Number Theory

On the number of genera of positive-definite integral ternary quadratic forms by A. Arenas Improved approximations for Euler products by E. Bach On exponential sums with multiplicative coefficients by G. Bachman Rational points on toric varieties by V. V. Batyrev and Yu. Tschinkel The number of solutions of the Thue inequality by M. A. Bean Simultaneous approximation to pairs of algebraic numbers by M. A. Bennett Five formulas of Ramanujan arising from Eisenstein series by B. C. Berndt and P. Bialek On sums of three cubes by A. Bremner Construction of polynomials with some Frobenius groups as Galois groups by L. Cangelmi Minimality bounds for traces of Markoff matrices by H. Cohn Factors of odd perfect numbers by R. Cook On Wilf's conjecture and generalizations by T. Dokshitzer An application of character sum inequalities to quadratic forms by A. G. Earnest Special values of derivatives of $L$-functions by D. Goldfeld On the orders of the Brauer groups of some weighted diagonal surfaces by Y. Goto Diophantine approximation in terms of linear recurrent sequences by P. J. Grabner, P. Kiss, and R. F. Tichy On the number of solutions to the generalized Fermat equation by A. Granville Periodicity of Kummer congruences by H. S. Gunaratne On higher-order pseudoprimes of Lehmer type by S. Gurak Unites de corps de nombres et courbes de genre un et deux by O. Lecacheux A new criterion for the determination of class numbers of real quadratic fields by R. A. Mollin and L. C. Zhang Bounded and finite generation of arithmetic groups by V. K. Murty The analytic rank of $J_0(N)(/mathbf Q)$ by M. R. Murty Fermat's last theorem, before June 23, 1993 by P. Ribenboim Which primes are sums of two cubes? by F. R. Villegas and D. Zagier Average value of class numbers in cyclic extensions of the rational function field by M. Rosen An intersection pairing for curves, with analytic contributions from nonarchimedean places by R. Rumely Questions arithmetiques liees au theoreme de Poncelet by Ph. Satge Thue equations and elliptic curves by C. L. Stewart Explicit Siegel theory for quadratic forms by L. H. Walling Siegel zeros for $2$-adic $L$-functions by L. C. Washington A polynomial-time algorithm for the Artin-Whaples approximation theorem by J. Watrous Some refinements of an algorithm of Brillhart by K. S. Williams On the algebraic construction of tri-diagonal matrices with given characteristic polynomial by C. J. Williamson.