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math.SP2017★ 1 cited
Optimal stretching for lattice points under convex curves
Sinan Ariturk, Richard S. Laugesen
Suppose we count the positive integer lattice points beneath a convex decreasing curve in the first quadrant having equal intercepts. Then stretch in the coordinate directions so a…
math.SP2016★ 8 cited
Eigenvalue estimates on quantum graphs
Sinan Ariturk
On a finite connected metric graph, we establish upper bounds for the eigenvalues of the Laplacian. These bounds depend on the length, the Betti number, and the number of pendant v…