Narita, Hiro-Aki Jacquet-Langlands-Shimizu correspondence for theta lifts to \(GSp(2)\) and its inner forms II: an explicit formula for Bessel periods and the non-vanishing of theta lifts. (English) Zbl 07317365 J. Math. Soc. Japan 73, No. 1, 125-159 (2021). MSC: 11F67 11F27 11F30 11F55 PDF BibTeX XML Cite \textit{H.-A. Narita}, J. Math. Soc. Japan 73, No. 1, 125--159 (2021; Zbl 07317365) Full Text: DOI Euclid
Mieda, Yoichi Parity of the Langlands parameters of conjugate self-dual representations of \(\text{GL}(n)\) and the local Jacquet-Langlands correspondence. (English) Zbl 07286301 J. Inst. Math. Jussieu 19, No. 6, 2017-2043 (2020). MSC: 11F70 11G25 22E50 PDF BibTeX XML Cite \textit{Y. Mieda}, J. Inst. Math. Jussieu 19, No. 6, 2017--2043 (2020; Zbl 07286301) Full Text: DOI
Wagh, Siddhesh Maass space for lifts to GL(2) over a division quaternion algebra. (English) Zbl 07137128 J. Number Theory 208, 230-261 (2020). MSC: 11F70 11F55 PDF BibTeX XML Cite \textit{S. Wagh}, J. Number Theory 208, 230--261 (2020; Zbl 07137128) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Explicit local Jacquet-Langlands correspondence: the non-dyadic wild case. (English) Zbl 07278439 Aizenbud, Avraham (ed.) et al., Representations of reductive groups. Conference in honor of Joseph Bernstein. Representation theory and algebraic geometry, June 11–16, 2017. Weizmann Institute of Science and The Hebrew University of Jerusalem, Israel. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4284-2/hbk; 978-1-4704-5157-8/ebook). Proceedings of Symposia in Pure Mathematics 101, 45-72 (2019). MSC: 22E50 11S37 PDF BibTeX XML Cite \textit{C. J. Bushnell} and \textit{G. Henniart}, Proc. Symp. Pure Math. 101, 45--72 (2019; Zbl 07278439) Full Text: DOI
Sécherre, Vincent; Stevens, Shaun Towards an explicit local Jacquet-Langlands correspondence beyond the cuspidal case. (English) Zbl 07099165 Compos. Math. 155, No. 10, 1853-1887 (2019). MSC: 22E50 PDF BibTeX XML Cite \textit{V. Sécherre} and \textit{S. Stevens}, Compos. Math. 155, No. 10, 1853--1887 (2019; Zbl 07099165) Full Text: DOI arXiv
Badulescu, A. I. The trace formula and the proof of the global Jacquet-Langlands correspondence. (English) Zbl 07262356 Heiermann, Volker (ed.) et al., Relative aspects in representation theory, Langlands functoriality and automorphic forms. CIRM Jean-Morlet Chair, spring 2016. Cham: Springer; Paris: Société Mathématique de France (SMF) (ISBN 978-3-319-95230-7/pbk; 978-3-319-95231-4/ebook; 978-2-85629-886-2/pbk). Lecture Notes in Mathematics 2221, 197-250 (2018). MSC: 11F72 11F70 PDF BibTeX XML Cite \textit{A. I. Badulescu}, Lect. Notes Math. 2221, 197--250 (2018; Zbl 07262356) Full Text: DOI
Imai, Naoki; Tsushima, Takahiro Local Jacquet-Langlands correspondences for simple supercuspidal representations. (English) Zbl 1446.11097 Kyoto J. Math. 58, No. 3, 623-638 (2018). MSC: 11F70 11L05 PDF BibTeX XML Cite \textit{N. Imai} and \textit{T. Tsushima}, Kyoto J. Math. 58, No. 3, 623--638 (2018; Zbl 1446.11097) Full Text: DOI
Feigon, Brooke; Martin, Kimball; Whitehouse, David Periods and nonvanishing of central \(L\)-values for \(\mathrm{GL}(2n)\). (English) Zbl 06897848 Isr. J. Math. 225, No. 1, 223-266 (2018). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F67 11F70 11F72 22E50 22E55 PDF BibTeX XML Cite \textit{B. Feigon} et al., Isr. J. Math. 225, No. 1, 223--266 (2018; Zbl 06897848) Full Text: DOI
Freixas i Montplet, Gerard; Sankaran, Siddarth Twisted Hilbert modular surfaces, arithmetic intersections and the Jacquet-Langlands correspondence. (English) Zbl 06863438 Adv. Math. 329, 1-84 (2018). MSC: 14G40 14G35 11G18 14C15 PDF BibTeX XML Cite \textit{G. Freixas i Montplet} and \textit{S. Sankaran}, Adv. Math. 329, 1--84 (2018; Zbl 06863438) Full Text: DOI arXiv
