Introduction to Number Theory in Mathematics Contests, Book 2

Andreescu, Titu/ Tetiva, Marian

XYZ Press（2024/03発売）

• 製本 Hardcover:ハードカバー版／ページ数 239 p.
• 言語 ENG
• 商品コード 9798989052868

Full Description

The second volume, Book 2, of Introduction to Number Theory in Mathematics Contests starts with focusing on the most important classical, basically polynomial congruences, and arithmetic functions. It features beautiful problems with unique and interesting results, such as the Erdos-GinzburgZiv theorem (stating that among any 2n - 1 integers one can find n whose sum is divisible by n), and also some other classical results arising from the Prime Number Theorem. The important (because of its many applications) "lifting the exponent" lemma is present in the book as well along with the beautiful theorem of Lucas about binomial coefficients modulo a prime, Lagrange's theorem on the number of solutions of a polynomial congruence modulo a prime, and Gauss's theorem about the existence/non-existence of primitive roots modulo an arbitrary positive integer.