Hatada, Kazuyuki Hecke operators and systems of eigenvalues on Siegel cusp forms. (English) Zbl 07363184 Memoirs of the American Mathematical Society 1306. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4334-4/pbk; 978-1-4704-6343-4/ebook). v, 165 p. (2020). Reviewer: Suresh Nampuri (Lisboa) MSC: 11-02 11F46 11F60 11F32 11F11 11G25 14G22 14F30 14F20 11F70 PDF BibTeX XML Cite \textit{K. Hatada}, Hecke operators and systems of eigenvalues on Siegel cusp forms. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 07363184) Full Text: DOI
Walling, Lynne H. Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character. (English) Zbl 1365.11053 Int. J. Number Theory 13, No. 2, 325-370 (2017). Reviewer: Gabriele Nebe (Aachen) MSC: 11F46 11F11 PDF BibTeX XML Cite \textit{L. H. Walling}, Int. J. Number Theory 13, No. 2, 325--370 (2017; Zbl 1365.11053) Full Text: DOI arXiv
Mbarki, Khadija On a cubic moment for sums of Hecke eigenvalues. (English) Zbl 1407.11057 Integers 16, Paper A82, 24 p. (2016). MSC: 11F25 11F30 11F11 PDF BibTeX XML Cite \textit{K. Mbarki}, Integers 16, Paper A82, 24 p. (2016; Zbl 1407.11057) Full Text: EMIS
Tang, Hengcai; Wang, Yingnan Quantitative versions of the joint distributions of Hecke eigenvalues. (English) Zbl 1409.11033 J. Number Theory 169, 295-314 (2016). MSC: 11F25 11F11 PDF BibTeX XML Cite \textit{H. Tang} and \textit{Y. Wang}, J. Number Theory 169, 295--314 (2016; Zbl 1409.11033) Full Text: DOI
Marshall, Simon Local bounds for \(L^p\) norms of Maass forms in the level aspect. (English) Zbl 1382.35175 Algebra Number Theory 10, No. 4, 803-812 (2016). Reviewer: Zhengyu Mao (Newark) MSC: 35P20 11F41 11F25 PDF BibTeX XML Cite \textit{S. Marshall}, Algebra Number Theory 10, No. 4, 803--812 (2016; Zbl 1382.35175) Full Text: DOI arXiv
Marshall, Simon Geodesic restrictions of arithmetic eigenfunctions. (English) Zbl 1377.11059 Duke Math. J. 165, No. 3, 463-508 (2016). Reviewer: Zhengyu Mao (Newark) MSC: 11F41 11F25 35P20 PDF BibTeX XML Cite \textit{S. Marshall}, Duke Math. J. 165, No. 3, 463--508 (2016; Zbl 1377.11059) Full Text: DOI arXiv
Knightly, A.; Li, C. Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms. (English) Zbl 1314.11038 Mem. Am. Math. Soc. 1055, v, 132 p. (2013). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11F72 11-02 11F70 11F41 11F37 11F30 11L05 11F25 22E55 PDF BibTeX XML Cite \textit{A. Knightly} and \textit{C. Li}, Kuznetsov's trace formula and the Hecke eigenvalues of Maass forms. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1314.11038) Full Text: DOI arXiv
Baier, Stephan; Zhao, Liangyi On Hecke eigenvalues at primes of the form \([g(n)]\). (English) Zbl 1296.11033 Acta Arith. 158, No. 4, 341-357 (2013). Reviewer: Kaisa Matomäki (Turku) MSC: 11F30 11L07 11L20 11F25 PDF BibTeX XML Cite \textit{S. Baier} and \textit{L. Zhao}, Acta Arith. 158, No. 4, 341--357 (2013; Zbl 1296.11033) Full Text: DOI arXiv
Baier, Stephan Exponential sums with coefficients of certain Dirichlet series. (English) Zbl 1347.11061 Monatsh. Math. 169, No. 2, 127-143 (2013). MSC: 11L07 11F11 11F25 11M41 PDF BibTeX XML Cite \textit{S. Baier}, Monatsh. Math. 169, No. 2, 127--143 (2013; Zbl 1347.11061) Full Text: DOI arXiv
Joshi, Kirti Remarks on the Fourier coefficients of modular forms. (English) Zbl 1284.11078 J. Number Theory 132, No. 6, 1314-1336 (2012). MSC: 11F30 11F25 11F11 PDF BibTeX XML Cite \textit{K. Joshi}, J. Number Theory 132, No. 6, 1314--1336 (2012; Zbl 1284.11078) Full Text: DOI arXiv
