&. A. Alkan and . Zaharescu, Nonvanishing of Fourier coefficients of newforms in progressions, Acta Arithmetica, vol.116, issue.1, pp.81-98, 2005.
DOI : 10.4064/aa116-1-7

N. C. Ankeny, The Least Quadratic Non Residue, The Annals of Mathematics, vol.55, issue.1, pp.55-65, 1952.
DOI : 10.2307/1969420

S. Baier, A remark on the least n with ?? (n) ??? 1, Archiv der Mathematik, vol.86, issue.1, pp.67-72, 2006.
DOI : 10.1007/s00013-005-1382-2

T. Barnet-lamb, D. Geraghty, M. Harris, and &. R. Taylor, A Family of Calabi???Yau Varieties and Potential Automorphy II, Publications of the Research Institute for Mathematical Sciences, pp.47-76, 2011.
DOI : 10.2977/PRIMS/31

J. H. Bruinier, On a Theorem of Vign??ras, Abhandlungen aus dem Mathematischen Seminar der Universit??t Hamburg, vol.60, issue.1, pp.163-168, 1998.
DOI : 10.1007/BF02942560

J. H. Bruinier and &. W. Kohnen, Sign changes of coefficients of half integral weight modular forms, pp.57-65, 2008.
DOI : 10.1017/CBO9780511543371.005

F. Brumley, Effective multiplicity one on GL n and narrow zero-free regions for Rankin-Selberg L- functions, American Journal of Mathematics, vol.128, issue.6, pp.1455-1474, 2006.
DOI : 10.1353/ajm.2006.0042

URL : https://hal.archives-ouvertes.fr/hal-00142728

C. J. Bushnell and &. G. Henniart, An Upper Bound on Conductors for Pairs, Journal of Number Theory, vol.65, issue.2, pp.183-196, 1997.
DOI : 10.1006/jnth.1997.2142

D. A. Burgess, The distribution of quadratic residues and non-residues, Mathematika, vol.4, issue.02, pp.106-112, 1957.
DOI : 10.1112/S0025579300001157

D. A. Burgess, -Series. II, Proc. London Math. Soc. (3), pp.524-536, 1963.
DOI : 10.1112/plms/s3-13.1.524

URL : https://hal.archives-ouvertes.fr/hal-00835551

D. A. Burgess, = 3, Journal of the London Mathematical Society, vol.2, issue.2, pp.33-219, 1986.
DOI : 10.1112/jlms/s2-33.2.219

J. W. Cogdell, L-functions and Converse Theorems for GL n , in: Automorphic Forms and Applications, 2007.

W. Duke and &. E. Kowalski, A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations, Inventiones mathematicae, vol.139, issue.1, pp.1-39, 2000.
DOI : 10.1007/s002229900017

P. D. Elliott, A problem of Erd? os concerning power residue sums, Acta Arith, pp.131-149, 1967.

P. D. Elliott, The distribution of primitive roots, Canad, J. Math, vol.21, pp.822-841, 1969.

P. D. Elliott, The distribution of power residues and certain related results, Acta Arith, pp.141-159, 1970.

P. D. Elliott, ), Proc. London Math. Soc. (3), pp.28-796, 1970.
DOI : 10.1112/plms/s3-21.1.28

P. Erd?-os, Remarks on number theory. I, Mat, Lapok, vol.12, pp.10-17, 1961.

P. Erd?-os, On the difference of consecutive terms of sequences, defined by divisibility properties, Acta Arith, pp.175-182, 1966.

