Skip Navigation

International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn077, 23 pages, doi:10.1093/imrn/rnn077 published on July 24, 2008
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Raghuram, A.
Right arrow Articles by Shahidi, F.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

On Certain Period Relations for Cusp Forms on GLn

A. Raghuram1 and Freydoon Shahidi2

1 Department of Mathematics, Oklahoma State University, 401 Mathematical Sciences, Stillwater, OK 74078, USA
2 Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907, USA

Correspondence: Correspondence to be sent to: araghur{at}math.okstate.edu



References

  1. Blasius D. On the critical values of Hecke L-series. Annals of Mathematics (1986) 124(2):23–63.[CrossRef][ISI]
  2. Blasius D. "Period relations and critical values of L-functions." Special issue. Olga Taussky-Todd: In Memoriam. Pacific Journal of Mathematics (1997) 53–83.
  3. Borel A. Cohomologie de SLn et valeurs de fonctions zeta aux points entiers. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1977) 4(no. 4):613–36.
  4. Borel A. Regularization theorems in Lie algebra cohomology. Applications. Duke Mathematical Journal (1983) 50(3):605–23.[CrossRef][ISI]
  5. Borel A., Jacquet H. Automorphic Forms and Automorphic Representations. Automorphic Forms, Representations and L-Functions (1979) part 1, 189–207. Proceedings of Symposia in Pure Mathematics XXXIII. Providence, RI: American Mathematical Society.
  6. Borel A., Wallach N. Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups (2000) 2nd ed. Providence, RI: American Mathematical Society. Mathematical Surveys and Monographs 67.
  7. Clozel L. "Motifs et formes automorphes: applications du principe de fonctorialité" [Motives, Automorphic Forms: Applications of the Functoriality Principle]. In: Automorphic Forms, Shimura Varieties, and L-Functions (1990) vol. 1. Boston, MA: Academic Press. 77–159. Perspectives in Mathematics 10.
  8. Deligne P. Valeurs de fonctions Let périodes d’intégrales. Automorphic Forms, Representations and L-Functions (1979) part 2, 313–46. Proceedings of Symposia in Pure Mathematics XXXIII. Providence, RI: American Mathematical Society.
  9. Godement R. Notes on Jacquet–Langlands’ Theory. (1970) Princeton, NJ: Institute for Advanced Study.
  10. Harder G. General Aspects in the Theory of Modular Symbols (1983) Boston, MA: Birkhäuser Boston. 73–88. Progress in Mathematics 38.
  11. Hida H. Non-Critical Values of Adjoint L-Functions for SL(2). In: Automorphic Forms, Automorphic Representations, and Arithmetic (1999) Providence, RI: American Mathematical Society. 123–75. Proceedings of Symposia in Pure Mathematics 66, part 1.
  12. Jacquet H., Piatetski-Shapiro I., Shalika J. Conducteur des représentations du groupe linéaire" [Conductor of linear group representations]. Mathematische Annalen (1981) 256(no. 2):199–214.[CrossRef][ISI]
  13. Labesse J.-P., Schwermer J. On liftings and cusp cohomology of arithmetic groups. Inventiones Mathematicae (1986) 83(2):383–401.[CrossRef][ISI]
  14. Mahnkopf J. Cohomology of arithmetic groups, parabolic subgroups and the special values of L-functions of GLn. Journal of the Institute of Mathematics of Jussieu (2005) 4(4):553–637.[CrossRef][ISI]
  15. Murty V. K., Ramakrishnan D. Period relations and the Tate conjecture for Hilbert modular surfaces. Inventiones Mathematicae (1987) 89(2):319–45.[CrossRef][ISI]
  16. Panchishkin A. A. Motives over totally real fields and p-adic L-functions. Annales de l’Institute Fourier (Grenoble) (1994) 44(4):989–1023.
  17. Raghuram A., Shahidi F. Functoriality and Special Values of L-Functions. (2008) Boston, MA: Birkhäuser Boston. Eisenstein Series and Applications. Progress in Mathematics 258.
  18. Shimura G. The special values of the zeta functions associated with cusp forms. Communications on Pure and Applied Mathematics (1976) 29(6):783–804.[CrossRef][ISI]
  19. Tate J. Fourier Analysis in Number Fields and Hecke's Zeta Function. In: Algebraic Number Theory—Cassels J. W. S., Frohlich A., eds. (1967) Washington, DC: Thompson. 305–47.
  20. Waldspurger J.-L. Quelques propriétés arithmétiques de certaines formes automorphes sur GL(2)" [Some arithmetical properties of certain automorphic forms on GL(2)]. Compositio Mathematicae (1985) 54(no. 2):121–71.

Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?



This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Raghuram, A.
Right arrow Articles by Shahidi, F.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?