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Note onp-adic Hermitian Eisenstein Series

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References

  1. S. Boecherer, über die Fourierkoeffizienten der Siegeischen Eisensteinreihen.Manuscripta Math. 45 (1984), 273–288.

    Article  MATH  MathSciNet  Google Scholar 

  2. H. Braun, Zur Theorie der hermiteschen Formen.Abh. Math. Sem. Univ. Hamburg 14 (1941), 61–150.

    Article  MathSciNet  Google Scholar 

  3. —, Hermitian modular functions I.Ann. of Math. 50 (1949), 827–855.

    Article  MathSciNet  Google Scholar 

  4. Y. Hironaka, Local zeta functions on Hermitian forms and its application to local densities.J. Number Theory 71 (1998), 40–64.

    Article  MATH  MathSciNet  Google Scholar 

  5. H. Katsurada andS. Nagaoka, On somep-adic properties of Siegel-Eisenstein series.J. Number Theory 104 (2004), 100–117.

    Article  MATH  MathSciNet  Google Scholar 

  6. A. Krieg, The Maass spaces on the Hermitian half-space of degree 2.Math. Ann. 289 (1991), 663–681.

    Article  MATH  MathSciNet  Google Scholar 

  7. S. Nagaoka, An explicit formula for Siegel series.Abh. Math. Sem. Univ. Hamburg 59 (1989), 235–262.

    Article  MATH  MathSciNet  Google Scholar 

  8. —, A remark on Serre’s example ofp-adic Eisenstein series.Math. Z. 235 (2000), 227–250.

    Article  MATH  MathSciNet  Google Scholar 

  9. —, Onp-adic Hermitian Eisenstein series.Proc. Amer. Math. Soc. 134 (2006), 2533–2540.

    Article  MATH  MathSciNet  Google Scholar 

  10. G. Otremba, Zur Theorie der hermiteschen Formen in imaginär-quadratischen Zahlkörpern.J. Reine Angew. Math. 249 (1971), 1–19.

    MATH  MathSciNet  Google Scholar 

  11. J.-P. Serre,Formes modulaires et fonction zêta p-adiques. Lecture Notes in Math.350, Springer, Berlin 1973, pp. 191–268.

    Google Scholar 

  12. G. Shimura, On Eisenstein series.Duke Math. J. 50 (1983), 417–76.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Kinki University, 577-8502, Higashi-Osaka, Japan

    T. Munemoto

  2. Department of Mathematics, Kinki University, 577-8502, Higashi-Osaka, Japan

    S. Nagaoka

Authors
  1. T. Munemoto
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  2. S. Nagaoka
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Correspondence to T. Munemoto or S. Nagaoka.

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Communicated by: R. Berndt

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Munemoto, T., Nagaoka, S. Note onp-adic Hermitian Eisenstein Series. Abh.Math.Semin.Univ.Hambg. 76, 247–260 (2006). https://doi.org/10.1007/BF02960867

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