Full Read and Download Reference eBook
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 version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Relations Between Fourier Coefficients Of Nonholomorphic Hilbert Modular Forms Of Half Integral Weight And Special Values Of Dirichlet Series book. This book definitely worth reading, it is an incredibly well-written.
Author : Kamal Khuri-Makdisi
Publisher :
Page : 156 pages
File Size : 29,71 MB
Release : 1993
Category :
ISBN :
Author : N.E. Hurt
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 28,78 MB
Release : 2013-03-14
Category : Mathematics
ISBN : 9401587922
4. 2 Variance of Quantum Matrix Elements. 125 4. 3 Berry's Trick and the Hyperbolic Case 126 4. 4 Nonhyperbolic Case . . . . . . . 128 4. 5 Random Matrix Theory . . . . . 128 4. 6 Baker's Map and Other Systems 129 4. 7 Appendix: Baker's Map . . . . . 129 5 Error Terms 133 5. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 133 5. 2 The Riemann Zeta Function in Periodic Orbit Theory 135 5. 3 Form Factor for Primes . . . . . . . . . . . . . . . . . 137 5. 4 Error Terms in Periodic Orbit Theory: Co-compact Case. 138 5. 5 Binary Quadratic Forms as a Model . . . . . . . . . . . . 139 6 Co-Finite Model for Quantum Chaology 141 6. 1 Introduction. . . . . . . . 141 6. 2 Co-finite Models . . . . . 141 6. 3 Geodesic Triangle Spaces 144 6. 4 L-Functions. . . . . . . . 145 6. 5 Zelditch's Prime Geodesic Theorem. 146 6. 6 Zelditch's Pseudo Differential Operators 147 6. 7 Weyl's Law Generalized 148 6. 8 Equidistribution Theory . . . . . . . . . 150 7 Landau Levels and L-Functions 153 7. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 153 7. 2 Landau Model: Mechanics on the Plane and Sphere. 153 7. 3 Landau Model: Mechanics on the Half-Plane 155 7. 4 Selberg's Spectral Theorem . . . . . . . . . . . 157 7. 5 Pseudo Billiards . . . . . . . . . . . . . . . . . 158 7. 6 Landau Levels on a Compact Riemann Surface 159 7. 7 Automorphic Forms . . . . . 160 7. 8 Maass-Selberg Trace Formula 162 7. 9 Degeneracy by Selberg. . . . 163 7. 10 Hecke Operators . . . . . . . 163 7. 11 Selberg Trace Formula for Hecke Operators 167 7. 12 Eigenvalue Statistics on X . . . . 169 7. 13 Mesoscopic Devices. . . . . . . . 170 7. 14 Hall Conductance on Leaky Tori 170 7.
Author :
Publisher :
Page : 738 pages
File Size : 35,36 MB
Release : 1993
Category : Dissertations, Academic
ISBN :
Author : Jan Hendrik Bruinier
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 37,2 MB
Release : 2008-02-10
Category : Mathematics
ISBN : 3540741194
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 :
Publisher :
Page : 796 pages
File Size : 26,3 MB
Release : 1992
Category : Dissertation abstracts
ISBN :
Author :
Publisher :
Page : 1770 pages
File Size : 46,15 MB
Release : 2004
Category : Mathematics
ISBN :
Author : W. Kohnen
Publisher :
Page : 39 pages
File Size : 50,35 MB
Release : 1984
Category :
ISBN :
Author : William Duke
Publisher : American Mathematical Soc.
Page : 270 pages
File Size : 48,63 MB
Release : 2007
Category : Mathematics
ISBN : 9780821843079
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 : Peter L. Walker
Publisher :
Page : 208 pages
File Size : 35,74 MB
Release : 1986-06-03
Category : Mathematics
ISBN :
In this book, the author has drawn on his considerable experience of teaching analysis to give a concise explanation of the theory of Fourier series and integrals.
Author : Jan H. Bruinier
Publisher : Springer
Page : 159 pages
File Size : 17,85 MB
Release : 2004-10-11
Category : Mathematics
ISBN : 3540458727
Around 1994 R. Borcherds discovered a new type of meromorphic modular form on the orthogonal group $O(2,n)$. These "Borcherds products" have infinite product expansions analogous to the Dedekind eta-function. They arise as multiplicative liftings of elliptic modular forms on $(SL)_2(R)$. The fact that the zeros and poles of Borcherds products are explicitly given in terms of Heegner divisors makes them interesting for geometric and arithmetic applications. In the present text the Borcherds' construction is extended to Maass wave forms and is used to study the Chern classes of Heegner divisors. A converse theorem for the lifting is proved.