'To sum up, the book is an outstanding motivation for and introduction to the study of analytical methods in arithmetic.'mededelingen van het wiskundig genootschap, no.8, - november 1993

• The polynomial Waring and Goldbach problems; Local singular series; Local Gauss sums and local derivatives; The adèle ring over k; L-functions of Dirichlet type; The polynomial 3-primes generating function; The polynomial 3-primes problem: an asymptotic solution; The polynomial Waring problem; Appendix: A complete solution to the 3-primes problem; Bibliography; Index.

'To sum up, the book is an outstanding motivation for and introduction to the study of analytical methods in arithmetic.'mededelingen van het wiskundig genootschap, no.8, - november 1993

• The polynomial Waring and Goldbach problems; Local singular series; Local Gauss sums and local derivatives; The adèle ring over k; L-functions of Dirichlet type; The polynomial 3-primes generating function; The polynomial 3-primes problem: an asymptotic solution; The polynomial Waring problem; Appendix: A complete solution to the 3-primes problem; Bibliography; Index.

'To sum up, the book is an outstanding motivation for and introduction to the study of analytical methods in arithmetic.'mededelingen van het wiskundig genootschap, no.8, - november 1993

• The polynomial Waring and Goldbach problems; Local singular series; Local Gauss sums and local derivatives; The adèle ring over k; L-functions of Dirichlet type; The polynomial 3-primes generating function; The polynomial 3-primes problem: an asymptotic solution; The polynomial Waring problem; Appendix: A complete solution to the 3-primes problem; Bibliography; Index.