matheu - Matematica e Informatica
... consider the difference of these 2 numbers. Problem 13. Given the integers 1, 2, ..., 200 and 101 of them are chosen. Prove that there exist 2 integers among the chosen ones such that the one of them divides the other. Solution: If a is odd and less than 200, denote the set {a, 2a, 4a, 8a, 16a, 32a, ...
... consider the difference of these 2 numbers. Problem 13. Given the integers 1, 2, ..., 200 and 101 of them are chosen. Prove that there exist 2 integers among the chosen ones such that the one of them divides the other. Solution: If a is odd and less than 200, denote the set {a, 2a, 4a, 8a, 16a, 32a, ...
Modular Functions and Modular Forms
... It is easy to define modular functions and forms, but less easy to say why they are important, especially to number theorists. Thus I will begin with a rather long overview of the subject. Riemann surfaces. Let X be a connected Hausdorff topological space. A coordinate neighbourhood of P ∈ X is a pair ...
... It is easy to define modular functions and forms, but less easy to say why they are important, especially to number theorists. Thus I will begin with a rather long overview of the subject. Riemann surfaces. Let X be a connected Hausdorff topological space. A coordinate neighbourhood of P ∈ X is a pair ...
