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Results tagged with nt.number-theory
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user 178016
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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Solution distribution in a quadratic congruence
Fix a modulus $M$. For varying $m$, consider the (possibly empty) set $R_{m,M}$ of roots of $x^2\equiv m^2+2 \pmod{M}$.
Are there good known bounds on
$$\sum_{m\le M^{1/100}}\sum_{r\in R_{m,M}}\min(M^ …
- 21