Kumar Verma, Mahendra Distinguished residual spectrum for \(\mathrm{GL}_2(D)\). (English) Zbl 1446.11085 Pac. J. Math. 295, No. 1, 241-256 (2018). MSC: 11F41 11F67 11F70 PDF BibTeX XML Cite \textit{M. Kumar Verma}, Pac. J. Math. 295, No. 1, 241--256 (2018; Zbl 1446.11085) Full Text: DOI
Badulescu, Alexandru Ioan; Roche, Philippe Global Jacquet-Langlands correspondence for division algebras in characteristic \(p\). (English) Zbl 1405.11064 Int. Math. Res. Not. 2017, No. 7, 2172-2206 (2017). MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{A. I. Badulescu} and \textit{P. Roche}, Int. Math. Res. Not. 2017, No. 7, 2172--2206 (2017; Zbl 1405.11064) Full Text: DOI
Martin, Kimball The Jacquet-Langlands correspondence, Eisenstein congruences, and integral \(L\)-values in weight \(2\). (English) Zbl 1429.11090 Math. Res. Lett. 24, No. 6, 1775-1795 (2017). MSC: 11F41 11F30 11F67 PDF BibTeX XML Cite \textit{K. Martin}, Math. Res. Lett. 24, No. 6, 1775--1795 (2017; Zbl 1429.11090) Full Text: DOI arXiv
Narita, Hiro-Aki Jacquet-Langlands-Shimizu correspondence for theta lifts to \(\mathrm{GSp}(2)\) and its inner forms I: an explicit functorial correspondence. (English) Zbl 1440.11085 J. Math. Soc. Japan 69, No. 4, 1443-1474 (2017). MSC: 11F70 11F27 11F46 11F55 PDF BibTeX XML Cite \textit{H.-A. Narita}, J. Math. Soc. Japan 69, No. 4, 1443--1474 (2017; Zbl 1440.11085) Full Text: DOI Euclid
Kariyama, Kazutoshi Invariance of an endo-class under the essentially tame Jacquet-Langlands correspondence. (English) Zbl 1379.22015 Osaka J. Math. 54, No. 2, 229-247 (2017). Reviewer: Dubravka Ban (Carbondale) MSC: 22E50 PDF BibTeX XML Cite \textit{K. Kariyama}, Osaka J. Math. 54, No. 2, 229--247 (2017; Zbl 1379.22015) Full Text: Euclid
Kariyama, Kazutoshi A remark on Jacquet-Langlands correspondence and invariant \(s\). (English) Zbl 1365.22004 Tohoku Math. J. (2) 69, No. 1, 25-33 (2017). MSC: 22E50 PDF BibTeX XML Cite \textit{K. Kariyama}, Tohoku Math. J. (2) 69, No. 1, 25--33 (2017; Zbl 1365.22004) Full Text: DOI Euclid
Mínguez, Alberto; Sécherre, Vincent Local Jacquet-Langlands corespondence and congruences modulo \(\ell\). (Correspondance de Jacquet-Langlands locale et congruences modulo \(\ell \).) (French. English summary) Zbl 1412.22035 Invent. Math. 208, No. 2, 553-631 (2017). Reviewer: Laure Blasco (Paris) MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{A. Mínguez} and \textit{V. Sécherre}, Invent. Math. 208, No. 2, 553--631 (2017; Zbl 1412.22035) Full Text: DOI
Greenberg, Matthew; Seveso, Marco \(p\)-adic families of cohomological modular forms for indefinite quaternion algebras and the Jacquet-Langlands correspondence. (English) Zbl 1406.11054 Can. J. Math. 68, No. 5, 961-998 (2016). MSC: 11F85 11F11 11F67 PDF BibTeX XML Cite \textit{M. Greenberg} and \textit{M. Seveso}, Can. J. Math. 68, No. 5, 961--998 (2016; Zbl 1406.11054) Full Text: DOI
Tam, Kam-Fai Some endoscopic properties of the essentially tame Jacquet-Langlands correspondence. (English) Zbl 1341.22016 Doc. Math. 21, 345-389 (2016). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 PDF BibTeX XML Cite \textit{K.-F. Tam}, Doc. Math. 21, 345--389 (2016; Zbl 1341.22016) Full Text: EMIS arXiv
Bergeron, Nicolas The spectrum of hyperbolic surfaces. Translated from the French by Farrell Brumley. (English) Zbl 1339.11061 Universitext. Les Ulis: EDP Sciences; Cham: Springer (ISBN 978-3-319-27664-9/pbk; 978-3-319-27666-3/ebook). xiii, 370 p. (2016). MSC: 11F72 11F12 11-02 PDF BibTeX XML Cite \textit{N. Bergeron}, The spectrum of hyperbolic surfaces. Translated from the French by Farrell Brumley. Les Ulis: EDP Sciences; Cham: Springer (2016; Zbl 1339.11061) Full Text: DOI
