Rankin–Selberg L-functions via good sections

2020 ◽  
Vol 32 (4) ◽  
pp. 1039-1074
Author(s):  
Yeongseong Jo
Keyword(s):  
Local Factors ◽  
Distinguished Representations ◽  
Selberg Integrals ◽  
Exterior Square

AbstractIn this article, we revisit Rankin–Selberg integrals established by Jacquet, Piatetski-Shapiro and Shalika. We prove the equality of Rankin–Selberg local factors defined with Schwartz–Bruhat functions and the factors attached to good sections, introduced by Piatetski-Shapiro and Rallis. Moreover, we propose a notion of exceptional poles in the framework of good sections. For cases of Rankin–Selberg, Asai and exterior square L-functions, the exceptional poles are consistent with well-known exceptional poles which characterize certain distinguished representations.

scholarly journals Kirillov models for distinguished representations

1989 ◽  
Vol 116 ◽  
pp. 89-110 ◽  
Author(s):  
Courtney Moen
Keyword(s):  
Linear Group ◽  
General Linear Group ◽  
Automorphic Forms ◽  
Principal Series ◽  
Weil Representation ◽  
Local Factors ◽  
Distinguished Representations ◽  
Group A ◽  
Local Representations ◽  
Covering Groups

In the theory of automorphic forms on covering groups of the general linear group, a central role is played by certain local representations which have unique Whittaker models. A representation with this property is called distinguished. In the case of the 2-sheeted cover of GL2, these representations arise as the the local components of generalizations of the classical θ-function. They have been studied thoroughly in [GPS]. The Weil representation provides these representations with a very nice realization, and the local factors attached to these representations can be computed using this realization. It has been shown [KP] that only in the case of a certain 3-sheeted cover do we find other principal series of covering groups of GL2 which have a unique Whittaker model. It is natural to ask if these distinguished representations also have a realization analgous to the Weil representation.

scholarly journals Multivariate Rankin–Selberg Integrals on GL4 and GU(2, 2)

2018 ◽  
Vol 61 (4) ◽  
pp. 822-835
Author(s):  
Aaron Pollack ◽  
Shrenik Shah
Keyword(s):  
Integral Representation ◽  
Integral Representations ◽  
Cusp Forms ◽  
Selberg Integral ◽  
Selberg Integrals ◽  
Exterior Square

AbstractInspired by a construction by Bump, Friedberg, and Ginzburg of a two-variable integral representation on GSp4 for the product of the standard and spin L-functions, we give two similar multivariate integral representations. The first is a three-variable Rankin–Selberg integral for cusp forms on PGL4 representing the product of the L-functions attached to the three fundamental representations of the Langlands L-group SL4(C). The second integral, which is closely related, is a two-variable Rankin–Selberg integral for cusp forms on PGU(2, 2) representing the product of the degree 8 standard L-function and the degree 8 exterior square L-function.

Comparative Clinical study of Jatyadi Taila and Jatyadi Ghrita in the management of Dushta Vrana

2018 ◽  
Vol 3 (3) ◽  
Author(s):  
Rajendra Joshi ◽  
N. B. Mashetti ◽  
Rakesh Kumar Gujar
Keyword(s):  
Clinical Study ◽  
Burning Sensation ◽  
Normal Process ◽  
Surgical Practice ◽  
Local Factors ◽  
Significant Difference ◽  
Comparative Clinical Study ◽  
Group A ◽  
Contaminated Wound ◽  
Group B