Lau, Yuk-Kam; Zhao, Lilu On a variance of Hecke eigenvalues in arithmetic progressions. (English) Zbl 1287.11058 J. Number Theory 132, No. 5, 869-887 (2012). Reviewer: Kaisa Matomäki (Turku) MSC: 11F30 11N56 11F25 PDF BibTeX XML Cite \textit{Y.-K. Lau} and \textit{L. Zhao}, J. Number Theory 132, No. 5, 869--887 (2012; Zbl 1287.11058) Full Text: DOI
Lau, Yuk-Kam; Wang, Yingnan Quantitative version of the joint distribution of eigenvalues of the Hecke operators. (English) Zbl 1268.11057 J. Number Theory 131, No. 12, 2262-2281 (2011). MSC: 11F25 11N75 PDF BibTeX XML Cite \textit{Y.-K. Lau} and \textit{Y. Wang}, J. Number Theory 131, No. 12, 2262--2281 (2011; Zbl 1268.11057) Full Text: DOI
Lao, Huixue Oscillations of coefficients of primitive cusp forms over some special sequences. (English) Zbl 1195.11059 Ramanujan J. 19, No. 3, 339-350 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 11F30 11L07 11L20 11F11 11F25 PDF BibTeX XML Cite \textit{H. Lao}, Ramanujan J. 19, No. 3, 339--350 (2009; Zbl 1195.11059) Full Text: DOI
Murty, M. Ram; Sinha, Kaneenika Effective equidistribution of eigenvalues of Hecke operators. (English) Zbl 1234.11055 J. Number Theory 129, No. 3, 681-714 (2009). Reviewer: Günter Köhler (Würzburg) MSC: 11F25 11N75 11K06 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{K. Sinha}, J. Number Theory 129, No. 3, 681--714 (2009; Zbl 1234.11055) Full Text: DOI
Blomer, Valentin Sums of Hecke eigenvalues over values of quadratic polynomials. (English) Zbl 1232.11053 Int. Math. Res. Not. 2008, Article ID rnn059, 29 p. (2008). Reviewer: Yuk-Kam Lau (Pokfulam) MSC: 11F30 11F25 11F72 11F37 PDF BibTeX XML Cite \textit{V. Blomer}, Int. Math. Res. Not. 2008, Article ID rnn059, 29 p. (2008; Zbl 1232.11053) Full Text: DOI arXiv
Ash, Avner; Pollack, David; Stevens, Glenn Rigidity of \(p\)-adic cohomology classes of congruence subgroups of \(\text{GL}(n, \mathbb Z)\). (English) Zbl 1206.11067 Proc. Lond. Math. Soc. (3) 96, No. 2, 367-388 (2008). MSC: 11F75 11F60 11F85 PDF BibTeX XML Cite \textit{A. Ash} et al., Proc. Lond. Math. Soc. (3) 96, No. 2, 367--388 (2008; Zbl 1206.11067) Full Text: DOI arXiv
Royer, Emmanuel; Wu, Jie Special values of symmetric power \(L\)-functions and Hecke eigenvalues. (English) Zbl 1196.11071 J. Théor. Nombres Bordx. 19, No. 3, 703-753 (2007). MSC: 11F67 11F60 PDF BibTeX XML Cite \textit{E. Royer} and \textit{J. Wu}, J. Théor. Nombres Bordx. 19, No. 3, 703--753 (2007; Zbl 1196.11071) Full Text: DOI arXiv EuDML
Kiming, Ian New models for the action of Hecke operators in spaces of Maass wave forms. (English) Zbl 1215.11055 Ann. Inst. Fourier 57, No. 6, 1863-1882 (2007). MSC: 11F72 11F70 11R39 22E45 PDF BibTeX XML Cite \textit{I. Kiming}, Ann. Inst. Fourier 57, No. 6, 1863--1882 (2007; Zbl 1215.11055) Full Text: DOI arXiv Numdam EuDML
Ghitza, Alexandru All Siegel Hecke eigensystems (mod \(p\)) are cuspidal. (English) Zbl 1185.11032 Math. Res. Lett. 13, No. 5-6, 813-823 (2006). MSC: 11F46 11F60 PDF BibTeX XML Cite \textit{A. Ghitza}, Math. Res. Lett. 13, No. 5--6, 813--823 (2006; Zbl 1185.11032) Full Text: DOI arXiv
Zhao, Liangyi Oscillations of Hecke eigenvalues at shifted primes. (English) Zbl 1170.11024 Rev. Mat. Iberoam. 22, No. 1, 323-337 (2006). Reviewer: Florin Nicolae (Berlin) MSC: 11L07 11L40 11F25 11F66 11N36 PDF BibTeX XML Cite \textit{L. Zhao}, Rev. Mat. Iberoam. 22, No. 1, 323--337 (2006; Zbl 1170.11024) Full Text: DOI arXiv Euclid EuDML
Horton, Matthew D.; Newland, Derek B.; Terras, Audrey A. The contest between the kernels in the Selberg trace formula for the \((q+1)\)-regular tree. (English) Zbl 1147.11031 Jorgenson, Jay (ed.) et al., The ubiquitous heat kernel. AMS special session, Boulder, CO, USA, October 2–4, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3698-6/pbk). Contemporary Mathematics 398, 265-293 (2006). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F72 05C25 05C38 05C50 11F25 PDF BibTeX XML Cite \textit{M. D. Horton} et al., Contemp. Math. 398, 265--293 (2006; Zbl 1147.11031)
