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- 2010030399 contributor B11773045.
- 2010030399 created "2010.".
- 2010030399 date "2010".
- 2010030399 date "2010.".
- 2010030399 dateCopyrighted "2010.".
- 2010030399 description "Includes bibliographical references and index.".
- 2010030399 description "Machine generated contents note: Preface; 1. Joseph Liouville (1809-1888); 2. Liouville's ideas in number theory; 3. The arithmetic functions [sigma]k(n), [sigma]k*(n), dk,m(n) and Fk(n); 4. The equation i2 + jk = n; 5. An identity of Liouville; 6. A recurrence relation for [sigma]*(n); 7. The Girard-Fermat theorem; 8. A second identity of Liouville; 9. Sums of two, four and six squares; 10. A third identity of Liouville; 11. Jacobi's four squares formula; 12. Besge's formula; 13. An identity of Huard, Ou, Spearman and Williams; 14. Four elementary arithmetic formulae; 15. Some twisted convolution sums; 16. Sums of two, four, six and eight triangular numbers; 17. Sums of integers of the form x2+xy+y2; 18. Representations by x2+y2+z2+2t2, x2+y2+2z2+2t2 and x2+2y2+2z2+2t2; 19. Sums of eight and twelve squares; 20. Concluding remarks; References; Index.".
- 2010030399 extent "xvii, 287 p. ;".
- 2010030399 identifier "9781107002531 (hardback)".
- 2010030399 isPartOf "London Mathematical Society student texts ; 76".
- 2010030399 issued "2010".
- 2010030399 issued "2010.".
- 2010030399 language "eng".
- 2010030399 publisher "Cambridge ; New York : Cambridge University Press,".
- 2010030399 subject "512.7/2 22".
- 2010030399 subject "Liouville, Joseph, 1809-1882.".
- 2010030399 subject "Number theory.".
- 2010030399 subject "QA241 .W625 2010".
- 2010030399 tableOfContents "Machine generated contents note: Preface; 1. Joseph Liouville (1809-1888); 2. Liouville's ideas in number theory; 3. The arithmetic functions [sigma]k(n), [sigma]k*(n), dk,m(n) and Fk(n); 4. The equation i2 + jk = n; 5. An identity of Liouville; 6. A recurrence relation for [sigma]*(n); 7. The Girard-Fermat theorem; 8. A second identity of Liouville; 9. Sums of two, four and six squares; 10. A third identity of Liouville; 11. Jacobi's four squares formula; 12. Besge's formula; 13. An identity of Huard, Ou, Spearman and Williams; 14. Four elementary arithmetic formulae; 15. Some twisted convolution sums; 16. Sums of two, four, six and eight triangular numbers; 17. Sums of integers of the form x2+xy+y2; 18. Representations by x2+y2+z2+2t2, x2+y2+2z2+2t2 and x2+2y2+2z2+2t2; 19. Sums of eight and twelve squares; 20. Concluding remarks; References; Index.".
- 2010030399 title "Number theory in the spirit of Liouville / Kenneth S. Williams.".
- 2010030399 type "text".