A linear lower bound on the gonality of modular curves, Internat. Math. Res. Notices, issue.20, 1996. ,
Introduction to numerical continuation methods. Reprint of the 1990 edition, MR1059455 (92a:65165)]. Classics in Applied Mathematics, 2003. ,
DOI : 10.1137/1.9780898719154
Twists of newforms and pseudo-eigenvalues ofW-operators, Inventiones Mathematicae, vol.168, issue.3, pp.221-243, 1978. ,
DOI : 10.1007/BF01390245
On the computation of Galois representations associated to level one modular forms ,
A polynomial with Galois group SL 2 (F 16 ,
Modular forms applied to the computational inverse Galois problem ,
Computations with modular forms and Galois representations ,
Polynomials for projective representations of level one forms ,
Edixhoven, Bas, First description of the algorithms ,
Approximating V f over the complex numbers ,
Algorithms for modular elliptic curves. Second edition, 1997. ,
Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, 1962. ,
DOI : 10.1090/chel/356
Formes modulaires et repr??sentations e-adiques, Lecture Notes in Math, vol.179, pp.139-172, 1971. ,
DOI : 10.1007/BFb0058810
Identifying Frobenius elements in Galois groups, Algebra & Number Theory, vol.7, issue.6, 2010. ,
DOI : 10.2140/ant.2013.7.1325
A first course in modular forms, Graduate Texts in Mathematics, vol.228, pp.0-387, 2005. ,
Modern computer algebra, pp.0-521, 1999. ,
DOI : 10.1017/CBO9781139856065
A tameness criterion for Galois representations associated to modular forms (mod p). Duke Math, J, issue.2, pp.61-445, 1990. ,
An introduction to the theory of numbers, Bulletin of the American Mathematical Society, vol.35, issue.6, 2008. ,
DOI : 10.1090/S0002-9904-1929-04793-1
Diophantine geometry - An introduction. Graduate Texts in Mathematics, 2000. ,
Serre???s modularity conjecture (I), Inventiones mathematicae, vol.141, issue.3, pp.485-504 ,
DOI : 10.1007/s00222-009-0205-7
Linear algebra algorithms for divisors on an algebraic curve, Mathematics of Computation, vol.73, issue.245, pp.333-357, 2004. ,
DOI : 10.1090/S0025-5718-03-01567-9
Asymptotically fast group operations on Jacobians of general curves, Mathematics of Computation, vol.76, issue.260, pp.2213-2239, 2007. ,
DOI : 10.1090/S0025-5718-07-01989-8
Introduction to modular forms With appendices by D. Zagier and Walter Feit. Corrected reprint of the 1976 original, Grundlehren der Mathematischen Wissenschaften, 1995. ,
on l-adic representations attached to modular forms II, Glasgow Mathematical Journal, vol.296, pp.185-194, 1985. ,
DOI : 10.2307/1971151
A short proof of the Prime Number Theorem for arithmetic progressions. 2010 preprint available at http://academic.csuohio.edu/soprunov i/pdf/primes.pdf [Ste07] Stein, William, Modular forms, a computational approach. With an appendix by, Graduate Studies in Mathematics, vol.79, 2007. ,
On ???-ADIC Representations and Congruences for Coefficients of Modular Forms, Proc. Internat. Summer School, pp.1-55, 1972. ,
DOI : 10.1007/978-3-540-37802-0_1
On the computation of coefficients of modular forms: the p-adic approach ,