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• W2023718956 abstract "Communications on Pure and Applied MathematicsVolume 41, Issue 6 p. 815-831 Article Fourth moments of L-functions attached to newforms W. Duke, W. Duke Rutgers UniversitySearch for more papers by this author W. Duke, W. Duke Rutgers UniversitySearch for more papers by this author First published: September 1988 https://doi.org/10.1002/cpa.3160410604Citations: 3AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Bibliography 1 Ahlfors, L. V., Möbius transformations and Clifford numbers, in Differential Geometry and Complex Analysis, Vol. dedic. H. E. Rauch, Springer-Verlag, New York, 1985. pp. 63–73. 2 Atkin, A. O., and Lehner, J., Hecke operators on Γ0(m), Math. Ann. 185, 1986, pp. 134–160. 3 Bleistein, N., and Handelsman, R. A., Asymptotic Expansions of Integrals, Dover, New York, 1986. 4 Chandrasekharan, K., and Narasimhan, R., The approximate functional equation for a class of zeta-functions, Math. Ann. 152, 1963, pp. 30–64. 5 Deshouillers, J.-M., and Iwaniec, H., Kloosterman sums and Fourier coefficients of cusp forms, Inv. Math. 70, 1982, pp. 219–288. 6 Duke, W., Some problems in multi-dimensional analytic number theory, to appear in Acta Arithmetica. 7 Eichler, M., The Basis Problem for Modular Forms and the Traces of the Hecke Operators, Lecture Notes in Mathematics 320, Springer-Verlag, Berlin, 1972, pp. 75–151. 8 Good, A., The square mean of Dirichlet series associated with cusp forms, Mathematika 29, 1982, pp. 278–295. 9 Gradshteyn, I., and Rzyhik, I., Table of Integrals and Products, Academic Press, New York, 1980. 10 Hardy, G. H., Collected Papers II, Clarendon Press, Oxford, 1967. 11 Hecke, E., Mathematische Werke, Vandenhoeck and Ruprecht, Göttingen, 1983,. 12 Hecke, E., Lectures on Dirichlet Series, Modular Functions, and Quadratic Forms, Vandenhoeck and Ruprecht, Göttingen, 1983,. 13 Helgason, S., Groups and Geometric Analysis, Academic Press, Orlando, 1984. 14 Hurwitz, A., Vorlesungen über die Zahlentheorie der Quaternionen, Springer-Verlag, Berlin, 1919. 15 Ingham, A. E., Mean value theorems in the theory of the Riemann zeta-function, Proc. London Math. Soc. 27 (2), 1926, pp. 273–300. 16 Jones, D. S., and Kline, M., Asymptotic expansions of multiple integrals and the method of stationary phase, J. Math. and Physics 37, 1958, pp. 1–58. 17 Krieg, A., Modular Forms on Half-Spaces of Quaternions, Lecture Notes in Mathematics 1143, Springer Verlag, Berlin, 1985. 18 Lebedev, N. N., Special Functions and their Applications, trans. R. Silverman, Dover, New York, 1972. 19 Linnik, Y. V., Ergodic Properties of Algebraic Fields, Springer-Verlag, New York, 1968. 20 Maass, H., Automorphe Funktionen von mehreren Veränderlichen und Dirichletsche Reihen, Abh. Math. Seminar Hansischen Univ. 16, Hef 3/4, 1949, pp. 72–100. 21 Pizer, A., The representability of modular forms by theta series, J. Math. Soc. Japan 28, 1976, pp. 689–698. 22 Pizer, A., An algorithm for computing modular forms on Γ0(N), J. of Algebra 64, pp. 340–390, 1980. 23 Potter, H. S., The mean values of certain Dirichlet series, II, Proc. Lon. Math. Soc. 47, 1945, pp. 1–19. 24 Rankin, R. A., A certain class of multiplicative functions, Duke Math. J. 12, 1945, pp. 281–306. 25 Rankin, R. A., Modular Forms and Functions, Cambridge University Press, Cambridge, 1977. 26 Sarnak, P., Fourth moments of Grössencharakeren zeta functions, Comm. Pure Appl. Math. 38, 1985, pp. 167–178. 27 Siegel, C. L., Lectures on Advanced Analytic Number Theory, Tata Inst. Bombay, 1961. 28 Titchmarsh, E., The Theory of the Riemann Zeta Function, Clarendon Press, Oxford, 1951. 29 Vahlen, K. T., Über Bewegungen und komplexe Zahlen, Math. Ann. 55, 1902, pp. 585–593. 30 Vilenkin, N. J., Special Functions and the Theory of Group Representations, Trans, of MaTh. Monographs 22, AMS, Providence, 1968,. Citing Literature Volume41, Issue6September 1988Pages 815-831 ReferencesRelatedInformation" @default.
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