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109
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Sum of powers in multiple ways

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#number-theory #diophantine-equations
65
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Given $n,k$ how to find $r,s$ s.t. $r \neq n , s \neq k$ where $\binom {n}{k}=\binom{r}{s}$

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#combinations #binomial-coefficients #diophantine-equations
98
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Dimensional coincidences between Lie groups

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#group-theory #lie-groups #diophantine-equations #exceptional-isomorphisms
192
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Show that $a^2 - 2021b^2 = 13$ has no integer solutions

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#number-theory #diophantine-equations
151
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Modified sum of three squares problem

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#number-theory #inequality #diophantine-equations
142
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Is there a method to solve the following diophantine equation: $2x^2+2y^2+2z^2 +u^2 +v^2 = N$?

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#number-theory #diophantine-equations
100
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Are all the solutions produced by Mathematica?

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#diophantine-equations #vieta-jumping
153
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Newton Binomial to find $(x_1+x_2+x_3)(x_4+x_5+x_6+x_7)=77$

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#combinatorics #diophantine-equations
139
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Finding an integer vector perpendicular to a rational vector/solving a Diophantine equation with constraints.

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#linear-algebra #number-theory #diophantine-equations #diophantine-approximation
111
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Could it be generally proved that some positive integer is not of the form $x+y+2xy$?

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#number-theory #diophantine-equations
83
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Review on diophantine equations

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#number-theory #reference-request #diophantine-equations #arithmetic-geometry
253
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Diophantine equation $2^x-3^y=2021$

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#number-theory #diophantine-equations #exponential-diophantine-equations
381
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find all the integral solution for $y^2 + 31 = x^3$

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#number-theory #elementary-number-theory #algebraic-number-theory #diophantine-equations
164
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A problem with sequences

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#diophantine-equations
162
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Approximating the number of lattice points on a sphere

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#physics #diophantine-equations #approximation

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