4 edition of **Degree 16 standard L-function of GSp(2) x GSp(2)** found in the catalog.

- 180 Want to read
- 2 Currently reading

Published
**1996** by American Mathematical Society in Providence, R.I .

Written in English

- Automorphic functions.,
- L-functions.

**Edition Notes**

Other titles | Degree sixteen standard L-function of GSp(2) x GSp(2) |

Statement | Dihua Jiang. |

Series | Memoirs of the American Mathematical Society,, no. 588 |

Classifications | |
---|---|

LC Classifications | QA3 .A57 no. 588, QA353.A9 .A57 no. 588 |

The Physical Object | |

Pagination | viii, 196 p. ; |

Number of Pages | 196 |

ID Numbers | |

Open Library | OL984158M |

ISBN 10 | 0821804766 |

LC Control Number | 96021897 |

THE NATURE AMD FUNCTION OF THE ECSOMA IN TUBULOVESICULA LINDBERGI (HEMIURIDAE: PLATYHELMINTHES) by JOSEPH ^ LVSILVA , The U n i v e r s i t y of Dacca, A TED ;IN PARTIAL FULFILLMENT OF THE- REQUIREMENTS FOR THE DEGREE OF MASTER OF- SCIENCE i n THE DEPARTMENT OF ZOOLOGY We . This book covers the following three topics in a manner accessible to graduate students who have an understanding of algebraic number theory and scheme theoretic algebraic geometry: 1. An elementary construction of Shimura varieties as moduli of abelian schemes. 2. p-adic deformation theory of automorphic forms on Shimura varieties. 3. Abstract: For an elliptic curve E/Q, Birch and Swinnerton-Dyer conjecture predicts that the rank of Mordell-Weil group and the order of zero of L-function at s=1 are same. Gross-Zagier () computed L'(E/K,1) for certain elliptic curve E and imaginary quadratic extension K/Q and proves rank E(K) ≥ 1 if L(E/K,s) has simple zero at s=1: the. Amazon reports that the book What Color Is Your Parachute? = is=20 the world's most popular job-hunting guide, with more than ten million = copies=20 sold since its debut in It is described as a =E2=80=9Cpractical = manual for=20 job-hunters and career-changers.=E2=80=9D It focuses on finding = your passion and=20 identifying skills you.

06 16, A. Kapustin: “Gauge theory, mirror symmetry, and the geometric Langlands program, III” 06 16, J. Brodzki: “Analysis and geometry of discrete groups” 06 19, T. Curtright: “Imaginary Liouville theory” 06 20, M. Hager: “Semiclassical spectral instability of non-selfadjoint operators”.

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Get this from a library. Degree 16 standard L-function of GSp(2) x GSp(2). [Dihua Jiang] -- This memoir offers, via the Rankin-Selberg method, a thorough and comprehensive examination of the degree 16 standard L-function of the product of two rank.

This book offers, via the Rankin-Selberg method, a thorough and comprehensive examination of the degree 16 standard L-function of the product of two rank two symplectic similitude groups, which includes the study of the global integral of Rankin-Selberg type and local integrals, analytic properties of certain Eisenstein series of symplectic Author: Dihua Jiang.

Genre/Form: Electronic books: Additional Physical Format: Print version: Jiang, Dihua. Degree 16 standard L-function of GSp(2) x GSp(2) / Material Type. This book offers, via the Rankin-Selberg method, a thorough and comprehensive examination of the degree 16 standard L-function of the product of two rank two symplectic similitude groups, which includes the study of the global integral of Rankin-Selberg type and local integrals, analytic properties of certain Eisenstein series of symplectic.

American Mathematical Society Charles Street Providence, Rhode Island or AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and services marks of the American Mathematical Society and registered in the U.S.

Patent and Trademark Cited by: 2. Degree 16 Standard L-Function of Gsp(2) X Gsp(2) (Memoirs of the American Mathematical Society) Oct 1, by Dihua Jiang Hardcover.

$ More Information Are you an author. Visit Author Central to change your photo, edit your. The object of this article is to construct certain classes of arithmetically significant, holomorphic Siegel cusp forms F of genus 2, which are neither of Saito-Kurokawa type, in which case the.

The L-function of degree 16 in Conjecture is related to the tensor product L-function in [Jia96]. In the example of Remark it coincides with the product of two shifted L-functions of.

On L-functions for GSp(4) X GL(2) and their special values. On L-functions for GSp(4) X GL(2) and their special values.