Kohnen, Winfried; Sengupta, Jyoti On the first sign change of Hecke eigenvalues of newforms. (English) Zbl 1220.11060 Math. Z. 254, No. 1, 173-184 (2006). Reviewer: M. Ram Murty (Kingston) MSC: 11F25 11F30 PDF BibTeX XML Cite \textit{W. Kohnen} and \textit{J. Sengupta}, Math. Z. 254, No. 1, 173--184 (2006; Zbl 1220.11060) Full Text: DOI
Watt, Nigel Fourier coefficients of modular forms and eigenvalues of a Hecke operator. (English) Zbl 1247.11067 Funct. Approximatio, Comment. Math. 34, 27-116 (2005). MSC: 11F30 11F11 11F25 11L40 PDF BibTeX XML Cite \textit{N. Watt}, Funct. Approximatio, Comment. Math. 34, 27--116 (2005; Zbl 1247.11067)
Shahidi, Freydoon Functoriality and small eigenvalues of Laplacian on Riemann surfaces. (English) Zbl 1197.11061 Grigor’yan, Alexander (ed.) et al., Surveys in differential geometry. Vol. IX: Eigenvalues of Laplacians and other geometric operators. Somerville, MA: International Press (ISBN 1-57146-115-9/hbk). Surveys in Differential Geometry 9, 385-400 (2004). Reviewer: Anton Deitmar (Tübingen) MSC: 11F72 11F70 11R39 11R42 PDF BibTeX XML Cite \textit{F. Shahidi}, Surv. Differ. Geom. 9, 385--400 (2004; Zbl 1197.11061)
Goldstein, Daniel; Mayer, Andrew On the equidistribution of Hecke points. (English) Zbl 1048.11057 Forum Math. 15, No. 2, 165-189 (2003). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11H31 11F30 11F60 22E50 PDF BibTeX XML Cite \textit{D. Goldstein} and \textit{A. Mayer}, Forum Math. 15, No. 2, 165--189 (2003; Zbl 1048.11057) Full Text: DOI
Gunnells, Paul E. Computing Hecke eigenvalues below the cohomological dimension. (English) Zbl 1037.11037 Exp. Math. 9, No. 3, 351-367 (2000). MSC: 11F75 11F67 11F60 PDF BibTeX XML Cite \textit{P. E. Gunnells}, Exp. Math. 9, No. 3, 351--367 (2000; Zbl 1037.11037) Full Text: DOI arXiv EuDML
Steil, Gunther Eigenvalues of the Laplacian for Bianchi groups. (English) Zbl 0982.11028 Hejhal, Dennis A. (ed.) et al., Emerging applications of number theory. Based on the proceedings of the IMA summer program, Minneapolis, MN, USA, July 15-26, 1996. New York, NY: Springer. IMA Vol. Math. Appl. 109, 617-641 (1999). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F72 11F06 81Q50 11-04 20H10 PDF BibTeX XML Cite \textit{G. Steil}, IMA Vol. Math. Appl. 109, 617--641 (1999; Zbl 0982.11028)
Bolte, J.; Johansson, S. A spectral correspondence for Maaß waveforms. (English) Zbl 0993.11025 Geom. Funct. Anal. 9, No. 6, 1128-1155 (1999). MSC: 11F72 11F37 20H10 PDF BibTeX XML Cite \textit{J. Bolte} and \textit{S. Johansson}, Geom. Funct. Anal. 9, No. 6, 1128--1155 (1999; Zbl 0993.11025) Full Text: DOI arXiv
Li, Wen-Ching Winnie Elliptic curves, Kloosterman sums and Ramanujan graphs. (English) Zbl 0957.11035 Buell, D. A. (ed.) et al., Computational perspectives on number theory. Proceedings of a conference in honor of A. O. L. Atkin, Chicago, IL, USA, September 1995. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 7, 179-190 (1998). MSC: 11L05 11G40 11T24 11T60 05C25 11F25 PDF BibTeX XML Cite \textit{W.-C. W. Li}, AMS/IP Stud. Adv. Math. 7, 179--190 (1998; Zbl 0957.11035)
Finis, Tobias Some computational results on Hecke eigenvalues of modular forms on a unitary group. (English) Zbl 0990.11031 Manuscr. Math. 96, No. 2, 149-180 (1998). Reviewer: Martin Grabitz (Berlin) MSC: 11F55 11F60 PDF BibTeX XML Cite \textit{T. Finis}, Manuscr. Math. 96, No. 2, 149--180 (1998; Zbl 0990.11031) Full Text: DOI
