Dedekind Sums
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Dedekind Sums
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Author : Hans Rademacher
language : en
Publisher: American Mathematical Soc.
Release Date : 1972-12-31
Dedekind Sums written by Hans Rademacher and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-12-31 with MATHEMATICS categories.
These notes from Hans Rademacher's 1963 Hedrick Lectures have been gently polished and augmented by Emil Grosswald. While the topic itself is specialized, these sums are linked in diverse ways to many results in number theory, elliptical modular functions, and topology. The first main result is a surprising reciprocity law that is equivalent to the law of quadratic reciprocity.
Dedekind Sums
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Author : Simon Macourt
language : en
Publisher:
Release Date : 2015
Dedekind Sums written by Simon Macourt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Dedekind sums categories.
Dedekind sums arose out of the study of elliptic functions and modular forms. They were iniially discovered by Dedekind but have since been studied for their many arithmetic properties. Much work has been done on Dedekind sums and in 1972 Rademacher and Grosswald released a book that summarised much of what was known, as well as providing a history of Dedekind sums. This encouraged greater interest in this topic and provided groundwork for further research. In our essay we seek to update Rademacher and Grosswald's book by providing an overview of some of the research that has been done since its publication. We will also extend some results of Myerson and Phillips, regarding fixed points of Dedekind sums. It is our intention that our findings will provide a foundation for future research in the study of Dedekind sums.
Dedekind Sums By H Rademacher And E Grosswald
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Author : Hans Rademacher
language : en
Publisher:
Release Date :
Dedekind Sums By H Rademacher And E Grosswald written by Hans Rademacher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Dedekind sums categories.
A Congruence From Dedekind Sums
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Author :
language : en
Publisher:
Release Date : 1979
A Congruence From Dedekind Sums written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Dedekind sums categories.
Notes On Generalized Dedekind Sums
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Author : Donald E. Knuth
language : en
Publisher:
Release Date : 1975
Notes On Generalized Dedekind Sums written by Donald E. Knuth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Combinatorial number theory categories.
Generalized Dedekind sums sigma(h, k, c) have proved to be useful in connection with the analysis of linear congruential random number generators. This paper introduces a simple algorithm for the calculation of generalized Dedekind sums using only integer arithmetic. A second algorithm, for calculating the value of c which maximizes or minimizes sigma(h, k, c) when h and k are given, is used to deduce optimal a priori bounds on sigma(h, k, c). Finally the reciprocity law for Dedekind sums is shown to be a consequence of a much more general reciprocity law.
Analogues Of Dedekind Sums
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Author : Jeffrey Lyle Meyer
language : en
Publisher:
Release Date : 1997
Analogues Of Dedekind Sums written by Jeffrey Lyle Meyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
A Construction Of Q Analogue Of Dedekind Sums
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Author :
language : en
Publisher:
Release Date : 1907
A Construction Of Q Analogue Of Dedekind Sums written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1907 with categories.
A Study Of Dedekind Sums And Their Generalization
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Author : Tom Mike Apostol
language : en
Publisher:
Release Date : 1948
A Study Of Dedekind Sums And Their Generalization written by Tom Mike Apostol and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with categories.
A Congruence From Dedekind Sums
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Author : Kenneth H. Rosen
language : en
Publisher:
Release Date : 1979
A Congruence From Dedekind Sums written by Kenneth H. Rosen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Dedekind sums categories.
Generalized Dedekind Sums And Their Connection With Franel Integrals
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Author : Julia Carol Wilson
language : en
Publisher:
Release Date : 1993
Generalized Dedekind Sums And Their Connection With Franel Integrals written by Julia Carol Wilson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.