Gross, Benedict H.; Dasgupta, Samit Two encounters with the p-adic Stark conjecture. arXiv:2303.03299 Preprint, arXiv:2303.03299 [math.NT] (2023). MSC: 11R42 BibTeX Cite \textit{B. H. Gross} and \textit{S. Dasgupta}, ``Two encounters with the p-adic Stark conjecture'', Preprint, arXiv:2303.03299 [math.NT] (2023) Full Text: arXiv OA License
Gross, Benedict H. The road to GGP. (English) Zbl 1518.11042 Pure Appl. Math. Q. 18, No. 5, 2131-2157 (2022). Reviewer: Zhengyu Mao (Newark) MSC: 11F70 22E50 11F66 PDFBibTeX XMLCite \textit{B. H. Gross}, Pure Appl. Math. Q. 18, No. 5, 2131--2157 (2022; Zbl 1518.11042) Full Text: DOI
Gan, Wee Teck; Gross, Benedict H.; Prasad, Dipendra Branching laws for classical groups: the non-tempered case. (English) Zbl 1470.11126 Compos. Math. 156, No. 11, 2298-2367 (2020). Reviewer: Salah Mehdi (Metz) MSC: 11F70 22E55 PDFBibTeX XMLCite \textit{W. T. Gan} et al., Compos. Math. 156, No. 11, 2298--2367 (2020; Zbl 1470.11126) Full Text: DOI arXiv
Gross, Benedict H. Trivial \(L\)-functions for the rational function field. (English) Zbl 1318.11147 J. Number Theory 133, No. 3, 970-976 (2013). Reviewer: Olaf Ninnemann (Berlin) MSC: 11R42 11R58 PDFBibTeX XMLCite \textit{B. H. Gross}, J. Number Theory 133, No. 3, 970--976 (2013; Zbl 1318.11147) Full Text: DOI
Gan, Wee Teck; Gross, Benedict H.; Prasad, Dipendra Symplectic local root numbers, central critical \(L\)-values, and restriction problems in the representation theory of classical groups. (English) Zbl 1280.22019 Gan, Wee Teck et al., Sur les conjectures de Gross et Prasad. I. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-348-5/pbk). Astérisque 346, 1-109 (2012). Reviewer: Marcela Hanzer (Zagreb) MSC: 22E50 22E55 11F70 11R39 PDFBibTeX XMLCite \textit{W. T. Gan} et al., Astérisque 346, 1--109 (2012; Zbl 1280.22019) Full Text: arXiv
Gross, Benedict H. Lectures on the conjecture of Birch and Swinnerton-Dyer. (English) Zbl 1285.11096 Popescu, Cristian (ed.) et al., Arithmetic of \(L\)-functions. Lecture notes from the IAS/Park City Mathematics Institute (PCMI) graduate summer school, Park City, UT, USA, 2009. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study. (ISBN 978-0-8218-5320-7/hbk). IAS/Park City Mathematics Series 18, 169-209 (2011). Reviewer: Matteo Longo (Padova) MSC: 11G40 11G05 11-02 PDFBibTeX XMLCite \textit{B. H. Gross}, IAS/Park City Math. Ser. 18, 169--209 (2011; Zbl 1285.11096)
Gross, Benedict H. Irreducible cuspidal representations with prescribed local behavior. (English) Zbl 1228.22017 Am. J. Math. 133, No. 5, 1231-1258 (2011). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 PDFBibTeX XMLCite \textit{B. H. Gross}, Am. J. Math. 133, No. 5, 1231--1258 (2011; Zbl 1228.22017) Full Text: DOI
Gross, Benedict H. The arithmetic of elliptic curves – an update. (English) Zbl 1229.11088 Arab. J. Sci. Eng. (AJSE), Math. 34, No. 1D, 95-103 (2009). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11G05 11G40 11-02 PDFBibTeX XMLCite \textit{B. H. Gross}, Arab. J. Sci. Eng. (AJSE), Math. 34, No. 1D, 95--103 (2009; Zbl 1229.11088)
Gross, Benedict H. On the values of Artin \(L\)-functions. (English) Zbl 1169.11050 Pure Appl. Math. Q. 1, No. 1, 1-13 (2005). Reviewer: Florin Nicolae (Berlin) MSC: 11R42 11R70 19F27 PDFBibTeX XMLCite \textit{B. H. Gross}, Pure Appl. Math. Q. 1, No. 1, 1--13 (2005; Zbl 1169.11050) Full Text: DOI
