L-parameters, local factors and zeta integrals

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Books (1)

• Degree $16$ standard $L$-function of ${rm GSp}(2)times {rm GSp}(2)$ [726]
• Dihua Jiang
• Mem. Amer. Math. Soc.
• Volume: 123
• Year: 1996
• Pages: viii+196 pp.
• MR number: 1342020

Articles (32)

• Hodge structures attached to geometric automorphic forms [16]
• Takayuki Oda
• Adv. Stud. Pure Math.
• Volume: 7
• Year: 1985
• Pages: 223-276
• MR number: 0876107
• $epsilon$ factor of representations of classical groups PDF [15]
• Ilya Piatetski-Shapiro; Stephen Rallis
• Proc. Nat. Acad. Sci. USA
• Volume: 83
• Year: 1986
• Pages: 4589-4593
• MR number: 0848553
• $L$-functoriality for dual pairs [383]
• Jeffrey Adams
• Ast'erisque
• Volume: 171-172
• Year: 1989
• Pages: 85-129
• MR number: 1021501
• Poles of Eisenstein series and $L$-functions [288]
• Stephen Kudla; Stephen Rallis
• Festschrift in honor of I.I. Piatetski-Shapiro on the occasion of his sixtieth birthday
• Volume: II
• Year: 1990
• Pages: 81-110
• MR number: 1159110
• On the decomposition of a representation of ${rm SO}sb n$ when restricted to ${rm SO}sb {n-1}$ [317]
• Benedict Gross; Dipendra Prasad
• Canad. J. Math.
• Volume: 44
• Year: 1992
• Pages: 974-1002
• MR number: 1186476
• On the degree $5$ $L$-function for ${rm Sp}(2)$ [32]
• Stephen Kudla; Stephen Rallis; David Soudry
• Invent. Math.
• Volume: 107
• Year: 1992
• Pages: 483-541
• MR number: 1150600
• Whittaker-orthogonal models, functorality, and the Rankin-Selberg method [34]
• Daniel Bump; Solomon Friedberg; David Ginzburg
• Invent. Math.
• Volume: 109
• Year: 1992
• Pages: 55-96
• MR number: 1168366
• On $L$-functions for ${rm GSp}(4)times {rm GL}(2)$ and their special values PDF [718]
• Masaaki Furusawa
• J. Reine Angew. Math.
• Volume: 438
• Year: 1993
• Pages: 187-218
• MR number: 1215654
• Local Langlands correspondence: the Archimedean case [46]
• Anthony Knapp
• Proc. Sympos. Pure Math.
• Volume: 55 (part 2)
• Year: 1994
• Pages: 393-410
• MR number: 1265560
• Commutation relations of differential operators and Whittaker functions ${rm Sp}_2 (mathbf R)$ [49]
• Shinji Niwa
• Proc. Japan Acad. Ser. A Math. Sci
• Volume: 71
• Year: 1995
• Pages: 189-191
• MR number: 1362994
• Genuine representations of the metaplectic group and epsilon factors [377]
• Jeffrey Adams
• Proceedings of the International Congress of Mathematicians (Zurich 1994). Birkhäuser, Basel, 1995
• Year: 1995
• Pages: 721-731
• MR number: 1403972
• On the Archimedean theory of Rankin-Selberg convolutions for ${rm SO}_{2l+1} times {rm GL}_n$ [50]
• David Soudry
• Ann. Sci. 'Ecole Norm. Sup. (4)
• Volume: 28
• Year: 1995
• Pages: 161-224
• MR number: 1318068
• Reductive dual pair correspondence for complex groups [376]
• Jeffrey Adams; Dan Barbasch
• J. Funct. Anal.
• Volume: 132
• Year: 1995
• Pages: 1-42
• MR number: 1346217
• The generalized Whittaker functions for several admissible representations of ${rm Sp}(2,R)$ [764]
• Takuya Miyazaki
• Proc. Japan Acad. Ser. A Math. Sci
• Volume: 73
• Year: 1997
• Pages: 130-133
• MR number: 1487575
• $L$-functions for symplectic groups [199]
• David Ginzburg; Stephen Rallis; David Soudry
• Bull. Soc. Math. France
• Volume: 126
• Year: 1998
• Pages: 181-244
• MR number: 1675971
• Genuine representations of the metaplectic group [385]
• Jeffrey Adams; Dan Barbasch
• Compositio Math.
