This paper develops an analytic theory of Dirichlet series in several complex variables which possess sufficiently many functional equations. In the first two sections it is shown how straightforwardâ€¦ (More)

We establish the meromorphic continuation of a multiple Dirichlet series associated to the fourth moment of quadratic Dirichlet L-functions, over the rational function field Fq(T ) with q odd, up toâ€¦ (More)

This paper presents a study concerning the current implementation of 802.11 wireless local area networks in Romania and their security. The data that was gathered throughout the year 2012 presentsâ€¦ (More)

Let k be an algebraic number field with adele ring A. Fix an integer r â‰¥ 2 and consider the general linear groups GLr(k), GLr(A) of r Ã— r invertible matrices with entries in k, A, respectively. Let Zâ€¦ (More)

We obtain second integral moments of automorphic Lâ€“functions on adele groups GL2 over arbitrary number fields, by a spectral decomposition using the structure and representation theory of adeleâ€¦ (More)

We break the convexity bound in the tâ€“aspect for Lâ€“functions attached to cuspforms f for GL2(k) over arbitrary number fields k. The argument uses asymptotics with error term with a power saving, forâ€¦ (More)

We exhibit a spectral identity involving L(s,Symf) for f on SL2. Perhaps contrary to expectations, we do not treat L(s,Symf) directly as a GL3 object. Rather, we take advantage of the coincidenceâ€¦ (More)

Let Ï€ be a self-contragredient cuspidal automorphic representations of GL3(AQ). We show that if the symmetric square L-function of Ï€ has a pole at s = 1, then Ï€ is determined by central values ofâ€¦ (More)

It is shown that a large class of multiple Dirichlet series which arise naturally in the study of moments of Lâ€“functions have natural boundaries. As a remedy we consider a new class of multipleâ€¦ (More)