Quaternary Quadratic Forms
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Quaternary Quadratic Forms
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Author : Gordon L. Nipp
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-08-07
Quaternary Quadratic Forms written by Gordon L. Nipp 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 1991-08-07 with Mathematics categories.
This book of tables includes a reduced representative of each class of. integral positive definite primitive quaternary quadratic forms through discriminant 1732. The classes are grouped into genera; also included are Hasse symbols, the number of automorphs and the level of each such form, and the mass of each genus. An appendix lists p-adic densities and p-adic Jordan splittings for each genus in the tables for p = 2 and for each odd prime p dividing the discriminant. The book is divided into several sections. The first, an introductory section, contains background material, an explanation of the techniques used to generate the information contained in the tables, a description of the format of the tables, some instructions for computer use, examples, and references. The next section contains a printed version of the tables through discriminant 500, included to allow the reader to peruse at least this much without the inconvenience of making his/her own hard copy via the computer. Because of their special interest, we include tables of discriminants 729 and 1729 at the end of this section. Limitations of space preclude publication of more than this in printed form. A printed appendix through discriminant 500 and for discriminants 729 and 1729 follows. The complete tables and appendix through discriminant 1732 are compressed onto the accompanying 3.5 inch disk, formatted for use in a PC-compatible computer and ready for research use particularly when uploaded to a mainframe. Documentation is included in the Introduction.
The Minima Of Indefinite Quaternary Quadratic Forms
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Author : Alexander Oppenheim
language : en
Publisher:
Release Date : 1931
The Minima Of Indefinite Quaternary Quadratic Forms written by Alexander Oppenheim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1931 with Forms, Quadratic categories.
Reduced Positive Quaternary Quadratic Forms
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Author : Stanmore Brooks Townes
language : en
Publisher:
Release Date : 1936
Reduced Positive Quaternary Quadratic Forms written by Stanmore Brooks Townes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1936 with Forms, Quadratic categories.
Almost Regular Quaternary Quadratic Forms
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Author : J. Bochnak
language : en
Publisher:
Release Date : 2007
Almost Regular Quaternary Quadratic Forms written by J. Bochnak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
The Determination Of Some Quaternary Quadratic Forms Which Represent All Positive Integers
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Author : Margaret Dunford
language : en
Publisher:
Release Date : 1940
The Determination Of Some Quaternary Quadratic Forms Which Represent All Positive Integers written by Margaret Dunford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1940 with categories.
Quaternary Quadratic Forms Of Discriminant 4p
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Author : Lisa Kaylor
language : en
Publisher:
Release Date : 2019
Quaternary Quadratic Forms Of Discriminant 4p written by Lisa Kaylor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Discriminant analysis categories.
Quaternion Algebras
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Author : John Voight
language : en
Publisher: Springer Nature
Release Date : 2021-06-28
Quaternion Algebras written by John Voight and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-28 with Mathematics categories.
This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature. Numerous pathways offer explorations in many different directions, while the unified treatment makes this book an essential reference for students and researchers alike. Divided into five parts, the book begins with a basic introduction to the noncommutative algebra underlying the theory of quaternion algebras over fields, including the relationship to quadratic forms. An in-depth exploration of the arithmetic of quaternion algebras and orders follows. The third part considers analytic aspects, starting with zeta functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unit groups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces. Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields. Graduate students interested in algebra, geometry, and number theory will appreciate the many avenues and connections to be explored. Instructors will find numerous options for constructing introductory and advanced courses, while researchers will value the all-embracing treatment. Readers are assumed to have some familiarity with algebraic number theory and commutative algebra, as well as the fundamentals of linear algebra, topology, and complex analysis. More advanced topics call upon additional background, as noted, though essential concepts and motivation are recapped throughout.
On The Number Of Representations By Positive Definite Integer Valued Quaternary Quadratic Forms
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Author : Haochen Wu
language : en
Publisher:
Release Date : 2021
On The Number Of Representations By Positive Definite Integer Valued Quaternary Quadratic Forms written by Haochen Wu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Let {Q1, Q2, . . . , Q[subscript s]} be a finite set of positive-definite integer-valued quaternary quadratic forms. We show that there exists a primitive positive-definite integer-valued quaternary quadratic form Q and a positive integer n such that Q represents n more times than Q[subscript i] for all 1 ≤ i ≤ s.
Modular Forms And Related Topics In Number Theory
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Author : B. Ramakrishnan
language : en
Publisher: Springer Nature
Release Date : 2020-11-24
Modular Forms And Related Topics In Number Theory written by B. Ramakrishnan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-24 with Mathematics categories.
This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10–14, 2018. The conference aimed at bringing the active number theorists and researchers in automorphic forms and allied areas to demonstrate their current research works. This book benefits young research scholars, postdoctoral fellows, and young faculty members working in these areas of research.
On The Determination Of The Universal Positive Quaternary Quadratic Forms
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Author : Nicholas J. Meyer
language : en
Publisher:
Release Date : 1995
On The Determination Of The Universal Positive Quaternary Quadratic Forms written by Nicholas J. Meyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.