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Relate to Dirichlet's theorem Diophantine approximation

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#number-theory #diophantine-approximation
161
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Is $3^{\log_{10}(3)}$ irrational?

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#number-theory #irrational-numbers #diophantine-approximation
138
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Convert binary representation with digits $\{0,1\}$ into $\{-1,0,1\}$ (targetting best partial approximations)?

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#number-theory #elementary-number-theory #diophantine-approximation
276
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Gap between smooth integers tends to infinity (Stoermer-type result)?

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#number-theory #diophantine-equations #diophantine-approximation
557
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Existence of a simultaneous rational approximation of real numbers in (0,1)

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#real-analysis #number-theory #approximation #fractions #diophantine-approximation
54
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approximate a vector of complex numbers

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#complex-numbers #diophantine-approximation
33
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Equate reals by multiplication for arbitrarily large integers

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#number-theory #diophantine-approximation
98
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Rational Approximation

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#number-theory #diophantine-approximation
393
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Alternative proof of Liouville's approximation theorem

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#number-theory #diophantine-approximation
453
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Minkowski's theorem for non-symmetric convex bodies

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#number-theory #algebraic-number-theory #diophantine-approximation
101
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Approximation of reals by rationals

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#number-theory #elementary-number-theory #approximation #real-numbers #diophantine-approximation
166
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Rational approximation bound for real numbers in (0,1)

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#real-analysis #number-theory #rational-numbers #diophantine-approximation
2.5k
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Does the sequence $\{\sin^n(n)\}$ converge?

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#real-analysis #sequences-and-series #convergence-divergence #diophantine-approximation
9.9k
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$\pi^4 + \pi^5 \approx e^6$ is anything special going on here?

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#exponential-function #approximation #pi #constants #diophantine-approximation
127
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A generalisation of Roth's result on Diophantine approximation?

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#number-theory #diophantine-approximation

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