Cogdell, J. W.; Piatetski-Shapiro, I. I. Derivatives and \(L\)-functions for \(\mathrm{GL}_n\). (English) Zbl 1433.11054 Cogdell, Jim (ed.) et al., Representation theory, number theory, and invariant theory. In honor of Roger Howe on the occasion of his 70th birthday, Yale University, New Haven, CT, USA, June 1–5, 2015. Cham: Birkhäuser/Springer. Prog. Math. 323, 115-173 (2017). MSC: 11F66 11F70 22E50 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, Prog. Math. 323, 115--173 (2017; Zbl 1433.11054) Full Text: DOI
Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. Functoriality for the quasisplit classical groups. (English) Zbl 1235.22025 Arthur, James (ed.) et al., On certain \(L\)-functions. Conference on certain \(L\)-functions in honor of Freydoon Shahidi on the occasion of his 60th birthday, West Lafayette, IN, USA July 23–27, 2007. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5204-0/pbk). Clay Mathematics Proceedings 13, 117-140 (2011). Reviewer: Hung Yean Loke (Singapore) MSC: 22E55 11F70 11R39 PDFBibTeX XMLCite \textit{J. W. Cogdell} et al., Clay Math. Proc. 13, 117--140 (2011; Zbl 1235.22025)
Cogdell, J. W.; Piatetski-Shapiro, I. I. On partial Poincaré series. (English) Zbl 1187.11019 Ginzburg, David (ed.) et al., Automorphic forms and \(L\)-functions I. Global aspects. A workshop in honor of Steve Gelbart on the occasion of his sixtieth birthday, Rehovot and Tel Aviv, Israel, May 15–19, 2006. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-4706-0/pbk). Israel Mathematical Conference Proceedings. Contemp. Math. 488, 83-93 (2009). Reviewer: Ivan Matic (Osijek) MSC: 11F70 22E55 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, Contemp. Math. 488, 83--93 (2009; Zbl 1187.11019)
Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. Stability of \(\gamma\)-factors for quasi-split groups. (English) Zbl 1175.11024 J. Inst. Math. Jussieu 7, No. 1, 27-66 (2008). Reviewer: Anne-Marie Aubert (Paris) MSC: 11F70 22E50 PDFBibTeX XMLCite \textit{J. W. Cogdell} et al., J. Inst. Math. Jussieu 7, No. 1, 27--66 (2008; Zbl 1175.11024) Full Text: DOI
Cogdell, J. W.; Piatetski-Shapiro, I. I.; Shahidi, F. Partial Bessel functions for quasi-split groups. (English) Zbl 1101.22011 Cogdell, James W. (ed.) et al., Automorphic representations, \(L\)-functions and applications. Progress and prospects. Proceedings of a conference honoring Steve Rallis on the occasion of his 60th birthday, Columbus, OH, USA, March 27–30, 2003. Berlin: de Gruyter (ISBN 3-11-017939-3/hbk). Ohio State Univ. Math. Res. Inst. Publ. 11, 95-128 (2005). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E50 11F70 PDFBibTeX XMLCite \textit{J. W. Cogdell} et al., Ohio State Univ. Math. Res. Inst. Publ. 11, 95--128 (2005; Zbl 1101.22011)
Cogdell, James W.; Piatetski-Shapiro, Ilya I. Remarks on Rankin-Selberg convolutions. (English) Zbl 1080.11038 Hida, Haruzo (ed.) et al., Contributions to automorphic forms, geometry, and number theory. Papers from the conference in honor of Joseph Shalika on the occasion of his 60th birthday, Johns Hopkins University, Baltimore, MD, USA, May 14–17, 2002. Baltimore, MD: Johns Hopkins University Press (ISBN 0-8018-7860-8/hbk). 255-278 (2004). Reviewer: Anton Deitmar (Tübingen) MSC: 11F70 11F66 22E50 11R39 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, in: Contributions to automorphic forms, geometry, and number theory. Papers from the conference in honor of Joseph Shalika on the occasion of his 60th birthday, Johns Hopkins University, Baltimore, MD, USA, May 14--17, 2002. Baltimore, MD: Johns Hopkins University Press. 255--278 (2004; Zbl 1080.11038) Full Text: Link
Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F. Functoriality for the classical groups. (English) Zbl 1090.22010 Publ. Math., Inst. Hautes Étud. Sci. 99, 163-233 (2004). Reviewer: Samuel James Patterson (Göttingen) MSC: 22E55 22E46 11F70 PDFBibTeX XMLCite \textit{J. W. Cogdell} et al., Publ. Math., Inst. Hautes Étud. Sci. 99, 163--233 (2004; Zbl 1090.22010) Full Text: Numdam EuDML
Baruch, Ehud Moshe; Piatetski-Shapiro, Ilya; Rallis, Stephen On the uniqueness of Fourier Jacobi models for representations of \(U(2,1)\). (English) Zbl 1036.22006 Gindikin, S. G. (ed.), Lie groups and symmetric spaces. In memory of F. I. Karpelevich. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3472-X/hbk). Transl., Ser. 2, Am. Math. Soc. 210(54), 47-56 (2003). Reviewer: Dubravka Ban (Carbondale) MSC: 22E50 11F70 PDFBibTeX XMLCite \textit{E. M. Baruch} et al., Transl., Ser. 2, Am. Math. Soc. 210, 47--56 (2003; Zbl 1036.22006)
Cogdell, J. W.; Piatetski-Shapiro, I. I. Converse theorems, functoriality, and applications to number theory. (English) Zbl 1146.11312 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20–28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor (ISBN 7-04-008690-5/3-vol. set). 119-128 (2002). MSC: 11F70 22E55 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 119--128 (2002; Zbl 1146.11312) Full Text: arXiv
Cogdell, J. W.; Piatetski-Shapiro, I. I. Converse theorems for GL\(_n\) and their application to liftings. (English) Zbl 1039.11030 Venkataramana, T. N. (ed.), Cohomology of arithmetic groups, \(L\)-functions and automorphic forms. Proceedings of an international conference, Mumbai, India, December 1998–January 1999. New Delhi: Narosa Publishing House; published for the Tata Institute of Fundamental Research (ISBN 81-7319-421-1/hbk). Stud. Math., Tata Inst. Fundam. Res. 15, 1-34 (2001). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F70 11F60 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, in: Cohomology of arithmetic groups, \(L\)-functions and automorphic forms. Proceedings of an international conference, Mumbai, India, December 1998--January 1999. New Delhi: Narosa Publishing House; published for the Tata Institute of Fundamental Research. 1--34 (2001; Zbl 1039.11030)
Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F. On lifting from classical groups to \(\text{GL}_N\). (English) Zbl 1028.11029 Publ. Math., Inst. Hautes Étud. Sci. 93, 5-30 (2001). Reviewer: Dubravka Ban (Carbondale) MSC: 11F70 22E55 11F66 11R39 PDFBibTeX XMLCite \textit{J. W. Cogdell} et al., Publ. Math., Inst. Hautes Étud. Sci. 93, 5--30 (2001; Zbl 1028.11029) Full Text: DOI Numdam EuDML
Kim, Ju-Lee; Piatetski-Shapiro, Ilya I. Quadratic base change of \(\theta_{10}\). (English) Zbl 0973.22012 Isr. J. Math. 123, 317-340 (2001). Reviewer: Jeffrey Adler (Akron) MSC: 22E50 PDFBibTeX XMLCite \textit{J.-L. Kim} and \textit{I. I. Piatetski-Shapiro}, Isr. J. Math. 123, 317--340 (2001; Zbl 0973.22012) Full Text: DOI
Cogdell, J. W.; Piatetski-Shapiro, Ilya I. Converse theorems for \(\text{GL}_n\). II. (English) Zbl 0912.11022 J. Reine Angew. Math. 507, 165-188 (1999). Reviewer: J. W. Cogdell (Stillwater) MSC: 11F70 22E55 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, J. Reine Angew. Math. 507, 165--188 (1999; Zbl 0912.11022) Full Text: DOI
