On a conjecture of Schäffer concerning the equation \(1^k + \ldots + x^k = y^n\)
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Publication:2347036
DOI10.1016/j.jnt.2015.03.015zbMath1377.11039OpenAlexW346955255WikidataQ123122744 ScholiaQ123122744MaRDI QIDQ2347036
Publication date: 26 May 2015
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2015.03.015
Related Items (11)
Corrigendum to ``On a conjecture of Schäffer concerning the equation \(1^k+x^k=y^n\) ⋮ On the Diophantine equation \((x+1)^{k}+(x+2)^{k}+\ldots+(2x)^{k}=y^{n}\) ⋮ DIOPHANTINE EQUATIONS OF THE FORM OVER FUNCTION FIELDS ⋮ On the Diophantine equation (x − d)4 + x4 + (x + d)4 = yn ⋮ Perfect powers that are sums of squares of an arithmetic progression ⋮ Unnamed Item ⋮ On the equation \(1^{k}+2^{k}+\cdots +x^{k}=y^{n}\) for fixed \(x\) ⋮ Superelliptic equations arising from sums of consecutive powers ⋮ Perfect powers that are sums of squares in a three term arithmetic progression ⋮ The equation $(x-d)^5+x^5+(x+d)^5=y^n$ ⋮ Perfect powers in sum of three fifth powers
Cites Work
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- Perfect powers with few binary digits and related Diophantine problems, II
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