• Volume: 113
• Year: 1998
• Pages: 23-66
• MR number: 1638210
• Geometric automorphic forms and spherical functions related to them. II [765]
• Takuya Miyazaki
• Surikaisekikenkyusho Kokyuroku
• Volume: 1026
• Year: 1998
• Pages: 195-203
• MR number: 1647367
• Geometric automorphic forms and spherical functions. I [766]
• Takayuki Oda
• Surikaisekikenkyusho Kokyuroku
• Volume: 1026
• Year: 1998
• Pages: 180-194
• MR number: 1647366
• Generalized spherical functions on the orthogonal group ${rm O}(3,2)$ and related local zeta integrals. (Japanese) [867]
• Tomonori Moriyama
• Surikaisekikenkyusho Kokyuroku
• Volume: 1173
• Year: 2000
• Pages: 13-21
• MR number: 1840064
• The generalized Whittaker functions for ${rm Sp}(2,R)$ and the gamma factor of the Andrianov $L$-function [768]
• Takuya Miyazaki
• J. Math. Sci. Univ. Tokyo
• Volume: 7
• Year: 2000
• Pages: 241-295
• MR number: 1768466
• On the Archimedean Euler factors for spin $L$-functions [632]
• Ralf Schmidt
• Abh. Math. Sem. Univ. Hamburg
• Volume: 72
• Year: 2002
• Pages: 119-143
• MR number: 1941550
• The Whittaker functions on ${rm Sp}(2,bold R)$ and the Novodvorsky zeta-integrals [736]
• Tomonori Moriyama
• Surikaisekikenkyusho Kokyuroku
• Volume: 1281
• Year: 2002
• Pages: 1-13
• MR number: 1959669
• A remark on Whittaker functions on ${rm Sp}(2,Bbb R)$ [869]
• Tomonori Moriyama
• J. Math. Sci. Univ. Tokyo
• Volume: 9
• Year: 2002
• Pages: 627-635
• MR number: 1947484
• Automorphic $L$-functions via Novodvorsky's integrals. (Japanese) [871]
• Tomonori Moriyama
• Surikaisekikenkyusho Kokyuroku
• Volume: 1324
• Year: 2003
• Pages: 197-206
• MR number: 2000779
• On the nonnegativity of $L({1over2},pi)$ for ${rm SO}sb {2n+1}$ [261]
• Erez Lapid; Stephen Rallis
• Ann. of Math.
• Volume: 157
• Year: 2003
• Pages: 891-917
• MR number: 1983784
• The explicit duality correspondence of $({rm Sp}(p,q),{rm O}sp *(2n))$ [1180]
• Jian-Shu Li; Annegret Paul; Eng-Chye Tan; Chen-Bo Zhu
• J. Funct. Anal.
• Volume: 200
• Year: 2003
• Pages: 71-100
• MR number: 1974089
• Automorphic representations of ${rm GSp(4)}$ [357]
• James Arthur
• Contributions to automorphic forms, geometry, and number theory. Johns Hopkins UP, Baltimore, 2004
• Year: 2004
• Pages: 65-81
• MR number: 2058604
• Entireness of the spinor $L$-functions for certain generic cusp forms on ${rm GSp}(2)$ [872]
• Tomonori Moriyama
• Amer. J. Math.
• Volume: 126
• Year: 2004
• Pages: 899-920
• MR number: 2075487
• On the Howe correspondence for symplectic-orthogonal dual pairs [1217]
• Annegret Paul
• J. Funct. Anal.
• Volume: 228
• Year: 2005
• Pages: 270-310
• MR number: 2175409
• Archimedean zeta integrals on GSp(4) [1340]
• Taku Ishii
• Proceedings of the 9th Autumn Workshop on Number Theory, Hakuba, Japan, 2006
• Year: 2006
• Pages: 9 pp
• On motives and l-adic Galois representations associated to automorphic representations of GSp(4) [1341]
• Tetsushi Ito
• Proceedings of the 9th Autumn Workshop on Number Theory, Hakuba, Japan, 2006
• Year: 2006
• Pages: 22 pp
• Spinor $L$-functions, theta correspondence, and Bessel coefficients [1391]
• Philippe Michel; Ramin Takloo-Bighash
• Forum Math.
• Volume: 19
• Year: 2007
• Pages: 487-554
• MR number: 2328118

Preprints (1)

• Integral representation for $L$-functions for ${rm GSp}_4times {rm GL}_2$ [1404]
• Ameya Pitale; Ralf Schmidt
• pdf
• Year: 2008
• Pages: 46 pp