Hardcover ISBN:  9798989052868 
Product Code:  XYZ/53 
List Price:  $59.95 
AMS Member Price:  $47.96 
Hardcover ISBN:  9798989052868 
Product Code:  XYZ/53 
List Price:  $59.95 
AMS Member Price:  $47.96 

Book DetailsXYZ SeriesVolume: 53; 2024; 239 ppMSC: Primary 00; 97
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 ErdösGinzburgZiv 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/nonexistence of primitive roots modulo an arbitrary positive integer.
A publication of XYZ Press. Distributed in North America by the American Mathematical Society.
ReadershipThis book is a great resource for those who have basic mathematics knowledge, especially in Algebra, and want to learn more about fundamental concepts in Number Theory. Students wishing to participate in math competitions, as well as those looking to learn more about the beauty of mathematics, will benefit the most by having this book on their shelves.

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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 ErdösGinzburgZiv 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/nonexistence of primitive roots modulo an arbitrary positive integer.
A publication of XYZ Press. Distributed in North America by the American Mathematical Society.
This book is a great resource for those who have basic mathematics knowledge, especially in Algebra, and want to learn more about fundamental concepts in Number Theory. Students wishing to participate in math competitions, as well as those looking to learn more about the beauty of mathematics, will benefit the most by having this book on their shelves.