Keywords
- Eisenstein Series
- Cusp Form
- Local Component
- Automorphic Representation
- Euler Product
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References
GALLAGHER P.X., A large sieve density estimate near s=1, Inventiones Math. 11 (1970), 329–339.
GELBART S., Automorphic Forms on Adele Groups, Annals of Mathematics Studies, Princeton University Press, 1974.
JACQUET H., Automorphic forms on GL(2). Part II. Springer Lecture Notes, Volume 278, 1972.
KUBOTA T., Elementary Theory of Eisenstein Series, Kodansha Ltd. and John Wiley, 1973.
LANGLANDS R.P., Euler Products, Yale University Press, 1971.
MONTGOMERY H.L., The pair correlation of zeros of the zeta function, Proc. Sympos. Pure Math., vol. 24, Amer. Math. Soc., Providence, R.I., 1973, 181–193.
RIEMANN B., Ueber die Anzahl der Primzahlen unter einer gegebenen Grosse, Collected Works, Dover Publications, Inc., New York, 1953, 145–155.
SCHWARTZ L., Théorie des Distributions, vol. II, Hermann, Paris, 1959.
SERRE J-P., Abelian L-Adic Representations and Elliptic Curves, W.A. Benjamin, Inc., New York, 1968.
SERRE J-P., Facteurs locaux de fonctions zeta des variétés algébriques (définitions ét conjectures), Séminaire Delange-Pisot-Poitou, no. 19 (1970).
SHAHIDI F., Functional equation satisfied by certain L-functions, preprint (1976).
SIEGEL C.L., On the zeros of the Dirichlet L-functions, Ann. of Math. 46, (1945), 409–422.
TATE J.T., Algebraic cycles and poles of zeta functions, Proc. Purdue Univ. Conf., 1963, 93–110.
WEIL A., Sur les formules explicites de la théorie des nombres, Isv. Acad. Nauk 36 (1972), 3–18.
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Moreno, C.J. (1977). Analytic properties of euler products of automorphic representations. In: Serre, JP., Zagier, D.B. (eds) Modular Functions of One Variable VI. Lecture Notes in Mathematics, vol 627. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065295
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DOI: https://doi.org/10.1007/BFb0065295
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