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math.NT2016
On the generalized circle problem for a random lattice in large dimension
Andreas Strömbergsson, Anders Södergren
In this note we study the error term R_{n,L}(x) in the generalized circle problem for a ball of volume x and a random lattice L of large dimension n. Our main result is the followi…
math.NT2013★ 5 cited
On the location of the zero-free half-plane of a random Epstein zeta function
Andreas Strömbergsson, Anders Södergren
In this note we study, for a random lattice L of large dimension n, the supremum of the real parts of the zeros of the Epstein zeta function E_n(L,s) and prove that this random var…