The Scott-Styer conjecture on at most one solution to a^x + b^y = c^z is confirmed for c=7,13,97 and primes c of form 2^r*3+1 except finitely many effectively determinable cases.
Luca,On the diophantine equationp x1 −p x2 =q y1 −q y2, Indag
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Handling some Diophantine equation via Euclidean algorithm and its application to purely exponential equations
The Scott-Styer conjecture on at most one solution to a^x + b^y = c^z is confirmed for c=7,13,97 and primes c of form 2^r*3+1 except finitely many effectively determinable cases.