Piatetski-Shapiro, I. I. \(L\)-functions for GS\(p_4\). Special issue of the Pacific Journal of Mathematics. (English) Zbl 1001.11020 Aschbacher, Michael (ed.) et al., Olga Taussky-Todd: In memoriam. Cambridge, MA: International Press. Pac. J. Math., Spec. Issue, 259-275 (1998). MSC: 11F66 11F70 11F46 22E55 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro}, in: Olga Taussky-Todd: In memoriam. Cambridge, MA: International Press. Pac. J. Math., Spec. Issue, 259--275 (1998; Zbl 1001.11020)
Jiang, D.; Piatetski-Shapiro, Ilya I. Arithmeticity of discrete subgroups and automorphic forms. (English) Zbl 0921.11027 Geom. Funct. Anal. 8, No. 3, 586-605 (1998). Reviewer: T.Venkataramana (Bombay) MSC: 11F70 11F66 22E40 PDFBibTeX XMLCite \textit{D. Jiang} and \textit{I. I. Piatetski-Shapiro}, Geom. Funct. Anal. 8, No. 3, 586--605 (1998; Zbl 0921.11027) Full Text: DOI
Cogdell, J. W.; Piatetski-Shapiro, I. I. Stability of gamma factors for \(SO(2n+1)\). (English) Zbl 0959.22011 Manuscr. Math. 95, No. 4, 437-461 (1998). Reviewer: David Soudry (Tel-Aviv) MSC: 22E50 11F70 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, Manuscr. Math. 95, No. 4, 437--461 (1998; Zbl 0959.22011) Full Text: DOI EuDML
Ginzburg, D.; Piatetski-Shapiro, Ilya I.; Rallis, S. \(L\) functions for the orthogonal group. (English) Zbl 0884.11022 Mem. Am. Math. Soc. 611, 218 p. (1997). Reviewer: J. G. M. Mars (Utrecht) MSC: 11F70 22E50 22E55 11-02 22-02 PDFBibTeX XMLCite \textit{D. Ginzburg} et al., \(L\) functions for the orthogonal group. Providence, RI: American Mathematical Society (AMS) (1997; Zbl 0884.11022) Full Text: DOI
Piatetski-Shapiro, Ilya I.; Teicher, Mina Correspondence between representations of the dual reductive pair \(O(n)\) and \(\text{SL}_2\). (English) Zbl 0908.20035 Beitr. Algebra Geom. 38, No. 1, 145-148 (1997). MSC: 20G05 20G40 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro} and \textit{M. Teicher}, Beitr. Algebra Geom. 38, No. 1, 145--148 (1997; Zbl 0908.20035) Full Text: EuDML EMIS
Cogdell, J. W.; Piatetski-Shapiro, Ilya I. A converse theorem for \(GL_ 4\). (English) Zbl 0864.22009 Math. Res. Lett. 3, No. 1, 67-76 (1996). Reviewer: A.A.Terras (La Jolla) MSC: 22E55 11F70 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, Math. Res. Lett. 3, No. 1, 67--76 (1996; Zbl 0864.22009) Full Text: DOI
Cogdell, J. W.; Piatetski-Shapiro, Ilya I. On base change for odd orthogonal groups. (English) Zbl 0849.11043 J. Am. Math. Soc. 8, No. 4, 975-996 (1995). Reviewer: S.J.Patterson (Göttingen) MSC: 11F70 11F27 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, J. Am. Math. Soc. 8, No. 4, 975--996 (1995; Zbl 0849.11043) Full Text: DOI
Cogdell, J. W.; Piatetski-Shapiro, Ilya I. Unitarity and functoriality. (English) Zbl 0842.11021 Geom. Funct. Anal. 5, No. 2, 164-173 (1995). Reviewer: S.J.Patterson (Göttingen) MSC: 11F70 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, Geom. Funct. Anal. 5, No. 2, 164--173 (1995; Zbl 0842.11021) Full Text: DOI EuDML
Cogdell, J. W.; Piatetski-Shapiro, Ilya I. Converse theorems for \(\text{GL}_n\). (English) Zbl 0814.11033 Publ. Math., Inst. Hautes Étud. Sci. 79, 157-214 (1994). Reviewer: S. Gelbart (Rehovot) MSC: 11F70 22E55 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, Publ. Math., Inst. Hautes Étud. Sci. 79, 157--214 (1994; Zbl 0814.11033) Full Text: DOI Numdam EuDML
Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G. Rankin-Selberg integrals for the group \(G_ 2\). (English) Zbl 0777.11017 Am. J. Math. 114, No. 6, 1269-1315 (1992). Reviewer: S.J.Patterson (Göttingen) MSC: 11F70 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro} et al., Am. J. Math. 114, No. 6, 1269--1315 (1992; Zbl 0777.11017) Full Text: DOI
