Hu, Yueke; Saha, Abhishek Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces. II: Newforms and subconvexity. (English) Zbl 07305887 Compos. Math. 156, No. 11, 2368-2398 (2020). MSC: 11F70 11F12 11F66 11F67 11F72 11F85 22E50 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{A. Saha}, Compos. Math. 156, No. 11, 2368--2398 (2020; Zbl 07305887) Full Text: DOI
Luo, Zhilin On the Braverman-Kazhdan proposal for local factors: spherical case. (English) Zbl 07178654 Pac. J. Math. 300, No. 2, 431-471 (2019). MSC: 11F70 22E45 22E35 PDF BibTeX XML Cite \textit{Z. Luo}, Pac. J. Math. 300, No. 2, 431--471 (2019; Zbl 07178654) Full Text: DOI
Beuzart-Plessis, Raphaël; Wan, Chen A local trace formula for the generalized Shalika model. (English) Zbl 1426.22011 Duke Math. J. 168, No. 7, 1303-1385 (2019). Reviewer: Zhengyu Mao (Newark) MSC: 22E50 11F72 11F70 PDF BibTeX XML Cite \textit{R. Beuzart-Plessis} and \textit{C. Wan}, Duke Math. J. 168, No. 7, 1303--1385 (2019; Zbl 1426.22011) Full Text: DOI Euclid
Anandavardhanan, U. K.; Matringe, Nadir Test vectors for local periods. (English) Zbl 1416.22016 Forum Math. 29, No. 6, 1245-1260 (2017). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 22E50 11F33 11F70 11F85 PDF BibTeX XML Cite \textit{U. K. Anandavardhanan} and \textit{N. Matringe}, Forum Math. 29, No. 6, 1245--1260 (2017; Zbl 1416.22016) Full Text: DOI arXiv
Lai, King Fai; Longhi, Ignazio; Tan, Ki-Seng; Trihan, Fabien The Iwasawa main conjecture for constant ordinary abelian varieties over function fields. (English) Zbl 1347.11078 Proc. Lond. Math. Soc. (3) 112, No. 6, 1040-1058 (2016). Reviewer: Andrea Bandini (Parma) MSC: 11R23 11R34 11R58 11S40 11G10 PDF BibTeX XML Cite \textit{K. F. Lai} et al., Proc. Lond. Math. Soc. (3) 112, No. 6, 1040--1058 (2016; Zbl 1347.11078) Full Text: DOI arXiv
Danişman, Yusuf Regular poles for the \(p\)-adic group \(\mathrm{GSp}_4\). II. (English) Zbl 1388.11026 Turk. J. Math. 39, No. 3, 369-394 (2015). MSC: 11F70 11F85 22E50 PDF BibTeX XML Cite \textit{Y. Danişman}, Turk. J. Math. 39, No. 3, 369--394 (2015; Zbl 1388.11026) Full Text: DOI Link
Anandavardhanan, U. K.; Kumar Mondal, Amiya On the degree of certain local \(L\)-functions. (English) Zbl 1321.22018 Pac. J. Math. 276, No. 1, 1-17 (2015). Reviewer: Yuval Z. Flicker (Columbus) MSC: 22E50 11F33 11F70 11F85 PDF BibTeX XML Cite \textit{U. K. Anandavardhanan} and \textit{A. Kumar Mondal}, Pac. J. Math. 276, No. 1, 1--17 (2015; Zbl 1321.22018) Full Text: DOI
Heiermann, Volker; Opdam, Eric On the tempered \(L\)-functions conjecture. (English) Zbl 1331.11036 Am. J. Math. 135, No. 3, 777-799 (2013). Reviewer: Dubravka Ban (Carbondale) MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{V. Heiermann} and \textit{E. Opdam}, Am. J. Math. 135, No. 3, 777--799 (2013; Zbl 1331.11036) Full Text: DOI arXiv
Gerasimov, Anton A.; Lebedev, Dimitri R. Representation theory over tropical semifield and Langlands duality. (English) Zbl 1323.11097 Commun. Math. Phys. 320, No. 2, 301-346 (2013). Reviewer: Daniel Moskovich (Beer-Sheva) MSC: 11S37 33D80 22E50 81T45 11M36 14T05 17B37 PDF BibTeX XML Cite \textit{A. A. Gerasimov} and \textit{D. R. Lebedev}, Commun. Math. Phys. 320, No. 2, 301--346 (2013; Zbl 1323.11097) Full Text: DOI arXiv
