Page Correction 108 Line -10: Change "Is" to "It". 119 In (4.4) the last factor on the right side should be squared. 135 The proof of Lemma 4.3 is due to Heilbronn. 154 Line -2: Change "an integer" to "a square integer". (The discriminant is always an integer.) 187 n must be square-free (as well as odd) in formulas (6.11), (6.12) and (6.13). The symbol (n/m) in these formulas is the Jacobi symbol, which equals 0 when m is even. 200 In the last integral in (ii) the exponent on e should be 2 \pi i n (y^2 + (2h - 1)y) . (The last ")" was missing.) 253 In the table in the middle of the page, the last two values of M should be 15 and 18, rather than 14 and 17. After 18 the values of M continue with 22, 27, 32, 38, 46, 54, 64... 256 The formula for the Jacobi triple product identity is wrong. It is correct on Page 119. Insert a factor of 4 before sin u in the next displayed formula. Delete the factor sin nu / sin u from the numerator of the complicated quotient two formulas later, but leave it in the denominator. 259-260 We should have said that the formulas in Exercises 7 and 8 are due to J A Ewell.