R. Styer

activity

20112024

most citedA Survey on the Ternary Purely Exponential Diophantine Equation

a^{x} + b^{y} = c^{z}

8 citations · 8 across the 10 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.NT2022

On a conjecture concerning the number of solutions to $a^{x} + b^{y} = c^{z}$ , II

Maohua Le, Reese Scott, Robert Styer

Let $a$ , $b$ , $c$ be distinct primes with $a < b$ . Let $S (a, b, c)$ denote the number of positive integer solutions $(x, y, z)$ of the equation $a^{x} + b^{y} = c^{z}$ . In a previous paper \ci…

math.NT2022

On a conjecture concerning the number of solutions to $a^{x} + b^{y} = c^{z}$

Maohua Le, Reese Scott, Robert Styer

Let $a$ , $b$ , $c$ be fixed coprime positive integers with $min {a, b, c} > 1$ . Let $N (a, b, c)$ denote the number of positive integer solutions $(x, y, z)$ of the equation $a^x + b^y…

math.NT2022

Number of solutions to $a^{x} + b^{y} = c^{z}$ , A Shorter Version

Reese Scott, Robert Styer

For relatively prime integers $a$ and $b$ both greater than one and odd integer $c$ , there are at most two solutions in positive integers $(x, y, z)$ to the equation $a^x + b^y = c^z…

On a conjecture concerning the number of solutions to ax+by=cz, II

On a conjecture concerning the number of solutions to ax+by=cz

Number of solutions to ax+by=cz, A Shorter Version

On a conjecture concerning the number of solutions to $a^{x} + b^{y} = c^{z}$ , II

On a conjecture concerning the number of solutions to $a^{x} + b^{y} = c^{z}$

Number of solutions to $a^{x} + b^{y} = c^{z}$ , A Shorter Version