Serre, Jean-Pierre Asymptotic distribution of eigenvalues of the Hecke operators \(T_ p\). (Répartition asymptotique des valeurs propres de l’opérateur de Hecke \(T_ p\).) (French) Zbl 0871.11032 J. Am. Math. Soc. 10, No. 1, 75-102 (1997). Reviewer: G.Köhler (Würzburg) MSC: 11F11 11F25 11F72 PDF BibTeX XML Cite \textit{J.-P. Serre}, J. Am. Math. Soc. 10, No. 1, 75--102 (1997; Zbl 0871.11032) Full Text: DOI
Hatada, Kazuyuki Hecke correspondence and Betti cohomology groups for smooth compactifications of Hilbert modular varieties of dimension \(\leq 3\). (English) Zbl 0914.11021 Proc. Japan Acad., Ser. A 72, No. 8, 189-193 (1996). MSC: 11F41 11F60 14G35 PDF BibTeX XML Cite \textit{K. Hatada}, Proc. Japan Acad., Ser. A 72, No. 8, 189--193 (1996; Zbl 0914.11021) Full Text: DOI
Chamizo, Fernando The large sieve in Riemann surfaces. (English) Zbl 0863.11061 Acta Arith. 77, No. 4, 303-313 (1996). Reviewer: Fernando Chamizo (Madrid) MSC: 11N35 11F72 11F25 30F99 58J50 30F35 PDF BibTeX XML Full Text: EuDML
Feng, Keqin; Li, Wen-Ch’ing Winnie Spectra of hypergraphs and applications. (English) Zbl 0874.05041 J. Number Theory 60, No. 1, 1-22 (1996). MSC: 05C65 11F25 11F11 05C50 PDF BibTeX XML Cite \textit{K. Feng} and \textit{W.-C. W. Li}, J. Number Theory 60, No. 1, 1--22 (1996; Zbl 0874.05041) Full Text: DOI
Buzzard, Kevin On the eigenvalues of the Hecke operator \(T_ 2\). (English) Zbl 0847.11024 J. Number Theory 57, No. 1, 130-132 (1996). Reviewer: G.Köhler (Würzburg) MSC: 11F25 11F11 PDF BibTeX XML Cite \textit{K. Buzzard}, J. Number Theory 57, No. 1, 130--132 (1996; Zbl 0847.11024) Full Text: DOI
Hurt, Norman E. Kloosterman sums and their applications: A review. (English) Zbl 0852.11043 Result. Math. 29, No. 1-2, 16-41 (1996). Reviewer: R.W.Bruggeman (Utrecht) MSC: 11L05 11F72 11F11 11F37 PDF BibTeX XML Cite \textit{N. E. Hurt}, Result. Math. 29, No. 1--2, 16--41 (1996; Zbl 0852.11043) Full Text: DOI
Yamauchi, Masatoshi Modular forms with coefficients involving class numbers and congruences of eigenvalues of Hecke operators. (English) Zbl 0851.11029 Hokkaido Math. J. 25, No. 1, 149-165 (1996). Reviewer: G.Köhler (Würzburg) MSC: 11F25 11F11 11F30 PDF BibTeX XML Cite \textit{M. Yamauchi}, Hokkaido Math. J. 25, No. 1, 149--165 (1996; Zbl 0851.11029) Full Text: DOI
Herøy, Hans Olaf Hecke operators on \(\Gamma_0(m)\). (Hecke-Operatoren auf \(\Gamma_0(m)\).) (German) Zbl 0916.11027 Bonner Mathematische Schriften. 292. Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät 1994, x, 84 S. (1996). Reviewer: G.Köhler (Würzburg) MSC: 11F25 11F11 PDF BibTeX XML Cite \textit{H. O. Herøy}, Hecke-Operatoren auf \(\Gamma_0(m)\). Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät 1994 (1996; Zbl 0916.11027)
Ulmer, Douglas L. On the Fourier coefficients of modular forms. II. (English) Zbl 0856.11022 Math. Ann. 304, No. 2, 363-422 (1996). Reviewer: W.W.J.Hulsbergen (Haarlem) MSC: 11F30 11G18 14G35 11F33 PDF BibTeX XML Cite \textit{D. L. Ulmer}, Math. Ann. 304, No. 2, 363--422 (1996; Zbl 0856.11022) Full Text: DOI EuDML
Kamienny, S. On the eigenvalues of Hecke operators. (English) Zbl 0853.11035 Commun. Algebra 23, No. 3, 995-998 (1995). Reviewer: W.Kohnen (Heidelberg) MSC: 11F25 11F11 14H40 PDF BibTeX XML Cite \textit{S. Kamienny}, Commun. Algebra 23, No. 3, 995--998 (1995; Zbl 0853.11035) Full Text: DOI
