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An Effective Equidistribution of Diagonal Translates of Certain Orbits in ASL(3,Z)\ASL(3,R)


We prove an effective equidistribution for diagonal translates of certain orbits in ASL(3,Z)\ASL(3,R) by using Fourier analysis and Weil’s bound on Kloosterman sums, which extends the work of Strömbergsson, where he proves a similar result on ASL(2,Z)\ASL(2,R).

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