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On the Theory of Maass Wave Forms
  • Language: en
  • Pages: 527

On the Theory of Maass Wave Forms

This textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers will find this unified presentation invaluable, as it treats Maass wave forms as the central area of interest. Subjects at the cutting edge of research are explored in depth, such as Maass wave forms of real weight and the cohomology attached to Maass wave forms and transfer operators. Because Maass wave forms are given a deep exploration, this book offers an indispensable resource for those entering the field. Early chapters present a brief introduction to the theory of classical modular forms, with an emphasis on objects and results necessary to fully understand later material. Chapters 4 and ...

An Introductory Course in Elementary Number Theory
  • Language: en
  • Pages: 171

An Introductory Course in Elementary Number Theory

These notes serve as course notes for an undergraduate course in number theory. Most if not all universities worldwide offer introductory courses in number theory for math majors and in many cases as an elective course. The notes contain a useful introduction to important topics that need to be addressed in a course in number theory. Proofs of basic theorems are presented in an interesting and comprehensive way that can be read and understood even by non-majors with the exception in the last three chapters where a background in analysis, measure theory and abstract algebra is required. The exercises are carefully chosen to broaden the understanding of the concepts. Moreover, these notes shed light on analytic number theory, a subject that is rarely seen or approached by undergraduate students. One of the unique characteristics of these notes is the careful choice of topics and its importance in the theory of numbers. The freedom is given in the last two chapters because of the advanced nature of the topics that are presented.

Education Is Not an App
  • Language: en
  • Pages: 134

Education Is Not an App

Whilst much has been written about the doors that technology can open for students, less has been said about its impact on teachers and professors. Although technology undoubtedly brings with it huge opportunities within higher education, there is also the fear that it will have a negative effect both on faculty and on teaching standards. Education Is Not an App offers a bold and provocative analysis of the economic context within which educational technology is being implemented, not least the financial problems currently facing higher education institutions around the world. The book emphasizes the issue of control as being a key factor in whether educational technology is used for good pu...

Yearbook of International Religious Demography 2018
  • Language: en
  • Pages: 253

Yearbook of International Religious Demography 2018

  • Type: Book
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  • Published: 2018-07-03
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  • Publisher: BRILL

The Yearbook of International Religious Demography presents an annual snapshot of the state of religious statistics around the world (past, present, and future) in sets of tables and scholarly articles spanning social science, demography, history, and geography.

Advances in Cryptology - ASIACRYPT 2013
  • Language: en
  • Pages: 567

Advances in Cryptology - ASIACRYPT 2013

  • Type: Book
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  • Published: 2013-11-23
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  • Publisher: Springer

The two-volume set LNCS 8269 and 8270 constitutes the refereed proceedings of the 19th International Conference on the Theory and Application of Cryptology and Information, Asiacrypt 2013, held in Bengaluru, India, in December 2013. The 54 revised full papers presented were carefully selected from 269 submissions. They are organized in topical sections named: zero-knowledge, algebraic cryptography, theoretical cryptography, protocols, symmetric key cryptanalysis, symmetric key cryptology: schemes and analysis, side-channel cryptanalysis, message authentication codes, signatures, cryptography based upon physical assumptions, multi-party computation, cryptographic primitives, analysis, cryptanalysis and passwords, leakage-resilient cryptography, two-party computation, hash functions.

Vertex Operator Algebras, Number Theory and Related Topics
  • Language: en
  • Pages: 250

Vertex Operator Algebras, Number Theory and Related Topics

This volume contains the proceedings of the International Conference on Vertex Operator Algebras, Number Theory, and Related Topics, held from June 11–15, 2018, at California State University, Sacramento, California. The mathematics of vertex operator algebras, vector-valued modular forms and finite group theory continues to provide a rich and vibrant landscape in mathematics and physics. The resurgence of moonshine related to the Mathieu group and other groups, the increasing role of algebraic geometry and the development of irrational vertex operator algebras are just a few of the exciting and active areas at present. The proceedings center around active research on vertex operator algebras and vector-valued modular forms and offer original contributions to the areas of vertex algebras and number theory, surveys on some of the most important topics relevant to these fields, introductions to new fields related to these and open problems from some of the leaders in these areas.

Automorphic Forms and Related Topics
  • Language: en
  • Pages: 286

Automorphic Forms and Related Topics

This volume contains the proceedings of the Building Bridges: 3rd EU/US Summer School and Workshop on Automorphic Forms and Related Topics, which was held in Sarajevo from July 11–22, 2016. The articles summarize material which was presented during the lectures and speed talks during the workshop. These articles address various aspects of the theory of automorphic forms and its relations with the theory of L-functions, the theory of elliptic curves, and representation theory. In addition to mathematical content, the workshop held a panel discussion on diversity and inclusion, which was chaired by a social scientist who has contributed to this volume as well. This volume is intended for researchers interested in expanding their own areas of focus, thus allowing them to “build bridges” to mathematical questions in other fields.

The Life of Primes in 37 Episodes
  • Language: en
  • Pages: 329

The Life of Primes in 37 Episodes

This book is about the life of primes. Indeed, once they are defined, primes take on a life of their own and the mysteries surrounding them begin multiplying, just like living cells reproduce themselves, and there seems to be no end to it. This monograph takes the reader on a journey through time, providing an accessible overview of the numerous prime number theory problems that mathematicians have been working on since Euclid. Topics are presented in chronological order as episodes. These include results on the distribution of primes, from the most elementary to the proof of the famous prime number theorem. The book also covers various primality tests and factorisation algorithms. It is the...

Modular Forms
  • Language: en
  • Pages: 252

Modular Forms

Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to various subjects, such as the theory of quadratic forms, the proof of Fermat's Last Theorem and the approximation of π. The text gives a balanced overview of both the theoretical and computational sides of its subject, allowing a variety of courses to be taught from it. This second edition has been revised and updated. New material on the future of modular forms as well as a chapter about longer-form projects for students has also been added.

Acta Arithmetica
  • Language: en
  • Pages: 428

Acta Arithmetica

  • Type: Book
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  • Published: 2013
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  • Publisher: Unknown

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