scholarly journals PERIOD IDENTITIES OF CM FORMS ON QUATERNION ALGEBRAS

2020 ◽  
Vol 8 ◽  
Author(s):  
CHARLOTTE CHAN
Keyword(s):  
Direct Proof ◽  
Quadratic Extension ◽  
Automorphic Representation ◽  
The Other ◽  
Quaternion Algebras ◽  
Automorphic Induction

Waldspurger’s formula gives an identity between the norm of a torus period and an $L$ -function of the twist of an automorphic representation on GL(2). For any two Hecke characters of a fixed quadratic extension, one can consider the two torus periods coming from integrating one character against the automorphic induction of the other. Because the corresponding $L$ -functions agree, (the norms of) these periods—which occur on different quaternion algebras—are closely related. In this paper, we give a direct proof of an explicit identity between the torus periods themselves.

scholarly journals Role-Value Maps and General Concept Inclusions in the Minimal Description Logic with Value Restrictions or Revisiting Old Skeletons in the DL Cupboard

2020 ◽  
Vol 34 (3) ◽  
pp. 291-301
Author(s):  
Franz Baader ◽  
Clément Théron
Keyword(s):  
Description Logic ◽  
Direct Proof ◽  
General Concept ◽  
The Other ◽  
Other Hand ◽  
The One ◽  
Minimal Description ◽  
The Impact

Abstract We investigate the impact that general concept inclusions and role-value maps have on the complexity and decidability of reasoning in the description logic $$\mathcal{FL}_0$$ FL 0 . On the one hand, we give a more direct proof for ExpTime-hardness of subsumption w.r.t. general concept inclusions in $$\mathcal{FL}_0$$ FL 0 . On the other hand, we determine restrictions on role-value maps that ensure decidability of subsumption, but we also show undecidability for the cases where these restrictions are not satisfied.

scholarly journals Pseudotype Formation of Moloney Murine Leukemia Virus with Sendai Virus Glycoprotein F

1998 ◽  
Vol 72 (6) ◽  
pp. 5296-5302 ◽  
Author(s):  
Martin Spiegel ◽  
Michael Bitzer ◽  
Andrea Schenk ◽  
Heidi Rossmann ◽  
Wolfgang J. Neubert ◽  
...  
Keyword(s):  
Host Range ◽  
Murine Leukemia Virus ◽  
Sendai Virus ◽  
Mdck Cells ◽  
Leukemia Virus ◽  
Direct Proof ◽  
Hepatoma Cells ◽  
The Other ◽  
Moloney Murine Leukemia Virus ◽  
Murine Leukemia

ABSTRACT Mixed infection of cells with both Moloney murine leukemia virus (MoMLV) and related or heterologous viruses produces progeny pseudotype virions bearing the MoMLV genome encapsulated by the envelope of the other virus. In this study, pseudotype formation between MoMLV and the prototype parainfluenza virus Sendai virus (SV) was investigated. We report for the first time that SV infection of MoMLV producer cells results in the formation of MoMLV(SV) pseudotypes, which display a largely extended host range compared to that of MoMLV particles. This could be associated with SV hemagglutinin-neuraminidase (SV-HN) glycoprotein incorporation into MoMLV envelopes. In contrast, solitary incorporation of the other SV glycoprotein, SV fusion protein (SV-F), resulted in a distinct and narrow extension of the MoMLV host range to asialoglycoprotein receptor (ASGP-R)-positive cells (e.g., cultured human hepatoma cells). Since stably ASGP-R cDNA-transfected MDCK cells, but not parental ASGP-R-negative MDCK cells, were found to be transduced by MoMLV(SV-F) pseudotypes and transduction of ASGP-R-expressing cells was found to be inhibited by ASGP-R antiserum, a direct proof for the ASGP-R-restricted tropism of MoMLV(SV-F) pseudotypes was provided. Cultivation of ASGP-R-positive HepG2 hepatoma cells on Transwell-COL membranes led to a significant enhancement of MoMLV(SV-F) titers in subsequent flowthrough transduction experiments, thereby suggesting the importance of ASGP-R accessibility at the basolateral domain for MoMLV(SV-F) pseudotype transduction. The availability of such ASGP-R-restricted MoMLV(SV-F)-pseudotyped vectors opens up new perspectives for future liver-restricted therapeutic gene transfer applications.