Dushta Vrana is a common and frequently encountered problem faced in surgical practice. The presence of Dushta Vrana worsens the condition of the patient with different complications and may become fatal. Local factors on wound like slough, infection and foreign body, affect the normal process of healing. A healthy wound in a normal body heals earlier with a minimum scar as compared to a contaminated wound. Therefore in this study all the efforts are made to make a Dushta Vrana into a Shuddha Vrana. Once the Vrana becomes Shuddha, Ropana of the Vrana will start. The objective of the study was to evaluate the clinical efficacy of Jatyadi Taila and Jatyadi Ghrita in Dushta Vrana. Clinically diagnosed 60 Patients of Dushta Vrana were randomly divided into two groups, each consisting of 30 Patients. Group A were treated with the Jatyadi Taila and Group B was treated by Jatyadi Ghrita. The results observed was based on the relief obtained on the subjective and objective parameters taken for consideration for this study viz, size of ulcer, discharge, smell, pain, burning sensation, itching and granulation were found significant (P Lass Than 0.05). On the basis of assessment criteria and overall result of treatment, the patients of Jatyadi Taila group showed better results when compared to Jatyadi Ghrita group. Even though statistically there is no much significant difference between the two groups, but by seeing the effect on individual parameters (subjective and objective) and over all response, Jatyadi Taila seems to be effective when compared to Jatyadi Ghrita. It is having more Ropana qualities when compared to Shodhana.

Movilidad laboral geográfica en un antiguo enclave minero. La inversión de un mercado de trabajo local

2016 ◽  
Vol 11 (18) ◽  
Author(s):  
Camilo Contreras Delgado
Keyword(s):  
Labor Market ◽  
Labor Markets ◽  
Economic History ◽  
Labor Mobility ◽  
Work Place ◽  
Local Labor Markets ◽  
Local Labor Market ◽  
Local Factors ◽  
The Social ◽  
History Of

Resumen:Este artículo examina los fa c t o res internos y externos a una localidad que son copartícipes en la estructuración y reestructuración de su mercado de trabajo local. A partir de la revisión de la historia social y económica del lugar, se destaca su tránsito de enclave minero a lugar de residencia de mineros y trabajadores de maquiladoras. En este caso, se presenta la constitución de los mercados de trabajo locales como un resultado del encuentro de las condiciones del lugar de residencia de los trabajadores y el lugar donde se encuentra el centro de trabajo. De aquí que la movilidad laboral geográfica aparezca como una de las tácticas de los sujetos ante una situación de desempleo.Palabras clave: Mercado de trabajo, Minería, Maquiladoras, Mineros, Movilidad laboral, Desempleo.Abstract:This article examines the internal and external local factors shaping the structuring and restructuring of a local labor market. By reviewing the social and economic history of the community, this article underlines its transition from a mining setting to a residence place for miners and maquila workers. In this case, the constitution of local labor markets is presented as a result of the condition encounter of both workers residence place and the location of the work place. This is a reason explaining why geographical labor mobility comes to be an actor tactic to face unemployment.Key words: Labor market, Mining, Export-oriented industry, Miners, Labor mobility, Unemployment.

scholarly journals Impacts of Synoptic and Local Factors on Heat Wave Events Over Southeastern Region of Korea in 2015

2018 ◽  
Vol 123 (21) ◽  
pp. 12,081-12,096 ◽  
Author(s):  
Donghyuck Yoon ◽  
Dong‐Hyun Cha ◽  
Gil Lee ◽  
Changyong Park ◽  
Myong‐In Lee ◽  
...  
Keyword(s):  
Heat Wave ◽  
Local Factors ◽  
Southeastern Region

Superstar Cities

2013 ◽  
Vol 5 (4) ◽  
pp. 167-199 ◽  
Author(s):  
Joseph Gyourko ◽  
Christopher Mayer ◽  
Todd Sinai
Keyword(s):  
Metropolitan Area ◽  
Metropolitan Areas ◽  
House Prices ◽  
Aggregate Demand ◽  
House Price ◽  
Lower Income ◽  
Local Factors ◽  
The Past ◽  
Long Run ◽  
Price Appreciation

We document large long-run differences in average house price appreciation across metropolitan areas over the past 50 years, and show they can be explained by an inelastic supply of land in some unique locations combined with an increasing number of highincome households nationally. The resulting high house prices and price-to-rent ratios in those “superstar” areas crowd out lower income households. The same forces generate a similar pattern among municipalities within a metropolitan area. These facts suggest that disparate local house price and income trends can be driven by aggregate demand, not just changes in local factors such as productivity or amenities. (JEL R11, R23, R31, R52)

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