Geodesic
Least Positive Residues and the Quadratic Character of Two
Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 355-358

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Let be the least positive residue modulo 2tk of (2j- l)h. Define ut to be the number of with l≤j≤2t-2k such that . At the Special Session in Combinatorial Number Theory at the 1977 Summer AMS Meeting Szekeres [2] asked for a simple proof that if (h, 2k)=1, then Here a simple proof will be given for the following equivalent result. 
Rosen, Kenneth H. Least Positive Residues and the Quadratic Character of Two. Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 355-358. doi: 10.4153/CMB-1980-050-8
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     title = {Least {Positive} {Residues} and the {Quadratic} {Character} of {Two}},
     journal = {Canadian mathematical bulletin},
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     year = {1980},
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     number = {3},
     doi = {10.4153/CMB-1980-050-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-050-8/}
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