scholarly journals Residues of intertwining operators for SO*6 as character identities

2010 ◽  
Vol 146 (3) ◽  
pp. 772-794 ◽  
Author(s):  
Freydoon Shahidi ◽  
Steven Spallone
Keyword(s):  
Quadratic Extension ◽  
The Other ◽  
Levi Subgroup ◽  
Intertwining Operators ◽  
Central Character ◽  
Supercuspidal Representation ◽  
Induced Representations ◽  
Intertwining Operator ◽  
Other Hand ◽  
Hilbert’S Theorem 90

AbstractWe show that the residue at s=0 of the standard intertwining operator attached to a supercuspidal representation π⊗χ of the Levi subgroup GL2(F)×E1 of the quasisplit group SO*6(F) defined by a quadratic extension E/F of p-adic fields is proportional to the pairing of the characters of these representations considered on the graph of the norm map of Kottwitz–Shelstad. Here π is self-dual, and the norm is simply that of Hilbert’s theorem 90. The pairing can be carried over to a pairing between the character on E1 and the character on E× defining the representation of GL2(F) when the central character of the representation is quadratic, but non-trivial, through the character identities of Labesse–Langlands. If the quadratic extension defining the representation on GL2(F) is different from E the residue is then zero. On the other hand when the central character is trivial the residue is never zero. The results agree completely with the theory of twisted endoscopy and L-functions and determines fully the reducibility of corresponding induced representations for all s.

scholarly journals Pengaruh Kualitas Pelayanan Jasa Perbankan Terhadap Loyalitas Nasabah Bank BJB Pada Kantor Cabang Pembantu Ujung Berung

KarismaPro ◽  
2021 ◽  
Vol 1 (2) ◽  
Author(s):  
Itto Turyandi
Keyword(s):  
Direct Proof ◽  
The Other ◽  
Coefficient Of Determination ◽  
Banking Service ◽  
Dependent Variables ◽  
Service Activities ◽  
Independent Variable ◽  
The Government ◽  
Research Type

Emulation in the existing banking world is very tightening, and with condition of market where consumer or in this case is client has some banking service choices which will be applied, this thing will make transfer of client becomes increasingly as usual out of one banks to bank the other. For the purpose is required hard work in maintaining client loyality, one of its way is by giving quality of banking service activities as good as possibly. Bank Jabar Banten (Bank BJB) be an bank institute owned by the Government of West Java and Banten which now becomes bank having scale national. In facing emulation in this banking world always does improvement of quality of banking service activities, peculiarly from tangible, empathy, reliability, responsiveness, until quality of service activities passed to client.This research aim to study influence quality of banking service activities to client loyality at Bank BJB assistant office of branch Ujung Berung. Variable involved in by this research consisted of independent variable that is quality of banking service activities (X) and its the dependent variables is client loyality (Y). Method applied is survey where information from respondent is collected direct inly place of case systematically, as a mean to knows and forecasts some behaviour aspects from the population. As for research type done is descriptive and verifikatif.Result of this research known that contribution joinly client loyality to quality of banking service activities from result of coefficient of determination has influence equal to 74.8% and 25.2% influenced by other factor of which is not discussed in this research. As for sub-variabel pawn quality of banking service activities has biggest influence to client loyality, and sub-variabel direct proof has smallest influence to client loyality. Based on result of research as a whole, inferential that quality of banking service activities of influential positive and strong to client loyality Bank BJB assistant office of branch Ujung Berung. This thing is because of client in general feels quality of banking service activities given Bank BJB have been maximum and good.