V. R. Fridlender, On the least n-th power non-residue, Dokl. Akad. Nauk SSSR, vol.66, pp.351-352, 1949.

S. Gelbart and &. H. Jacquet, A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$, Annales scientifiques de l'??cole normale sup??rieure, vol.11, issue.4, pp.471-552, 1978.
DOI : 10.24033/asens.1355

S. Gelbart and &. F. Shahidi, Boundedness of automorphic L-functions in vertical strips, Journal of the American Mathematical Society, vol.14, issue.01, pp.79-107, 2001.
DOI : 10.1090/S0894-0347-00-00351-9

S. W. Graham and &. J. Ringrose, Lower Bounds for Least Quadratic Non-Residues, Progr. Math, vol.85, pp.269-309, 1990.
DOI : 10.1007/978-1-4612-3464-7_18

G. Harcos and &. P. Michel, The subconvexity problem for Rankin???Selberg L-functions and equidistribution of Heegner points. II, Inventiones mathematicae, vol.163, issue.3, pp.581-655, 2006.
DOI : 10.1007/s00222-005-0468-6

J. L. Hafner, On the representation of the summatory functions of a class of arithmetical functions, Lecture Notes in Math, vol.48, issue.3, pp.148-165, 1980.
DOI : 10.2307/1969179

D. R. Heath-brown, A mean value estimate for real character sums, Acta Arith, pp.235-275, 1995.

D. R. Heath-brown and &. Tsang, Sign Changes of E(T), ??(x), and P(x), Journal of Number Theory, vol.49, issue.1, pp.73-83, 1994.
DOI : 10.1006/jnth.1994.1081

T. A. Hulse, E. M. Kiral, C. I. Kuan, and &. Lim, The sign of Fourier coefficients of halfintegral weight cusp forms, preprint

H. Iwaniec, Topics in classical automorphic forms, Graduate Studies in Mathematics, vol.17, 1997.
DOI : 10.1090/gsm/017

H. Iwaniec, W. Kohnen, and &. J. Sengupta, THE FIRST NEGATIVE HECKE EIGENVALUE, International Journal of Number Theory, vol.03, issue.03, pp.355-363, 2007.
DOI : 10.1142/S1793042107001024

H. Iwaniec and &. E. Kowalski, Analytic number theory, p.615, 2004.
DOI : 10.1090/coll/053

URL : https://hal.archives-ouvertes.fr/hal-00180743

H. Iwaniec and &. P. Sarnak, Perspectives on the Analytic Theory of L-Functions, Geom. Funct. Anal. special issue, pp.705-741, 2000.
DOI : 10.1007/978-3-0346-0425-3_6

H. Jacquet and &. J. Shalika, On Euler products and the classification of automorphic representations , I, Amer, J. Math. II, Amer. J. Math, vol.103, issue.103, pp.499-558, 1981.

H. H. Kim and &. F. Shahidi, Cuspidality of symmetric powers with applications, Duke Math, J, vol.112, issue.1, pp.177-197, 2002.

W. Kohnen, On Hecke eigenvalues of newforms, Mathematische Annalen, vol.329, issue.4, pp.623-628, 2004.
DOI : 10.1007/s00208-004-0526-1

W. Kohnen, SIGN CHANGES OF FOURIER COEFFICIENTS AND EIGENVALUES OF CUSP FORMS, Number Theory, pp.97-107, 2007.
DOI : 10.1142/9789812770134_0004

W. Kohnen, A SHORT NOTE ON FOURIER COEFFICIENTS OF HALF-INTEGRAL WEIGHT MODULAR FORMS, International Journal of Number Theory, vol.06, issue.06, pp.1255-1259, 2010.
DOI : 10.1142/S1793042110003484

W. Kohnen, Y. Lau, and &. E. Shparlinski, ON THE NUMBER OF SIGN CHANGES OF HECKE EIGENVALUES OF NEWFORMS, Journal of the Australian Mathematical Society, vol.116, issue.01, pp.87-94, 2008.
DOI : 10.1007/s00013-003-4806-x

W. Kohnen, Y. Lau, and J. Wu, Fourier coefficients of cusp forms of half-integral weight, Mathematische Zeitschrift, vol.60, issue.1
DOI : 10.1007/s00209-012-0994-z

URL : https://hal.archives-ouvertes.fr/hal-01278411

E. Kowalski, E. Kowalski, Y. Lau, K. Soundararajan, and &. J. Wu, Excluding certain bad behavior of Fourier coefficients of modular forms, preprint, On modular signs, Math. Proc. Camb. Phil. Soc, pp.149-389, 2007.