Gross, Benedict H.; Pollack, David On the Euler characteristic of the discrete spectrum. (English) Zbl 1080.11041 J. Number Theory 110, No. 1, 136-163 (2005). Reviewer: Florin Nicolae (Berlin) MSC: 11F72 11F70 22E41 22E55 PDFBibTeX XMLCite \textit{B. H. Gross} and \textit{D. Pollack}, J. Number Theory 110, No. 1, 136--163 (2005; Zbl 1080.11041) Full Text: DOI
Gross, Benedict H. Heegner points and representation theory. (English) Zbl 1126.11032 Darmon, Henri (ed.) et al., Heegner points and Rankin \(L\)-series. Papers from the workshop on special values of Rankin \(L\)-series, Berkeley, CA, USA, December 2001. Cambridge: Cambridge University Press (ISBN 0-521-83659-X/hbk; 0-511-20831-6/e-book). Mathematical Sciences Research Institute Publications 49, 37-65 (2004). Reviewer: Florin Nicolae (Berlin) MSC: 11G18 11F67 11F70 PDFBibTeX XMLCite \textit{B. H. Gross}, Math. Sci. Res. Inst. Publ. 49, 37--65 (2004; Zbl 1126.11032) Full Text: Link
Birch, Bryan; Gross, Benedict Correspondence. (English) Zbl 1073.11002 Darmon, Henri (ed.) et al., Heegner points and Rankin \(L\)-series. Papers from the workshop on special values of Rankin \(L\)-series, Berkeley, CA, USA, December 2001. Cambridge: Cambridge University Press (ISBN 0-521-83659-X/hbk). Mathematical Sciences Research Institute Publications 49, 11-23 (2004). Reviewer: Florin Nicolae (Berlin) MSC: 11-03 01A60 11G05 11G40 11G18 PDFBibTeX XMLCite \textit{B. Birch} and \textit{B. Gross}, Math. Sci. Res. Inst. Publ. 49, 11--23 (2004; Zbl 1073.11002) Full Text: Link
Gross, Benedict H. Some remarks on signs in functional equations. (English) Zbl 1057.11052 Ramanujan J. 7, No. 1-3, 91-93 (2003). Reviewer: J. V. Armitage (Durham) MSC: 11R42 PDFBibTeX XMLCite \textit{B. H. Gross}, Ramanujan J. 7, No. 1--3, 91--93 (2003; Zbl 1057.11052) Full Text: DOI
Gross, Benedict H. On the Satake isomorphism. (English) Zbl 0996.11038 Scholl, A. J. (ed.) et al., Galois representations in arithmetic algebraic geometry. Proceedings of the symposium, Durham, UK, July 9-18, 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 254, 223-237 (1998). MSC: 11F70 22E50 PDFBibTeX XMLCite \textit{B. H. Gross}, Lond. Math. Soc. Lect. Note Ser. 254, 223--237 (1998; Zbl 0996.11038) Backlinks: MO
Gross, Benedict H. On the motive of \(G\) and the principal homomorphism \(\text{SL}_2\to\widehat G\). (English) Zbl 0942.20031 Asian J. Math. 1, No. 1, 208-213 (1997). MSC: 20G25 11S37 22E50 20G15 14G10 14A20 PDFBibTeX XMLCite \textit{B. H. Gross}, Asian J. Math. 1, No. 1, 208--213 (1997; Zbl 0942.20031) Full Text: DOI
Gross, Benedict H. On the motive of a reductive group. (English) Zbl 0904.11014 Invent. Math. 130, No. 2, 287-313 (1997). Reviewer: L.N.Vaserstein (University Park) MSC: 11G40 14A20 11G09 20G30 20G35 PDFBibTeX XMLCite \textit{B. H. Gross}, Invent. Math. 130, No. 2, 287--313 (1997; Zbl 0904.11014) Full Text: DOI
Gross, Benedict H.; Schoen, Chad The modified diagonal cycle on the triple product of a pointed curve. (English) Zbl 0822.14015 Ann. Inst. Fourier 45, No. 3, 649-679 (1995). MSC: 14G40 14G05 14H25 14G35 14C25 11G18 PDFBibTeX XMLCite \textit{B. H. Gross} and \textit{C. Schoen}, Ann. Inst. Fourier 45, No. 3, 649--679 (1995; Zbl 0822.14015) Full Text: DOI Numdam EuDML