Boyarchenko, Mitya; Weinstein, Jared Maximal varieties and the local Langlands correspondence for \(\mathrm{GL}(n)\). (English) Zbl 1336.11074 J. Am. Math. Soc. 29, No. 1, 177-236 (2016). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11S37 11G25 14G22 11G18 PDF BibTeX XML Cite \textit{M. Boyarchenko} and \textit{J. Weinstein}, J. Am. Math. Soc. 29, No. 1, 177--236 (2016; Zbl 1336.11074) Full Text: DOI arXiv
Blackman, Terrence Richard; Lemurell, Stefan Spectral correspondences for Maass waveforms on quaternion groups. (English) Zbl 1400.11103 J. Number Theory 158, 1-22 (2016). MSC: 11F72 11R52 PDF BibTeX XML Cite \textit{T. R. Blackman} and \textit{S. Lemurell}, J. Number Theory 158, 1--22 (2016; Zbl 1400.11103) Full Text: DOI
Kariyama, Kazutoshi Endo-class and the Jacquet-Langlands correspondence. (English) Zbl 1361.22007 Kyoto J. Math. 55, No. 2, 299-320 (2015). MSC: 22E50 PDF BibTeX XML Cite \textit{K. Kariyama}, Kyoto J. Math. 55, No. 2, 299--320 (2015; Zbl 1361.22007) Full Text: DOI Euclid
Tokimoto, Kazuki On the reduction modulo \(p\) of representations of a quaternion division algebra over a \(p\)-adic field. (English) Zbl 1321.11117 J. Number Theory 150, 136-167 (2015). Reviewer: Neven Grbac (Rijeka) MSC: 11S37 11F70 11F80 20C20 PDF BibTeX XML Cite \textit{K. Tokimoto}, J. Number Theory 150, 136--167 (2015; Zbl 1321.11117) Full Text: DOI arXiv
Wang, Haoran Symmetric Drinfeld space and local Langlands correspondence. I. (L’espace symétrique de Drinfeld et correspondance de Langlands locale. I.) (French) Zbl 1341.11021 Math. Z. 278, No. 3-4, 829-857 (2014). Reviewer: Liang-Chung Hsia (Taipei) MSC: 11F52 11S37 22E50 11F70 11F85 PDF BibTeX XML Cite \textit{H. Wang}, Math. Z. 278, No. 3--4, 829--857 (2014; Zbl 1341.11021) Full Text: DOI
Mieda, Yoichi Geometric approach to the local Jacquet-Langlands correspondence. (English) Zbl 1310.22015 Am. J. Math. 136, No. 4, 1067-1091 (2014). Reviewer: Min Ho Lee (Cedar Falls) MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{Y. Mieda}, Am. J. Math. 136, No. 4, 1067--1091 (2014; Zbl 1310.22015) Full Text: DOI Link arXiv
Choiy, Kwangho Transfer of Plancherel measures for unitary supercuspidal representations between \(p\)-adic inner forms. (English) Zbl 1294.22013 Can. J. Math. 66, No. 3, 566-595 (2014). Reviewer: Ivan Matić (Osijek) MSC: 22E50 22E35 11F70 22E55 PDF BibTeX XML Cite \textit{K. Choiy}, Can. J. Math. 66, No. 3, 566--595 (2014; Zbl 1294.22013) Full Text: DOI arXiv
Dembélé, Lassina; Voight, John Explicit methods for Hilbert modular forms. (English) Zbl 1326.11018 Darmon, Henri (ed.) et al., Elliptic curves, Hilbert modular forms and Galois deformations. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0617-6/pbk; 978-3-0348-0618-3/ebook). Advanced Courses in Mathematics – CRM Barcelona, 135-198 (2013). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11F41 PDF BibTeX XML Cite \textit{L. Dembélé} and \textit{J. Voight}, in: Elliptic curves, Hilbert modular forms and Galois deformations. Basel: Birkhäuser/Springer. 135--198 (2013; Zbl 1326.11018) Full Text: DOI
Terracini, Lea A weight independence result for quaternionic Hecke algebras. (English) Zbl 1292.11063 Int. J. Number Theory 9, No. 8, 1895-1922 (2013). Reviewer: Gabor Wiese (Luxembourg) MSC: 11F55 11F75 11F25 11R52 14G35 PDF BibTeX XML Cite \textit{L. Terracini}, Int. J. Number Theory 9, No. 8, 1895--1922 (2013; Zbl 1292.11063) Full Text: DOI
Newton, James Completed cohomology of Shimura curves and a \(p\)-adic Jacquet-Langlands correspondence. (English) Zbl 1304.22025 Math. Ann. 355, No. 2, 729-763 (2013). Reviewer: Min Ho Lee (Cedar Falls) MSC: 22E57 11F66 11G18 PDF BibTeX XML Cite \textit{J. Newton}, Math. Ann. 355, No. 2, 729--763 (2013; Zbl 1304.22025) Full Text: DOI arXiv
