Random matrix theory and the derivative of the Riemann zeta function
نویسندگان
چکیده
Jk(T ) is clearly de ned for all k > 0, and, on the additional assumption that all the zeros are simple, for all k < 0. It has previously been studied by Gonek (1984, 1989, 1999) and Hejhal (1989), and is discussed in Odlyzko (1992, x 2.12) and Titchmarsh (1986, x 14). The model proposed by Keating & Snaith (2000) is the characteristic polynomial of an N £ N unitary matrix U with eigenangles 3 n, Z( 3 ) = det(I ¡ Ue¡i 3 ) (1.4)
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