Cogdell, J.; Li, J.-S.; Piatetski-Shapiro, Ilya I.; Sarnak, P. Poincaré series for \(SO(n,1)\). (English) Zbl 0743.11028 Acta Math. 167, No. 3-4, 229-285 (1991). Reviewer: J.Elstrodt (Münster) MSC: 11F72 11F70 11L05 PDFBibTeX XMLCite \textit{J. Cogdell} et al., Acta Math. 167, No. 3--4, 229--285 (1991; Zbl 0743.11028) Full Text: DOI
Gel’fand, I. M.; Graev, M. I.; Piatetski-Shapiro, Ilya I. Representation theory and automorphic functions. Transl. from the Russian by K. A. Hirsch. Reprint. (English) Zbl 0718.11022 Boston, MA etc.: Academic Press, Inc. xviii, 426 p. $ 39.50 (1990). Reviewer: Audrey A. Terras (La Jolla) MSC: 11F70 11-02 11F72 22-02 22E47 22E50 22E55 11F66 PDFBibTeX XMLCite \textit{I. M. Gel'fand} et al., Representation theory and automorphic functions. Transl. from the Russian by K. A. Hirsch. Reprint. Boston, MA etc.: Academic Press, Inc. (1990; Zbl 0718.11022)
Cogdell, James W.; Piatetski-Shapiro, Ilya I. The arithmetic and spectral analysis of Poincaré series. (Notes prepared by Ze’ev Rudnick). (English) Zbl 0714.11032 Perspectives in Mathematics, 13. Boston etc.: Academic Press, Inc. 182 p. £24.95 (1990). Reviewer: Roland Matthes MSC: 11F72 11F70 11R56 11-02 11L05 11R58 11F06 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, The arithmetic and spectral analysis of Poincaré series. (Notes prepared by Ze'ev Rudnick). Boston etc.: Academic Press, Inc. (1990; Zbl 0714.11032)
Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G. L functions for the group \(G_ 2\). (English) Zbl 0734.11034 Bull. Am. Math. Soc., New Ser. 23, No. 2, 389-399 (1990). Reviewer: J.G.M.Mars (Utrecht) MSC: 11F66 11F70 22E55 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro} et al., Bull. Am. Math. Soc., New Ser. 23, No. 2, 389--399 (1990; Zbl 0734.11034) Full Text: DOI
Piatetski-Shapiro, Ilya I. The converse theorem for GL(n). (English) Zbl 0708.11031 Festschrift in honor of I.I. Piatetski-Shapiro on the occasion of his sixtieth birthday. Pt. II: Papers in analysis, number theory and automorphic L-functions, Pap. Workshop L-Funct., Number Theory, Harmonic Anal., Tel-Aviv/Isr. 1989, Isr. Math. Conf. Proc. 3, 185-195 (1990). Reviewer: K.-B.Gundlach MSC: 11F70 11F66 11F72 20G05 PDFBibTeX XML
Cogdell, J. W.; Piatetski-Shapiro, Ilya I. The meromorphic continuation of Kloosterman-Selberg zeta functions. (English) Zbl 0694.10039 Complex geometry and analysis, Proc. Int. Symp. in Honour of E. Vesentini, Pisa/Italy 1988, Lect. Notes Math. 1422, 23-35 (1990). Reviewer: R.W. Bruggeman MSC: 11M41 11L05 11F70 PDFBibTeX XML
Piatetski-Shapiro, Ilya I.; Soudry, David Special representations of rank one orthogonal groups. (English) Zbl 0687.10020 Isr. J. Math. 64, No. 3, 276-314 (1989). Reviewer: S.Böcherer MSC: 11F27 11F12 11F70 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro} and \textit{D. Soudry}, Isr. J. Math. 64, No. 3, 276--314 (1989; Zbl 0687.10020) Full Text: DOI
Piatetski-Shapiro, Ilya I. The existence of Maaß cusp forms and Kloosterman sums. (English) Zbl 0683.10023 Theta functions, Proc. 35th Summer Res. Inst. Bowdoin Coll., Brunswick/ME 1987, Proc. Symp. Pure Math. 49, Pt. 2, 267-276 (1989). Reviewer: J.Elstrodt MSC: 11F12 11L10 11F70 11M35 PDFBibTeX XML
Patterson, S. J.; Piatetski-Shapiro, Ilya I. The symmetric-square L-function attached to a cuspidal automorphic representation of \(GL_ 3\). (English) Zbl 0645.22007 Math. Ann. 283, No. 4, 551-572 (1989). Reviewer: S.J.Patterson MSC: 22E55 11F27 11F70 PDFBibTeX XMLCite \textit{S. J. Patterson} and \textit{I. I. Piatetski-Shapiro}, Math. Ann. 283, No. 4, 551--572 (1989; Zbl 0645.22007) Full Text: DOI EuDML