Furusawa, Masaaki Introduction The purpose of this paper is to present a new integral representation of a degree eight L-function for GSp(4) x GL(2). In principle our method always works when both forms correspond to holomorphic. Theorem we will obtain an integral representation for the degree-8 L-function L(s,πF ×τf) of GSp(4)× GL(2), where F is a vector-valued holomorphic Siegel modular cusp form of degree 2 (with respect to the full modular group) and fis an elliptic Maaß cusp form (of arbitrary level).

The integral representation isFile Size: KB. In our earlier paper, based on a paper by Bump and Ginzburg, we used an Eisenstein series on the double cover of $${\\text {GL}}(r)$$ GL (r) to obtain an integral representation of the twisted symmetric square L-function of $${\\text {GL}}(r)$$ GL (r).

Using that, we showed that the Degree 16 standard L-function of GSp book twisted symmetric square L-function of $${\\text Cited by: 6. We develop explicit formulas for Hecke operators of higher genus in terms of spherical coordinates. Applications are given to summation of various generating series with coefficients in local Hecke algebras and in a tensor product of such algebras.

In particular, we formulate and prove Rankin’s lemma in genus by: 1. To show that these are equal for each relevant Weyl groups element, the authors compute the Mellin transforms and match them in all cases.

The authors also describe the L-function heuristics which motivate this work, its possible generalizations, and an application of the relative trace formula to the study of L-packets.

p-adic L-functions for GSp(4) x GL (2). Agarwal, Mahesh K. In this thesis we construct a p-adic analog of a degree eight L-function L(s,Fxf) where F is an ordinary holomorphic degree 2 Degree 16 standard L-function of GSp book eigen cusp form of level a power of p and f is an ordinary eigen cusp form of level a power of by: 6.

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seminar, TU Darmstadt (Germany), 4. Interactive open source e-book: Lectures on Linear Algebra, International Con-ference of Mathematical Sciences, Istanbul (Turkey), 5.

On the standard L-function attached to Jacobi forms of higher index, Ecole d’Et e ZetasUniversit e Savoie Mont Blanc (France), File Size: KB. Pitale et al. Notation Let G = GSp 4 be the group of symplectic similitudes of semisimple rank 2, deﬁned by GSp 4={g ∈ GL: t gJg= μ(g)J,μ(g) ∈ GL1}, where J = −12 0 Here, μ is called the similitude character.

Let Sp 4 ={g ∈ GSp 4: μ(g) = 1}.TheSiegel parabolic subgroup P of GSp 4 consists of matrices whose lower left 2×2-block is zero. Its unipotentradicalU. p (ν)×AI(χ)p) is the local p-factor of the GSp2 ×GL2 convolution L-function (degree 8) and L(s,πur p (ν),Ad) is the local p-factor of the adjoint L-function of GSp2 (degree 10).

Let X0+ p denote the set of ν∈ Xp such that πur p (ν) is unitarizable. Note that X0+ p is a relatively compact subset of Xp and X0p ⊂ X0+ p. SinceAuthor: Masao Tsuzuki. L-function in the spirit of Deligne’s conjecture is proved. 1 Introduction Let Fbe a number eld and A its ring of adeles.

Let ˇbe a cuspidal, automorphic representation of GSp 4 (A), and let ˝be a cuspidal, automorphic representation of GL 2(A). In his paper [7], Furusawa has obtained an integral representation for the GSp 4 GL.

Integral representation for L-functions for GSp 4 ×GL 2, II Ameya Pitale1, Ralf Schmidt2 Abstract. Based on Furusawa’s theory [7], we present an integral representation for the L-function L(s,π×τ), where π is a cuspidal automorphic representation on GSp 4 related to a holomorphic Siegel modular form, and where τ is an arbitrary cuspidal.

Abstract. We prove an algebraicity result for the central critical value of certain Rankin–Selberg L-functions for GL n × GL n− is a generalization and refinement of the results of Harder [], Kazhdan, Mazur, and Schmidt [], and Mahnkopf [].As an application of this result, we prove algebraicity results for certain critical values of the fifth and the seventh Cited by: Profit and Loss Statement (P&L): A profit and loss statement (P&L) is a financial statement that summarizes the revenues, costs and expenses incurred during a.

2 SPHERICAL BESSEL FUNCTIONS 4 unipotent radical U consists of all elements of the block form 1 X 1, where Xis symmetric.

