| Diophantine Approximation: Festschrift for Wolfgang Schmidt 2008 Edition Contributor(s): Tichy, Robert F. (Editor), Schlickewei, Hans Peter (Editor), Schmidt, Klaus (Editor) |
|
 |
ISBN: 3211742794 ISBN-13: 9783211742792 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Language: French Published: July 2008 Annotation: This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation. This includes contributions to Wolfgang Schmidt's subspace theorem and its applications to diophantine equations and to the study of linear recurring sequences. The articles are either in the spirit of more classical diophantine analysis or of geometric or combinatorial flavour. Several articles deal with estimates for the number of solutions of diophantine equations as well as with congruences and polynomials. Furthermore, the volume contains transcendence results for special functions and contributions to metric diophantine approximation and discrepancy theory. The articles are based on lectures given at a conference at the Erwin Schr?dinger-Institute (Vienna, 2003), where many leading experts in the field of diophantine approximation participated. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General - Mathematics | Number Systems - Mathematics | Number Theory |
| Dewey: 512 |
| LCCN: 2008930106 |
| Series: Developments in Mathematics |
| Physical Information: 1" H x 6.1" W x 9.4" (1.85 lbs) 422 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This volume contains 22 research and survey papers on recent developments in the field of diophantine approximation. The first article by Hans Peter Schlickewei is devoted to the scientific work of Wolfgang Schmidt. Further contributions deal with the subspace theorem and its applications to diophantine equations and to the study of linear recurring sequences. The articles are either in the spirit of more classical diophantine analysis or of geometric or combinatorial flavor. In particular, estimates for the number of solutions of diophantine equations as well as results concerning congruences and polynomials are established. Furthermore, the volume contains transcendence results for special functions and contributions to metric diophantine approximation and to discrepancy theory. The articles are based on lectures given at a conference at the Erwin Schr6dinger Institute in Vienna in 2003, in which many leading experts in the field of diophantine approximation participated. The editors are very grateful to the Erwin Schr6dinger Institute and to the FWF (Austrian Science Fund) for the financial support and they express their particular thanks to Springer-Verlag for the excellent cooperation. Robert E Tichy Diophantine Approximation H. E Schlickewei et al., Editors 9 Springer-Verlag 2008 THE MATHEMATICAL WORK OF WOLFGANG SCHMIDT Hans Peter Schlickewei Mathematik Informatik, und Philipps-Universitiit Hans-Meerwein-Strasse, Marburg, 35032 Marburg, Germany k. Introduction Wolfgang Schmidt's mathematical activities started more than fifty years ago in 1955. In the meantime he has written more than 180 papers - many of them containing spectacular results and breakthroughs in different areas of number theory. |