Author | : Myung-Hwan Kim |
Publisher | : American Mathematical Soc. |
Total Pages | : 314 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 0821819496 |
This volume presents the proceedings of an international conference held at Seoul National University (Korea). Talks covered recent developments in diverse areas related to the theory of integral quadratic forms and hermitian forms, local densities, linear relations and congruences of theta series, zeta functions of prehomogeneous vector spaces, lattices with maximal finite matrix groups, globally irreducible lattices, Mordell-Weil lattices, and more. Articles in the volume represent expository lectures by leading experts on recent developments in the field. The book offers a comprehensive introduction to the current state of knowledge in the arithmetic theory of quadratic forms and provides active directions of research with new results. Topics addressed in the volume emphasize connections with related fields, such as group theory, arithmetic geometry, analytic number theory, and modular forms. The book is an excellent introductory guide for students as well as a rich reference source for researchers.
Author | : Eva Bayer-Fluckiger |
Publisher | : American Mathematical Soc. |
Total Pages | : 330 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0821827790 |
This volume outlines the proceedings of the conference on "Quadratic Forms and Their Applications" held at University College Dublin. It includes survey articles and research papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms and its history. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed. Special features include the first published proof of the Conway-Schneeberger Fifteen Theorem on integer-valued quadratic forms and the first English-language biography of Ernst Witt, founder of the theory of quadratic forms.
Author | : H. Kisilevsky |
Publisher | : American Mathematical Soc. |
Total Pages | : 332 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821870310 |
This volume contains a collection of articles from the meeting of the Canadian Number Theory Association held at the Centre de Recherches Mathematiques (CRM) at the University of Montreal. The book represents a cross section of current research and new results in number theory. Topics covered include algebraic number theory, analytic number theory, arithmetic algebraic geometry, computational number theory, and Diophantine analysis and approximation. The volume contains both research andexpository papers suitable for graduate students and researchers interested in number theory.
Author | : J. W. S. Cassels |
Publisher | : Courier Dover Publications |
Total Pages | : 429 |
Release | : 2008-08-08 |
Genre | : Mathematics |
ISBN | : 0486466701 |
Exploration of quadratic forms over rational numbers and rational integers offers elementary introduction. Covers quadratic forms over local fields, forms with integral coefficients, reduction theory for definite forms, more. 1968 edition.
Author | : L.H.Y. Chen |
Publisher | : Elsevier |
Total Pages | : 221 |
Release | : 1982-01-01 |
Genre | : Mathematics |
ISBN | : 0080871852 |
Proceedings of the International Mathematical Conference, Singapore 1981
Author | : Wai Kiu Chan |
Publisher | : American Mathematical Soc. |
Total Pages | : 259 |
Release | : 2013 |
Genre | : Mathematics |
ISBN | : 0821883186 |
This volume contains the proceedings of the International Workshop on Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms. The articles cover the arithmetic theory of quadratic forms and lattices, as well as the effective Diophantine analysis with height functions.
Author | : University of Chicago |
Publisher | : |
Total Pages | : 512 |
Release | : 1929 |
Genre | : Dissertations, Academic |
ISBN | : |
Author | : Janet L. Beery |
Publisher | : Springer |
Total Pages | : 405 |
Release | : 2017-12-02 |
Genre | : Mathematics |
ISBN | : 3319666940 |
This collection of refereed papers celebrates the contributions, achievements, and progress of female mathematicians, mostly in the 20th and 21st centuries. Emerging from the themed paper session “The Contributions of Women to Mathematics: 100 Years and Counting” at MAA's 2015 MathFest, this volume contains a diverse mix of current scholarship and exposition on women and mathematics, including biographies, histories, and cultural discussions. The multiplicity of authors also ensures a wide variety of perspectives. In inspiring and informative chapters, the authors featured in this volume reflect on the accomplishments of women in mathematics, showcasing the changes in mathematical culture that resulted as more women obtained tenure-track and tenured academic positions, received prestigious awards and honors, served in leadership roles in professional societies, and became more visibly active in the mathematical community. Readers will find discussions of mathematical excellence at Girton College, Cambridge, in the late 19th and early 20th centuries; of perseverance by Polish women in mathematics during and after World War II and by Black women in mathematics in the United States from the 1880s onward; and of the impact of outreach programs ranging from EDGE's promotion of graduate education to the Daughters of Hypatia dance performances. The volume also provides informative biographies of a variety of women from mathematics and statistics, many of them well-known and others less well-known, including Charlotte Angas Scott, Emmy Noether, Mina Rees, Gertrude Cox, Euphemia Lofton Haynes, Norma Hernandez, Deborah Tepper Haimo, and Teri Perl. These essays provide compelling reading for a wide audience, including mathematicians, historians of science, teachers of mathematics, and students at the high school, college, and graduate levels. Anyone interested in attracting more girls and women as students, faculty, and/or employees will also find this volume engaging and enlightening.
Author | : Władysław Narkiewicz |
Publisher | : Springer Science & Business Media |
Total Pages | : 659 |
Release | : 2011-09-02 |
Genre | : Mathematics |
ISBN | : 0857295322 |
The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.
Author | : |
Publisher | : |
Total Pages | : 872 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : |
A journal of pure and applied mathematics.