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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