| H. Iwaniec | On the error term in the linear sieve | 1-30 |
| M. Waterman | A Kuzmin theorem for a class of number theoretic endomorphisms | 31-41 |
| G. Rauzy | Normalité de Q* | 43-47 |
| K. Ramachandra | A note on numbers with a large prime factor III | 49-62 |
| T. Šalát | Quotientbasen und (R)-dichte Mengen | 63-78 |
| M. Fried | On the Diophantine equation f(y) - x = 0 | 79-87 |
| Y. Pourchet | Sur la représentation en somme de carrés des polynômes à une indéterminée sur un corps de nombres algébriques | 89-104 |
| . | ERRATA. Acta Arithmetica XIX (1971) | 104-104 |
| . | ERRATA. Acta Arithmetica XIX (1971) |
| H. Delange | Sur des formules de Atle Selberg | 105-146 |
| M. Dodson | On Waring's Problem in GF[p] | 147-173 |
| R. Hall | On the probability that n and f (n) are relatively prime II | 175-184 |
| В. Демьяненко | О точках конечного порядка эллиптических кривых | 185-194 |
A. Schinzel
J. Wójcik | A note on the paper "Reducibility of lacunary polynomials I" | 195-201 |
| R. Hall | Corrigendum to the paper "On the probability that n and f(n) are relatively prime" | 203-204 |
| . | ERRATA. Acta Arithmetica XIX (1971) |
| J. Perkins | Gauss sums and the matrix equation XX^T = 0 over fields of characteristic two | 205-214 |
| C. Parry | On a problem of Schinzel concerning principal divisors in arithmetic progressions | 215-222 |
| J. Pitman | Bounds for solutions of diagonal equations | 223-247 |
| K. Wiertelak | On the application of Turán's method to the theory of Dirichlet L-functions | 249-259 |
| F. Dress | Stathmes euclidiens et séries formelles | 261-265 |
| Г. Ломадзе | О представлении чисел положительными тернарными диагональными квадратичными формами, I | 267-305 |
| D. Lubell | On a density problem of Erdös | 307-309 |
| R. Damerell | L-functions of elliptic curves with complex multiplication, II | 311-317 |
| C. Maccluer | Non-principal divisors among the values of polynomials | 319-320 |
| J. Hunsucker | Primitive representation of a binary quadratic form as a sum of four squares | 321-325 |
| D. Wolke | Polynomial values with small prime divisors | 327-333 |
| J. Galambos | On the speed of convergence of the Oppenheim series | 335-342 |
| C. Osgood | On the simultaneous diophantine approximation of values of certain algebraic functions | 343-386 |
| Г. Ломадзе | О представлении чисел положительными тернарными диагональными квадратичными формами, II | 387-407 |
| C. Parry | Algebraic number fields with the principal ideal condition | 409-413 |
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