Copertina

At most one solution to $a^x + b^y = c^z$ for some ranges of $a$, $b$, $c$

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autore principale:	Styer, Robert
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Number Theory 11D61
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Number of solutions to $a^x+b^y=c^z$ with $\gcd(a,b)>1$
di: Scott, Reese, et al.
Pubblicazione: (2024)

Handling some Diophantine equation via Euclidean algorithm and its application to purely exponential equations
di: Miyazaki, Takafumi, et al.
Pubblicazione: (2026)

The diophantine equation $(2^{k}-1)(b^{k}-1)=y^{q}$
di: Liu, Chang, et al.
Pubblicazione: (2025)

Number of solutions to a special type of unit equations in two unknowns, III
di: Miyazaki, Takafumi, et al.
Pubblicazione: (2024)

Number of solutions to a special type of unit equations in two unknowns, II
di: Miyazaki, Takafumi, et al.
Pubblicazione: (2022)

On Diophantine equations involving intersection of Thabit and Williams numbers base $b$ and some ternary recurrent sequences
di: Tripathy, Bibhu Prasad, et al.
Pubblicazione: (2025)

Solution of the Diophantine equation $x^2 + p^k=y^n$
di: Ghosh, Arkabrata
Pubblicazione: (2024)

General sharp bounds for the number of solutions to purely exponential equations with three terms
di: Le, Maohua, et al.
Pubblicazione: (2024)

Thabit and Williams Numbers Base $b$ as a Sum or Difference of Two $g$-Repdigits
di: Adédji, Kouèssi Norbert, et al.
Pubblicazione: (2025)

On mixed $b$-concatenations of Fibonacci and Lucas numbers that are Lucas numbers
di: Batte, Herbert, et al.
Pubblicazione: (2026)

Complete solutions of a Lebesgue-Ramanujan-Nagell type equation
di: Baruah, Priyanka, et al.
Pubblicazione: (2021)

An Exponential Diophantine equation $x^2+3^α 113^β=y^{\mathfrak{n}}$
di: Muthuvel, S., et al.
Pubblicazione: (2024)

On the distance between factorials and repunits
di: Filaseta, Michael, et al.
Pubblicazione: (2024)

Solving an infinite number of purely exponential Diophantine equations with four terms
di: Miyazaki, Takafumi
Pubblicazione: (2025)

Purely exponential Diophantine equations with four terms of consecutive bases: contribution to Skolem's conjecture
di: Le, Maohua, et al.
Pubblicazione: (2025)

Arithmetic progressions in sumsets of geometric progressions
di: Bennett, Michael A.
Pubblicazione: (2025)

Explicit and Mixed Estimates for Thue inequalities with few coefficients
di: Saradha, N., et al.
Pubblicazione: (2025)

Sum of terms of recurrence sequences in the solution sets of generalized Pell equations
di: Bhoi, Pritam Kumar, et al.
Pubblicazione: (2024)

Sum of terms of recurrence sequences and $S$-units in the solution sets of norm form equations
di: N, Darsana, et al.
Pubblicazione: (2024)

On equations $(-1)^αp^x+(-1)^β(2^k(2p+1))^y=z^2$ with Sophie Germain prime $p$
di: Li, Yuan, et al.
Pubblicazione: (2022)

On a conjecture of Levesque and Waldschmidt II
di: Hilgart, Tobias, et al.
Pubblicazione: (2024)

On the complete solutions of a generalized Lebesgue-Ramanujan-Nagell equation
di: Chakraborty, Kalyan, et al.
Pubblicazione: (2021)

On the resolution of the Diophantine equation $U_n + U_m = x^q$
di: Bhoi, P. K., et al.
Pubblicazione: (2022)

Asymptotic formulas for sums of elements from a multiplicative group
di: Evertse, Jan-Hendrik, et al.
Pubblicazione: (2026)

On split families of Thue equations with linear recurrence sequences as factors
di: Hilgart, Tobias
Pubblicazione: (2024)

On a nonlinear Diophantine equation with powers of three consecutive $k$--Lucas Numbers
di: Batte, Herbert, et al.
Pubblicazione: (2024)

The Discriminant of the Characteristic Polynomial of the $k$th Fibonacci sequence is not a member of the $k$th Lucas sequence
di: Batte, Herbert, et al.
Pubblicazione: (2025)

The Diophantine equation $P(x)=\overset{r}{\underset{i=1}{\prod}}H_{n_i}$
di: Novaković, Saša
Pubblicazione: (2026)

On the difference between perfect powers and integral $S$-units
di: Bugeaud, Yann
Pubblicazione: (2026)

On the difference between squares and integral $S$-units
di: Bugeaud, Yann
Pubblicazione: (2025)

On the $2$-adic valuation of $σ_k(n)$
di: Cheng, Kaimin, et al.
Pubblicazione: (2026)

$k$-Fibonacci numbers that are palindromic concatenations of two distinct Repdigits
di: Batte, Herbert, et al.
Pubblicazione: (2025)

Perfect powers among Jacobsthal numbers
di: Virbalas, Paulius
Pubblicazione: (2026)

Narayana numbers that are products of two Fibonacci numbers
di: Odjoumani, Japhet
Pubblicazione: (2025)

On $k$-Pell numbers that are Palindromes formed by two distinct Repdigits
di: Batte, Herbert, et al.
Pubblicazione: (2025)

On the Curved Patterns Seen in the Graph of PPTs
di: Parks, James M.
Pubblicazione: (2021)

On $k$-th power Diophantine triples of the form $\{a^k, b, c\}$
di: Fuchs, Clemens, et al.
Pubblicazione: (2026)

On the Chevalley-Bass number of a field
di: Gillibert, Jean, et al.
Pubblicazione: (2026)

On a Diophantine Equation Involving Lucas Numbers
di: Ibrahimov, Seyran S., et al.
Pubblicazione: (2025)

On a problem of Pillai involving S-units and Lucas numbers
di: Batte, Herbert, et al.
Pubblicazione: (2024)