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Book Information:

Author: Carlos Moreno
Title: Advanced analytic number theory: L-functions
Additional book information: Mathematical Surveys and Monographs, vol. 115, American Mathematical Society, Providence, RI, 2005, xx+291 pp., ISBN 978-0-8218-3641-5, US$76.00$

• James Arthur, Harmonic analysis and group representations, Notices Amer. Math. Soc. 47 (2000), no. 1, 26–34. MR 1733064
• Farrell Brumley, Effective multiplicity one on ${\rm GL}_N$ and narrow zero-free regions for Rankin-Selberg $L$-functions, Amer. J. Math. 128 (2006), no. 6, 1455–1474. MR 2275908
• Daniel Bump, Solomon Friedberg, and Jeffrey Hoffstein, On some applications of automorphic forms to number theory, Bull. Amer. Math. Soc. (N.S.) 33 (1996), no. 2, 157–175. MR 1359575, DOI https://doi.org/10.1090/S0273-0979-96-00654-4
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• Stephen Gelbart and Freydoon Shahidi, Boundedness of automorphic $L$-functions in vertical strips, J. Amer. Math. Soc. 14 (2001), no. 1, 79–107. MR 1800349, DOI https://doi.org/10.1090/S0894-0347-00-00351-9
M. Harris, ``Review of Introduction to the Langlands Program'', Bull. Amer. Math. Soc. (N.S.), 41 (2004), 257-266.
• Henryk Iwaniec and Emmanuel Kowalski, Analytic number theory, American Mathematical Society Colloquium Publications, vol. 53, American Mathematical Society, Providence, RI, 2004. MR 2061214
• H. Jacquet and J. A. Shalika, On Euler products and the classification of automorphic representations. I, Amer. J. Math. 103 (1981), no. 3, 499–558. MR 618323, DOI https://doi.org/10.2307/2374103
E. Kowalski, ``Elementary Theory of L-functions'', An Introduction to the Langlands Program, Birkhäuser, Boston, 2003.
• R. P. Langlands, Problems in the theory of automorphic forms, Lectures in modern analysis and applications, III, Springer, Berlin, 1970, pp. 18–61. Lecture Notes in Math., Vol. 170. MR 0302614
• Jianya Liu, Yonghui Wang, and Yangbo Ye, A proof of Selberg’s orthogonality for automorphic $L$-functions, Manuscripta Math. 118 (2005), no. 2, 135–149. MR 2177681, DOI https://doi.org/10.1007/s00229-005-0563-4
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• Peter Sarnak, Nonvanishing of $L$-functions on $\mathfrak R(s)=1$, Contributions to automorphic forms, geometry, and number theory, Johns Hopkins Univ. Press, Baltimore, MD, 2004, pp. 719–732. MR 2058625
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• Freydoon Shahidi, Automorphic $L$-functions and functoriality, Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002) Higher Ed. Press, Beijing, 2002, pp. 655–666. MR 1957073

[Art]

J. Arthur, ``Harmonic Analysis and Group Representations'', Notices of A.M.S., 47 (2000), no. 1, 26-34. MR 1733064

[Bru]

F. Brumley, ``Effective Multiplicity One for and Narrow Zero-free Regions for Rankin-Selberg -functions'', Amer. J. Math., 128 (2006), no. 6, 1455-1474. MR 2275908

[BFH]

D. Bump, S. Friedberg, and J. Hoffstein, ``On Some Applications of Automorphic Forms to Number Theory'', Bull. Amer. Math. Soc. (N.S.), 33 (1996), 157-175. MR 1359575 (97a:11072)

[GLS]

S. Gelbart, E. Lapid, and P. Sarnak, ``A New Method for Lower Bounds of L-functions'', C. R. Acad. Sci. Paris, Ser. I, 399 (2004), 91-94; also see S. Gelbart and E. Lapid, ``Lower Bounds for L-functions at the Edge of the Critical Strip'', Amer. J. Math., 128 (2006), 619-638. MR 2078295 (2005f:11197), MR 2230919 (2007d:11057)

[GeS]

S. Gelbart and F. Shahidi, ``Boundedness of Automorphic L-Functions in Vertical Strips'', J. Amer. Math. Soc., 41 (2001), 79-107. MR 1800349 (2003a:11056)

[Har]

M. Harris, ``Review of Introduction to the Langlands Program'', Bull. Amer. Math. Soc. (N.S.), 41 (2004), 257-266.

[IwK]

H. Iwaniec and E. Kowalski, Analytic Number Theory, American Math. Society Colloquium Publication, Vol. 53, 2004. MR 2061214 (2005h:11005)

[JSh]

H. Jacquet and J. Shalika, ``On Euler Products and the Classification of Automorphic Representations'', Amer. J. Math., 103 (1981), 499-558, 777-815. MR 0618323 (82m:10050a), MR 0623137(82m:10050b)

[Kow]

E. Kowalski, ``Elementary Theory of L-functions'', An Introduction to the Langlands Program, Birkhäuser, Boston, 2003.

[Lan]

R. Langlands, ``Problems in the Theory of Automorphic Forms'', Lectures in Modern Analysis and Applications, Lecture Notes in Math., vol. 170, Springer-Verlag, New York, 1970, pp. 18-86. MR 0302614 (46:1758)

[LWY]

J. Liu, Y. Wang, and Y. Ye, ``A Proof of Selberg's Orthogonality for Automorphic L-Functions'', Manuscripta Math., 118 (2005), 135-149. MR 2177681 (2006j:11072)

[Mic]

P. Michel, Analytic Number Theory and Families of Automorphic L-Functions, to appear.

[Mor1]

C. Moreno, ``Explicit Formulas in the Automorphic Forms'', Number Theory Day: Proceedings, New York, 1976, Lecture Notes in Math., vol. 627, Springer-Verlag, 1977, pp. 73-216. MR 0476650 (57:16209)

[Mor2]

C. Moreno, ``Analytic Proof of the Strong Multiplicity One Theorem'', Amer. J. Math., 107 (1985), 163-206. MR 778093 (86m:22027)

[Mur]

R. Murty and K. Murty, Non-vanishing of L-functions and Applications, Progress in Mathematics, vol. 157, Birkhäuser-Verlag, Basel-Boston-Berlin, 1997. MR 1482805 (98h:11106)

[RuS]

Z. Rudnick and P. Sarnak, ``Zeros of Principal L-functions and Random Matrix Theory'', Duke Math. J., 81 (1996), 269-322. MR 1395406 (97f:11074)

[Sar]

P. Sarnak, ``Non-vanishing of L-functions on Re(s)=1'', Contributions to Automorphic Forms, Geometry, and Number Theory, Johns Hopkins Univ. Press, Baltimore, 2004, pp. 719-732. MR 2058625 (2005f:11184)

[Sel]

A. Selberg, ``Old and New Conjectures and Results about a Class of Dirichlet Series'', Collected Papers, Vol. II, Springer-Verlag, pp. 47-63. MR 1220477 (94f:11085)

[Sha]

F. Shahidi, ``Automorphic L-functions and Functoriality'', International Cong. of Mathematicians, Vol. III (2002), pp. 655-666. MR 1957073 (2003k:11084)