Table of contents for 104 number theory problems : from the training of the USA IMO team / Titu Andreescu, Dorin Andrica, Zuming Feng.


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SFoundations of Numober Theory                                   1
Div isibiility
Division Algoiithm                                              4
Poimes                                                          5
The Fundamental Theoirem of rithmetic                           7
GC.D                                                           11
Ecidean Algorith                                               12
BeZouits dentity                                               13
The Nunter of Divisors                                         17
TI he Sumi of Diviors                                          18
Modular Arithmetics                                            19
Residue Clas     ins   I2
Feirrimat's ,itte Theorem and Euler's Theorem                   7
Euier's otient Function                                        33
Multipiicative Funiction                                       36
ILinear Diophantine Ejquations                                 38
Nunmerical Svstems                                             40
Divisibility Critela in the Decimal System                     46
Floor Funcition                                                52
Legendres Firunction                                           65
Fermat Numbers                                                 70
Mersenne Numbiers                                              7
Perect Numbers                                                 72
SInt lroductor Problems                                        75
3A  Advaned Problems                                              83
4  Solftions to Intioductory Pobkems                              91
SSolunions to Advanc ed Problems                                 131



Library of Congress subject headings for this publication: Number theory Problems, exercises, etc