Januszewski, Fabian Modular symbols for reductive groups and \(p\)-adic Rankin-Selberg convolutions over number fields. (English) Zbl 1288.11049 J. Reine Angew. Math. 653, 1-45 (2011). Reviewer: Zhengyu Mao (Newark) MSC: 11F67 11F70 11G18 22E55 PDF BibTeX XML Cite \textit{F. Januszewski}, J. Reine Angew. Math. 653, 1--45 (2011; Zbl 1288.11049) Full Text: DOI arXiv
Matringe, Nadir Distinguished representations and exceptional poles of the Asai \(L\)-function. (English) Zbl 1218.11051 Manuscr. Math. 131, No. 3-4, 415-426 (2010). MSC: 11F70 11F85 22E50 PDF BibTeX XML Cite \textit{N. Matringe}, Manuscr. Math. 131, No. 3--4, 415--426 (2010; Zbl 1218.11051) Full Text: DOI
Urban, Eric Selmer groups and the Eisenstein-Klingen ideal. (English) Zbl 1061.11027 Duke Math. J. 106, No. 3, 485-525 (2001). MSC: 11F80 11F46 11F75 11F85 11G18 11R23 11R33 11S25 PDF BibTeX XML Cite \textit{E. Urban}, Duke Math. J. 106, No. 3, 485--525 (2001; Zbl 1061.11027) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{J.-L. Kim} and \textit{I. I. Piatetski-Shapiro}, Isr. J. Math. 123, 317--340 (2001; Zbl 0973.22012) Full Text: DOI
Shahidi, Freydoon Twists of a general class of \(L\)-functions by highly ramified characters. (English) Zbl 1016.11016 Can. Math. Bull. 43, No. 3, 380-384 (2000). MSC: 11F70 22E35 22E50 PDF BibTeX XML Cite \textit{F. Shahidi}, Can. Math. Bull. 43, No. 3, 380--384 (2000; Zbl 1016.11016) Full Text: DOI
Connes, Alain Noncommutative geometry and the Riemann zeta function. (English) Zbl 0960.11042 Arnold, V. (ed.) et al., Mathematics: frontiers and perspectives. Providence, RI: American Mathematical Society (AMS). 35-54 (2000). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 11M26 11-02 11-03 46L87 11R37 81R40 11S31 11M06 11M36 58B34 14G10 58J50 PDF BibTeX XML Cite \textit{A. Connes}, in: Mathematics: frontiers and perspectives. Providence, RI: American Mathematical Society (AMS). 35--54 (2000; Zbl 0960.11042)
Guo, Li Hecke characters and formal group characters. (English) Zbl 0993.11063 Ahlgren, Scott D. (ed.) et al., Topics in number theory. In honor of B. Gordon and S. Chowla. Proceedings of the conference, Pennsylvania State University, University Park, PA, USA, July 31-August 3, 1997. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 467, 181-192 (1999). Reviewer: T.Nguyen Quang Do (Besançon) MSC: 11S31 11G40 14G10 11R42 19F27 PDF BibTeX XML Cite \textit{L. Guo}, in: Topics in number theory. In honor of B. Gordon and S. Chowla. Proceedings of the conference, Pennsylvania State University, University Park, PA, USA, July 31--August 3, 1997. Dordrecht: Kluwer Academic Publishers. 181--192 (1999; Zbl 0993.11063)
Ginzburg, David; Rallis, Stephen; Soudry, David \(L\)-functions for symplectic groups. (English) Zbl 0928.11026 Bull. Soc. Math. Fr. 126, No. 2, 181-244 (1998). Reviewer: J.G.M.Mars (Utrecht) MSC: 11F70 11F85 22E55 PDF BibTeX XML Cite \textit{D. Ginzburg} et al., Bull. Soc. Math. Fr. 126, No. 2, 181--244 (1998; Zbl 0928.11026) Full Text: DOI Link Numdam EuDML
