This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J. Lagarias and A.M. Odlyzko, Effective versions of the Chebotarev density theorem, in: Algebraic Number Fields ed. A. Fröhlich, pp.409–464, New York, Academic press, 1977.
D. Lehmer, Ramanujan's function T(n), Duke Math. J. 10(1943) 483–492.
V. Kumar Murty, Explicit formulae and the Lang-Trotter conjecture, in: Proceedings of the Edmonton number theory conference, ed. M.V. Subbarao, to appear.
M. Ram Murty and V. Kumar Murty, Prime divisors of Fourier coefficients of modular forms, Duke Math. J. 51 (1984)57–76.
K. Ribet, Galois representations attached to eigenforms with Nebentypus, Lecture Notes in Mathematics 601, pp. 17–52, Springer-Verlag, 1977.
J.-P. Serre, Facteurs locaux des fonctions zêta des variétés algébriques (Definitions et conjectures),Sém.Délange-Pisot-Poitou, 1969/70. Exposé 19.
J. P. Serre, Divisibilité de certaines fonctions arithmétiques, L'Ens. Math., 22 (1976) 227–260.
J.-P. Serre, Quelques applications du théorème de densité de Chebotarev, Publ. Math. IHES, 54 (1982)123–201
G. Shimura, Introduction to the arithmetic theory of automorphic forms, Publ. Math. Soc. Japan 11, Princeton University Press, Princeton 1971.
I.M. Vinogradov, The method of trigonometrical sums in the Theory of numbers, London, Interscience, 1947.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Additional information
Dedicated to Professor Paul Erdös on the occasion of his 70th birthday
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
Murty, V.K. (1985). Fourier coefficients of modular forms. In: Alladi, K. (eds) Number Theory. Lecture Notes in Mathematics, vol 1122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075760
Download citation
DOI: https://doi.org/10.1007/BFb0075760
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15222-4
Online ISBN: 978-3-540-39642-0
eBook Packages: Springer Book Archive
