Pages that link to "Item:Q687512"

The following pages link to On the equations \(p^x - b^y = c\) and \(a^x + b^y = c^z\) (Q687512):

Displaying 36 items.

• Bennett's Pillai theorem with fractional bases and negative exponents allowed (Q259512) (← links)
• The generalized Pillai equation \(\pm ra^x\pm sb^y=c\) (Q531838) (← links)
• Polynomial cycles in certain rings of rationals (Q558128) (← links)
• Exceptional cases of Terai's conjecture on Diophantine equations (Q616143) (← links)
• Jeśmanowicz' conjecture on exponential Diophantine equations (Q651798) (← links)
• Proof of the impossibility of the Fermat equation \(X^ p+Y^ p=Z^ p\) for special values of \(p\) and of the more general equation \(bX^ n+cY^ n=dZ^ n\) (Q788014) (← links)
• On the generalized Pillai equation \(\pm a^{x}\pm b^{y}=c\) (Q852536) (← links)
• An upper bound for the number of solutions of the exponential diophantine equation \(a^x+b^y=c^z\) (Q1125417) (← links)
• The diophantine equation \(a^ x+b^ y=c^ z\) (Q1327767) (← links)
• A note on the diophantine equation \((m^3-3m)^x+(3m^2-1)^y=(m^2+1)^z\) (Q1387935) (← links)
• On \(p^x-q^y=c\) and related three term exponential Diophantine equations with prime bases. (Q1429806) (← links)
• On the exponential Diophantine equation \(a^x+b^y=c^z\) (Q1607592) (← links)
• Number of solutions to \(ka^x+lb^y=c^z\) (Q1747225) (← links)
• Pillai's conjecture revisited. (Q1869792) (← links)
• Generalizations of classical results on Jeśmanowicz' conjecture concerning Pythagorean triples (Q1930116) (← links)
• The number of solutions to the generalized Pillai equation \(\pm ra^{x} \pm sb^{y}=c\). (Q1953846) (← links)
• A purely exponential Diophantine equation in three unknowns (Q2151162) (← links)
• On the exponential Diophantine equation \((m^2+m+1)^x+m^y=(m+1)^z\) (Q2211718) (← links)
• On Erdős-Wood's conjecture (Q2354951) (← links)
• A note on the number of solutions of the Pillai type equation \(| a^x - b^y | = k\) (Q2671992) (← links)
• On the equation $a^p + 2^α b^p + c^p = 0$ (Q3130228) (← links)
• THE SHUFFLE VARIANT OF JEŚMANOWICZ’ CONJECTURE CONCERNING PYTHAGOREAN TRIPLES (Q3173415) (← links)
• (Q4258714) (← links)
• (Q4261840) (← links)
• (Q4884724) (← links)
• (Q5060291) (← links)
• On the equations <i>a</i>²−2<i>b</i>⁶=<i>c</i>^<i>p</i> and <i>a</i>²−2=<i>c</i>^<i>p</i> (Q5169633) (← links)
• Differences of Harmonic Numbers and the $abc$-Conjecture (Q5223057) (← links)
• Quelques résultats sur les équations <i>ax^p</i> + <i>by^p</i> = <i>cz²</i> (Q5472770) (← links)
• On the Equations a x ± b x = c y (Q5529565) (← links)
• A NOTE ON THE NUMBER OF SOLUTIONS OF TERNARY PURELY EXPONENTIAL DIOPHANTINE EQUATIONS (Q5879212) (← links)
• On the exponential Diophantine equation \(p^x-2^y=z^2\) with \(p=k^2+4\) a prime number (Q6044655) (← links)
• ON A CONJECTURE CONCERNING THE NUMBER OF SOLUTIONS TO (Q6093243) (← links)
• Number of solutions to a special type of unit equations in two unknowns, II (Q6491581) (← links)
• At most one solution to \(a^x + b^y = c^z\) of \(a, b, c\) (Q6667600) (← links)
• On a conjecture concerning the number of solutions to \(a^x + b^y = c^z\). II (Q6667601) (← links)