Trihan, Fabien Unity of the \(L\)-function of a Barsotti-Tate group. (Fonction \(L\) unité d’un groupe de Barsotti-Tate.) (French) Zbl 0968.14007 Manuscr. Math. 96, No. 4, 397-419 (1998). MSC: 14G10 14F30 14L05 PDF BibTeX XML Cite \textit{F. Trihan}, Manuscr. Math. 96, No. 4, 397--419 (1998; Zbl 0968.14007) Full Text: DOI
Chinburg, T.; Erez, B.; Pappas, G.; Taylor, M. J. On the \(\varepsilon\)-constants of arithmetic schemes. (English) Zbl 0927.14012 Math. Ann. 311, No. 2, 377-395 (1998). Reviewer: A.N.Parshin (Moskva) MSC: 14G10 14G40 14M17 14L30 20G05 11S99 PDF BibTeX XML Cite \textit{T. Chinburg} et al., Math. Ann. 311, No. 2, 377--395 (1998; Zbl 0927.14012) Full Text: DOI
Hellegouarch, Yves Invitation to the mathematics of Fermat-Wiles. (Invitation aux mathématiques de Fermat-Wiles.) (French) Zbl 0887.11003 Enseignement des Mathématiques. Paris: Masson. vii, 397 p. (1997). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11-02 11D41 11F11 11G05 11G18 PDF BibTeX XML Cite \textit{Y. Hellegouarch}, Invitation aux mathématiques de Fermat-Wiles. Paris: Masson (1997; Zbl 0887.11003)
Taylor, Richard \(l\)-adic representations associated to modular forms over imaginary quadratic fields. II. (English) Zbl 0823.11020 Invent. Math. 116, No. 1-3, 619-643 (1994). Reviewer: S.Friedberg (Santa Cruz) MSC: 11F70 11F33 11F75 11F46 11F55 11G05 11F80 14G20 PDF BibTeX XML Cite \textit{R. Taylor}, Invent. Math. 116, No. 1--3, 619--643 (1994; Zbl 0823.11020) Full Text: DOI EuDML
Hida, Haruzo Modular \(p\)-adic \(L\)-functions and \(p\)-adic Hecke algebras. (English. Japanese original) Zbl 0811.11040 Transl., Ser. 2, Am. Math. Soc. 160, 125-154 (1994); translation from Sūgaku 44, No. 4, 289-305 (1992). Reviewer: K.I.Ohta (Tokyo) MSC: 11F85 11S37 20G25 PDF BibTeX XML Full Text: DOI
Adolphson, Alan; Sperber, Steven Twisted exponential sums and Newton polyhedra. (English) Zbl 0853.11067 J. Reine Angew. Math. 443, 151-177 (1993). MSC: 11L07 14M25 14G10 11T23 14G15 PDF BibTeX XML Cite \textit{A. Adolphson} and \textit{S. Sperber}, J. Reine Angew. Math. 443, 151--177 (1993; Zbl 0853.11067) Full Text: Crelle EuDML
Zhu, Xiao-Wei The classification of spinors under \(GSpin_{14}\) over finite fields. (English) Zbl 0798.22007 Trans. Am. Math. Soc. 333, No. 1, 95-114 (1992). Reviewer: M.Muro (Yanagido) MSC: 22E50 11S40 14M17 14G10 20G40 22E35 43A85 33C80 PDF BibTeX XML Cite \textit{X.-W. Zhu}, Trans. Am. Math. Soc. 333, No. 1, 95--114 (1992; Zbl 0798.22007) Full Text: DOI
Teitelbaum, Jeremy T. The Poisson kernel for Drinfeld modular curves. (English) Zbl 0735.11025 J. Am. Math. Soc. 4, No. 3, 491-511 (1991). Reviewer: D. Goss (Columbus) MSC: 11G09 11R58 11F85 14G20 11F67 14L05 11T55 PDF BibTeX XML Cite \textit{J. T. Teitelbaum}, J. Am. Math. Soc. 4, No. 3, 491--511 (1991; Zbl 0735.11025) 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: A.A.Terras (La Jolla) MSC: 11F70 11-02 11F72 22-02 22E47 22E50 22E55 11F66 PDF BibTeX XML Cite \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)