A direct proof of the Feferman-Vaught theorem and other preservation theorems in products

1991 ◽  
Vol 56 (2) ◽  
pp. 632-636 ◽  
Author(s):  
Yiannis Vourtsanis
Keyword(s):  
Direct Proof ◽  
The Other ◽  
Direct Products ◽  
First Order ◽  
New Methods ◽  
Preservation Theorems ◽  
Order Language ◽  
Reduced Products ◽  
The One ◽  
By Products

Here we give short and direct proofs of the Feferman-Vaught theorem and other preservation theorems in products of structures. In 1952, Mostowski [5] first showed the preservation of ≡ωω by direct powers of structures. Subsequently, in 1959, Feferman and Vaught [2] proved the preservation of ≡ωω by arbitrary direct products and also by reduced products with respect to cofinite filters. In 1962, Frayne, Morel and Scott [3] noticed that the results extend to arbitrary reduced products. In 1970, Barwise and Eklof [1] showed the preservation of ≡∞λ by products and in 1971 Malitz [4] showed the preservation of ≡κλ with κ strongly inaccessible (or ∞) by products. Below, we give short proofs of the above results. The ideas used here have initiated, in [7], [8], [9], [10], [11], the introduction of several new methods in the theory of products, which on the one hand give new, direct proofs of the known results in the area, including generalizations or strengthenings of some of those, and, on the other hand, give several new results as well in the theory of products and related areas.Below, L denotes a (first order) language, and by a structure we mean an L-structure. 0 and 1 denote the logically valid and false sentence, respectively. We may write ā ∈ A for ā ∈ An for some n. Also, the values 1 and 2 of a parameter l in the definitions below express a duality corresponding to disjunctive and conjunctive forms.

scholarly journals A Specialisation of the Bump–Friedberg L-function

2015 ◽  
Vol 58 (3) ◽  
pp. 580-595
Author(s):  
Nadir Matringe
Keyword(s):  
Integral Representation ◽  
Number Field ◽  
Direct Proof ◽  
Automorphic Representation ◽  
Simple Theory ◽  
Cuspidal Automorphic Representation

AbstractWe study the restriction of Bump–Friedberg integrals to affine lines {(s + α, 2s), s ∊ ℂ}. It has simple theory, very close to that of the Asai L-function. It is an integral representation of the product L(s + α, π)L(2s, Λ2, π), which we denote by Llin(s, π, α) for this abstract, when π is a cuspidal automorphic representation of GL(k, 𝔸) for 𝔸 the adeles of a number field. When k is even, we show that the partial L-function Llin,S(s, π, α) has a pole at 1/2 if and only if π admits a (twisted) global period. This gives a more direct proof of a theorem of Jacquet and Friedberg, asserting that π has a twisted global period if and only if L(α + 1/2, π) ≠ 0 and L(1, Λ2 , π) = ∞. When k is odd, the partial L-function is holmorphic in a neighbourhood of Re(s) ≥ 1/2 when Re(α) is ≥ 0.

Quadratic Forms of Type E6, E7 and E8

2017 ◽  
Author(s):  
Bernhard M¨uhlherr ◽  
Holger P. Petersson ◽  
Richard M. Weiss
Keyword(s):  
Quadratic Form ◽  
Division Algebra ◽  
Quadratic Forms ◽  
Quadratic Extension ◽  
The Other ◽  
Quadratic Space ◽  
Division Algebras ◽  
Arbitrary Characteristic ◽  
Definition Of ◽  
Quaternion Division Algebra

This chapter presents various results about quadratic forms of type E⁶, E₇, and E₈. It first recalls the definition of a quadratic space Λ‎ = (K, L, q) of type Eℓ for ℓ = 6, 7 or 8. If D₁, D₂, and D₃ are division algebras, a quadratic form of type E⁶ can be characterized as the anisotropic sum of two quadratic forms, one similar to the norm of a quaternion division algebra D over K and the other similar to the norm of a separable quadratic extension E/K such that E is a subalgebra of D over K. Also, there exist fields of arbitrary characteristic over which there exist quadratic forms of type E⁶, E₇, and E₈. The chapter also considers a number of propositions regarding quadratic spaces, including anisotropic quadratic spaces, and proves some more special properties of quadratic forms of type E₅, E⁶, E₇, and E₈.