E. Kowalski, P. Michel, and &. J. Vanderkam, Rankin-Selberg L-functions in the level aspect, Duke Math, J, vol.114, issue.1, pp.123-191, 2002.

Y. Lau, J. Liu, and &. J. Wu, Coefficients of symmetric square L-functions, Science China Mathematics, vol.54, issue.9, pp.2317-2328, 2010.
DOI : 10.1007/s11425-010-4046-z

URL : https://hal.archives-ouvertes.fr/hal-01278389

Y. Lau, J. Liu, and &. J. Wu, The first negative coefficients of symmetric square L-functions, The Ramanujan Journal

Y. Lau and &. Tsang, Large values of error terms of a class of arithmetical functions, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2002, issue.544, pp.25-38, 2002.
DOI : 10.1515/crll.2002.026

Y. Lau and &. J. Wu, ON THE LEAST QUADRATIC NON-RESIDUE, International Journal of Number Theory, vol.04, issue.03, pp.423-435, 2008.
DOI : 10.1142/S1793042108001432

URL : https://hal.archives-ouvertes.fr/hal-00097136

Y. Lau and &. J. Wu, A large sieve inequality of Elliott-Montgomery-Vaughan type and two applications, IMRN

Y. Lau and &. J. Wu, The number of Hecke eigenvalues of same signs, Mathematische Zeitschrift, vol.313, issue.1, pp.957-970, 2009.
DOI : 10.1007/s00209-008-0448-9

URL : https://hal.archives-ouvertes.fr/hal-00347529

U. V. Linnik, A remark on the least quadratic non-residue, C. R. (Doklady) Acad. Sci. URSS (N.S.), vol.36, pp.119-120, 1942.

J. Liu, Y. Qu, and &. J. Wu, Two Linnik-type problems for automorphic L-functions, Mathematical Proceedings of the Cambridge Philosophical Society, vol.151, issue.02, pp.219-227, 2011.
DOI : 10.1016/j.jnt.2009.08.015

URL : https://hal.archives-ouvertes.fr/hal-01277862

J. Liu and &. Wang, A theorem on analytic strong multiplicity one, Journal of Number Theory, vol.129, issue.8, pp.1874-1882, 2009.
DOI : 10.1016/j.jnt.2008.10.009

G. Lü, On a divisor problem related to the Epstein zeta-function, Bull. Lond, Math. Soc, vol.42, pp.267-274, 2010.

G. Lü, J. Wu, and &. W. Zhai, On a divisor problem related to the Epstein zeta-function, II, Journal of Number Theory, vol.131, issue.9, pp.1734-1742, 2011.
DOI : 10.1016/j.jnt.2011.03.003

G. Lü, J. Wu, and &. W. Zhai, On a divisor problem related to the Epstein zeta-function, III, Quart, J. Math

K. Matomäki, On signs of Fourier coefficients of cusp forms, Math. Proc. Camb
DOI : 10.2307/3062134

B. Mazur, Finding meaning in error terms, Bulletin of the American Mathematical Society, vol.45, issue.02, pp.185-228, 2008.
DOI : 10.1090/S0273-0979-08-01207-X

P. Michel and &. A. Venkatesh, The subconvexity problem for GL2, Publications math??matiques de l'IH??S, vol.28, issue.1, pp.171-271, 2010.
DOI : 10.1007/s10240-010-0025-8

C. Moeglin and &. Waldspurger, Le spectre r??siduel de ${\rm GL}(n)$, Annales scientifiques de l'??cole normale sup??rieure, vol.22, issue.4, pp.605-674, 1989.
DOI : 10.24033/asens.1595

H. L. Montgomery, Topics in multiplicative number theory, Lecture Notes in Math, 1971.

H. L. Montgomery and &. C. Vaughan, Extreme values of Dirichlet L-functions at 1, pp.1039-1052, 1997.
DOI : 10.1515/9783110285581.1039