Hashimoto, Ki-ichiro Zeta functions of finite graphs and representations of \(p\)-adic groups. (English) Zbl 0709.22005 Automorphic forms and geometry of arithmetic varieties, Adv. Stud. Pure Math. 15, 211-280 (1989). Reviewer: Masakazu Muro (Gifu) MSC: 11M38 05C25 22E40 22E35 PDF BibTeX XML
Hashimoto, Ki-ichiro; Hori, Akira Selberg-Ihara’s zeta function for \(p\)-adic discrete groups. (English) Zbl 0709.22004 Automorphic forms and geometry of arithmetic varieties, Adv. Stud. Pure Math. 15, 171-210 (1989). Reviewer: Masakazu Muro (Gifu) MSC: 11M38 11M36 22E40 22E35 PDF BibTeX XML
Morishita, Masanori Iwasawa theoretical residue formulas for algebraic tori. (English) Zbl 0699.12019 Proc. Japan Acad., Ser. A 65, No. 1, 21-24 (1989). Reviewer: Günter Tamme (Regensburg) MSC: 11R23 11E72 11G40 11R42 PDF BibTeX XML Cite \textit{M. Morishita}, Proc. Japan Acad., Ser. A 65, No. 1, 21--24 (1989; Zbl 0699.12019) Full Text: DOI
Schmidt, C.-G. p-adic measures attached to automorphic representations of GL(3). (English) Zbl 0656.10023 Invent. Math. 92, No. 3, 597-631 (1988). Reviewer: N.V.Kuznetsov MSC: 11F33 22E55 11F67 11F70 11F80 PDF BibTeX XML Cite \textit{C. G. Schmidt}, Invent. Math. 92, No. 3, 597--631 (1988; Zbl 0656.10023) Full Text: DOI EuDML
Bump, Daniel Barnes’ second lemma and its application to Rankin-Selberg convolutions. (English) Zbl 0639.10021 Am. J. Math. 110, No. 1, 179-185 (1988). Reviewer: J.Elstrodt MSC: 11F70 11F33 33B15 22E50 33C10 PDF BibTeX XML Cite \textit{D. Bump}, Am. J. Math. 110, No. 1, 179--185 (1988; Zbl 0639.10021) Full Text: DOI
Hashimoto, Ki-ichiro; Hori, Akira Selberg-Ihara’s zeta-function for \(p\)-adic discrete groups. (English) Zbl 0638.10030 Math. Gottingensis, Schriftenr. Sonderforschungsbereichs Geom. Anal. 1, 40 p. (1988). Reviewer: S. Raghavan (Mumbai) MSC: 11M36 11F72 22E40 20E42 PDF BibTeX XML
Soulé, Christophe p-adic K-theory of elliptic curves. (English) Zbl 0627.14010 Duke Math. J. 54, 249-269 (1987). Reviewer: F.Herrlich MSC: 14C35 14G25 14G10 14H25 14H52 14H45 PDF BibTeX XML Cite \textit{C. Soulé}, Duke Math. J. 54, 249--269 (1987; Zbl 0627.14010) Full Text: DOI
Goss, David Analogies between global fields. (English) Zbl 0619.12009 Number theory, Proc. Conf., Montreal/Can. 1985, CMS Conf. Proc. 7, 83-114 (1987). MSC: 11R58 14G15 11B39 14H05 11R23 11R18 11R42 PDF BibTeX XML
Coombes, Kevin R. Local class field theory for curves. (English) Zbl 0601.14025 Applications of algebraic K-theory to algebraic geometry and number theory, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Boulder/Colo. 1983, Part I, Contemp. Math. 55, 117-134 (1986). Reviewer: Yu. G. Zarhin (Moskva) MSC: 14H30 14C35 11S31 14H05 18F25 PDF BibTeX XML
Igusa, Jun-ichi On functional equations of complex powers. (English) Zbl 0599.12017 Invent. Math. 85, 1-29 (1986). Reviewer: S.Raghavan MSC: 11S40 39B52 14L30 22E50 46F12 46F05 14M17 PDF BibTeX XML Cite \textit{J.-i. Igusa}, Invent. Math. 85, 1--29 (1986; Zbl 0599.12017) Full Text: DOI EuDML
