Sum Formula for SL$_2$ over a Totally Real Number Field

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842021
Total Pages : 96 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Sum Formula for SL$_2$ over a Totally Real Number Field by : Roelof W. Bruggeman

Download or read book Sum Formula for SL$_2$ over a Totally Real Number Field written by Roelof W. Bruggeman and published by American Mathematical Soc.. This book was released on 2009-01-21 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms

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Publisher : American Mathematical Soc.
ISBN 13 : 0821887440
Total Pages : 144 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms by : Andrew Knightly

Download or read book Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms written by Andrew Knightly and published by American Mathematical Soc.. This book was released on 2013-06-28 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Conference on L-Functions

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Publisher : World Scientific
ISBN 13 : 981270504X
Total Pages : 383 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis The Conference on L-Functions by : Lin Weng

Download or read book The Conference on L-Functions written by Lin Weng and published by World Scientific. This book was released on 2007 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849034
Total Pages : 136 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities by : Marco Bramanti

Download or read book Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities written by Marco Bramanti and published by American Mathematical Soc.. This book was released on 2010 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: "March 2010, Volume 204, number 961 (end of volume)."

On the convergence of $\sum c_kf(n_kx)$

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Publisher : American Mathematical Soc.
ISBN 13 : 0821843249
Total Pages : 88 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis On the convergence of $\sum c_kf(n_kx)$ by : Istvan Berkes

Download or read book On the convergence of $\sum c_kf(n_kx)$ written by Istvan Berkes and published by American Mathematical Soc.. This book was released on 2009 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Heat Eisenstein Series on $\mathrm {SL}_n(C)$

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Publisher : American Mathematical Soc.
ISBN 13 : 0821840444
Total Pages : 146 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Heat Eisenstein Series on $\mathrm {SL}_n(C)$ by : Jay Jorgenson

Download or read book Heat Eisenstein Series on $\mathrm {SL}_n(C)$ written by Jay Jorgenson and published by American Mathematical Soc.. This book was released on 2009 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Yang-Mills Connections on Orientable and Nonorientable Surfaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821844911
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Yang-Mills Connections on Orientable and Nonorientable Surfaces by : Nan-Kuo Ho

Download or read book Yang-Mills Connections on Orientable and Nonorientable Surfaces written by Nan-Kuo Ho and published by American Mathematical Soc.. This book was released on 2009-10-08 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: In ``The Yang-Mills equations over Riemann surfaces'', Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory. In ``Yang-Mills Connections on Nonorientable Surfaces'', the authors study Yang-Mills functional on the space of connections on a principal $G_{\mathbb{R}}$-bundle over a closed, connected, nonorientable surface, where $G_{\mathbb{R}}$ is any compact connected Lie group. In this monograph, the authors generalize the discussion in ``The Yang-Mills equations over Riemann surfaces'' and ``Yang-Mills Connections on Nonorientable Surfaces''. They obtain explicit descriptions of equivariant Morse stratification of Yang-Mills functional on orientable and nonorientable surfaces for non-unitary classical groups $SO(n)$ and $Sp(n)$.

Invariant Representations of $\mathrm {GSp}(2)$ under Tensor Product with a Quadratic Character

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848224
Total Pages : 185 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Invariant Representations of $\mathrm {GSp}(2)$ under Tensor Product with a Quadratic Character by : Ping-Shun Chan

Download or read book Invariant Representations of $\mathrm {GSp}(2)$ under Tensor Product with a Quadratic Character written by Ping-Shun Chan and published by American Mathematical Soc.. This book was released on 2010 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 204, number 957 (first of 5 numbers)."

Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846531
Total Pages : 84 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models by : Pierre Magal

Download or read book Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models written by Pierre Magal and published by American Mathematical Soc.. This book was released on 2009 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several types of differential equations, such as delay differential equations, age-structure models in population dynamics, evolution equations with boundary conditions, can be written as semilinear Cauchy problems with an operator which is not densely defined in its domain. The goal of this paper is to develop a center manifold theory for semilinear Cauchy problems with non-dense domain. Using Liapunov-Perron method and following the techniques of Vanderbauwhede et al. in treating infinite dimensional systems, the authors study the existence and smoothness of center manifolds for semilinear Cauchy problems with non-dense domain. As an application, they use the center manifold theorem to establish a Hopf bifurcation theorem for age structured models.