The standard Levi component M of P consists of all elements A utA 1 with u2GL1 and A2GL2. Over the real numbers, we have the identity component G(R)+:= fg2GSp 4(R): (g) >0g. Let H2 be the Siegel upper half space of degree 2. Hence, an element Cited by: 2.

Local and global Maass relations Ameya Pitale, Abhishek Saha and Ralf Schmidt Abstract. We characterize the irreducible, admissible, spherical representations of GSp 4 (F) (where Fis a p-adic eld) that occur in certain CAP representations in terms of relations satis ed by their spherical vector in a special Bessel model.

As the partial standard L-function ζ S (Π ′, χ 0, s) of Π ′ has a pole at s = 1, by Theorem of and Section 5 of, Π ′ is a global theta lift from a representation of G O (V), where V is a 4-dimensional quadratic space over a corresponding discriminant algebra L; this is Author: Konstantinos Tsaltas, Frazer Jarvis.

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1 INTRODUCTION 3 with even kthere exists a cuspidal Siegel eigenform Fof weight ksuch that its spin L-function is given by L(s;F) = L(s;f) (s k+1) (s k+2)."In this case the Fourier coe cients of F are not readily available.

At the very least, one would like to know that the Fourier coe cients of the modular form F constructed in the representation theoretic way satisfy the Maass relations.

I have been reading the book "Automorphic forms and Lie superalgebras". In SectionDefinition we have the definition of Category O for BKM Lie superalgebras (I have also checked the book.

This volume uses a unified approach to representation theory and automorphic forms. The invited papers, written by leading mathematicians, track recent progress in the ever expanding fields of representation theory and automorphic forms, and their association with number theory and differential geometry.

(The latter language has now been abandoned). Gradually, IHES published two annual volumes totalling pages. Sincethe journal has had a circulation of printed copies. It is also available on line and on Les Publications mathématiques de l’IHES is an international journal publishing papers of highest scientific level.

Q&A for professional mathematicians. Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange. L-function of GL(r) is holomorphic for Re(s) > 1. In this paper, we will determine the possible poles of this Eisenstein series more precisely and show that the (incomplete) twisted symmetric square L-function is entire except possible simple poles at s = 0 and s = 1.

Introduction Let ˇ˘= 0. Inthe international Iwasawa conference takes place in Bordeaux, from June 24 to It will be preceded by four mini-courses (of four hours each) on the topic.

Please note that registration is free, but required. The deadline is March 31st. For students applying for financial support, please write us before February 20th.

Mini-courses (June 19 to 22): 1. Venkatesh's conjecture for. Bump has found a R a n k i n Selberg convolution representing the " s p i n " L-function (an Euler product of degree eight) associated with a generic form on GSp(6).

Ginzburg has obtained convolutions representing standard L-functions associated with generic forms on GL(r) x G, where G = SO(2n) or SO(2n + 1), and r Cited by: of this book was inspired by [K13] in the ﬁrst place).

Inwe express the logarithm of the L-function of the intersection complex at a ﬁnite place above a big enough prime number as a sum (a priori with complex coeﬃcients) of logarithms of local L-functions of automorphic representations of unitary groups. 5(Q) and the Computation of Paramodular Forms by Watson Bernard Ladd Doctor of Philosophy in Mathematics University of California, Berkeley Professor Kenneth Ribet, Chair This dissertation describes a result that compares two level subgroups on di erent inner forms of GSp(4), and then uses this result and a conjecture of Ibukiyama’s to compute.

Full text of "The Contest Problem Book V " See other formats. Kato’s dual exponential maps of our Iwasawa class to certain values of the complex spin L-function. One should also be able to calculate the complex regulator of the motivic classes in terms of the complex spin L-function using the techniques of [Kin98] and [Lem17].

We are at the moment work-ing on some of these points and we expect this work. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them., Free ebooks since THEORY OF THE SIEGEL MODULAR VARIETY standard parabolic group.

Indeed, T is deﬁned to be the subgroup consisting of diagonal matrices in ∆ g and M = ˆ A 0 0 D ∈∆ g ˙ is the Levi subgroup of the parabolic subgroup ˆ A B 0 D ∈∆ g ˙. Let Ybe the co-character group of T, i.e., Y = Hom(G m,T).We deﬁne the local Hecke algebra H.

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Soc., p. [, ].Endoscopy Theory of Automorphic Forms L-function associated with a non trivial character χ admits a holomorphic con-tinuation. This property of holomorphicity was a key point in Dirichlet’s proof for the inﬁniteness of prime numbers in an arithmetic progression.

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