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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

6 votes
1 answer
399 views

The distribution of fractional parts $\Big\{ \frac{N}{n} \Big\}$

Let $N$ be a large integer. What is known about distribution of fractional parts $\Big\{ \frac{N}{n} \Big\} \in [0,1)$ after division of $N$ by all odd numbers $n$ in the range $3 \leq n < \sqrt{N}$? …
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  • 61
0 votes
1 answer
121 views

distribution of remainders after division of odd numbers by odd numbers [duplicate]

Let N is a large odd number. What is known regarding distribution of remainders after division of N by 3,5,...,fix(sqrt(N))? Are they distributed mode or less uniformly?
Alex's user avatar
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