Concept
Number theory
Related lectures (71)
Number Theory: Congruence
Covers congruence modulo m and arithmetic operations.
Abel Summation and Prime Number Theory
Introduces the Abel summation formula and its application in establishing various equivalent formulations of the Prime Number Theory.
Number Theory: Division
Explores the concept of division in number theory, including properties, algorithms, and examples.
Number Theory: Congruence
Explains congruence modulo m and its applications in arithmetic operations.
Local Zeta Functions
Covers the classification of comport p-adic fields using integration and Igusa's local zeta functions.
Hadamard Factorization and Zeros of Zeta
Completes the proof of Hadamard Factorization and uses it to derive an expression for the zeta function in terms of its zeros.
Elliptic Curves: Theory and Applications
Covers the theory and applications of elliptic curves in cryptography and number theory.
Mechanics Problem Resolution: Rocket & Gas System
Covers the resolution of mechanics problems, focusing on a rocket and gas system.
Finite Abelian Groups: Classification Theorem
Presents the classification of finite abelian groups as products of cyclic groups, a fundamental result in various branches of mathematics.
Number Theory: Quiz
Covers fundamental concepts in number theory with examples and quizzes.