Daniel R. Grayson

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20042019

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math.NT2018

Eisenstein series of weight one, $q$ -averages of the $0$ -logarithm and periods of elliptic curves

Daniel R. Grayson, Dinakar Ramakrishnan

For any elliptic curve $E$ over $k \subset R$ with $E (C) = C^{\times} / q^{Z}$ , $q = e^{2 π i z}, ℑ (z) > 0$ , we study the $q$ -average $D_{0, q}$ , defined on $E({\Bbb C})…

math.NT2004

Volumes of symmetric spaces via lattice points

Henri Gillet, Daniel R. Grayson

In this paper we show how to use elementary methods to prove that the volume of Sl_k R / Sl_k Z is zeta(2) * zeta(3) * ... * zeta(k) / k. Using a version of reduction theory presen…

Eisenstein series of weight one, q-averages of the 0-logarithm and periods of elliptic curves

Volumes of symmetric spaces via lattice points

Eisenstein series of weight one, $q$ -averages of the $0$ -logarithm and periods of elliptic curves