Ulmer, Douglas L. Slopes of modular forms. (English) Zbl 0853.11037 Childress, Nancy (ed.) et al., Arithmetic geometry. Conference on arithmetic geometry with an emphasis on Iwasawa theory, March 15-18, 1993, Arizona State Univ., Tempe, AZ, USA. Providence, RI: American Mathematical Society. Contemp. Math. 174, 167-183 (1994). Reviewer: W.Kohnen (Heidelberg) MSC: 11F33 11F85 11F30 11G18 PDF BibTeX XML Cite \textit{D. L. Ulmer}, Contemp. Math. 174, 167--183 (1994; Zbl 0853.11037)
Hatada, Kazuyuki On the local zeta functions of compactified Hilbert modular schemes and action of the Hecke rings. (English) Zbl 0812.11031 Sci. Rep. Fac. Educ., Gifu Univ., Nat. Sci. 18, No. 2, 1-34 (1994). Reviewer: F.W.Knoeller (Marburg) MSC: 11F41 14G10 11F85 11F60 PDF BibTeX XML Cite \textit{K. Hatada}, Sci. Rep. Fac. Educ., Gifu Univ., Nat. Sci. 18, No. 2, 1--34 (1994; Zbl 0812.11031)
Bungert, Michael Construction of a cuspform of weight 3/2. (English) Zbl 0778.11026 Arch. Math. 60, No. 6, 530-534 (1993). Reviewer: M.Bungert (München) MSC: 11F37 11F11 PDF BibTeX XML Cite \textit{M. Bungert}, Arch. Math. 60, No. 6, 530--534 (1993; Zbl 0778.11026) Full Text: DOI
Kim, Myung-Hwan Arithmetic of half integral weight theta-series. (English) Zbl 0781.11021 Acta Arith. 63, No. 2, 157-181 (1993). Reviewer: R.Schulze-Pillot (Bonn) MSC: 11F60 11F46 11F37 11F27 PDF BibTeX XML Cite \textit{M.-H. Kim}, Acta Arith. 63, No. 2, 157--181 (1993; Zbl 0781.11021) Full Text: DOI EuDML
Doi, Koji; Goto, Keiji On the \(L\)-series associated with modular forms. (Japanese) Zbl 0972.11501 Mem. Inst. Sci. Eng., Ritsumeikan Univ. 52, 1-19 (1993). Reviewer: Hiroshi Saito (MR 95b:11051) MSC: 11F67 11F41 PDF BibTeX XML Cite \textit{K. Doi} and \textit{K. Goto}, Mem. Inst. Sci. Eng., Ritsumeikan Univ. 52, 1--19 (1993; Zbl 0972.11501)
Ha Huy Khoai Sur les séries \(L\) associées aux formes modulaires. (On L-series associated to modular forms). (French) Zbl 0756.11012 Bull. Soc. Math. Fr. 120, No. 1, 1-13 (1992). Reviewer: J.G.M.Mars (Utrecht) MSC: 11F66 11F25 11F11 PDF BibTeX XML Cite \textit{Ha Huy Khoai}, Bull. Soc. Math. Fr. 120, No. 1, 1--13 (1992; Zbl 0756.11012) Full Text: DOI Numdam EuDML
Duke, W.; Howe, R.; Li, J.-S. Estimating Hecke eigenvalues of Siegel modular forms. (English) Zbl 0766.11026 Duke Math. J. 67, No. 1, 219-240 (1992). Reviewer: R.Schulze-Pillot (Bonn) MSC: 11F46 11F60 11F70 22E50 PDF BibTeX XML Cite \textit{W. Duke} et al., Duke Math. J. 67, No. 1, 219--240 (1992; Zbl 0766.11026) Full Text: DOI
Weissauer, Rainer On certain degenerate eigenvalues of Hecke operators. (English) Zbl 0753.11020 Compos. Math. 83, No. 2, 127-145 (1992). Reviewer: A.Krieg (Münster) MSC: 11F46 11F70 11F37 PDF BibTeX XML Cite \textit{R. Weissauer}, Compos. Math. 83, No. 2, 127--145 (1992; Zbl 0753.11020) Full Text: Numdam EuDML
Cremona, J. E. Modular symbols for \({\Gamma{}}_ 1(N)\) and elliptic curves with everywhere good reduction. (English) Zbl 0752.11022 Math. Proc. Camb. Philos. Soc. 111, No. 2, 199-218 (1992). Reviewer: R.Gillard (Saint-Martin-d’Heres) MSC: 11F67 14H52 11F25 14G35 PDF BibTeX XML Cite \textit{J. E. Cremona}, Math. Proc. Camb. Philos. Soc. 111, No. 2, 199--218 (1992; Zbl 0752.11022) Full Text: DOI
Furusawa, M.; Tezuka, M.; Yagita, N. Note on Hecke operators and cohomology of \(\text{PSL}_2(\mathbb Z)\). (English) Zbl 0763.11023 Kodai Math. J. 14, No. 2, 173-180 (1991). Reviewer: S.Friedberg (Santa Cruz) MSC: 11F25 11F33 11F75 PDF BibTeX XML Cite \textit{M. Furusawa} et al., Kodai Math. J. 14, No. 2, 173--180 (1991; Zbl 0763.11023) Full Text: DOI
Ueda, Masaru Newforms of half-integral weight and the twisting operators. (English) Zbl 0726.11028 Proc. Japan Acad., Ser. A 66, No. 7, 173-175 (1990). Reviewer: Pei Dingyi (Beijing) MSC: 11F37 11F25 PDF BibTeX XML Cite \textit{M. Ueda}, Proc. Japan Acad., Ser. A 66, No. 7, 173--175 (1990; Zbl 0726.11028) Full Text: DOI