Cogdell, J. W.; Piatetski-Shapiro, Ilya I. Base change for the Saito-Kurokawa representations of PGSp(4). (English) Zbl 0652.10022 J. Number Theory 30, No. 3, 298-320 (1988). Reviewer: S.J.Patterson MSC: 11F27 22E25 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, J. Number Theory 30, No. 3, 298--320 (1988; Zbl 0652.10022) Full Text: DOI
Piatetski-Shapiro, Ilya I.; Rallis, S. A new way to get Euler products. (English) Zbl 0651.10021 J. Reine Angew. Math. 392, 110-124 (1988). Reviewer: I. Piatetski-Shapiro MSC: 11F66 22E30 11F27 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro} and \textit{S. Rallis}, J. Reine Angew. Math. 392, 110--124 (1988; Zbl 0651.10021) Full Text: DOI Crelle EuDML
Li, Jian-Shu; Piatetski-Shapiro, Ilya I.; Sarnak, P. Poincaré series for \(\mathrm{SO}(n,1)\). (English) Zbl 0659.10028 Proc. Indian Acad. Sci., Math. Sci. (Ramanujan Birth Centenary Volume) 97, No. 1-3, 231-237 (1987). Reviewer: R. W. Bruggeman (Utrecht) MSC: 11F72 11F66 11F70 22E40 22E55 PDFBibTeX XMLCite \textit{J.-S. Li} et al., Proc. Indian Acad. Sci., Math. Sci. 97, No. 1--3, 231--237 (1987; Zbl 0659.10028) Full Text: DOI
Piatetski-Shapiro, Ilya I.; Soudry, David On a correspondence of automorphic forms on orthogonal groups of order five. (English) Zbl 0644.22009 J. Math. Pures Appl., IX. Sér. 66, 407-436 (1987). Reviewer: S.Raghavan MSC: 22E55 11F70 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro} and \textit{D. Soudry}, J. Math. Pures Appl. (9) 66, 407--436 (1987; Zbl 0644.22009)
Piatetski-Shapiro, Ilya I.; Rallis, Stephen Rankin triple \(L\)-functions. (English) Zbl 0637.10023 Compos. Math. 64, 31-115 (1987). Reviewer: J. G. M. Mars (Utrecht) MSC: 11F67 11F70 11R39 22E55 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro} and \textit{S. Rallis}, Compos. Math. 64, 31--115 (1987; Zbl 0637.10023) Full Text: Numdam EuDML
Cogdell, J. W.; Piatetski-Shapiro, Ilya I. Base change for \(SL_ 2^{\sim}\). (English) Zbl 0632.10031 J. Number Theory 27, 285-303 (1987). Reviewer: S.Gelbart MSC: 11F70 22E50 22E55 PDFBibTeX XMLCite \textit{J. W. Cogdell} and \textit{I. I. Piatetski-Shapiro}, J. Number Theory 27, 285--303 (1987; Zbl 0632.10031) Full Text: DOI
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.; Rallis, Stephen Explicit constructions of automorphic \(L\)-functions. (English) Zbl 0612.10022 Lecture Notes in Mathematics, 1254. Berlin etc.: Springer-Verlag. vi, 152 pp. DM 28.50 (1987). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F70 11S37 22E50 11-02 22-02 PDFBibTeX XML
Piatetski-Shapiro, Ilya I.; Rallis, Stephen \(\varepsilon\) factor of representations of classical groups. (English) Zbl 0599.12012 Proc. Natl. Acad. Sci. USA 83, No. 13, 4589-4593 (1986). Reviewer: S. Raghavan MSC: 11F70 22E55 11S45 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro} and \textit{S. Rallis}, Proc. Natl. Acad. Sci. USA 83, 4589--4593 (1986; Zbl 0599.12012) Full Text: DOI Link
Piatetski-Shapiro, Ilya I.; Rallis, Stephen \(L\)-functions of automorphic forms on simple classical groups. (English) Zbl 0566.10022 Modular forms, Symp. Durham/Engl. 1983, 251-261 (1984). Reviewer: Oleg M. Fomenko (St. Peterburg) MSC: 11F66 11F46 PDFBibTeX XML
Patterson, S. J.; Piatetski-Shapiro, Ilya I. A cubic analogue of the cuspidal theta representations. (English) Zbl 0563.10022 J. Math. Pures Appl., IX. Sér. 63, 333-375 (1984). Reviewer: S.Gelbart MSC: 11F70 22E55 PDFBibTeX XMLCite \textit{S. J. Patterson} and \textit{I. I. Piatetski-Shapiro}, J. Math. Pures Appl. (9) 63, 333--375 (1984; Zbl 0563.10022)
