Number Theory

Rational curves with zero self intersection on certain $K$3 surfaces by A. Baragar Notes on Ramanujan's singular moduli by B. C. Berndt and H. H. Chan The operator $x +(1/x)-2$ and the reciprocal integers by M.-J. Bertin Integral points on cubic surfaces by F. Beukers The last exhaustive computation of class groups of complex quadratic number fields by D. A. Buell Diophantine approximation in projective space by K.-K. Choi and J. D. Vaaler Bounds for odd perfect numbers by R. J. Cook Automorphic $L$-functions in level aspect by W. Duke The number field sieve on many computers by R.-M. Elkenbracht-Huizing, P. L. Montgomery, R. D. Silverman, R. K. Wackerbarth, and S. S. Wagstaff, Jr. On the order of $a$ (mod $p$) by P. Erdos and M. R. Murty A special case of Cohen-Lenstra heuristics in function fields by C. Friesen An asymptotic expansion of Ramanujan by W. F. Galway Improving Ramachandra's and Levesque's unit index by C. Greither On the middle factor of the period polynomial for finite fields by S. Gurak On the distribution of champs by A. Ivic and C. Pomerance Sextic number fields with discriminant $(-1)^j2^a3^b$ by J. W. Jones and D. P. Roberts Traces of singular moduli and the Fourier coefficients of the elliptic modular function $j(/tau)$ by M. Kaneko Probleme d'Eisenstein pour le conducteur 3 by P. Kaplan Liens entre le theoreme de Mason et la conjecture $(abc)$ by M. Langevin On the trace of Hecke operators for Maass forms by X.-J. Li An analysis of Shanks's algorithm for computing square roots in finite fields by S. Lindhurst On the equation $a_1p_1 + a_2p_2 + a_3p_3 = b$ with prime variables in arithmetic progressions by M.-C. Liu and T. Wang Solutions to $x^2 - Dy^2 = Q$ by S. Louboutin and R. A. Mollin Integers represented by ternary quadratic forms by K. Ono and K. Soundararajan Some uniformity results following from the Lang conjectures by P. L. Pacelli Fourier coefficients of cusp forms by Y. N. Petridis Beer and continued fractions with periodic periods by A. J. van der Poorten An inequality for polynomials by C. J. Smyth Some integrals of theta functions in Ramanujan's lost notebook by S. H. Son Arithmetic of a certain Calabi-Yau threefold by H. A. Verrill Diophantine approximation in Euclidean spaces by L. Ya. Vulakh Transcendance et independance algebrique de valeurs de fonctions modulaires by M. Waldschmidt On the rank of ideal class groups by S. Wong Conference problems session conducted by J. L. Selfridge by R. K. Guy Homework! by P. Ribenboim.