Mieda, Yoichi Lefschetz trace formula and \(\ell\)-adic cohomology of Lubin-Tate tower. (English) Zbl 1285.22016 Math. Res. Lett. 19, No. 1, 95-107 (2012). Reviewer: Liang Xiao (Irvine) MSC: 22E50 11S37 14F20 14G35 11F70 PDF BibTeX XML Cite \textit{Y. Mieda}, Math. Res. Lett. 19, No. 1, 95--107 (2012; Zbl 1285.22016) Full Text: DOI arXiv
Broussous, P.; Sécherre, V.; Stevens, S. Smooth representations of \(\text{GL}_m(D)\). V: Endo-classes. (English) Zbl 1280.22018 Doc. Math. 17, 23-77 (2012). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 PDF BibTeX XML Cite \textit{P. Broussous} et al., Doc. Math. 17, 23--77 (2012; Zbl 1280.22018) Full Text: EMIS
Freixas i Montplet, Gerard The Jacquet-Langlands correspondence and the arithmetic Riemann-Roch theorem for pointed curves. (English) Zbl 1237.14032 Int. J. Number Theory 8, No. 1, 1-29 (2012). Reviewer: Jan Steffen Müller (Hamburg) MSC: 14G40 11G18 11F12 11F72 PDF BibTeX XML Cite \textit{G. Freixas i Montplet}, Int. J. Number Theory 8, No. 1, 1--29 (2012; Zbl 1237.14032) Full Text: DOI arXiv
Bergeron, Nicolas The spectrum of hyperbolic surfaces. (Le spectre des surfaces hyperboliques.) (French) Zbl 1267.11001 Savoirs Actuels. Les Ulis: EDP Sciences; Paris: CNRS Éditions (ISBN 978-2-7598-0564-8/pbk; 978-2-271-07234-4). ix, 338 p. (2011). Reviewer: Frank Monheim (Tübingen) MSC: 11-02 11F12 11F60 11F72 PDF BibTeX XML Cite \textit{N. Bergeron}, Le spectre des surfaces hyperboliques. Les Ulis: EDP Sciences; Paris: CNRS Éditions (2011; Zbl 1267.11001)
Bushnell, Colin J.; Henniart, Guy The essentially tame Jacquet-Langlands correspondence for inner forms of \(\text{GL}(n)\). (English) Zbl 1244.11053 Pure Appl. Math. Q. 7, No. 3, 469-538 (2011). Reviewer: Gerald Gotsbacher (Mumbai) MSC: 11F70 11S37 22E50 PDF BibTeX XML Cite \textit{C. J. Bushnell} and \textit{G. Henniart}, Pure Appl. Math. Q. 7, No. 3, 469--538 (2011; Zbl 1244.11053) Full Text: DOI
Papikian, Mihran On Jacquet-Langlands isogeny over function fields. (English) Zbl 1245.11074 J. Number Theory 131, No. 7, 1149-1175 (2011). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) (MR 2782835) MSC: 11G18 11G09 PDF BibTeX XML Cite \textit{M. Papikian}, J. Number Theory 131, No. 7, 1149--1175 (2011; Zbl 1245.11074) Full Text: DOI arXiv
Luo, Wenzhi A note on the distribution of integer points on spheres. (English) Zbl 1268.11070 Math. Z. 267, No. 3-4, 965-970 (2011). MSC: 11F72 11F25 11F66 11P21 58J51 PDF BibTeX XML Cite \textit{W. Luo}, Math. Z. 267, No. 3--4, 965--970 (2011; Zbl 1268.11070) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Explicit functorial correspondences for level zero representations of \(p\)-adic linear groups. (English) Zbl 1205.22012 J. Number Theory 131, No. 2, 309-331 (2011). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 PDF BibTeX XML Cite \textit{C. J. Bushnell} and \textit{G. Henniart}, J. Number Theory 131, No. 2, 309--331 (2011; Zbl 1205.22012) Full Text: DOI
Helm, David Towards a geometric Jacquet-Langlands correspondence for unitary Shimura varieties. (English) Zbl 1205.11070 Duke Math. J. 155, No. 3, 483-518 (2010). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{D. Helm}, Duke Math. J. 155, No. 3, 483--518 (2010; Zbl 1205.11070) Full Text: DOI arXiv
Badulescu, A. I.; Renard, D. Unitary dual of \(\text{GL}(n)\) at archimedean places and global Jacquet-Langlands correspondence. (English) Zbl 1216.22014 Compos. Math. 146, No. 5, 1115-1164 (2010). Reviewer: Marcela Hanzer (Zagreb) MSC: 22E50 11F70 22E55 PDF BibTeX XML Cite \textit{A. I. Badulescu} and \textit{D. Renard}, Compos. Math. 146, No. 5, 1115--1164 (2010; Zbl 1216.22014) Full Text: DOI arXiv
