No abstract

Let Ω be a bounded convex domain in R n (n ≥ 2). In this work, we prove that if there exists an integrable function f such that it's Radon transform over (n − 1)-dimensional hyperplanes intersecting the domain Ω is a strictly positive function of distance to the nearest parallel supporting hyperplane to Ω, then Ω is a ball and the function f is a unique radial function about the center of Ω.1991 Mathematics Subject Classification. Primary: 44A12, 53C65; Secondary: 65R32.

No abstract

Abstract. In this paper we calculate the cubic seriesand two related Euler Sums of weight 6 by a technique involving only the manipulation of series. We also provide a second approach of the computation involving special logarithmic integrals.Mathematics subject classification (2010): 33B15, 33B30, 40B10, 40C05.