Note on Centrobaric Shells

1897 ◽  
Vol 21 ◽  
pp. 117-118
Author(s):  
Tait
Keyword(s):  
Spherical Shell ◽  
Simple Proof ◽  
Surface Density ◽  
Natural Philosophy ◽  
Direct Proof ◽  
The Other ◽  
Internal Point ◽  
Other Hand ◽  
Internal Particle ◽  
As If

It is singular to observe the comparative ease with which elementary propositions in attraction can be proved by one of the obvious methods, while the proof by the other is tedious.Thus nothing can be simpler than Newton's proof that a uniform spherical shell exerts no gravitating force on an internal particle. But, so far as I know, there is no such simple proof (of a direct character) that the potential is constant throughout the interior.On the other hand the direct proof that a spherical shell, whose surface-density is inversely as the cube of the distance from an internal point, is centrobaric is neither short nor simple. (See, for instance, Thomson and Tait's Elements of Natural Philosophy, § 491.) But we may prove at once that its potential at external points is the same as if its mass were condensed at the internal point.

scholarly journals A local-global question in automorphic forms

2013 ◽  
Vol 149 (6) ◽  
pp. 959-995 ◽  
Author(s):  
U. K. Anandavardhanan ◽  
Dipendra Prasad
Keyword(s):  
Number Field ◽  
Automorphic Forms ◽  
Quadratic Extension ◽  
Automorphic Representation ◽  
Automorphic Representations ◽  
Formula One ◽  
Distinguished Representations ◽  
Analyze Period ◽  
Cuspidal Automorphic Representations ◽  
Periods Of Automorphic Forms

AbstractIn this paper, we consider the $\mathrm{SL} (2)$ analogue of two well-known theorems about period integrals of automorphic forms on $\mathrm{GL} (2)$: one due to Harder–Langlands–Rapoport about non-vanishing of period integrals on ${\mathrm{GL} }_{2} ({ \mathbb{A} }_{F} )$ of cuspidal automorphic representations on ${\mathrm{GL} }_{2} ({ \mathbb{A} }_{E} )$ where $E$ is a quadratic extension of a number field $F$, and the other due to Waldspurger involving toric periods of automorphic forms on ${\mathrm{GL} }_{2} ({ \mathbb{A} }_{F} )$. In both these cases, now involving $\mathrm{SL} (2)$, we analyze period integrals on global$L$-packets; we prove that under certain conditions, a global automorphic $L$-packet which at each place of a number field has a distinguished representation, contains globally distinguished representations, and further, an automorphic representation which is locally distinguished is globally distinguished.

scholarly journals THE TWISTED TENSOR L-FUNCTION OF GSp4

2012 ◽  
Vol 08 (02) ◽  
pp. 411-470
Author(s):  
JUSTIN YOUNG
Keyword(s):  
Integral Representation ◽  
Number Field ◽  
Absolute Convergence ◽  
Quadratic Extension ◽  
Automorphic Representation ◽  
Central Character ◽  
Euler Product ◽  
Local Integral ◽  
The Absolute

The author gives an integral representation for the twisted tensor L-function of a cuspidal, globally generic automorphic representation of GSp 4 over a quadratic extension E of a number field F with trivial central character. He proves the Euler product factorization of the global integral; computes the unramified L-factor via explicit branching from GL 4 to Sp 4 and shows it is equal to the normalized unramified local integral; and proves the absolute convergence and nonvanishing of all local integrals.

Sign in / Sign up

Export Citation Format

Share Document