Lapid, Erez M. Introductory notes on the trace formula. (English) Zbl 1314.11039 Ji, Lizhen (ed.) et al., Automorphic forms and the Langlands program. Selected papers of the conference on Langlands and geometric Langlands program, Guangzhou, China, June 18–21, 2007. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-141-4/pbk). Advanced Lectures in Mathematics (ALM) 9, 135-175 (2010). MSC: 11F72 11F70 PDF BibTeX XML Cite \textit{E. M. Lapid}, in: Automorphic forms and the Langlands program. Selected papers of the conference on Langlands and geometric Langlands program, Guangzhou, China, June 18--21, 2007. Somerville, MA: International Press; Beijing: Higher Education Press. 135--175 (2010; Zbl 1314.11039)
Boyer, Pascal Monodromy-weight conjecture for some unitary Shimura varieties. (Conjecture de monodromie-poids pour quelques variétés de Shimura unitaires.) (French) Zbl 1206.14045 Compos. Math. 146, No. 2, 367-403 (2010). Reviewer: Jérôme Poineau (Strasbourg) MSC: 14G22 14G35 11R39 14L05 11G45 PDF BibTeX XML Cite \textit{P. Boyer}, Compos. Math. 146, No. 2, 367--403 (2010; Zbl 1206.14045) Full Text: DOI
Cunningham, Clifton; Dembélé, Lassina Computing genus-2 Hilbert-Siegel modular forms over \(\mathbb Q(\sqrt{5})\) via the Jacquet-Langlands correspondence. (English) Zbl 1246.11102 Exp. Math. 18, No. 3, 337-345 (2009). Reviewer: Olaf Ninnemann (Berlin) MSC: 11F41 11F70 PDF BibTeX XML Cite \textit{C. Cunningham} and \textit{L. Dembélé}, Exp. Math. 18, No. 3, 337--345 (2009; Zbl 1246.11102) Full Text: DOI Euclid
Ciavarella, Miriam Congruences between modular forms and related modules. (English) Zbl 1189.11025 Funct. Approximatio, Comment. Math. 41, No. 1, 55-70 (2009). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F33 11F80 11G18 PDF BibTeX XML Cite \textit{M. Ciavarella}, Funct. Approximatio, Comment. Math. 41, No. 1, 55--70 (2009; Zbl 1189.11025) Full Text: DOI arXiv
Boyer, Pascal Monodromy of perverse sheaves on vanishing cycles on some Shimura varieties. (Monodromie du faisceau pervers des cycles évanescents de quelques variétés de Shimura simples.) (French) Zbl 1172.14016 Invent. Math. 177, No. 2, 239-280 (2009). Reviewer: Oliver Petras (Bonn) MSC: 14G22 14G35 11G09 11G35 11R39 14L05 11G45 11Fxx PDF BibTeX XML Cite \textit{P. Boyer}, Invent. Math. 177, No. 2, 239--280 (2009; Zbl 1172.14016) Full Text: DOI
Pande, Aftab Local constancy of dimensions of Hecke eigenspaces of automorphic forms. (English) Zbl 1239.11055 J. Number Theory 129, No. 1, 15-27 (2009). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F33 11F41 11F85 PDF BibTeX XML Cite \textit{A. Pande}, J. Number Theory 129, No. 1, 15--27 (2009; Zbl 1239.11055) Full Text: DOI arXiv
Badulescu, Alexandru Ioan Global Jacquet-Langlands correspondence, multiplicity one and classification of automorphic representations. With an appendix by Neven Grbac. (English) Zbl 1158.22018 Invent. Math. 172, No. 2, 383-438 (2008). Reviewer: Marcela Hanzer (Zagreb) MSC: 22E50 11F70 22E55 PDF BibTeX XML Cite \textit{A. I. Badulescu}, Invent. Math. 172, No. 2, 383--438 (2008; Zbl 1158.22018) Full Text: DOI arXiv
Strauch, Matthias Deformation spaces of one-dimensional formal modules and their cohomology. (English) Zbl 1140.22017 Adv. Math. 217, No. 3, 889-951 (2008). Reviewer: Samuel James Patterson (Göttingen) MSC: 22E50 20G25 14G35 11F70 PDF BibTeX XML Cite \textit{M. Strauch}, Adv. Math. 217, No. 3, 889--951 (2008; Zbl 1140.22017) Full Text: DOI arXiv
Liu, Jianya; Zhan, Tao The quadratic Waring-Goldbach problem. (Chinese. English summary) Zbl 1131.11349 J. Shandong Univ., Nat. Sci. 42, No. 2, 1-18 (2007). MSC: 11P05 11P32 PDF BibTeX XML Cite \textit{J. Liu} and \textit{T. Zhan}, J. Shandong Univ., Nat. Sci. 42, No. 2, 1--18 (2007; Zbl 1131.11349)