Piatetski-Shapiro, Ilya I. A remark on my paper ”On the Saito-Kurokawa lifting”. (English) Zbl 0559.10021 Invent. Math. 76, 75-76 (1984). MSC: 11F27 11F70 22E55 11R39 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro}, Invent. Math. 76, 75--76 (1984; Zbl 0559.10021) Full Text: DOI
Piatetski-Shapiro, Ilya I.; Soudry, David \(L\) and \(\epsilon\) functions for \(GSp(4)\times GL(2)\). (English) Zbl 0541.22012 Proc. Natl. Acad. Sci. USA 81, 3924-3927 (1984). Reviewer: J.Repka MSC: 22E55 11R39 11F70 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro} and \textit{D. Soudry}, Proc. Natl. Acad. Sci. USA 81, 3924--3927 (1984; Zbl 0541.22012) Full Text: DOI
Piatetski-Shapiro, Ilya I. Work of Waldspurger. (English) Zbl 0539.22017 Lie group representations II, Proc. Spec. Year, Univ. Md., College Park 1982-83, Lect. Notes Math. 1041, 280-302 (1984). Reviewer: R.Miatello MSC: 22E55 11F70 11F12 PDFBibTeX XML
Gelbart, Stephen; Piatetski-Shapiro, Ilya I. Automorphic forms and L-functions for the unitary group. (English) Zbl 0531.10034 Lie group representations II, Proc. Spec. Year, Univ. Md., College Park 1982-83, Lect. Notes Math. 1041, 141-184 (1984). Reviewer: K.Lai MSC: 11F27 11F70 22E55 PDFBibTeX XML
Piatetski-Shapiro, Ilya I. Special automorphic forms on \(PGSp_ 4\). (English) Zbl 0566.10021 Arithmetic and geometry, Pap. dedic. I. R. Shafarevich, Vol. I: Arithmetic, Prog. Math. 35, 309-325 (1983). Reviewer: K.-B.Gundlach MSC: 11F27 11F70 PDFBibTeX XML
Howe, Roger; Piatetski-Shapiro, Ilya I. Some examples of automorphic forms on Sp4. (English) Zbl 0529.22012 Duke Math. J. 50, 55-106 (1983). MSC: 22E55 22E50 11F70 PDFBibTeX XMLCite \textit{R. Howe} and \textit{I. I. Piatetski-Shapiro}, Duke Math. J. 50, 55--106 (1983; Zbl 0529.22012) Full Text: DOI
Gelbart, Stephen; Piatetski-Shapiro, Ilya I. Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger. (English) Zbl 0526.10026 Isr. J. Math. 44, 97-126 (1983). MSC: 11F70 11F85 11S40 22E50 11S37 PDFBibTeX XMLCite \textit{S. Gelbart} and \textit{I. I. Piatetski-Shapiro}, Isr. J. Math. 44, 97--126 (1983; Zbl 0526.10026) Full Text: DOI
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph Rankin-Selberg convolutions. (English) Zbl 0525.22018 Am. J. Math. 105, 367-464 (1983). MSC: 22E50 32N10 11F70 PDFBibTeX XMLCite \textit{H. Jacquet} et al., Am. J. Math. 105, 367--464 (1983; Zbl 0525.22018) Full Text: DOI Link
Piatetski-Shapiro, Ilya I. On the Saito-Kurokawa lifting. (English) Zbl 0515.10024 Invent. Math. 71, 309-338 (1983). MSC: 11F27 11F70 11R39 22E55 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro}, Invent. Math. 71, 309--338 (1983; Zbl 0515.10024) Full Text: DOI EuDML
Piatetski-Shapiro, Ilya I. Complex representations of \(\text{GL}(2,K)\) for finite fields \(K\). (English) Zbl 0513.20026 Contemporary Mathematics 16. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5019-0). 71 p. (1983). MSC: 20G05 20G40 20C30 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro}, Complex representations of \(\text{GL}(2,K)\) for finite fields \(K\). Providence, RI: American Mathematical Society (AMS) (1983; Zbl 0513.20026) Full Text: DOI
Piatetski-Shapiro, Ilya I. Cuspidal automorphic representations associated to parabolic subgroups and Ramanujan conjecture. (English) Zbl 0505.12017 Number theory related to Fermat’s last theorem, Proc. Conf., Prog. Math. 26, 143-151 (1982). MSC: 11R39 11F70 11F67 22E55 PDFBibTeX XML
