Diophantine inequalities / R.C. Baker

• 1. Introduction -- 2. Fourier analysis -- 3. Heilbronn's theorem and Schmidt's extension -- 4. Vinogradov's mean value method -- 5. The solution of Davenport's problem -- 6. The method of sums of kth powers -- 7. Schmidt's lattice method -- 8. The lattice method for polynomials of arbitrary degree -- 9. Quadratic forms -- 10. Simultaneous approximation for quadratic forms and additive forms -- 11. Nonnegative solutions of additive equations -- 12. Small solutions of additive congruences -- 13. Small solutions of additive equations of odd degree -- 14. Diophantine inequalities for forms of odd degree -- 15. Exponential sums: forms of integer coefficients -- 16. The invariants of g and h -- 17. Exponential sums: polynomials on a finite group -- 18. Small solutions of congruences to general modulus. 

Ämnesord

Diophantine analysis  (LCSH)

Inequalities (Mathematics)  (LCSH)

Indexterm och SAB-rubrik

Tck Algebra Talteori

Klassifikation

511 (UDK)

512.74 (DDC)

Tck (kssb/6)

11D75 (msc)