Badulescu, Alexandru Ioan Jacquet-Langlands correspondence and unitarizability. (Jacquet-Langlands et unitarisabilité.) (French) Zbl 1159.22005 J. Inst. Math. Jussieu 6, No. 3, 349-379 (2007). Reviewer: Vladimir L. Popov (Moskva) MSC: 22E35 11F70 20G05 20G25 20G30 PDF BibTeX XML Cite \textit{A. I. Badulescu}, J. Inst. Math. Jussieu 6, No. 3, 349--379 (2007; Zbl 1159.22005) Full Text: DOI
Tadić, Marko Representation theory of \(\mathrm{GL}(n)\) over a \(p\)-adic division algebra and unitarity in the Jacquet-Langlands correspondence. (English) Zbl 1124.22005 Pac. J. Math. 223, No. 1, 167-200 (2006). Reviewer: Rainer Schulze-Pillot (Saarbrücken) MSC: 22E50 11F70 11S37 22E35 PDF BibTeX XML Cite \textit{M. Tadić}, Pac. J. Math. 223, No. 1, 167--200 (2006; Zbl 1124.22005) Full Text: DOI
Henniart, Guy On the local Langlands and Jacquet–Langlands correspondences. (English) Zbl 1104.22018 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 1171-1182 (2006). Reviewer: Jeffrey Adler (Akron) MSC: 22E50 PDF BibTeX XML Cite \textit{G. Henniart}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 1171--1182 (2006; Zbl 1104.22018)
Ichino, Atsushi Pullbacks of Saito-Kurokawa lifts. (English) Zbl 1188.11020 Invent. Math. 162, No. 3, 551-647 (2005). MSC: 11F67 11F46 11F32 PDF BibTeX XML Cite \textit{A. Ichino}, Invent. Math. 162, No. 3, 551--647 (2005; Zbl 1188.11020) Full Text: DOI
Silberger, Allan J.; Zink, Ernst-Wilhelm An explicit matching theorem for level zero discrete series of unit groups of \(\mathfrak p\)-adic simple algebras. (English) Zbl 1087.22012 J. Reine Angew. Math. 585, 173-235 (2005). Reviewer: Martin Grabitz (Berlin) MSC: 22E50 11R39 PDF BibTeX XML Cite \textit{A. J. Silberger} and \textit{E.-W. Zink}, J. Reine Angew. Math. 585, 173--235 (2005; Zbl 1087.22012) Full Text: DOI
Strauch, Matthias On the Jacquet-Langlands correspondence in the cohomology of the Lubin-Tate deformation tower. (English) Zbl 1073.22010 Tilouine, Jacques (ed.) et al., Automorphic forms (I). Proceedings of the Semester of the Émile Borel Center, Paris, France, February 17–July 11, 2000. Paris: Société Mathématique de France (ISBN 2-85629-172-4/pbk). Astérisque 298, 391-410 (2005). Reviewer: Eugene Kryachko (Liège) MSC: 22E50 11S37 14G22 14L05 PDF BibTeX XML Cite \textit{M. Strauch}, Astérisque 298, 391--410 (2005; Zbl 1073.22010) Full Text: Link
Chenevier, Gaëtan A \(p\)-adic Jacquet-Langlands correspondence. (Une correspondance de Jacquet-Langlands \(p\)-adique.) (French) Zbl 1070.11016 Duke Math. J. 126, No. 1, 161-194 (2005). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F12 PDF BibTeX XML Cite \textit{G. Chenevier}, Duke Math. J. 126, No. 1, 161--194 (2005; Zbl 1070.11016) Full Text: DOI
Harris, Michael; Kudla, Stephen S. On a conjecture of Jacquet. (English) Zbl 1080.11039 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). 355-371 (2004). Reviewer: J. G. M. Mars (Utrecht) MSC: 11F70 22E55 11F66 PDF BibTeX XML Cite \textit{M. Harris} and \textit{S. S. Kudla}, 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. 355--371 (2004; Zbl 1080.11039) Full Text: Link arXiv
Risager, Morten S. Asymptotic densities of Maass newforms. (English) Zbl 1122.11035 J. Number Theory 109, No. 1, 96-119 (2004). MSC: 11F72 11F25 PDF BibTeX XML Cite \textit{M. S. Risager}, J. Number Theory 109, No. 1, 96--119 (2004; Zbl 1122.11035) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Local Jacquet-Langlands correspondence and parametric degrees. (English) Zbl 1048.22008 Manuscr. Math. 114, No. 1, 1-7 (2004). Reviewer: Osman Bizim (Bursa) MSC: 22E50 11F70 PDF BibTeX XML Cite \textit{C. J. Bushnell} and \textit{G. Henniart}, Manuscr. Math. 114, No. 1, 1--7 (2004; Zbl 1048.22008) Full Text: DOI
