Index Abel, N. H., 132 addition theorem, 131 Adiga, C , 23, 79, 83 Ahlgren, S., 44, 50, 51 Almkvist, G., 130 Andrews, G. E., 22-24, 32, 79, 82, 106, 108, 151, 168 Apostol, T. M., 105 Askey, R. A., 25, 83 Atkin, A. O. L., 28, 51 Bailey, W. N., 81 Barrucand, P., 81 basic hypergeometric series, 24, 82 Bernoulli numbers, 85 Bhargava, S., 23, 25, 79, 83, 129 Bialek, P., 106 bilateral summation, 15 Bouniakowsky, V. Y., 82 Bowman, D., 156 BoyIan, M., 50 Carlitz, L., 25, 81 Carr, G. S., xi Cauchy, A., 23, 82 Cayley, A., 150 Chan, H. H., 84, 107, 108, 128, 157 Chan, O.-Y., 169 Chan, S. H., 24, 50, 63, 80, 108 Chazy, J., 106 Chowla, S., 28 Chua, K. S., 84 circle method, xiii, 22 class invariants, 157 complete elliptic integral of the first kind, 110, 140 complete elliptic integral of the second kind, 111 continued fraction, 153 Cooper, S., 25, 80-82, 108 Crutcher, P., 169 Deligne, P., 53 Dirichlet, P. G. L., 83 dissections, 161 Dobbie, J. M., 81 Drost, J., 49 Duke, W., 169 duplication formula, 131 Eichhorn, D., 44 Eisenstein series, 80, 85-108 catalogue of formulas, 122 definition, 87 differential equations, 92, 98 formulas for coefficients, 105 Eisenstein, G., 82, 105 Ekhad, S. B., 79 Eriksson, K., 22 Euler's identity, 4, 58, 66 Euler's partition theorem, 4 Euler's pentagonal number theorem, 12 combinatorial version, 13 Euler, L., 23 Evans, R. J., 25 Fabrykowski, J., 43 Fermat's little theorem, 103, 104 Fibonacci numbers, 165, 166 Fine, N. J., 25, 81 Fitzroy House, 50, 83 formal power series, 45 Franklin, F., 23 185
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