Rock Blocks

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Publisher : American Mathematical Soc.
ISBN 13 : 0821844628
Total Pages : 117 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Rock Blocks by : Will Turner

Download or read book Rock Blocks written by Will Turner and published by American Mathematical Soc.. This book was released on 2009-10-08 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consider representation theory associated to symmetric groups, or to Hecke algebras in type A, or to $q$-Schur algebras, or to finite general linear groups in non-describing characteristic. Rock blocks are certain combinatorially defined blocks appearing in such a representation theory, first observed by R. Rouquier. Rock blocks are much more symmetric than general blocks, and every block is derived equivalent to a Rock block. Motivated by a theorem of J. Chuang and R. Kessar in the case of symmetric group blocks of abelian defect, the author pursues a structure theorem for these blocks.

The Recognition Theorem for Graded Lie Algebras in Prime Characteristic

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842269
Total Pages : 164 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Recognition Theorem for Graded Lie Algebras in Prime Characteristic by : Georgia Benkart

Download or read book The Recognition Theorem for Graded Lie Algebras in Prime Characteristic written by Georgia Benkart and published by American Mathematical Soc.. This book was released on 2009 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 197, number 920 (second of 5 numbers)."

Hypocoercivity

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Publisher : American Mathematical Soc.
ISBN 13 : 0821844989
Total Pages : 154 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Hypocoercivity by : CŽdric Villani

Download or read book Hypocoercivity written by CŽdric Villani and published by American Mathematical Soc.. This book was released on 2009-10-08 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir attempts at a systematic study of convergence to stationary state for certain classes of degenerate diffusive equations, taking the general form ${\frac{\partial f}{\partial t}}+ L f =0$. The question is whether and how one can overcome the degeneracy by exploiting commutators.

Asymptotic Expansions for Infinite Weighted Convolutions of Heavy Tail Distributions and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842595
Total Pages : 133 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Asymptotic Expansions for Infinite Weighted Convolutions of Heavy Tail Distributions and Applications by : Philippe Barbe

Download or read book Asymptotic Expansions for Infinite Weighted Convolutions of Heavy Tail Distributions and Applications written by Philippe Barbe and published by American Mathematical Soc.. This book was released on 2009 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: "January 2009, volume 197, number 922 (Fourth of five numbers)."

Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821844903
Total Pages : 176 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups by : Drew Armstrong

Download or read book Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups written by Drew Armstrong and published by American Mathematical Soc.. This book was released on 2009-10-08 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir is a refinement of the author's PhD thesis -- written at Cornell University (2006). It is primarily a desription of new research but also includes a substantial amount of background material. At the heart of the memoir the author introduces and studies a poset $NC^{(k)}(W)$ for each finite Coxeter group $W$ and each positive integer $k$. When $k=1$, his definition coincides with the generalized noncrossing partitions introduced by Brady and Watt in $K(\pi, 1)$'s for Artin groups of finite type and Bessis in The dual braid monoid. When $W$ is the symmetric group, the author obtains the poset of classical $k$-divisible noncrossing partitions, first studied by Edelman in Chain enumeration and non-crossing partitions.

Compactification of the Drinfeld Modular Surfaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842447
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Compactification of the Drinfeld Modular Surfaces by : Thomas Lehmkuhl

Download or read book Compactification of the Drinfeld Modular Surfaces written by Thomas Lehmkuhl and published by American Mathematical Soc.. This book was released on 2009-01-21 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article the author describes in detail a compactification of the moduli schemes representing Drinfeld modules of rank 2 endowed with some level structure. The boundary is a union of copies of moduli schemes for Drinfeld modules of rank 1, and its points are interpreted as Tate data. The author also studies infinitesimal deformations of Drinfeld modules with level structure.

Symplectic Actions of $2$-Tori on $4$-Manifolds

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847139
Total Pages : 96 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Symplectic Actions of $2$-Tori on $4$-Manifolds by : Alvaro Pelayo

Download or read book Symplectic Actions of $2$-Tori on $4$-Manifolds written by Alvaro Pelayo and published by American Mathematical Soc.. This book was released on 2010-02-22 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the author classifies symplectic actions of $2$-tori on compact connected symplectic $4$-manifolds, up to equivariant symplectomorphisms. This extends results of Atiyah, Guillemin-Sternberg, Delzant and Benoist. The classification is in terms of a collection of invariants of the topology of the manifold, of the torus action and of the symplectic form. The author constructs explicit models of such symplectic manifolds with torus actions, defined in terms of these invariants.

Ergodicity, Stabilization, and Singular Perturbations for Bellman-Isaacs Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847155
Total Pages : 90 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Ergodicity, Stabilization, and Singular Perturbations for Bellman-Isaacs Equations by : Olivier Alvarez

Download or read book Ergodicity, Stabilization, and Singular Perturbations for Bellman-Isaacs Equations written by Olivier Alvarez and published by American Mathematical Soc.. This book was released on 2010 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 204, number 960 (fourth of 5 numbers)."