000 01583cam a22002537i 4500
001 137172
003 ISI Library, Kolkata
005 20161104115246.0
008 160325s2015 enk b 001 0 eng d
020 _a9781107097605
040 _aISI Library
082 0 4 _a512.7
_223
_bEv93
100 1 _aEvertse, Jan-Hendrik,
_eauthor
245 1 0 _aUnit equations in Diophantine number theory /
_cJan-Hendrik Evertse and Kalman Gyory.
260 _aCambridge :
_bCambridge University Press,
_c2015.
300 _axv, 363 p. ;
_c24 cm.
490 0 _aCambridge studies in advanced mathematics ;
_v146.
504 _aIncludes bibliographical references and index.
505 0 _aPart I. Preliminaries. 1. Basic algebraic number theory -- 2. Algebraic function fields -- 3. Tools from Diophantine approximation and transcendence theory -- Part II. Unit equations and applications. 4. Effective results for unit equations in two unknowns over number fields -- 5. Algorithmic resolution of unit equations in two unknowns -- 6. Unit equations in several unknowns -- 7. Analogues over function fields -- 8. Effective results for unit equations over finitely generated domains -- 9. Decomposable form equations -- 10. Further applications.
520 _aA comprehensive, graduate-level treatment of unit equations and their various applications. The book is suitable for young researchers as well as experts who are looking for an up-to-date overview of the field.
650 0 _aDiophantine equations.
700 1 _aGyory, Kalman,
_eauthor
942 _2ddc
_cBK
999 _c421266
_d421266