Shimura, G. Some old and recent arithmetical results concerning modular forms and related zeta functions. (English) Zbl 0808.11036 Istanb. Üniv. Fen Fak. Mat. Derg. 49, 45-56 (1990). Reviewer: A.Krieg (Aachen) MSC: 11F67 11-02 11F37 11F46 11F30 11F11 PDFBibTeX XMLCite \textit{G. Shimura}, İstanb. Üniv. Fen Fak. Mat. Derg. 49, 45--56 (1990; Zbl 0808.11036)
Apostol, Tom M. Modular functions and Dirichlet series in number theory. 2nd ed. (English) Zbl 0697.10023 Graduate Texts in Mathematics, 41. New York etc.: Springer-Verlag. x, 204 p. DM 98.00 (1990). Reviewer: J.L.Hafner MSC: 11F03 11-01 11F67 11F11 11G15 11P81 30B50 30F35 11M35 PDFBibTeX XMLCite \textit{T. M. Apostol}, Modular functions and Dirichlet series in number theory. 2nd ed. New York etc.: Springer-Verlag (1990; Zbl 0697.10023)
Garrett, Paul B. Holomorphic Hilbert modular forms. (English) Zbl 0685.10021 Wadsworth & Brooks/Cole Mathematics Series. Pacific Grove, CA: Wadsworth & Brooks/Cole Advanced Books & Software. xiii, 304 p. (1990). Reviewer: Karl-Bernhard Gundlach (Marburg) MSC: 11F41 11-02 11F46 11F66 11F67 PDFBibTeX XMLCite \textit{P. B. Garrett}, Holomorphic Hilbert modular forms. Pacific Grove, CA: Wadsworth \&| Brooks/Cole Advanced Books \&| Software (1990; Zbl 0685.10021)
Teitelbaum, Jeremy T. Values of \(p\)-adic \(L\)-functions and a \(p\)-adic Poisson kernel. (English) Zbl 0731.11065 Invent. Math. 101, No. 2, 395-410 (1990). Reviewer: Pilar Bayer (Barcelona) MSC: 11S40 11F67 11F85 14G20 PDFBibTeX XMLCite \textit{J. T. Teitelbaum}, Invent. Math. 101, No. 2, 395--410 (1990; Zbl 0731.11065) Full Text: DOI EuDML
Hatcher, Rhonda Lee Heights and L-series. (English) Zbl 0723.11024 Can. J. Math. 42, No. 3, 533-560 (1990). Reviewer: J.G.M.Mars (Utrecht) MSC: 11F67 11R52 11G40 PDFBibTeX XMLCite \textit{R. L. Hatcher}, Can. J. Math. 42, No. 3, 533--560 (1990; Zbl 0723.11024) Full Text: DOI
Hida, Haruzo Le produit de Petersson et de Rankin p-adique. (Petersson and p-adic Rankin products). (French) Zbl 0721.11024 Sémin. Théor. Nombres, Paris/Fr. 1988-89, Prog. Math. 91, 87-102 (1990). Reviewer: W.Kohnen (Münster) MSC: 11F85 11S80 11F67 PDFBibTeX XML
Bump, Daniel; Friedberg, Solomon; Hoffstein, Jeffrey Nonvanishing theorems for L-functions of modular forms and their derivatives. (English) Zbl 0721.11023 Invent. Math. 102, No. 3, 543-618 (1990). Reviewer: W.Kohnen (Münster) MSC: 11F67 11F11 11F66 11G05 PDFBibTeX XMLCite \textit{D. Bump} et al., Invent. Math. 102, No. 3, 543--618 (1990; Zbl 0721.11023) Full Text: DOI EuDML
Wiles, A. The Iwasawa conjecture for totally real fields. (English) Zbl 0719.11071 Ann. Math. (2) 131, No. 3, 493-540 (1990). Reviewer: P.Bayer (Barcelona) MSC: 11R23 11R80 11S40 11F11 PDFBibTeX XMLCite \textit{A. Wiles}, Ann. Math. (2) 131, No. 3, 493--540 (1990; Zbl 0719.11071) Full Text: DOI
Iwaniec, H. On the order of vanishing of modular L-functions at the critical point. (English) Zbl 0719.11029 Sémin. Théor. Nombres Bordx., Sér. II 2, No. 2, 365-376 (1990). Reviewer: R.W.Bruggeman (Utrecht) MSC: 11F67 11F11 11F66 11G05 11M41 11N36 PDFBibTeX XMLCite \textit{H. Iwaniec}, Sémin. Théor. Nombres Bordx., Sér. II 2, No. 2, 365--376 (1990; Zbl 0719.11029) Full Text: DOI Numdam EuDML
