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REFERENCES
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M. Boylan, Exceptional congruences for the coefficients of certain eta-product newforms, J. Number Theory 98 (2003), no. 2, 377-389.
G. Everest, A. van der Poorten, I. Shparlinski and T. Ward, Recurrence Sequences, Amer. Math. Soc., 2003; see esp. p. 255.
N. J. Fine, Basic Hypergeometric Series and Applications, Amer. Math. Soc., 1988; p. 77, Eq. (32.2).
Bruce Jordan and Blair Kelly (blair.kelly(AT)att.net), The vanishing of the Ramanujan tau function, preprint, 2001.
D. H. Lehmer, The Vanishing of Ramanujan's Function tau(n), Duke Mathematical Journal, 1947, pp. 429-433.
D. H. Lehmer, Tables of Ramanujan's function tau(n), Math. Comp., 24 (1970), 495-496.
Yu. I. Manin, Mathematics and Physics, Birkhaeuser, Bosten, 1981.
H. McKean and V. Moll. Elliptic Curves, Camb. Univ. Press, p. 139.
S. C. Milne, Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions and Schur functions, Ramanujan J., 6 (2002), 7-149.
M. Ram Murty, The Ramanujan tau-function, pp. 269-288 of G. E. Andrews et al., editors, Ramanujan Revisited. Academic Press, NY, 1988.
S. Ramanujan, On Certain Arithmetical Functions. Collected Papers of Srinivasa Ramanujan, p. 153, Ed. G. H. Hardy et al., AMS Chelsea 2000.
S. Ramanujan, On Certain Arithmetical Functions. Ramanujan's Papers, p. 196, Ed. B. J. Venkatachala et al., Prism Books, Bangalore 2000.
J.-P. Serre, A course in Arithmetic, Springer-Verlag, 1973, see p. 98.
J.-P. Serre, Sur la lacunatit\'e des puissances de eta, Glasgow Math. Journal, 27 (1985), 203-221.
J. H. Silverman, Advanced Topics in the Arithmetic of Elliptic Curves, Springer, see p. 482.
H. P. F. Swinnerton-Dyer, On l-adic representations and congruences for coefficients of modular forms, pp. 1-55 of Modular Functions of One Variable III (Antwerp 1972), Lect. Notes Math., 350, 1973.
H. P. F. Swinnerton-Dyer, Congruence properties of tau(n), pp. 289-311 of G. E. Andrews et al., editors, Ramanujan Revisited. Academic Press, NY, 1988.
G. N. Watson, A table of Ramanujan's function tau(n), Proc. London Math. Soc., 51 (1950), 1-13.
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LINKS
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Simon Plouffe, Table of n, a(n) for n = 1..16090
B. C. Berndt and K. Ono, Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary
B. C. Berndt and K. Ono, Ramanujan's unpublished manuscript...
B. C. Berndt and K. Ono, Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary
F. Brunault, La fonction Tau de Ramanujan
N. A. Carella, Note on the Tau Function
D. X. Charles, Computing The Ramanujan Tau Function
John Cremona, Home page
J. A. Ewell, Ramanujan's Tau Function
J. A. Ewell, Ramanujan's Tau Function
J. L. Hafner and J. Stopple, The Ramanujan Journal 4(2) 2000, A Heat Kernel Associated to Ramanujan's Tau Function
Jerry B. Keiper, Ramanujan's Tau-Dirichlet Series
F. Luca and I. E. Shparlinski, Arithmetic properties of the Ramanujan function
K. Matthews, Computing Ramanujan's tau function
S. C. Milne, New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan's tau function, Proc. Nat. Acad. Sci. USA, 93 (1996) 15004-15008.
P. Moree, On some claims in Ramanujan's 'unpublished' manuscript on the partition and tau functions
M. R. Murty, V. K. Murty and T. N. Shorey, Odd values of the Ramanujan tau-function
Oklahoma State Mathematics Department, Ramanujan tau L-Function
J. Perry, Ramanujan's Tau Function
S. Ramanujan, Collected Papers, Table of tau(n);n=1 to 30
J. P. Serre, An interpretation of some congruences concerning Ramanujan's tau function
J. P. Serre, An interpretation of some congruences concerning Ramanujan's Tau function
N. J. A. Sloane, My favorite integer sequences, in Sequences and their Applications (Proceedings of SETA '98).
N. J. A. Sloane, My Favorite Integer Sequences
D. A. Steffen, Les Coefficients de Fourier de la forme modulaire: La fonction de Ramanujan tau(n)
William Stein, Database
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Index entries for "core" sequences
Index entries for expansions of Product_{k >= 1} (1-x^k)^m
B. Edixhoven et al., Computing the coefficients of a modular form
M. Z. Garaev, V. C. Garcia and S. V. Konyagin, Waring problem with the Ramanujan tau function
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