Gross, Benedict H. \(L\)-functions at the central critical point. (English) Zbl 0807.14015 Jannsen, Uwe (ed.) et al., Motives. Proceedings of the summer research conference on motives, held at the University of Washington, Seattle, WA, USA, July 20-August 2, 1991. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 55, Pt. 1, 527-535 (1994). Reviewer: M.Muro (Yanagido) MSC: 14G10 19F27 11G40 11R42 PDFBibTeX XMLCite \textit{B. H. Gross}, Proc. Symp. Pure Math. 55, 527--535 (1994; Zbl 0807.14015)
Gross, Benedict H.; Kudla, Stephen S. Heights and the central critical values of triple product \(L\)-functions. (English) Zbl 0807.11027 Compos. Math. 81, No. 2, 143-209 (1992). Reviewer: J.G.M.Mars (Utrecht) MSC: 11F67 PDFBibTeX XMLCite \textit{B. H. Gross} and \textit{S. S. Kudla}, Compos. Math. 81, No. 2, 143--209 (1992; Zbl 0807.11027) Full Text: Numdam EuDML
Gross, Benedict H. Elliptic curves and modular forms. (English) Zbl 1011.11503 Browder, Felix E. (ed.), Mathematics into the twenty-first century. Proceedings of the AMS centennial symposium, Providence, RI, USA, August 8-12, 1988. Providence, RI: American Mathematical Society. Am. Math. Soc. Centen. Publ. 2, 85-88 (1992). MSC: 11G40 11F11 11G05 PDFBibTeX XMLCite \textit{B. H. Gross}, Am. Math. Soc. Centen. Publ. 2, 85--88 (1992; Zbl 1011.11503)
Gross, Benedict H. Some applications of Gel’fand pairs to number theory. (English) Zbl 0733.11018 Bull. Am. Math. Soc., New Ser. 24, No. 2, 277-301 (1991). Reviewer: W.Kohnen (Münster) MSC: 11F66 11F67 22D12 22E50 11F70 PDFBibTeX XMLCite \textit{B. H. Gross}, Bull. Am. Math. Soc., New Ser. 24, No. 2, 277--301 (1991; Zbl 0733.11018) Full Text: DOI
Gross, Benedict H. Kolyvagin’s work on modular elliptic curves. (English) Zbl 0743.14021 \(L\)-functions and arithmetic, Proc. Symp., Durham/UK 1989, Lond. Math. Soc. Lect. Note Ser. 153, 235-256 (1991). Reviewer: H.-G.Rück (Essen) MSC: 14H52 14G10 14G35 11G40 PDFBibTeX XMLCite \textit{B. H. Gross}, Lond. Math. Soc. Lect. Note Ser. None, 235--256 (1991; Zbl 0743.14021)
Gross, Benedict H. On the values of abelian \(L\)-functions at \(s=0\). (English) Zbl 0681.12005 J. Fac. Sci., Univ. Tokyo, Sect. I A 35, No. 1, 177-197 (1988). Reviewer: Zhang Xianke MSC: 11R42 11G40 PDFBibTeX XMLCite \textit{B. H. Gross}, J. Fac. Sci., Univ. Tokyo, Sect. I A 35, No. 1, 177--197 (1988; Zbl 0681.12005)
Gross, Benedict H. Local orders, root numbers, and modular curves. (English) Zbl 0675.12011 Am. J. Math. 110, No. 6, 1153-1182 (1988). Reviewer: J.G.M.Mars MSC: 11S45 11F70 11S40 11S37 20G25 14H25 PDFBibTeX XMLCite \textit{B. H. Gross}, Am. J. Math. 110, No. 6, 1153--1182 (1988; Zbl 0675.12011) Full Text: DOI
Gross, Benedict; Rosen, Michael Fourier series and the special values of \(L\)-functions. (English) Zbl 0649.12009 Adv. Math. 69, No. 1, 1-31 (1988). Reviewer: Ekkehard Krätzel (Jena) MSC: 11R42 43A32 11R58 PDFBibTeX XMLCite \textit{B. Gross} and \textit{M. Rosen}, Adv. Math. 69, No. 1, 1--31 (1988; Zbl 0649.12009) Full Text: DOI
Gross, Benedict H. Heights and L-series. (English) Zbl 0665.14010 Proc. Int. Congr. Math., Berkeley/Calif. 1986, Vol. 1, 425-433 (1987). Reviewer: D.Gross MSC: 14H25 11F03 14G10 14H52 PDFBibTeX XML
Gross, B.; Kohnen, W.; Zagier, Don Heegner points and derivatives of \(L\)-series. II. (English) Zbl 0641.14013 Math. Ann. 278, 497-562 (1987). Reviewer: W.Kohnen MSC: 14H25 11F50 11G18 14H40 14G10 11G40 PDFBibTeX XMLCite \textit{B. Gross} et al., Math. Ann. 278, 497--562 (1987; Zbl 0641.14013) Full Text: DOI EuDML