C. J. Moreno, Analytic Proof of the Strong Multiplicity One Theorem, American Journal of Mathematics, vol.107, issue.1, pp.163-206, 1985.
DOI : 10.2307/2374461

M. R. Murty, Oscillations of Fourier coefficients of modular forms, Mathematische Annalen, vol.12, issue.4, pp.431-446, 1983.
DOI : 10.1007/BF01456059

V. K. Murty, On the Sato-Tate Conjecture, Progr. Math, vol.26, pp.195-205, 1982.
DOI : 10.1007/978-1-4899-6699-5_12

K. Ono, The web of modularity: arithmetic of the coefficients of modular forms and q-series, CBMS Regional Conference Series in Mathematics, vol.102, 2004.
DOI : 10.1090/cbms/102

Y. Qu, Linnik-type problems for automorphic L-functions, Journal of Number Theory, vol.130, issue.3, pp.786-802, 2010.
DOI : 10.1016/j.jnt.2009.08.015

URL : https://hal.archives-ouvertes.fr/hal-01277862

Y. Qu, Sign changes of Fourier coefficients of Maass eigenforms, Science in China Series A: Mathematics, vol.137, issue.1, pp.243-250, 2010.
DOI : 10.1007/s11425-009-0219-z

D. Ramakrishnan, Modularity of the Rankin-Selberg L-Series, and Multiplicity One for SL(2), The Annals of Mathematics, vol.152, issue.1, pp.45-111, 2000.
DOI : 10.2307/2661379

H. Salié, ??ber den kleinsten positiven quadratischen Nichtrest nach einer Primzahl, Mathematische Nachrichten, vol.3, issue.1, pp.7-8, 1949.
DOI : 10.1002/mana.19490030104

J. Serre, Quelques applications du théorème de densité de Chebotarev, Inst. HautesÉtudesHautes´HautesÉtudes Sci. Publ. Math, vol.54, pp.323-401, 1981.

F. Shahidi, H. Kisilevsky, M. R. Murty, and . Proc, Symmetric power L-functions for GL(2), in: Elliptic curves and related topics, Lecture Notes Math. Soc, pp.159-182, 1994.

F. Shahidi, On Certain L-Functions, American Journal of Mathematics, vol.103, issue.2, pp.297-355, 1981.
DOI : 10.2307/2374219

F. Shahidi, Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n), American Journal of Mathematics, vol.106, issue.1, pp.67-111, 1984.
DOI : 10.2307/2374430

F. Shahidi, Local coefficients as Artin factors for real groups, Duke Math, J, vol.52, pp.973-1007, 1985.

F. Shahidi, A Proof of Langlands' Conjecture on Plancherel Measures; Complementary Series of ???-adic groups, The Annals of Mathematics, vol.132, issue.2, pp.273-330, 1990.
DOI : 10.2307/1971524

G. Shimura, On Modular Forms of Half Integral Weight, The Annals of Mathematics, vol.97, issue.3, pp.440-481, 1973.
DOI : 10.2307/1970831

M. Vignéras, Facteurs gamma etéquationsetéquations fonctionnelles In : Modular functions of one variable VI, Lecture Notes in Math, pp.79-103, 1977.

I. M. Vinogradov, Sur la distribution des résidus et non résidus de puissances, Permski J. Phys. Isp. Ob. -wa, vol.1, pp.18-28, 1918.

Y. Wang, The analytic strong multiplicity one theorem for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi mathvariant="normal">GL</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi mathvariant="double-struck">A</mml:mi><mml:mi>K</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math>, Journal of Number Theory, vol.128, issue.5, pp.1116-1126, 2008.
DOI : 10.1016/j.jnt.2007.05.009

J. Wu, Power sums of Hecke eigenvalues and application, Acta Arith, pp.333-344, 2009.

J. Wu and &. Zhai, DISTRIBUTION OF HECKE EIGENVALUES OF NEWFORMS IN SHORT INTERVALS, The Quarterly Journal of Mathematics, vol.64, issue.2
DOI : 10.1093/qmath/has007

URL : https://hal.archives-ouvertes.fr/hal-01278937