Henniart, Guy Formes de Maass et représentations galoisiennes [d’après Blasius, Clozel, Harris, Ramakrishnan et Taylor]. (Maass forms and Galois representations). (French) Zbl 0703.11062 Sémin. Bourbaki, Vol. 1988/89, 41e année, Exp. No. 711, Astérisque 177-178, 277-302 (1989). Reviewer: J.G.M.Mars MSC: 11R39 11F70 11F37 PDF BibTeX XML Full Text: Numdam EuDML
Miyake, Toshitsune Modular forms. Transl. from the Japanese by Joshitaku Maeda. (English) Zbl 0701.11014 Berlin etc.: Springer-Verlag. viii, 335 p. (1989). Reviewer: J.Elstrodt MSC: 11Fxx 11-01 11-02 11F11 11F12 11F20 11F06 11F27 11F30 11F66 PDF BibTeX XML Cite \textit{T. Miyake}, Modular forms. Transl. from the Japanese by Joshitaku Maeda. Berlin etc.: Springer-Verlag (1989; Zbl 0701.11014)
Shahidi, Freydoon On the Ramanujan conjecture and finiteness of poles for certain \(L\)-functions. (English) Zbl 0654.10029 Ann. Math. (2) 127, No. 3, 547-584 (1988). Reviewer: J.G.M.Mars MSC: 11F67 11F70 PDF BibTeX XML Cite \textit{F. Shahidi}, Ann. Math. (2) 127, No. 3, 547--584 (1988; Zbl 0654.10029) Full Text: DOI
Blasius, Don; Clozel, Laurent; Ramakrishnan, Dinakar Opérateurs de Hecke et formes de Maass: application de la formule des traces. (Hecke operators and Maass forms: application of the trace formula). (French) Zbl 0639.10020 C. R. Acad. Sci., Paris, Sér. I 306, No. 2, 59-62 (1988). Reviewer: J.Wolfart MSC: 11F70 11F27 22E55 PDF BibTeX XML Cite \textit{D. Blasius} et al., C. R. Acad. Sci., Paris, Sér. I 306, No. 2, 59--62 (1988; Zbl 0639.10020)
Pei, Dingyi Eigenvalues of certain differential operators related to automorphic forms. (English) Zbl 0635.10022 Acta Math. Sin., New Ser. 3, 204-214 (1987). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F60 11S90 22E30 PDF BibTeX XML Cite \textit{D. Pei}, Acta Math. Sin., New Ser. 3, 204--214 (1987; Zbl 0635.10022) Full Text: DOI
Blasius, Don; Clozel, Laurent; Ramakrishnan, Dinakar Algébricité de l’action des opérateurs de Hecke sur certaines formes de Maass. (Algebraicity of the Hecke eigenvalues of certain Maass forms). (French) Zbl 0628.10035 C. R. Acad. Sci., Paris, Sér. I 305, 705-708 (1987). Reviewer: J.Wolfart MSC: 11F70 11F27 22E50 PDF BibTeX XML Cite \textit{D. Blasius} et al., C. R. Acad. Sci., Paris, Sér. I 305, 705--708 (1987; Zbl 0628.10035)
Sarnak, Peter Statistical properties of eigenvalues of the Hecke operators. (English) Zbl 0628.10028 Analytic number theory and diophantine problems, Proc. Conf., Stillwater/Okla. 1984, Prog. Math. 70, 321-331 (1987). Reviewer: R. W. Bruggeman (Utrecht) MSC: 11F25 11F30 11F37 11F55 11F72 PDF BibTeX XML
Ash, Avner; Stevens, Glenn Cohomology of arithmetic groups and congruences between systems of Hecke eigenvalues. (English) Zbl 0596.10026 J. Reine Angew. Math. 365, 192-220 (1986). Reviewer: G.Henniart MSC: 11F33 11F67 PDF BibTeX XML Cite \textit{A. Ash} and \textit{G. Stevens}, J. Reine Angew. Math. 365, 192--220 (1986; Zbl 0596.10026) Full Text: Crelle EuDML
Satoh, Takakazu Differential operators and congruences for Siegel modular forms of degree two. (English) Zbl 0591.10016 J. Math. Soc. Japan 38, 127-146 (1986). MSC: 11F27 11F33 PDF BibTeX XML Cite \textit{T. Satoh}, J. Math. Soc. Japan 38, 127--146 (1986; Zbl 0591.10016) Full Text: DOI
Mizumoto, Shin-ichiro Congruences for eigenvalues of Hecke operators on Siegel modular forms of degree two. (English) Zbl 0578.10032 Math. Ann. 275, 149-161 (1986). MSC: 11F27 11F33 PDF BibTeX XML Cite \textit{S.-i. Mizumoto}, Math. Ann. 275, 149--161 (1986; Zbl 0578.10032) Full Text: DOI EuDML
