[#P10420] Erdős Problem 524: Analysis exact value and asymptotic bounds
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Problem. For any $t\in (0,1)$ let $t=\sum_{k=1}^\infty \epsilon_k(t)2^{-k}$ (where $\epsilon_k(t)\in \{0,1\}$). What is the correct order of magnitude (for almost all $t\in(0,1)$) for $ M_n(t)=\max_{x\in [-1,1]}\left\lvert \sum_{k\leq n}(-1)^{\epsilon_k(t)}x^k\right\rvert? $.
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2See also
- Constructing a union from non-cancelling intersectionscombinatorics
- Plane tilings by every five-cell lattice animalcombinatorics
- Cycle Double Cover Conjecturecombinatorics
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“Erdős Problem 524: Analysis exact value and asymptotic bounds.” TheoremDB. P10420. Problem statement; statement identity tdbc1:f4a21adbde1ceed3ba1681c00fcc51593c4186c2a82ec5d0cb7c9f236e481af9; statement text SHA-256 526b5f921555fc36a2acb2dc7c5da8c0ae1f187c1f42cd0cca15614c4d1b293c. https://theoremdb.org/statement/?ref=P10420
@misc{theoremdb-problem-526b5f921555fc36a2acb2dc7c5da8c0ae1f187c1f42cd0cca15614c4d1b293c,
title = {{Erdős Problem 524: Analysis exact value and asymptotic bounds}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:f4a21adbde1ceed3ba1681c00fcc51593c4186c2a82ec5d0cb7c9f236e481af9; statement text SHA-256 526b5f921555fc36a2acb2dc7c5da8c0ae1f187c1f42cd0cca15614c4d1b293c},
url = {https://theoremdb.org/statement/?ref=P10420}
}Plain text: Built Markdown snapshot
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