Please, What are the subjects in Math that are needed in a student in Level 3 Nuber Theory ?

Please, What are the subjects in Math that are needed in a student in Level 3 Nuber Theory ?

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The Subject within Maths required for number Theory : Number Theory – Shourya Pandey · 4 years, 4 months ago

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– Ahmed Taha · 4 years, 4 months ago

Yep but Number Theory has wide elements !Log in to reply

– Ahmed Taha · 4 years, 4 months ago

Sorry i shoud have said sub-subjects precislyLog in to reply

GCD, LCM, divisibility( You should be thorough with it)

Prime numbers( Their properties)

Modulo Arithmetic( Fermat's Theorem, Euler's Theorem, etc.)

Functions related to number Theory(Like the number of divisors, or the sum of the divisors of a number)

Primitive roots (Perhaps not needed for Level 3)

Quadratic Reciprocity (Only the basics)

Expressing integers as sums of squares, cubes, etc.

Sequences and series (Includes Fibonacci series, recurrence relations, etc.)

Integer solutions to equations, Polynomial with Integral coefficients( I am not really sure whether this is algebra or number theory).

Mathematical Induction, Well Ordering Principle, Pigeonhole Principle( Though this is combinatorics, it might come in handy)

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Maths – Shiwang Srivastava · 3 years, 2 months ago

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