Satoh, Takakazu On certain vector valued Siegel modular forms of degree two. (English) Zbl 0571.10028 Math. Ann. 274, 335-352 (1986). MSC: 11F27 11F33 PDF BibTeX XML Cite \textit{T. Satoh}, Math. Ann. 274, 335--352 (1986; Zbl 0571.10028) Full Text: DOI EuDML
Kuga, Michio Group cohomology and Hecke operators. II: Hilbert modular surface case. (English) Zbl 0606.10022 Automorphic forms and number theory, Proc. Symp., Sendai/Jap. 1983, Adv. Stud. Pure Math. 7, 113-148 (1985). Reviewer: Chi-Han Sah (Stony Brook) MSC: 11F41 11F33 11F75 22E41 PDF BibTeX XML
Huxley, M. N. Introduction to Kloostermania. (English) Zbl 0604.10011 Elementary and analytic theory of numbers, Banach Cent. Publ. 17, 217-306 (1985). Reviewer: N.V.Kuznetsov MSC: 11F11 11F03 11L40 11-02 11F70 11E45 35P15 PDF BibTeX XML
Hatada, Kazuyuki Problems on elliptic modular forms. (English) Zbl 0598.10038 Mathematical analysis, Collect. works dedic. F. G. Tricomi, Teubner-Texte Math. 79, 97-101 (1985). MSC: 11F33 11F11 PDF BibTeX XML
Moreno, C. J.; Shahidi, F. The L-functions \(L(s,Sym^ m(r),\pi)\). (English) Zbl 0577.10027 Can. Math. Bull. 28, 405-410 (1985). Reviewer: R.W.Bruggeman MSC: 11F70 22E50 22E55 11S80 PDF BibTeX XML Cite \textit{C. J. Moreno} and \textit{F. Shahidi}, Can. Math. Bull. 28, 405--410 (1985; Zbl 0577.10027) Full Text: DOI
Satoh, Takakazu Construction of certain vector valued Siegel modular forms of degree two. (English) Zbl 0571.10027 Proc. Japan Acad., Ser. A 61, 225-227 (1985). MSC: 11F27 11F33 PDF BibTeX XML Cite \textit{T. Satoh}, Proc. Japan Acad., Ser. A 61, 225--227 (1985; Zbl 0571.10027) Full Text: DOI
Ash, Avner; Grayson, Daniel; Green, Philip Computations of cuspidal cohomology of congruence subgroups of SL(3,\({\mathbb{Z}})\). (English) Zbl 0552.10015 J. Number Theory 19, 412-436 (1984). Reviewer: J.Schwermer MSC: 11F27 22E40 11F67 68W99 PDF BibTeX XML Cite \textit{A. Ash} et al., J. Number Theory 19, 412--436 (1984; Zbl 0552.10015) Full Text: DOI
Furusawa, Masaaki On Petersson norms for some liftings. (English) Zbl 0519.10020 Math. Ann. 267, 543-548 (1984). MSC: 11F27 PDF BibTeX XML Cite \textit{M. Furusawa}, Math. Ann. 267, 543--548 (1984; Zbl 0519.10020) Full Text: DOI EuDML
Gritsenko, V. A. The action of modular operators on the Fourier-Jacobi coefficients of modular forms. (English) Zbl 0518.10029 Math. USSR, Sb. 47, 237-268 (1984). MSC: 11F27 PDF BibTeX XML Cite \textit{V. A. Gritsenko}, Math. USSR, Sb. 47, 237--268 (1984; Zbl 0518.10029) Full Text: DOI
Jochnowitz, Naomi Congruences between systems of eigenvalues of modular forms. (English) Zbl 0536.10022 Trans. Am. Math. Soc. 270, 269-285 (1982). MSC: 11F33 11F11 PDF BibTeX XML Cite \textit{N. Jochnowitz}, Trans. Am. Math. Soc. 270, 269--285 (1982; Zbl 0536.10022) Full Text: DOI
Vinogradov, A. I.; Takhtadzhyan, L. A. An estimate of the residue of Rankin L-series. (English. Russian original) Zbl 0516.10017 Sov. Math., Dokl. 26, 528-531 (1982); translation from Dokl. Akad. Nauk SSSR 267, 30-34 (1982). MSC: 11F12 11F67 PDF BibTeX XML Cite \textit{A. I. Vinogradov} and \textit{L. A. Takhtadzhyan}, Sov. Math., Dokl. 26, 528--531 (1982; Zbl 0516.10017); translation from Dokl. Akad. Nauk SSSR 267, 30--34 (1982)
Gritsenko, V. A. Action of modular operators on the Fourier-Jacobi coefficients of modular forms. (Russian) Zbl 0507.10017 Mat. Sb., N. Ser. 119(161), No. 2(10), 248-277 (1982). MSC: 11F27 PDF BibTeX XML Cite \textit{V. A. Gritsenko}, Mat. Sb., Nov. Ser. 119(161), No. 2(10), 248--277 (1982; Zbl 0507.10017) Full Text: EuDML
