introduction to number theory-1 - maciej...
TRANSCRIPT
![Page 1: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/1.jpg)
Introduction to number theory-1
March 13, 2017
![Page 2: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/2.jpg)
March 13, 2017 2 / 37
![Page 3: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/3.jpg)
March 13, 2017 3 / 37
![Page 4: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/4.jpg)
March 13, 2017 4 / 37
![Page 5: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/5.jpg)
March 13, 2017 5 / 37
![Page 6: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/6.jpg)
March 13, 2017 6 / 37
![Page 7: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/7.jpg)
March 13, 2017 7 / 37
![Page 8: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/8.jpg)
March 13, 2017 8 / 37
![Page 9: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/9.jpg)
March 13, 2017 9 / 37
![Page 10: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/10.jpg)
March 13, 2017 10 / 37
![Page 11: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/11.jpg)
Notation and Conventions
March 13, 2017 11 / 37
![Page 12: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/12.jpg)
March 13, 2017 12 / 37
![Page 13: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/13.jpg)
March 13, 2017 13 / 37
![Page 14: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/14.jpg)
March 13, 2017 14 / 37
![Page 15: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/15.jpg)
March 13, 2017 15 / 37
![Page 16: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/16.jpg)
March 13, 2017 16 / 37
![Page 17: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/17.jpg)
March 13, 2017 17 / 37
![Page 18: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/18.jpg)
March 13, 2017 18 / 37
![Page 19: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/19.jpg)
March 13, 2017 19 / 37
![Page 20: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/20.jpg)
March 13, 2017 20 / 37
![Page 21: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/21.jpg)
March 13, 2017 21 / 37
![Page 22: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/22.jpg)
March 13, 2017 22 / 37
![Page 23: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/23.jpg)
March 13, 2017 23 / 37
![Page 24: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/24.jpg)
March 13, 2017 24 / 37
![Page 25: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/25.jpg)
March 13, 2017 25 / 37
![Page 26: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/26.jpg)
March 13, 2017 26 / 37
![Page 27: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/27.jpg)
March 13, 2017 27 / 37
![Page 28: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/28.jpg)
March 13, 2017 28 / 37
![Page 29: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/29.jpg)
March 13, 2017 29 / 37
![Page 30: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/30.jpg)
March 13, 2017 30 / 37
![Page 31: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/31.jpg)
March 13, 2017 31 / 37
![Page 32: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/32.jpg)
March 13, 2017 32 / 37
![Page 33: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/33.jpg)
March 13, 2017 33 / 37
![Page 34: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/34.jpg)
March 13, 2017 34 / 37
![Page 35: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/35.jpg)
March 13, 2017 35 / 37
![Page 36: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/36.jpg)
March 13, 2017 36 / 37
![Page 37: Introduction to number theory-1 - Maciej Zakarczemnymaciej.zakarczemny.pl/wp-content/uploads/2017/03/INT1.pdf · Introduction to Number Theory Institute of Mathematics, Faculty of](https://reader035.vdocument.in/reader035/viewer/2022081607/5ea1c17e68746932180fe0dd/html5/thumbnails/37.jpg)
March 13, 2017 37 / 37