Iovita, Adrian; Spiess, Michael Derivatives of \(p\)-adic \(L\)-functions, Heegner cycles and monodromy modules attached to modular forms. (English) Zbl 1099.11032 Invent. Math. 154, No. 2, 333-384 (2003). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G40 11F11 11G18 11M38 PDF BibTeX XML Cite \textit{A. Iovita} and \textit{M. Spiess}, Invent. Math. 154, No. 2, 333--384 (2003; Zbl 1099.11032) Full Text: DOI
Silberger, Allan J.; Zink, Ernst-Wilhelm Weak explicit matching for level zero discrete series of unit groups of \(\mathfrak p\)-adic simple algebras. (English) Zbl 1028.22017 Can. J. Math. 55, No. 2, 353-378 (2003). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 22E50 11R39 PDF BibTeX XML Cite \textit{A. J. Silberger} and \textit{E.-W. Zink}, Can. J. Math. 55, No. 2, 353--378 (2003; Zbl 1028.22017) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Explicit unramified base change: \(\text{GL}(p)\) of a \(p\)-adic field. (English) Zbl 1012.22032 J. Number Theory 99, No. 1, 74-89 (2003). Reviewer: Jeffrey Adler (Akron) MSC: 22E50 11S37 11F70 PDF BibTeX XML Cite \textit{C. J. Bushnell} and \textit{G. Henniart}, J. Number Theory 99, No. 1, 74--89 (2003; Zbl 1012.22032) Full Text: DOI
Khare, Chandrashekhar A local analysis of congruences in the \((p,p)\) case. II. (English) Zbl 0971.11028 Invent. Math. 143, No. 1, 129-155 (2001). Reviewer: A.Dąbrowski (Szczecin) MSC: 11F33 11F80 PDF BibTeX XML Cite \textit{C. Khare}, Invent. Math. 143, No. 1, 129--155 (2001; Zbl 0971.11028) Full Text: DOI
Badulescu, Alexandru Ioan Orthogonality of characters of \(\text{GL}_n\) over a local field of non-zero characteristic. (Orthogonalité des caractères pour \(\text{GL}_n\) sur un corps local de caractéristique non nulle.) (French) Zbl 0957.20027 Manuscr. Math. 101, No. 1, 49-70 (2000). Reviewer: A.-M.Aubert (Paris) MSC: 20G05 20G25 22E50 11F70 PDF BibTeX XML Cite \textit{A. I. Badulescu}, Manuscr. Math. 101, No. 1, 49--70 (2000; Zbl 0957.20027) Full Text: DOI
Mori, Andrea; Terracini, Lea A canonical map between Hecke algebras. (English) Zbl 0933.11023 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 2, No. 2, 429-452 (1999). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11F33 11F11 11F32 PDF BibTeX XML Cite \textit{A. Mori} and \textit{L. Terracini}, Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 2, No. 2, 429--452 (1999; Zbl 0933.11023) Full Text: EuDML
Koyama, Shin-ya Prime geodesic theorem for arithmetic compact surfaces. (English) Zbl 0917.11019 Int. Math. Res. Not. 1998, No. 8, 383-388 (1998). Reviewer: A.A.Terras (La Jolla) MSC: 11F72 14J20 30F35 35P15 PDF BibTeX XML Cite \textit{S.-y. Koyama}, Int. Math. Res. Not. 1998, No. 8, 383--388 (1998; Zbl 0917.11019) Full Text: DOI
Harris, Michael Supercuspidal representations in the cohomology of Drinfel’d upper half spaces; elaboration of Carayol’s program. (English) Zbl 0886.11029 Invent. Math. 129, No. 1, 75-119 (1997). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11F70 14F20 PDF BibTeX XML Cite \textit{M. Harris}, Invent. Math. 129, No. 1, 75--119 (1997; Zbl 0886.11029) Full Text: DOI
Faltings, Gerd The trace formula and Drinfeld’s upper halfplane. (English) Zbl 0855.11061 Duke Math. J. 76, No. 2, 467-481 (1994). Reviewer: M.van der Put (Groningen) MSC: 11S37 11F85 14F20 PDF BibTeX XML Cite \textit{G. Faltings}, Duke Math. J. 76, No. 2, 467--481 (1994; Zbl 0855.11061) Full Text: DOI
Diamond, Fred; Taylor, Richard Lifting modular mod \(l\) representations. (English) Zbl 0809.11025 Duke Math. J. 74, No. 2, 253-269 (1994). Reviewer: G.Faltings (Bonn) MSC: 11F11 11F80 PDF BibTeX XML Cite \textit{F. Diamond} and \textit{R. Taylor}, Duke Math. J. 74, No. 2, 253--269 (1994; Zbl 0809.11025) Full Text: DOI
Diamond, Fred; Taylor, Richard Non-optimal levels of \(\text{mod }l\) modular representations. (English) Zbl 0847.11025 Invent. Math. 115, No. 3, 435-462 (1994). Reviewer: P.Bayer (Barcelona) MSC: 11F33 11G18 PDF BibTeX XML Cite \textit{F. Diamond} and \textit{R. Taylor}, Invent. Math. 115, No. 3, 435--462 (1994; Zbl 0847.11025) Full Text: DOI EuDML
