RUS  ENG
Full version
JOURNALS // Matematicheskii Sbornik

Mat. Sb. (N.S.), 1977, Volume 103(145), Number 4(8), Pages 519–549 (Mi sm2925)

Eisenstein series on the symplectic group
V. L. Kalinin

This publication is cited in the following articles:
  1. Rafail Psyroukis, “Analytic properties of an orthogonal Fourier–Jacobi Dirichlet series”, Ramanujan J, 69:4 (2026)  crossref
  2. Keiichi Gunji, “On the functional equations of Siegel Eisenstein series of an odd prime level p”, Int. J. Number Theory, 21:07 (2025), 1513  crossref
  3. OLIVER STEIN, “ANALYTIC PROPERTIES OF EISENSTEIN SERIES AND STANDARD -FUNCTIONS”, Nagoya Math. J., 244 (2021), 168  crossref
  4. Shin-ichiro Mizumoto, “Functional equations of real analytic Jacobi Eisenstein series”, Abh. Math. Semin. Univ. Hambg., 89:1 (2019), 55  crossref
  5. Shuichi HAYASHIDA, “RANKIN-SELBERG METHOD FOR JACOBI FORMS OF INTEGRAL WEIGHT AND OF HALF-INTEGRAL WEIGHT ON SYMPLECTIC GROUPS”, Kyushu J. Math., 73:2 (2019), 391  crossref
  6. Shin-ichiro Mizumoto, “A Dirichlet series attached to three Siegel modular forms”, Abh. Math. Semin. Univ. Hambg., 87:1 (2017), 113  crossref
  7. Audrey Terras, Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations, 2016, 337  crossref
  8. Siegfried Böcherer, Francesco Ludovico Chiera, “On Dirichlet Series and Petersson Products for Siegel Modular Forms”, Annales de l'Institut Fourier, 58:3 (2008), 801  crossref
  9. S. Mizumoto, “Congruences for Fourier coefficients of lifted Siegel modular forms I: Eisenstein lifts”, Abh Math Semin Univ Hambg, 75:1 (2005), 97  crossref  mathscinet  zmath
  10. [Anonymous], “Non-Archimedean l-Functions and Arithmetical Siegel Modular Forms”, Non-Archimedean l-Functions and Arithmetical Siegel Modular Forms, 2nd Augmented Ed, Lecture Notes in Mathematics, 1471, Springer-Verlag Berlin, 2004, 13+  mathscinet  isi
  11. Beineke J., “Renormalization of Certain Integrals Defining Triple Product l-Functions”, Pac. J. Math., 203:1 (2002), 89–114  crossref  mathscinet  zmath  isi
  12. Shin-ichiro Mizumoto, “Special values of triple product L-Functions and nearly holomorphic Eisenstein series”, Abh Math Semin Univ Hambg, 70:1 (2000), 191  crossref  mathscinet
  13. S. Mizumoto, “Nearly holomorphic Eisenstein liftings”, Abh Math Semin Univ Hambg, 67:1 (1997), 173  crossref  mathscinet  zmath
  14. Shin-ichiro Mizumoto, “On integrality of Eisenstein liftings”, manuscripta math, 89:1 (1996), 203  crossref  mathscinet  zmath  isi
  15. S. Nagaoka, “Note on Siegel-Eisenstein series of low weight”, Abh Math Semin Univ Hambg, 66:1 (1996), 159  crossref  mathscinet  zmath
  16. W. Kohnen, “A remark on symplectic matrices”, Abh Math Semin Univ Hambg, 65:1 (1995), 239  crossref  mathscinet  zmath
  17. Hideshi TAKAYANAGI, “Vector valued Siegel modular forms and their L-functions; Application of a differential operator”, Jpn. j. math, 19:2 (1993), 251  crossref
  18. Shin-ichiro Mizumoto, “Eisenstein series for Siegel modular groups”, Math. Ann., 297:1 (1993), 581  crossref
  19. S. Nagaoka, “On Eisenstein series for the Hermitian modular groups and the Jacobi groups”, Abh Math Semin Univ Hambg, 62:1 (1992), 117  crossref  mathscinet  zmath
  20. Anton Deitmar, Aloys Krieg, “Theta correspondence for Eisenstein series”, Math Z, 208:1 (1991), 273  crossref  mathscinet  zmath  isi
  21. Panchishkin A., “Non-Archimedean l-Functions of Siegel and Hilbert Modular-Forms”, Lect. Notes Math., 1471 (1991), 1–154  crossref  mathscinet  isi
  22. Tadashi Yamazaki, “Rankin-Selberg method for Siegel cusp forms”, Nagoya Mathematical Journal, 120 (1990), 35  crossref
  23. Orloff T., “Special Values and Mixed Weight Triple Products”, Invent. Math., 90:1 (1987), 169–180  crossref  mathscinet  zmath  adsnasa  isi
  24. Blasius D., “Critical-Values of Certain Tensor Product l-Functions”, Invent. Math., 90:1 (1987), 181–188  crossref  mathscinet  zmath  adsnasa  isi
  25. Takakazu Satoh, “Some remarks on triple L-functions”, Math. Ann., 276:4 (1987), 687  crossref
  26. Rainer Weissauer, “Eisensteinreihen vom Gewichtn+1 zur Siegelschen Modulgruppen-ten Grades”, Math Ann, 268:3 (1984), 357  crossref  mathscinet  zmath  isi
  27. V. L. Kalinin, “Analytic properties of the convolution of Siegel modular forms of genus $n$”, Math. USSR-Sb., 48:1 (1984), 193–200  mathnet  crossref  mathscinet  zmath
  28. Ulrich Christian, “On the analytic continuation of Eisenstein series for Siegel's modular group of degreen”, Monatshefte f�r Mathematik, 96:2 (1983), 101  crossref
  29. Ulrich Christian, “Bemerkungen zu einer Arbeit von B. Diehl”, Abh Math Semin Univ Hambg, 52:1 (1982), 160  crossref  mathscinet  zmath
  30. A. N. Andrianov, V. L. Kalinin, “On the analytic properties of standard zeta functions of siegel modular forms”, Math. USSR-Sb., 35:1 (1979), 1–17  mathnet  crossref  mathscinet  zmath  isi
  31. V. A. Gritsenko, “Analytic continuation of symmetric squares”, Math. USSR-Sb., 35:5 (1979), 593–614  mathnet  crossref  mathscinet  zmath  isi


© Steklov Math. Inst. of RAS, 2026