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First Course in Theory of Numbers
1. NUMBER SYSTEM......Page 12 2. CONGRUENCES AND ITS BASIC PROPERTIES......Page 60 3. ALGEBRAIC CONGRUENCES AND PRIMITIVE ROOTS......Page 109 4. ARITHMETIC FUNCTIONS......Page 140 5. FAREY SEQUENCES, CONTINUED FRACTION, PELL'S EQUATIONS......Page 179 6. QUADRATIC RESIDUES, LEGENDER'S SYMBOLS, JACOBI'S SYMBOLSr......Page 229 7. HOMOGENEOUS QUADRATIC DIOPHANTINE EQUATION......Page 258 8. SOME NUMBER THEORETIC PROBLEMS RELATED TO MATHEMATICS OLYMPIADS ......Page 279