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

collaborators

Showing 2011 · math.NTShow all

4 papers · 2 filters

math.NT2011

The equation $∣ p^{x} \pm q^{y} ∣ = c$ in nonnegative $x$ , $y$

Reese Scott, Robert Styer

We improve earlier work on the title equation (where $p$ and $q$ are primes and $c$ is a positive integer) by allowing $x$ and $y$ to be zero as well as positive. Earlier work on t…

math.NT2011

Handling a large bound for a problem on the generalized Pillai equation $\pm r a^{x} \pm s b^{y} = c$

Reese Scott, Robert Styer

We consider $N$ , the number of solutions $(x, y, u, v)$ to the equation $(- 1)^{u} r a^{x} + (- 1)^{v} s b^{y} = c$ in nonnegative integers $x, y$ and integers $u, v \in {0, 1}$ , for given i…

math.NT2011

The generalized Pillai equation $\pm r a^{x} \pm s b^{y} = c$

Reese Scott, Robert Styer

In this paper we consider $N$ , the number of solutions $(x, y, u, v)$ to the equation $(- 1)^{u} r a^{x} + (- 1)^{v} s b^{y} = c$ in nonnegative integers $x, y$ and integers $u, v \in {0, 1}$ …

math.NT2011

The generalized Pillai equation $\pm r a^{x} \pm s b^{y} = c$ , II

Reese Scott, Robert Styer

We consider $N$ , the number of solutions $(x, y, u, v)$ to the equation $(- 1)^{u} r a^{x} + (- 1)^{v} s b^{y} = c$ in nonnegative integers $x, y$ and integers $u, v \in {0, 1}$ , for given i…

The equation ∣px±qy∣=c in nonnegative x, y

Handling a large bound for a problem on the generalized Pillai equation ±rax±sby=c

The generalized Pillai equation ±rax±sby=c

The generalized Pillai equation ±rax±sby=c, II

The equation $∣ p^{x} \pm q^{y} ∣ = c$ in nonnegative $x$ , $y$

Handling a large bound for a problem on the generalized Pillai equation $\pm r a^{x} \pm s b^{y} = c$

The generalized Pillai equation $\pm r a^{x} \pm s b^{y} = c$

The generalized Pillai equation $\pm r a^{x} \pm s b^{y} = c$ , II