Period invariants of Hilbert modular forms, II

Michael Harris

Compositio Mathematica (1994)

  • Volume: 94, Issue: 2, page 201-226
  • ISSN: 0010-437X

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Harris, Michael. "Period invariants of Hilbert modular forms, II." Compositio Mathematica 94.2 (1994): 201-226. <http://eudml.org/doc/90334>.

@article{Harris1994,
author = {Harris, Michael},
journal = {Compositio Mathematica},
keywords = {Hilbert modular forms; automorphic representations; -functions; theta functions},
language = {eng},
number = {2},
pages = {201-226},
publisher = {Kluwer Academic Publishers},
title = {Period invariants of Hilbert modular forms, II},
url = {http://eudml.org/doc/90334},
volume = {94},
year = {1994},
}

TY - JOUR
AU - Harris, Michael
TI - Period invariants of Hilbert modular forms, II
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 94
IS - 2
SP - 201
EP - 226
LA - eng
KW - Hilbert modular forms; automorphic representations; -functions; theta functions
UR - http://eudml.org/doc/90334
ER -

References

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  1. [B] D. Blasius: On the critical values of Hecke L-series, Ann. of Math.124 (1986) 23-63. Zbl0608.10029MR847951
  2. [GS] S. Gelbart and F. Shahidi: Analytic Properties of Automorphic L-Functions, Progress in Mathematics, New York: Academic Press (1988). Zbl0654.10028MR951897
  3. [H1] M. Harris: Automorphic forms and the cohomology of vector bundles on Shimura varieties. Proceedings of the Ann Arbor Conference in Mathematics, New York: Academic Press, vol. II (1989) 41-92. Zbl0716.14011MR1044828
  4. [H2] M. Harris: Automorphic forms of ∂-cohomology type as coherent cohomology classes. J. Diff. Geom.32 (1990) 1-63. Zbl0711.14012
  5. [H3] M. Harris: Period invariants of Hilbert modular forms, I, Lecture Notes in Math. 1447 (1990), 155-202. Zbl0716.11020MR1082965
  6. [H4] M. Harris: Non-vanishing of L-functions of 2 x 2 unitary groups, Forum Math.5 (1993) 405-419. Zbl0779.11024
  7. [H5] M. Harris: L-functions of 2 x 2 unitary groups and periods of Hilbert modular forms, J. Amer. Math.6 (1993) 637-719. Zbl0779.11023MR1186960
  8. [HK] M. Harris and S. Kudla: The central critical value of a triple product L-function, Ann. of Math.133 (1991) 605-672. Zbl0731.11031MR1109355
  9. [JL] H. Jacquet and R.P. Langlands, Automorphic Forms on GL(2), Lecture Notes in Math. 114 (1970). Zbl0236.12010MR401654
  10. [M] S. Martens: The character of holomorphic discrete series, Proc. Nat. Acad. Sci. USA72 (1975). Zbl0308.22013MR419687
  11. [O] T. Oda: On modular forms associated with indefinite quadratic forms of signature (2, n - 2), Math. Ann.231 (1977) 97-144. Zbl0346.10013MR466026
  12. [R] J. Repka: Tensor products of unitary representations of SL2(R), Amer. J. Math.100 (1978) 747-774. Zbl0402.22010MR509073
  13. [S1] G. Shimura: The arithmetic of certain zeta functions and automorphic forms on orthogonal groups, Ann. of Math.111 (1980) 313-375. Zbl0438.12003MR569074
  14. [S2] G. Shimura: On certain zeta functions attached to two Hilbert modular forms, II, Ann. of Math.114 (1981) 569-607. Zbl0486.10021MR634429
  15. [S3] G. Shimura: Algebraic relations between critical values of zeta functions and inner products, Amer. J. Math.105 (1983) 253-285. Zbl0518.10032MR692113

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