Includes bibliographical references.

Rational curves with zero self intersection on certain surfaces ; Notes on Ramanujan's singular moduli ; The operator +(1/x)-2 and the reciprocal integers ; Integral points on cubic surfaces ; The last exhaustive computation of class groups of complex quadratic number fields ; Diophantine approximation in projective space ; Bounds for odd perfect numbers ; Automorphic functions in level aspect ; The number field sieve on many computers ; On the order of (mod ; A special case of Cohen-Lenstra heuristics in function fields ; An asymptotic expansion of Ramanujan ; Improving Ramachandra's and Levesque's unit index ; On the middle factor of the period polynomial for finite fields ; On the distribution of champs ; Sextic number fields with discriminant -1)^j2^a3^b ; Traces of singular moduli and the Fourier coefficients of the elliptic modular function (\tau ) ; Probleme d'Eisenstein pour le conducteur 3 ; Liens entre le theoreme de Mason et la conjecture abc) ; On the trace of Hecke operators for Maass forms ; An analysis of Shanks's algorithm for computing square roots in finite fields ; On the equation _1p_1 + a_2p_2 + a_3p_3 = b with prime variables in arithmetic progressions ; Solutions to ^2 - Dy^2 = Q ; Integers represented by ternary quadratic forms ; Some uniformity results following from the Lang conjectures ; Fourier coefficients of cusp forms ; Beer and continued fractions with periodic periods ; An inequality for polynomials ; Some integrals of theta functions in Ramanujan's lost notebook ; Arithmetic of a certain Calabi-Yau threefold ; Diophantine approximation in Euclidean spaces ; Transcendance et independance algebrique de valeurs de fonctions modulaires ; On the rank of ideal class groups ; Conference problems session conducted by J. L. Selfridge ; Homework!