List questions from diophantine-approximation

Published on 15 Dec 2019 - 2:59

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In Search Of Elementary Proof Of Kobayashi's Theorem

Published on 23 Mar 2026 - 3:34

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Bounding the norm of algebraic number of given degree and height

Published on 16 Dec 2019 - 21:18

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Units in Cube Root System

Published on 18 Dec 2019 - 21:16

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Rational solutions of the system $ p^2-2 q^2 + r^2 =12, 2p^2 - 3 q^2 + s^2=42$?

Published on 19 Dec 2019 - 22:20

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Rational solutions of quadratic Diophantine equation $ax^2+by^2+cz^2+du^2=v^2$?

Published on 21 Dec 2019 - 19:42

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Positive definite binary form of degree $\geq 3$, where $F(x,y)=m$ has finitely many solutions in $x,y\in\mathbb{Z}$

Published on 29 Dec 2019 - 10:36

56

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proving $\big \lfloor xn-\frac 1n \big\rfloor\neq \big\lfloor xn+\frac 1n\big\rfloor$

Published on 01 Jan 2020 - 17:04

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Equivalent to Roth's theorem

Published on 04 Jan 2020 - 20:06

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Binary recurrence sequence in $\mathbb{Z}$

Published on 05 Jan 2020 - 21:59

92

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Roth's theorem for $m$ algebraic numbers

Published on 06 Jan 2020 - 15:24

128

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Bounding the height of an algebraic number in terms of height of the free coefficient in its minimal polynomial.

Published on 08 Jan 2020 - 21:50

79

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Comparison between height of polynomial and height of coefficients of polynomial

Published on 13 Jan 2020 - 14:11

23

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Is this $2^{\lceil\log_2 d\rceil}$ inequality true?

Published on 22 Jan 2020 - 9:23

47

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Bad approximation by fractions with quadratic denominators

Published on 23 Jan 2020 - 9:28

List Question

Numbers with "known" continued fractions

In Search Of Elementary Proof Of Kobayashi's Theorem

Bounding the norm of algebraic number of given degree and height

Units in Cube Root System

Rational solutions of the system $ p^2-2 q^2 + r^2 =12, 2p^2 - 3 q^2 + s^2=42$?

Rational solutions of quadratic Diophantine equation $ax^2+by^2+cz^2+du^2=v^2$?

Positive definite binary form of degree $\geq 3$, where $F(x,y)=m$ has finitely many solutions in $x,y\in\mathbb{Z}$

proving $\big \lfloor xn-\frac 1n \big\rfloor\neq \big\lfloor xn+\frac 1n\big\rfloor$

Equivalent to Roth's theorem

Binary recurrence sequence in $\mathbb{Z}$

Roth's theorem for $m$ algebraic numbers

Bounding the height of an algebraic number in terms of height of the free coefficient in its minimal polynomial.

Comparison between height of polynomial and height of coefficients of polynomial

Is this $2^{\lceil\log_2 d\rceil}$ inequality true?

Bad approximation by fractions with quadratic denominators

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