Goss, David; Sinnott, Warren Class-groups of function fields. (English) Zbl 0571.12006 Duke Math. J. 52, 507-516 (1985). MSC: 11R58 14F30 14H05 14G10 11R23 PDF BibTeX XML Cite \textit{D. Goss} and \textit{W. Sinnott}, Duke Math. J. 52, 507--516 (1985; Zbl 0571.12006) Full Text: DOI
Mazur, B. Modular curves and arithmetic. (English) Zbl 0597.14023 Proc. Int. Congr. Math., Warszawa 1983, Vol. 1, 185-211 (1984). Reviewer: S.Kamienny MSC: 14H25 14K22 11F27 14H52 14G25 14G20 14H45 11G15 PDF BibTeX XML
Deligne, Pierre Local fields of characteristic \(p\) as limits of local fields of characteristic 0. (Les corps locaux de caractéristique \(p\), limites de corps locaux de caractéristique 0.) (French) Zbl 0578.12014 Représentations des groupes réductifs sur un corps local, Travaux en Cours, 120-157 (1984). Reviewer: J.Repka MSC: 11S37 22E50 11S15 11F85 PDF BibTeX XML
Goss, David The arithmetic of function fields. II: The ’cyclotomic’ theory. (English) Zbl 0516.12010 J. Algebra 81, 107-149 (1983). MSC: 11R58 11R18 14G10 11R42 11S40 11R27 11R39 11F67 11F11 11M06 14G99 14L05 14H05 14G15 14H25 11B39 11R04 11R37 PDF BibTeX XML Cite \textit{D. Goss}, J. Algebra 81, 107--149 (1983; Zbl 0516.12010) Full Text: DOI
Coleman, Robert F. Dilogarithms, regulators and \(p\)-adic \(L\)-functions. (English) Zbl 0516.12017 Invent. Math. 69, 171-208 (1982). Reviewer: F. van der Blij MSC: 11S40 11S70 30G06 33B30 14G20 14G10 19C99 PDF BibTeX XML Cite \textit{R. F. Coleman}, Invent. Math. 69, 171--208 (1982; Zbl 0516.12017) Full Text: DOI EuDML
Tadic, Marko Harmonic analysis on reductive groups over local fields. (English) Zbl 0476.22011 Ber. Math.-Stat. Sekt. Forschungszent. Graz 161, 11 p. (1981). MSC: 22E35 43A15 43A80 22E50 PDF BibTeX XML
Wang, S. P. On density properties of certain subgroups with boundedness conditions. (English) Zbl 0421.22004 Monatsh. Math. 89, 141-162 (1980). MSC: 22D15 43A15 20G25 57S99 PDF BibTeX XML Cite \textit{S. P. Wang}, Monatsh. Math. 89, 141--162 (1980; Zbl 0421.22004) Full Text: DOI EuDML
Gelbart, Stephen; Howe, Roger; Piatetski-Shapiro, Ilya I. Uniqueness and existence of Whittaker models for the metaplectic group. (English) Zbl 0441.22015 Isr. J. Math. 34, 21-37 (1979). MSC: 22E50 43A90 11F85 PDF BibTeX XML Cite \textit{S. Gelbart} et al., Isr. J. Math. 34, 21--37 (1979; Zbl 0441.22015) Full Text: DOI
Harris, Michael \(p\)-adic representations arising from descent on Abelian varieties. (English) Zbl 0417.14034 Compos. Math. 39, 177-245 (1979); correction ibid. 121, No. 1, 105-108 (2000). Reviewer: G. Frey MSC: 14K15 11R23 11G10 14G05 14G10 11G40 11S40 11R34 22E55 PDF BibTeX XML Cite \textit{M. Harris}, Compos. Math. 39, 177--245 (1979; Zbl 0417.14034) Full Text: Numdam EuDML
Katz, Nicholas M. \(p\)-adic \(L\)-functions for CM fields. (English) Zbl 0417.12003 Invent. Math. 49, No. 3-4, 199-297 (1978). Reviewer: S. Raghavan (Mumbai) MSC: 11S40 11S80 12H25 11F41 14G10 11G15 PDF BibTeX XML Cite \textit{N. M. Katz}, Invent. Math. 49, 199--297 (1978; Zbl 0417.12003) Full Text: DOI EuDML