Distribution Of Integral Fourier Coefficients Of A Modular Form Of Half Integral Weight Modulo Primes PDF Download
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| Release | : 2007 |
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Download Distribution of Integral Fourier Coefficients of a Modular Form of Half Integral Weight Modulo Primes Book in PDF, ePub and Kindle
Recently, Bruinier and Ono classified cusp forms $f(z) := \sum_{n=0}^{\infty} a_f(n)q ^n \in S_{\lambda+1/2}(\Gamma_0(N), \chi)\cap \mathbb{Z}[[q]]$ that does not satisfy a certain distribution property for modulo odd primes $p$. In this paper, using Rankin-Cohen Bracket, we extend this result to modular forms of half integral weight for primes $p \geq 5$. As applications of our main theorem we derive distribution properties, for modulo primes $p\geq5$, of traces of singular moduli and Hurwitz class number. We also study an analogue of Newman's conjecture for overpartitions.
| Author | : W. Kohnen |
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| Total Pages | : 39 |
| Release | : 1984 |
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Download Fourier Coefficients of Modular Forms of Half-integral Weight Book in PDF, ePub and Kindle
| Author | : William Duke |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 270 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 9780821843079 |
Download Analytic Number Theory Book in PDF, ePub and Kindle
Articles in this volume are based on talks given at the Gauss-Dirichlet Conference held in Gottingen on June 20-24, 2005. The conference commemorated the 150th anniversary of the death of C.-F. Gauss and the 200th anniversary of the birth of J.-L. Dirichlet. The volume begins with a definitive summary of the life and work of Dirichlet and continues with thirteen papers by leading experts on research topics of current interest in number theory that were directly influenced by Gauss and Dirichlet. Among the topics are the distribution of primes (long arithmetic progressions of primes and small gaps between primes), class groups of binary quadratic forms, various aspects of the theory of $L$-functions, the theory of modular forms, and the study of rational and integral solutions to polynomial equations in several variables. Information for our distributors: Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
| Author | : Kamal Khuri-Makdisi |
| Publisher | : |
| Total Pages | : 156 |
| Release | : 1993 |
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Download Relations Between Fourier Coefficients of Nonholomorphic Hilbert Modular Forms of Half-integral Weight and Special Values of Dirichlet Series Book in PDF, ePub and Kindle
| Author | : Xiangdong Wang |
| Publisher | : |
| Total Pages | : 18 |
| Release | : 1993 |
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Download Fourier Coefficients of Cusp Forms with Half-integral Weight Book in PDF, ePub and Kindle
| Author | : Jan Hendrik Bruinier |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 273 |
| Release | : 2008-02-10 |
| Genre | : Mathematics |
| ISBN | : 3540741194 |
Download The 1-2-3 of Modular Forms Book in PDF, ePub and Kindle
This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.
| Author | : Henryk Iwaniec |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 615 |
| Release | : 2021-10-14 |
| Genre | : Education |
| ISBN | : 1470467704 |
Download Analytic Number Theory Book in PDF, ePub and Kindle
Analytic Number Theory distinguishes itself by the variety of tools it uses to establish results. One of the primary attractions of this theory is its vast diversity of concepts and methods. The main goals of this book are to show the scope of the theory, both in classical and modern directions, and to exhibit its wealth and prospects, beautiful theorems, and powerful techniques. The book is written with graduate students in mind, and the authors nicely balance clarity, completeness, and generality. The exercises in each section serve dual purposes, some intended to improve readers' understanding of the subject and others providing additional information. Formal prerequisites for the major part of the book do not go beyond calculus, complex analysis, integration, and Fourier series and integrals. In later chapters automorphic forms become important, with much of the necessary information about them included in two survey chapters.
| Author | : Bruce Berndt |
| Publisher | : CRC Press |
| Total Pages | : 368 |
| Release | : 2002-11-20 |
| Genre | : Mathematics |
| ISBN | : 1000065286 |
Download Surveys in Number Theory Book in PDF, ePub and Kindle
This volume, based on fourteen papers from the Millennial Conference on Number Theory, represents surveys of topics in number theory and provides an outlook into the future of number theory research. It serves as an inspiration to graduate students and as a reference for research mathematicians.
| Author | : Harry Dym |
| Publisher | : |
| Total Pages | : 312 |
| Release | : 1972 |
| Genre | : Mathematics |
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Download Fourier Series and Integrals Book in PDF, ePub and Kindle
| Author | : |
| Publisher | : |
| Total Pages | : 984 |
| Release | : 2007 |
| Genre | : Mathematics |
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Download Mathematical Reviews Book in PDF, ePub and Kindle
