Sum Formula For Sl2 Over A Totally Real Number Field
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Sum Formula for SL2 Over a Totally Real Number Field
Author | : Roelof W. Bruggeman,Roberto J. Miatello |
Publsiher | : American Mathematical Soc. |
Total Pages | : 81 |
Release | : 2009-01-21 |
Genre | : Mathematics |
ISBN | : 9780821842027 |
Download Sum Formula for SL2 Over a Totally Real Number Field Book in PDF, Epub and Kindle
The authors prove a general form of the sum formula $\mathrm{SL}_2$ over a totally real number field. This formula relates sums of Kloosterman sums to products of Fourier coefficients of automorphic representations. The authors give two versions: the spectral sum formula (in short: sum formula) and the Kloosterman sum formula. They have the independent test function in the spectral term, in the sum of Kloosterman sums, respectively.
The Conference on L Functions
Author | : Lin Weng,Masanobu Kaneko |
Publsiher | : World Scientific |
Total Pages | : 383 |
Release | : 2007 |
Genre | : Science |
ISBN | : 9789812705044 |
Download The Conference on L Functions Book in PDF, Epub and Kindle
This invaluable volume collects papers written by many of the world's top experts on L-functions. It not only covers a wide range of topics from algebraic and analytic number theories, automorphic forms, to geometry and mathematical physics, but also treats the theory as a whole. The contributions reflect the latest, most advanced and most important aspects of L-functions. In particular, it contains Hida's lecture notes at the conference and at the Eigenvariety semester in Harvard University and Weng's detailed account of his works on high rank zeta functions and non-abelian L-functions.
Kuznetsov s Trace Formula and the Hecke Eigenvalues of Maass Forms
Author | : Andrew Knightly,C. Li |
Publsiher | : American Mathematical Soc. |
Total Pages | : 132 |
Release | : 2013-06-28 |
Genre | : Mathematics |
ISBN | : 9780821887448 |
Download Kuznetsov s Trace Formula and the Hecke Eigenvalues of Maass Forms Book in PDF, Epub and Kindle
The authors give an adelic treatment of the Kuznetsov trace formula as a relative trace formula on $\operatorname{GL}(2)$ over $\mathbf{Q}$. The result is a variant which incorporates a Hecke eigenvalue in addition to two Fourier coefficients on the spectral side. The authors include a proof of a Weil bound for the generalized twisted Kloosterman sums which arise on the geometric side. As an application, they show that the Hecke eigenvalues of Maass forms at a fixed prime, when weighted as in the Kuznetsov formula, become equidistributed relative to the Sato-Tate measure in the limit as the level goes to infinity.
On the convergence of sum c kf n kx
Author | : Istvan Berkes,Michel Weber |
Publsiher | : American Mathematical Soc. |
Total Pages | : 88 |
Release | : 2009 |
Genre | : Convergence |
ISBN | : 9780821843246 |
Download On the convergence of sum c kf n kx Book in PDF, Epub and Kindle
Presents a general study of the convergence problem and intends to prove several fresh results and improve a number of old results in the field. This title studies the case when the nk are random and investigates the discrepancy the sequence (nkx) mod 1.
Non Divergence Equations Structured on Hormander Vector Fields Heat Kernels and Harnack Inequalities
Author | : Marco Bramanti |
Publsiher | : American Mathematical Soc. |
Total Pages | : 136 |
Release | : 2010 |
Genre | : Differential inequalities |
ISBN | : 9780821849033 |
Download Non Divergence Equations Structured on Hormander Vector Fields Heat Kernels and Harnack Inequalities Book in PDF, Epub and Kindle
"March 2010, Volume 204, number 961 (end of volume)."
On a Conjecture of E M Stein on the Hilbert Transform on Vector Fields
Author | : Michael Thoreau Lacey,Xiaochun Li |
Publsiher | : American Mathematical Soc. |
Total Pages | : 87 |
Release | : 2010 |
Genre | : Harmonic analysis |
ISBN | : 9780821845400 |
Download On a Conjecture of E M Stein on the Hilbert Transform on Vector Fields Book in PDF, Epub and Kindle
"Volume 205, number 965 (fourth of 5 numbers)."
Heat Eisenstein Series on mathrm SL n C
Author | : Jay Jorgenson,Serge Lang |
Publsiher | : American Mathematical Soc. |
Total Pages | : 146 |
Release | : 2009 |
Genre | : Decomposition |
ISBN | : 9780821840443 |
Download Heat Eisenstein Series on mathrm SL n C Book in PDF, Epub and Kindle
The purpose of this Memoir is to define and study multi-variable Eisenstein series attached to heat kernels. Fundamental properties of heat Eisenstein series are proved, and conjectural behavior, including their role in spectral expansions, are stated.
Composition Operators on Hardy Orlicz Spaces
Author | : Pascal Lefèvre |
Publsiher | : American Mathematical Soc. |
Total Pages | : 87 |
Release | : 2010 |
Genre | : Composition operators |
ISBN | : 9780821846377 |
Download Composition Operators on Hardy Orlicz Spaces Book in PDF, Epub and Kindle
"The authors investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Psi grows rapidly: compactness, weak compactness, to be p-summing, order bounded, ... , and show how these notions behave according to the growth of Psi. They introduce an adapted version of Carleson measure. They construct various examples showing that their results are essentially sharp. In the last part, they study the case of Bergman-Orlicz spaces."--Publisher's description.