Oda, Takayuki The Riemann-Hodge period relation for Hilbert modular forms of weight 2. (English) Zbl 0718.11021 Cohomology of arithmetic groups and automorphic forms, Proc. Conf., Luminy/Fr. 1989, Lect. Notes Math. 1447, 261-286 (1990). Reviewer: K.-B.Gundlach (Marburg) MSC: 11F67 11F41 14C30 PDFBibTeX XML
Harris, Michael Period invariants of Hilbert modular forms. I: Trilinear differential operators and L-functions. (English) Zbl 0716.11020 Cohomology of arithmetic groups and automorphic forms, Proc. Conf., Luminy/Fr. 1989, Lect. Notes Math. 1447, 155-202 (1990). Reviewer: A.Krieg MSC: 11F41 11F67 11F70 PDFBibTeX XML
Shahidi, F. Automorphic \(L\)-functions: a survey. (English) Zbl 0715.11067 Automorphic forms, Shimura varieties, and L-functions. Vol. I, Proc. Conf., Ann Arbor/MI (USA) 1988, Perspect. Math. 10, 415-437 (1990). Reviewer: Robert Sczech MSC: 11R39 11S37 11F66 11-02 11F67 11F70 PDFBibTeX XML
Schwermer, Joachim Cohomoloy of arithmetic groups, automorphic forms and L-functions. (English) Zbl 0715.11028 Cohomology of arithmetic groups and automorphic forms, Proc. Conf., Luminy/Fr. 1989, Lect. Notes Math. 1447, 1-29 (1990). Reviewer: R.Salvati-Manni MSC: 11F75 11F67 11-02 11F12 PDFBibTeX XML
Ramakrishnan, Dinakar Problems arising from the Tate and Beilinson conjectures in the context of Shimura varieties. (English) Zbl 0714.14022 Automorphic forms, Shimura varieties, and L-functions, Vol. II, Proc. Conf., Ann Arbor/MI (USA) 1988, Perspect. Math. 11, 227-252 (1990). Reviewer: N.Yui MSC: 14G35 14C30 14G10 14C35 14A20 PDFBibTeX XML
Bump, Daniel; Friedberg, Solomon The exterior square automorphic \(L\)-functions on \(\text{GL}(n)\). (English) Zbl 0712.11030 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, 47-65 (1990). Reviewer: J. G. M. Mars (Utrecht) MSC: 11F66 11F67 11F70 11F55 22E55 PDFBibTeX XML
Sarnak, P. On cusp forms. II. (English) Zbl 0707.11040 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, 237-250 (1990). Reviewer: J.Elstrodt MSC: 11F72 11F67 11F55 11M41 PDFBibTeX XML
Hida, Haruzo \(p\)-adic \(L\)-functions for base change lifts of \(\mathrm{GL}_ 2\) to \(\mathrm{GL}_ 3\). (English) Zbl 0705.11033 Automorphic forms, Shimura varieties, and L-functions. Vol. II, Proc. Conf., Ann Arbor/MI (USA) 1988, Perspect. Math. 11, 95-142 (1990). Reviewer: W.Kohnen MSC: 11F85 11F67 11S40 PDFBibTeX XML
Bump, D.; Friedberg, S.; Hoffstein, J. Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives. (English) Zbl 0699.10039 Ann. Math. (2) 131, No. 1, 53-127 (1990). Reviewer: R.W.Bruggeman MSC: 11F27 11F67 22E30 PDFBibTeX XMLCite \textit{D. Bump} et al., Ann. Math. (2) 131, No. 1, 53--127 (1990; Zbl 0699.10039) Full Text: DOI
Hayes, David R. Brumer elements over a real quadratic base field. (English) Zbl 0698.12007 Expo. Math. 8, No. 2, 137-184 (1990). Reviewer: R.Sczech MSC: 11R42 PDFBibTeX XMLCite \textit{D. R. Hayes}, Expo. Math. 8, No. 2, 137--184 (1990; Zbl 0698.12007)
Knopp, Marvin I. Rademacher on \(J(\tau)\), Poincaré series of nonpositive weights and the Eichler cohomology. (English) Zbl 0695.10021 Notices Am. Math. Soc. 37, No. 4, 385-393 (1990). Reviewer: T.M.Apostol MSC: 11F03 11F67 PDFBibTeX XMLCite \textit{M. I. Knopp}, Notices Am. Math. Soc. 37, No. 4, 385--393 (1990; Zbl 0695.10021)