Gross, Benedict H. Heights and the special values of \(L\)-series. (English) Zbl 0623.10019 Number theory, Proc. Conf., Montreal/Can. 1985, CMS Conf. Proc. 7, 115-187 (1987). Reviewer: S.Kamienny MSC: 11F67 14G10 14H25 11R52 11F11 14H52 PDFBibTeX XML
Gross, Benedict H.; Zagier, Don B. Heegner points and derivatives of \(L\)-series. (English) Zbl 0608.14019 Invent. Math. 84, 225-320 (1986). Reviewer: Winfried Kohnen (Heidelberg) MSC: 11G40 11F11 11G05 14G10 PDFBibTeX XMLCite \textit{B. H. Gross} and \textit{D. B. Zagier}, Invent. Math. 84, 225--320 (1986; Zbl 0608.14019) Full Text: DOI EuDML
Buhler, Joe P.; Gross, Benedict H. Arithmetic on elliptic curves with complex multiplication. II. (English) Zbl 0584.14027 Invent. Math. 79, 11-29 (1985). Reviewer: Lawrence G. Roberts MSC: 11G40 11G15 11G05 14H45 PDFBibTeX XMLCite \textit{J. P. Buhler} and \textit{B. H. Gross}, Invent. Math. 79, 11--29 (1985; Zbl 0584.14027) Full Text: DOI EuDML
Gross, Benedict H. Heegner points on \(X_ 0(N)\). (English) Zbl 0559.14011 Modular forms, Symp. Durham/Engl. 1983, 87-105 (1984). Reviewer: David Goss (Columbus/Ohio) MSC: 11G05 11G16 11G40 PDFBibTeX XML
Gross, Benedict; Zagier, Don Heegner points and derivatives of \(L\)-functions. (Points de Heegner et dérivées de fonctions \(L\).) (French) Zbl 0538.14023 C. R. Acad. Sci., Paris, Sér. I 297, 85-87 (1983). Reviewer: David Goss (Columbus/Ohio) MSC: 11G40 11F11 14G10 14K15 11R29 11R11 PDFBibTeX XMLCite \textit{B. Gross} and \textit{D. Zagier}, C. R. Acad. Sci., Paris, Sér. I 297, 85--87 (1983; Zbl 0538.14023)
Gross, Benedict H. On the conjecture of Birch and Swinnerton-Dyer for elliptic curves with complex multiplication. (English) Zbl 0506.14040 Number theory related to Fermat’s last theorem, Proc. Conf., Prog. Math. 26, 219-236 (1982). Reviewer: C,-G. Schmidt MSC: 11G40 11G15 11G05 14H45 PDFBibTeX XML
Gross, Benedict H. p-adic L-series at s=0. (English) Zbl 0507.12010 J. Fac. Sci., Univ. Tokyo, Sect. I A 28, 979-994 (1981). MSC: 11S40 11R80 11R37 PDFBibTeX XMLCite \textit{B. H. Gross}, J. Fac. Sci., Univ. Tokyo, Sect. I A 28, 979--994 (1981; Zbl 0507.12010)
Federer, Leslie Jane; Gross, Benedict H. Regulators and Iwasawa modules. (English) Zbl 0468.12005 Invent. Math. 62, 443-457 (1981). MSC: 11R37 11R23 11R42 11R18 PDFBibTeX XMLCite \textit{L. J. Federer} and \textit{B. H. Gross}, Invent. Math. 62, 443--457 (1981; Zbl 0468.12005) Full Text: DOI EuDML
Gross, Benedict H. On the factorization of p-adic L-series. (English) Zbl 0472.12011 Invent. Math. 57, 83-95 (1980). MSC: 11R42 11S40 11R11 PDFBibTeX XMLCite \textit{B. H. Gross}, Invent. Math. 57, 83--95 (1980; Zbl 0472.12011) Full Text: DOI EuDML
Gross, Benedict H.; Zagier, Don On the critical values of Hecke \(L\)-series. (English) Zbl 0462.14015 Mém. Soc. Math. Fr., Nouv. Sér. 2, 49-54 (1980). Reviewer: R. J. Stroeker MSC: 14G10 11R42 11G10 14K15 PDFBibTeX XMLCite \textit{B. H. Gross} and \textit{D. Zagier}, Mém. Soc. Math. Fr., Nouv. Sér. 2, 49--54 (1980; Zbl 0462.14015) Full Text: DOI Numdam EuDML
Gross, Benedict H. [Mazur, B.] Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur. (English) Zbl 0433.14032 Lecture Notes in Mathematics. 776. Berlin-Heidelberg-New York: Springer-Verlag. V, 95 p. DM 18.00; $ 10.10 (1980). MSC: 14K22 14G05 14G10 14H52 14-02 11G15 PDFBibTeX XML Full Text: DOI