Piatetski-Shapiro, Ilya I.; Soudry, David L and epsilon factors for \(GSp(4)\). (English) Zbl 0499.22020 J. Fac. Sci., Univ. Tokyo, Sect. I A 28, 505-530 (1981). MSC: 22E50 11S37 11F85 PDFBibTeX XMLCite \textit{I. I. Piatetski-Shapiro} and \textit{D. Soudry}, J. Fac. Sci., Univ. Tokyo, Sect. I A 28, 505--530 (1981; Zbl 0499.22020)
Gelbart, Stephen; Piatetski-Shapiro, Ilya I. On Shimura’s correspondence for modular forms of half-integral weight. (English) Zbl 0495.10020 Automorphic forms, representation theory and arithmetic, Pap. Colloq., Bombay 1979, 1-39 (1981). MSC: 11F70 22E55 11R39 11F11 PDFBibTeX XML
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph Facteurs L et epsilon du groupe linéaire: théorie archimedienne. (French) Zbl 0478.22006 C. R. Acad. Sci., Paris, Sér. I 293, 13-18 (1981). MSC: 22E45 22E47 11F70 PDFBibTeX XMLCite \textit{H. Jacquet} et al., C. R. Acad. Sci., Paris, Sér. I 293, 13--18 (1981; Zbl 0478.22006)
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph Conducteur des représentations generiques du groupe linéaire. (French) Zbl 0475.22012 C. R. Acad. Sci., Paris, Sér. I 292, 611-616 (1981). MSC: 22E50 PDFBibTeX XMLCite \textit{H. Jacquet} et al., C. R. Acad. Sci., Paris, Sér. I 292, 611--616 (1981; Zbl 0475.22012)
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph Relevement cubique non normal. (French) Zbl 0475.12017 C. R. Acad. Sci., Paris, Sér. I 292, 567-571 (1981). MSC: 11R42 11R16 11F70 11R39 22E55 PDFBibTeX XMLCite \textit{H. Jacquet} et al., C. R. Acad. Sci., Paris, Sér. I 292, 567--571 (1981; Zbl 0475.12017)
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, J. Conducteur des représentations du groupe linéaire. (French) Zbl 0443.22013 Math. Ann. 256, 199-214 (1981). MSC: 22E50 11F70 11F27 PDFBibTeX XMLCite \textit{H. Jacquet} et al., Math. Ann. 256, 199--214 (1981; Zbl 0443.22013) Full Text: DOI EuDML
Gelbart, Stephen; Piatetski-Shapiro, Ilya I. Distinguished representations and modular forms of half-integral weight. (English) Zbl 0426.10027 Invent. Math. 59, 145-188 (1980). MSC: 11F70 11F11 22E50 22E55 PDFBibTeX XMLCite \textit{S. Gelbart} and \textit{I. I. Piatetski-Shapiro}, Invent. Math. 59, 145--188 (1980; Zbl 0426.10027) Full Text: DOI EuDML
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph Facteurs L et \(\varepsilon\) du groupe linéaire. (French) Zbl 0448.10022 C. R. Acad. Sci., Paris, Sér. A 289, 59-61 (1979). MSC: 11F67 11F85 11F70 11S37 11S40 22E50 PDFBibTeX XMLCite \textit{H. Jacquet} et al., C. R. Acad. Sci., Paris, Sér. A 289, 59--61 (1979; Zbl 0448.10022)
Howe, Roger; Piatetski-Shapiro, Ilya I. A counterexample to the ”generalized Ramanujan conjecture” for (quasi-) split groups. (English) Zbl 0423.22018 Automorphic forms, representations and L-functions, Proc. Symp. Pure Math. Am. Math. Soc., Corvallis/Oregon 1977, Proc. Symp. Pure Math. 33, 1, 315-322 (1979). MSC: 22E55 11F27 PDFBibTeX XML
Piatetski-Shapiro, Ilya I. Multiplicity one theorems. (English) Zbl 0423.22017 Automorphic forms, representations and L-functions, Proc. Symp. Pure Math. Am. Math. Soc., Corvallis/Oregon 1977, Proc. Symp. Pure Math. 33, 1, 209-212 (1979). MSC: 22E55 11F27 PDFBibTeX XML
Piatetski-Shapiro, Ilya I. Classical and adelic automorphic forms. An introduction. (English) Zbl 0423.10017 Automorphic forms, representations and L-functions, Proc. Symp. Pure Math. Am. Math. Soc., Corvallis/Oregon 1977, Proc. Symp. Pure Math. 33, 1, 185-188 (1979). MSC: 11F70 11F27 22E55 11R39 PDFBibTeX XML
