Skip to main content
Log in

On the fundamental periods of automorphic forms of arithmetic type

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Eichler, M.: Allgemeine Kongruenzklasseneinteilungen der Ideale einfacher Algebren über algebraischen Zahlkörpern und ihreL-Reihen. J. Reine Angew. Math.179, 227–251 (1938)

    Google Scholar 

  2. Eilenberg, S.: Homology of spaces with operators. I. Trans. Am. Math. Soc.61, 378–417 (1947)

    Google Scholar 

  3. Matsushima, Y., Shimura, G.: On the cohomology groups attached to certain vector-valued differential forms on the product of the upper half planes. Ann. Math.78, 417–449 (1963)

    Google Scholar 

  4. Shimizu, H.: On zeta functions of quaternion algebras. Ann. Math.81, 166–193 (1965)

    Google Scholar 

  5. Shimura, G.: On certain zeta functions attached to two Hilbert modular forms I, II. Ann. Math.114, 127–164, 569–607 (1981)

    Google Scholar 

  6. Shimura, G.: The periods of certain automorphic forms of arithmetic type. J. Fac. Sci. Univ. Tokyo (Sect. IA)28, 605–632 (1982)

    Google Scholar 

  7. Shimura, G.: Algebraic relations between critical values of zeta functions and inner products. Am. J. Math.104, 253–285 (1983)

    Google Scholar 

  8. Shimura, G.: On Hilbert modular forms of half-integral weight. Duke Math. J.55, 765–838 (1987)

    Google Scholar 

  9. Shimura, G.: On the critical values of certain Dirichlet series and the periods of automorphic forms. Invent. math.94, 245–305 (1988)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Oblatum 6-X-1989

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shimura, G. On the fundamental periods of automorphic forms of arithmetic type. Invent Math 102, 399–428 (1990). https://doi.org/10.1007/BF01233433

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01233433

Keywords

Navigation