Proskurin, N. V. Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight 0. (English) Zbl 0481.10021 J. Sov. Math. 18, 951-957 (1982). MSC: 11F11 11L03 PDF BibTeX XML Cite \textit{N. V. Proskurin}, J. Sov. Math. 18, 951--957 (1982; Zbl 0481.10021) Full Text: DOI
Hatada, Kazuyuki On the systems of eigenvalues (mod \({\mathfrak P})\) of Hecke operators. (English) Zbl 0598.10039 Sci. Rep. Fac. Educ. Gifu Univ., Nat. Sci. 6, No. 5, 665-671 (1981). MSC: 11F67 11F11 PDF BibTeX XML Cite \textit{K. Hatada}, Sci. Rep. Fac. Educ., Gifu Univ., Nat. Sci. 6, No. 5, 665--671 (1981; Zbl 0598.10039)
Shimura, Goro The periods of certain automorphic forms of arithmetic type. (English) Zbl 0499.10027 J. Fac. Sci., Univ. Tokyo, Sect. I A 28, 605-632 (1981). MSC: 11F12 11F67 PDF BibTeX XML Cite \textit{G. Shimura}, J. Fac. Sci., Univ. Tokyo, Sect. I A 28, 605--632 (1981; Zbl 0499.10027)
Kuga, Michio; Parry, Walter; Sah, Chih-Han Group cohomology and Hecke operators. (English) Zbl 0479.10019 Manifolds and Lie groups, Pap. in Honor of Y. Matsushima, Prog. Math. 14, 223-266 (1981). Reviewer: Michio Kuga MSC: 11F25 11F33 14K22 20J05 PDF BibTeX XML
Hatada, Kazuyuki Congruences for eigenvalues of Hecke operators on \(SL_ 2(\)Z). (English) Zbl 0462.10017 Manuscr. Math. 34, 305-326 (1981). MSC: 11F12 11F33 11F06 PDF BibTeX XML Cite \textit{K. Hatada}, Manuscr. Math. 34, 305--326 (1981; Zbl 0462.10017) Full Text: DOI EuDML
Proskurin, N. V. Estimations of the eigenvalues of Hecke operators in the space of cusp forms of weight 0. (Russian) Zbl 0425.10028 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 82, 136-143 (1979). MSC: 11F11 PDF BibTeX XML Cite \textit{N. V. Proskurin}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 82, 136--143 (1979; Zbl 0425.10028) Full Text: EuDML
Cohen, Henri Parity of the eigenvalues of Hecke operators. (Parité des valeurs propres des opérateurs de Hecke.) (French) Zbl 0401.10033 Sémin. Théor. Nombres 1977-1978, Exp. No. 14, 4 p. (1978). Reviewer: G. Köhler MSC: 11F11 11F25 11F33 PDF BibTeX XML Full Text: EuDML Link
Kurokawa, Nobushige Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two. (English) Zbl 0397.10018 Invent. Math. 49, 149-165 (1978). MSC: 11F27 11F67 PDF BibTeX XML Cite \textit{N. Kurokawa}, Invent. Math. 49, 149--165 (1978; Zbl 0397.10018) Full Text: DOI EuDML
Hatada, Kazuyuki Congruences of the eigenvalues of Hecke operators. (English) Zbl 0462.10016 Proc. Japan Acad., Ser. A 53, 125-128 (1977). MSC: 11F12 11F33 11F06 PDF BibTeX XML Cite \textit{K. Hatada}, Proc. Japan Acad., Ser. A 53, 125--128 (1977; Zbl 0462.10016) Full Text: DOI
Andrianov, A. N. On factorization of Hecke polynomials for the symplectic group of genus n. (English) Zbl 0399.10029 Math. USSR, Sb. 33, 343-373 (1977). MSC: 11F27 11F67 PDF BibTeX XML Cite \textit{A. N. Andrianov}, Math. USSR, Sb. 33, 343--373 (1977; Zbl 0399.10029) Full Text: DOI
Andrianov, A. N. On the expansion of Hecke polynomials for the symplectic group of genus n. (Russian) Zbl 0392.10029 Mat. Sb., N. Ser. 104(146), 390-427 (1977). MSC: 11F27 PDF BibTeX XML Cite \textit{A. N. Andrianov}, Mat. Sb., Nov. Ser. 104(146), 390--427 (1977; Zbl 0392.10029) Full Text: EuDML
Andrianov, A. N. On zeta-functions of Rankin type associated with Siegel modular forms. (English) Zbl 0391.10025 Modular Funct. of one Var. VI, Proc. int. Conf., Bonn 1976, Lect. Notes Math. 627, 325-339 (1977). MSC: 11F27 11F67 11M35 PDF BibTeX XML
Linnik, Yu. V. Additive problems and eigenvalues of the modular operators. (English) Zbl 0116.03604 Proc. Int. Congr. Math., Stockholm 1962, 270-284 (1963). Reviewer: O. Körner MSC: 11D79 11D45 11F72 11F25 11L05 PDF BibTeX XML