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph Automorphic forms on \(GL(3)\). I, II. (English) Zbl 0401.10037 Ann. Math. (2) 109, 169-212, 213-258 (1979). MSC: 11F70 11F27 22E55 11R42 PDFBibTeX XMLCite \textit{H. Jacquet} et al., Ann. Math. (2) 109, 169--212, 213--258 (1979; Zbl 0401.10037) Full Text: DOI
Jacquet, Hervé; Piatetski-Shapiro, Ilya I.; Shalika, Joseph Construction de formes automorphes pour le groupe GL(3). (French) Zbl 0356.12017 C. R. Acad. Sci., Paris, Sér. A 282, 91-93 (1976). MSC: 11R56 20G35 11F27 11R42 PDFBibTeX XMLCite \textit{H. Jacquet} et al., C. R. Acad. Sci., Paris, Sér. A 282, 91--93 (1976; Zbl 0356.12017)
Piatetski-Shapiro, Ilya I. On the Weil-Jacquet-Langlands theorem. (English) Zbl 0329.22014 Lie Groups Represent., Proc. Summer Sch. Bolyai János math. Soc., Budapest 1971, 583-595 (1975). MSC: 22E55 11F70 11R42 PDFBibTeX XML
Novodvorskiĭ, M. E.; Piatetski-Shapiro, Ilya I. On zeta-functions of infinite-dimensional representations. (English. Russian original) Zbl 0323.12017 Math. USSR, Sb. 21(1973), 499-509 (1975); translation from Mat. Sb., n. Ser. 92(134), 507-517 (1973). MSC: 11F70 22E55 20G35 11R56 PDFBibTeX XMLCite \textit{M. E. Novodvorskiĭ} and \textit{I. I. Piatetski-Shapiro}, Math. USSR, Sb. 21, 499--509 (1975; Zbl 0323.12017); translation from Mat. Sb., n. Ser. 92(134), 507--517 (1973) Full Text: DOI
Novodvorskij, M. E.; Pyatetskij-Shapiro, I. I. Generalized Bessel models for a symplectic group of rank 2. (English) Zbl 0281.22019 Math. USSR, Sb. 19(1973), 243-255 (1974). MSC: 22E50 20G25 20G05 14G10 PDFBibTeX XMLCite \textit{M. E. Novodvorskij} and \textit{I. I. Pyatetskij-Shapiro}, Math. USSR, Sb. 19, 243--255 (1974; Zbl 0281.22019) Full Text: DOI
Novodvorskij, M. E.; Pyatetskij-Shapiro, I. I. Verallgemeinerte Besselsche Modelle für eine symplektische Gruppe vom Rang 2. (Russian) Zbl 0272.22013 Mat. Sb., N. Ser. 90(132), 246-256 (1973). MSC: 22E50 20G25 20G05 14G10 PDFBibTeX XMLCite \textit{M. E. Novodvorskij} and \textit{I. I. Pyatetskij-Shapiro}, Mat. Sb., Nov. Ser. 90(132), 246--256 (1973; Zbl 0272.22013)
Kirshteĭn, B. H.; Piatetski-Shapiro, Ilya I. Invariant subrings of induced rings. (Russian) Zbl 0205.06003 Izv. Akad. Nauk SSSR, Ser. Mat. 34, 83-89 (1970). MSC: 13F99 11F03 20G05 20G25 PDFBibTeX XMLCite \textit{B. H. Kirshteĭn} and \textit{I. I. Piatetski-Shapiro}, Izv. Akad. Nauk SSSR, Ser. Mat. 34, 83--89 (1970; Zbl 0205.06003)
Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. Representation theory and automorphic function. Translated from the Russian by K. A. Hirsch. (English) Zbl 0177.18003 Philadelphia: W. B. Saunders Company. xvi, 426 p. (1969). MSC: 11F70 11-02 22-02 PDFBibTeX XML
Gel’fand, I. M.; Graev, M. I.; Pyatetskii-Shapiro, I. I. Generalized functions. Vol. 6. Representation theory and automorphic functions. (Обобщенные функций. Выпуск 6. Теория представлений и автоморфные функции.) (Russian) Zbl 0138.07201 Moskva: Verlag ‘Nauka’. Hauptredaktion für Physikalisch-Mathematische Literatur. 512 p. (1966). Reviewer: L. de Branges MSC: 11F70 11-02 22-02 PDFBibTeX XMLCite \textit{I. M. Gel'fand} et al., Обобщенные функций. Выпуск 6. Теория представлений и автоморфные функции (Russian). Moskau: Verlag `Nauka'. Hauptredaktion für Physikalisch-Mathematische Literatur (1966; Zbl 0138.07201)
Gel’fand, I. M.; Pyatetskij-Shapiro, I. I. Representation theory and the theory of automorphic functions. (Russian) Zbl 0121.30601 Usp. Mat. Nauk 14, No. 2(86), 171-194 (1959). Reviewer: Karl-Bernhard Gundlach (Marburg) MSC: 11F70 PDFBibTeX XMLCite \textit{I. M. Gel'fand} and \textit{I. I. Pyatetskij-Shapiro}, Usp. Mat. Nauk 14, No. 2(86), 171--194 (1959; Zbl 0121.30601)