scholarly journals Selberg super-trace formula for super Riemann surfaces II: Elliptic and parabolic conjugacy classes, and Selberg super-zeta functions

1993 ◽  
Vol 151 (1) ◽  
pp. 1-37 ◽  
Author(s):  
C. Grosche
Keyword(s):  
Trace Formula ◽  
Riemann Surfaces ◽  
Zeta Functions ◽  
Conjugacy Classes ◽  
Super Riemann Surfaces

Superinvolutions on super-Riemann surfaces and the supergeometry of type-I superstrings

1990 ◽  
Vol 248 (1-2) ◽  
pp. 67-72 ◽  
Author(s):  
Willem de Beer ◽  
André van Tonder ◽  
João P. Rodrigues
Keyword(s):  
Riemann Surfaces ◽  
Type I ◽  
Super Riemann Surfaces

scholarly journals Relating Weyl and diffeomorphism anomalies on super Riemann surfaces

1993 ◽  
Vol 10 (1) ◽  
pp. 1-18 ◽  
Author(s):  
Jean-P Ader ◽  
F Gieres ◽  
Y Noirot
Keyword(s):  
Riemann Surfaces ◽  
Super Riemann Surfaces

Shimura Varieties and the Selberg Trace Formula

1977 ◽  
Vol 29 (6) ◽  
pp. 1292-1299 ◽  
Author(s):  
R. P. Langlands
Keyword(s):  
Trace Formula ◽  
Automorphic Forms ◽  
Zeta Functions ◽  
Higher Dimensions ◽  
Shimura Varieties ◽  
Selberg Trace Formula ◽  
Work In Progress ◽  
Euler Products ◽  
Dimension One

This paper is a report on work in progress rather than a description of theorems which have attained their final form. The results I shall describe are part of an attempt to continue to higher dimensions the study of the relation between the Hasse-Weil zeta-functions of Shimura varieties and the Euler products associated to automorphic forms, which was initiated by Eichler, and extensively developed by Shimura for the varieties of dimension one bearing his name. The method used has its origins in an idea of Sato, which was exploited by Ihara for the Shimura varieties associated to GL(2).

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