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Integrality of critical values of triple product L-functions

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Analytic Number Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1434))

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References

  1. Böcherer, S., Über die Fourierkoeffizienten der Siegelschen Eisensteinreihen, Manuscripta Math., 45 (1984), 473–288.

    Article  MATH  Google Scholar 

  2. Garrett, P.B., Decomposition of Eisenstein series: Rankin triple products, Ann. Math., 125 (1987), 209–235.

    Article  MathSciNet  MATH  Google Scholar 

  3. Kohnen, W., Modular forms of half-integral weight on Γ0(4), Math. Ann., 248 (1980), 249–266.

    Article  MathSciNet  MATH  Google Scholar 

  4. Mizumoto, S., On integrality of certain algebraic numbers associated with modular forms, Math. Ann., 265 (1983), 119–135.

    Article  MathSciNet  MATH  Google Scholar 

  5. —, Congruences for eigenvalues of Hecke operators on Siegel modular forms of degree two, Math. Ann., 275 (1986), 149–161.

    Article  MathSciNet  MATH  Google Scholar 

  6. Orloff, T., Special values and mixed weight triple products, Invent. Math., 90 (1987), 169–180.

    Article  MathSciNet  MATH  Google Scholar 

  7. Satoh, T., Some remarks on triple L-functions, Math. Ann., 276 (1987), 687–698.

    Article  MathSciNet  MATH  Google Scholar 

  8. Shimura, G., The special values of the zeta functions associated with cusp forms, Comm. Pure Appl. Math., 29 (1976), 783–804.

    Article  MathSciNet  MATH  Google Scholar 

  9. Siegel, C.L., Ãœber die Fourierschen Koeffizienten der Eisensteinschen Reihen, Mat. Fys. Medd. Danske Vid. Selsk., 34 nr.6 (1964).

    Google Scholar 

  10. Zagier, D., Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields, Lecture Notes in Math., Vol. 627, pp. 105–169, Berlin, Heidelberg, New York: Springer 1977.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, 152, Tokyo, Japan

    Shin-ichiro Mizumoto

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  1. Shin-ichiro Mizumoto
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Kenji Nagasaka Etienne Fouvry

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© 1990 Springer-Verlag

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Mizumoto, Si. (1990). Integrality of critical values of triple product L-functions. In: Nagasaka, K., Fouvry, E. (eds) Analytic Number Theory. Lecture Notes in Mathematics, vol 1434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097135

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  • DOI: https://doi.org/10.1007/BFb0097135

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52787-9

  • Online ISBN: 978-3-540-47147-9

  • eBook Packages: Springer Book Archive

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