Wong, Shek-Tung The meromorphic continuation and functional equations of cuspidal Eisenstein series for maximal cuspidal groups. (English) Zbl 0691.10016 Mem. Am. Math. Soc. 423, 210 p. (1990). Reviewer: A.Juhl MSC: 11F66 11F70 11-02 11F12 11F67 PDFBibTeX XMLCite \textit{S.-T. Wong}, The meromorphic continuation and functional equations of cuspidal Eisenstein series for maximal cuspidal groups. Providence, RI: American Mathematical Society (AMS) (1990; Zbl 0691.10016) Full Text: DOI
Gritsenko, V. A. Expansion of Hecke polynomials of classical groups. (English. Russian original) Zbl 0685.10020 Math. USSR, Sb. 65, No. 2, 333-356 (1990); translation from Mat. Sb., Nov. Ser. 137(179), No. 3(11), 328-351 (1988). MSC: 11F27 11F67 PDFBibTeX XMLCite \textit{V. A. Gritsenko}, Math. USSR, Sb. 65, No. 2, 333--356 (1990; Zbl 0685.10020); translation from Mat. Sb., Nov. Ser. 137(179), No. 3(11), 328--351 (1988) Full Text: DOI
Choie, YoungJu; Parson, L. Alayne Rational period functions and indefinite binary quadratic forms. I. (English) Zbl 0673.10018 Math. Ann. 286, No. 4, 697-707 (1990). Reviewer: Y.-J.Choie MSC: 11F11 11F67 11E16 PDFBibTeX XMLCite \textit{Y. Choie} and \textit{L. A. Parson}, Math. Ann. 286, No. 4, 697--707 (1990; Zbl 0673.10018) Full Text: DOI EuDML
Panchishkin, A. A. Nonarchimedean zeta-functions connected with automorphic forms. (Russian) Zbl 0761.11025 Automorphic functions and their applications, Int. Conf., Khabarovsk/USSR 1988, 135-162 (1990). Reviewer: R.W.Bruggeman (Utrecht) MSC: 11F67 11F85 11F66 11F46 11S40 11M06 11M41 11F41 PDFBibTeX XMLCite \textit{A. A. Panchishkin}, in: On the sum \(\sum d(n)\sigma{}_{\alpha{}}(n+N)\). . 135--162 (1990; Zbl 0761.11025)
te Riele, Herman J. J. Computing on the Riemann hypothesis. (Dutch) Zbl 0751.11058 Kaleidoscope of mathematics 1. From prime number to population genetics, Epsilon 17, 181-192 (1990). Reviewer: H.J.J.te Riele (Amsterdam) MSC: 11Y70 11M06 65D20 PDFBibTeX XMLCite \textit{H. J. J. te Riele}, in: Prime numbers. . 181--192 (1990; Zbl 0751.11058)
Rohrlich, David E. The vanishing of certain Rankin-Selberg convolutions. (English) Zbl 0737.11014 Automorphic forms and analytic number theory, Proc. Conf., Montréal/Can. 1989, 123-133 (1990). Reviewer: R.W.Bruggeman (Utrecht) MSC: 11F67 11F70 11G40 11F37 11F11 PDFBibTeX XMLCite \textit{D. E. Rohrlich}, in: Exponential sums on \((\mathbb{F}_ q^*)^ n\). . 123--133 (1990; Zbl 0737.11014)
Murty, V. Kumar Non-vanishing of \(L\)-functions and their derivatives. (English) Zbl 0745.11033 Automorphic forms and analytic number theory, Proc. Conf., Montréal/Can. 1989, 89-113 (1990). Reviewer: W.Kohnen (Münster) MSC: 11G40 11F67 11G05 14G10 14H25 11M06 11M41 PDFBibTeX XMLCite \textit{V. K. Murty}, in: Exponential sums on \((\mathbb{F}_ q^*)^ n\). . 89--113 (1990; Zbl 0745.11033)
Perrin-Riou, B. \(p\)-adic representations, \(p\)-adic periods and \(p\)-adic \(L\)-functions. (Représentations \(p\)-adiques, périodes et fonctions \(L\) \(p\)-adiques.) (French) Zbl 0783.11044 Sémin. Théor. Nombres, Paris/Fr. 1987-88, Prog. Math. 81, 213-258 (1990). Reviewer: P.Bayer (Barcelona) MSC: 11S40 11F85 11F67 PDFBibTeX XMLCite \textit{B. Perrin-Riou}, Prog. Math. None, 213--258 (1990; Zbl 0783.11044)