000			01716nam a22002537a 4500
003			OSt
005			20241004124256.0
008			190319b ||||| |||| 00| 0 eng d
020			_a9783540203643
040			_cTata Book House _aICTS-TIFR
050			_aQA241
100			_aYuri Ivanovic Manin
245			_aIntroduction to modern number theory _b: fundamental problems, ideas and theories
250			_a2nd Ed.
260			_aNew York: _bSpringer- Verlag, _c[c2007]
300			_a514 p
490			_a Encyclopaedia of Mathematical Sciences _vVol. 49
505			_aPart -I Problems and Tricks 1. Elementary Number Theory 2. Some Applications of Elementary Number Theory Part - II Ideas and Theories 3. Induction and Recursion 4. Arithmetic of algebraic numbers 5. Arithmetic of algebraic varieties 6. Zeta Functions and Modular Forms 7. Fermat’s Last Theorem and Families of Modular Forms Part - III Analogies and Visions 8. Introductory survey to part III: motivations and description 9. Arakelov Geometry and Noncommutative Geometry (d’après C. Consani and M. Marcolli, [CM])
520			_a"Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. --- summary provided by publisher
650			_aArithmetic
700			_aAlexei A. Panchishkin
856			_uhttps://link.springer.com/book/10.1007/3-540-27692-0
942			_2lcc _cBK
999			_c2488 _d2488