Representation of Binary Forms by Sets of Ternary Forms PDF Download
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Author: Daniel Maccabaeus Dribin
Publisher:
ISBN:
Category : Forms, Binary
Languages : en
Pages : 26
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Book Description
Author: Daniel Maccabaeus Dribin
Publisher:
ISBN:
Category : Forms, Binary
Languages : en
Pages : 26
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Book Description
Author: Daniel Maccabaeus Dribin
Publisher:
ISBN:
Category : Forms, Binary
Languages : en
Pages : 30
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Book Description
Author: Daniel Maccabaeus Dribin
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Goro Shimura
Publisher: American Mathematical Soc.
ISBN: 1470415623
Category : Education
Languages : en
Pages : 290
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Book Description
In this book, award-winning author Goro Shimura treats new areas and presents relevant expository material in a clear and readable style. Topics include Witt's theorem and the Hasse principle on quadratic forms, algebraic theory of Clifford algebras, spin groups, and spin representations. He also includes some basic results not readily found elsewhere. The two principle themes are: (1) Quadratic Diophantine equations; (2) Euler products and Eisenstein series on orthogonal groups and Clifford groups. The starting point of the first theme is the result of Gauss that the number of primitive representations of an integer as the sum of three squares is essentially the class number of primitive binary quadratic forms. Presented are a generalization of this fact for arbitrary quadratic forms over algebraic number fields and various applications. For the second theme, the author proves the existence of the meromorphic continuation of a Euler product associated with a Hecke eigenform on a Clifford or an orthogonal group. The same is done for an Eisenstein series on such a group. Beyond familiarity with algebraic number theory, the book is mostly self-contained. Several standard facts are stated with references for detailed proofs. Goro Shimura won the 1996 Steele Prize for Lifetime Achievement for "his important and extensive work on arithmetical geometry and automorphic forms".
Author: O. Taussky
Publisher: CRC Press
ISBN: 1000116808
Category : Mathematics
Languages : en
Pages : 152
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Book Description
This book covers topics including the Redei-Reichardt theorem, automorphs of ternary quadratic forms, facts concerning rational matrices leading to integral ternary forms representing zero, characteristics polynomials of symmetric matrices, and Gauss' theory of ternary quadratic forms.
Author: Abraham Adrian Albert
Publisher: American Mathematical Soc.
ISBN: 9780821870556
Category : Associative algebras
Languages : en
Pages : 824
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Book Description
This book contains the collected works of A. Adrian Albert, a leading algebraist of the twentieth century. Albert made many important contributions to the theory of the Brauer group and central simple algeras, Riemann matrices, nonassociative algebras and other topics. Part 1 focuses on associative algebras and Riemann matrices part 2 on nonassociative algebras and miscellany. Because much of Albert's work remains of vital interest in contemporary research, this volume will interst mathematicians in a variety of areas.
Author: Oswald Karl Sagen
Publisher:
ISBN:
Category : Forms, Quadratic
Languages : en
Pages : 40
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Author: Montserrat Alsina
Publisher: American Mathematical Soc.
ISBN: 9780821833599
Category : Mathematics
Languages : en
Pages : 232
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Book Description
Shimura curves are a far-reaching generalization of the classical modular curves. They lie at the crossroads of many areas, including complex analysis, hyperbolic geometry, algebraic geometry, algebra, and arithmetic. This monograph presents Shimura curves from a theoretical and algorithmic perspective. The main topics are Shimura curves defined over the rational number field, the construction of their fundamental domains, and the determination of their complex multiplicationpoints. The study of complex multiplication points in Shimura curves leads to the study of families of binary quadratic forms with algebraic coefficients and to their classification by arithmetic Fuchsian groups. In this regard, the authors develop a theory full of new possibilities that parallels Gauss'theory on the classification of binary quadratic forms with integral coefficients by the action of the modular group. This is one of the few available books explaining the theory of Shimura curves at the graduate student level. Each topic covered in the book begins with a theoretical discussion followed by carefully worked-out examples, preparing the way for further research.
Author: Nancy E. Albert
Publisher: iUniverse
ISBN: 0595328172
Category : Biography & Autobiography
Languages : en
Pages : 368
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Book Description
A3 & HIS ALGEBRA is the true story of a struggling young boy from Chicago's west side who grew to become a force in American mathematics. For nearly 50 years, A. A. Albert thrived at the University of Chicago, one of the world's top centers for algebra. His "pure research" in algebra found its way into modern computers, rocket guidance systems, cryptology, and quantum mechanics, the basic theory behind atomic energy calculations. This first-hand account of the life of a world-renowned American mathematician is written by Albert's daughter. Her memoir, which favors a general audience, offers a personal and revealing look at the multidimensional life of an academic who had a lasting impact on his profession. SOME QUOTATIONS FROM PROFESSOR ALBERT: "There are really few bad students of mathematics. There are, instead, many bad teachers and bad curricula..." "The difficulty of learning mathematics is increased by the fact that in so many high schools this very difficult subject is considered to be teachable by those whose major subject is language, botany, or even physical education." "It is still true that in a majority of American universities the way to find the Department of Mathematics is to ask for the location of the oldest and most decrepit building on campus." "The production of a single scientist of first magnitude will have a greater impact on our civilization than the production of fifty mediocre Ph.D.'s." "Freedom is having the time to do research...Even in mathematics there are 'fashions'. This doesn't mean that the researcher is controlled by them. Many go their own way, ignoring the fashionable. That's part of the strength of a great university."
Author: Albert Soglin
Publisher:
ISBN:
Category :
Languages : en
Pages : 138
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Book Description
