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15
442
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Line and distance to lattice points?

Published on
#geometry #integer-lattices #diophantine-approximation
382
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Approximate irrational numbers with the same denominator

Published on
#number-theory #continued-fractions #diophantine-approximation
335
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Diophantine approximation with additional constraints

Published on
#numerical-methods #approximation #diophantine-approximation
141
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How to apply diophantine approximation in the form of Pell's equation?

Published on
#number-theory #elementary-number-theory #diophantine-approximation
219
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Left most Digits of $5^n$

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#number-theory #exponentiation #decimal-expansion #diophantine-approximation
43
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Diophantine Approximation as the Denominator Becomes Large

Published on
#number-theory #analytic-number-theory #diophantine-approximation
216
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Can every algebraic integer of degree $3$ be approximated by a quotient of linearly recurrent integer sequences of degree $3$?

Published on
#sequences-and-series #number-theory #diophantine-approximation
396
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Successive minima

Published on
#number-theory #integer-lattices #diophantine-approximation
508
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Does every $4$-dimensional lattice have a minimal system that's also a lattice basis?

Published on
#linear-algebra #integer-lattices #diophantine-approximation
40
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Approximating real numbers with rationals up to a constant of the real number.

Published on
#number-theory #diophantine-approximation
197
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Is it true that $\lceil (3/2)^n \rceil - (3/2)^n > (3/4)^n$ for all $n>1$?

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#number-theory #diophantine-approximation
30
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Applications of diophantine approximation in counting (combinatorics).

Published on
#combinatorics #big-list #diophantine-approximation
162
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An unclear connection between two (supposedly) equivalent formulations of Liouville's approximation theorem

Published on
#elementary-number-theory #transcendental-numbers #diophantine-approximation #liouville-numbers
86
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Rational solutions of Diophantine equation $8kx+x^4=y^2$?

Published on
#number-theory #diophantine-equations #diophantine-approximation
271
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If $m$ and $n$ are integers, show that $\left|\sqrt{3}-\frac{m}{n}\right| \ge \frac{1}{5n^{2}}$

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#number-theory #diophantine-approximation

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