Henniart, Guy Explicit Jacquet-Langlands correspondence. I: The tame case of prime degree. (Correspondance de Jacquet-Langlands explicite. I: Le cas modéré de degré premier.) (French) Zbl 0961.11018 David, Sinnou (ed.), Séminaire de théorie des nombres, Paris, France, 1990-1991. Basel: Birkhäuser. Prog. Math. 108, 85-114 (1993). Reviewer: Stephen Gelbart (Rehovot) MSC: 11F70 11F27 11R39 22E50 PDF BibTeX XML Cite \textit{G. Henniart}, Prog. Math. 108, 85--114 (1993; Zbl 0961.11018)
Waldspurger, Jean-Loup Correspondances de Shimura et quaternions. (Shimura correspondences and quaternions). (French) Zbl 0724.11026 Forum Math. 3, No. 3, 219-307 (1991). Reviewer: S.Friedberg (Santa Cruz) MSC: 11F32 11F27 22E50 11F70 11F67 PDF BibTeX XML Cite \textit{J.-L. Waldspurger}, Forum Math. 3, No. 3, 219--307 (1991; Zbl 0724.11026) Full Text: DOI EuDML
Hakim, Jeff Sur le caractère relatif. (On the relative character). (French) Zbl 0712.11032 C. R. Acad. Sci., Paris, Sér. I 310, No. 5, 243-244 (1990). MSC: 11F70 11S37 14C99 22E50 PDF BibTeX XML Cite \textit{J. Hakim}, C. R. Acad. Sci., Paris, Sér. I 310, No. 5, 243--244 (1990; Zbl 0712.11032)
Tandon, Rajat Computing the number of ways of representing primes by a norm form. (English) Zbl 0643.10022 Proc. Indian Acad. Sci., Math. Sci. 95, 127-132 (1986). Reviewer: S.Gelbart MSC: 11F11 11F70 11E45 PDF BibTeX XML Cite \textit{R. Tandon}, Proc. Indian Acad. Sci., Math. Sci. 95, 127--132 (1986; Zbl 0643.10022) Full Text: DOI
Jacquet, Hervé An introduction to the trace formula from the adelic point of view. (English) Zbl 0593.22016 The Selberg trace formula and related topics, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Brunswick/Maine 1984, Contemp. Math. 53, 351-355 (1986). Reviewer: A.Venkov MSC: 22E55 11F70 11R56 PDF BibTeX XML
Gérardin, Paul; Li, Wen-Ch’ing Winnie Fourier transforms of representations of quaternions. (English) Zbl 0553.12008 J. Reine Angew. Math. 359, 121-173 (1985). Reviewer: Paul Gérardin MSC: 11S45 22E50 11S37 PDF BibTeX XML Cite \textit{P. Gérardin} and \textit{W.-C. W. Li}, J. Reine Angew. Math. 359, 121--173 (1985; Zbl 0553.12008) Full Text: Crelle EuDML
Gérardin, Paul; Li, Wen-Ch’ing Winnie A functional equation for degree two local factors. (English) Zbl 0553.12007 Can. Math. Bull. 28, 355-371 (1985). Reviewer: Paul Gérardin MSC: 11S45 11S80 22E50 11R56 PDF BibTeX XML Cite \textit{P. Gérardin} and \textit{W.-C. W. Li}, Can. Math. Bull. 28, 355--371 (1985; Zbl 0553.12007) Full Text: DOI
Hina, Tatsuo; Masumoto, Hiroshi On representations of \({\mathfrak p}\)-adic split and non-split symplectic groups and their character relations. (English) Zbl 0533.12015 Proc. Japan Acad., Ser. A 59, 195-198 (1983). Reviewer: J.Repka MSC: 11S37 22E50 11S45 PDF BibTeX XML Cite \textit{T. Hina} and \textit{H. Masumoto}, Proc. Japan Acad., Ser. A 59, 195--198 (1983; Zbl 0533.12015) Full Text: DOI
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 PDF BibTeX XML Cite \textit{R. Howe} and \textit{I. I. Piatetski-Shapiro}, Duke Math. J. 50, 55--106 (1983; Zbl 0529.22012) Full Text: DOI
Rogawski, J. D.; Tunnell, J. B. On Artin L-functions associated to Hilbert modular forms of weight one. (English) Zbl 0523.12009 Invent. Math. 74, 1-42 (1983). MSC: 11R39 11F41 11F70 11R80 11R52 22E46 PDF BibTeX XML Cite \textit{J. D. Rogawski} and \textit{J. B. Tunnell}, Invent. Math. 74, 1--42 (1983; Zbl 0523.12009) Full Text: DOI EuDML
Gerardin, Paul Algèbres de quaternions. (English) Zbl 0539.12009 Variétés de Shimura et fonctions L, Publ. Math. Univ. Paris VII, No. 6, 145-155 (1979). Reviewer: D.Goss MSC: 11R52 11F70 11R39 11S40 11S45 PDF BibTeX XML