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Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Bombay |
The Syllabus
- Factorization of numbers, primes
- GCD, Euclid’s algorithm, properties of primes
- Arithmetical functions, examples
- Dirichlet product, Möbius inversion
- Congruences, Chinese remainder theorem, primitive roots
- Quadratic reciprocity law, applications
- Binary quadratic forms, Gauss’ theory of reduced forms
- Sums of two squares, sums of four squares
- Diophantine approximation, theorems of Dirichlet and Liouville
- Continued fractions, quadratic irrationals
- Quadratic extensions of rationals, units in the rings of integers
- Diophantine equations with special reference to Brahmagupta-Pell equation
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