arXiv subjects

João Pedro Boavida

Publications and source records attributed to João Pedro Boavida.

3 recordsLinked to original sources

arXiv2015

Compact periods of Eisenstein series of orthogonal groups of rank one at even primes

Fix a number field k with its adele ring A. Let G=O(n+3) be an orthogonal group of k-rank 1 and H=O(n+2) a k-anisotropic subgroup. We have previously [arXiv:0908.3521] described how to factor the global period of a spherical Eisenstein series of G against a cuspform F of H into an Euler product. Here, we describe how to evaluate the factors at even primes. When the local field is unramified, we carry out the computation in all cases. We show also concrete examples of the complete period when k=Q. The results are consistent with the Gross-Prasad conjecture.

math.NT↗

arXiv2015

A spectral identity for second moments of Eisenstein series of O(n, 1)

Let H=O(n)xO(1) be an anisotropic subgroup of G=O(n, 1) and let A be the adele ring of k=Q. Consider the periods of an Eisenstein series on G against a form F on H. Relying on a variant of Levi-Sobolev spaces, we describe certain Poincaré series as fundamental solutions for the laplacian, and use them to establish a spectral identity concerning the second moments (in F-aspect) of the Eisenstein series.

math.NT↗

arXiv2012

Compact periods of Eisenstein series of orthogonal groups of rank one

Let G=O(n+3) be an orthogonal group of rank one and H=O(n+2) an anisotropic subgroup. We unwind the period along H of a spherical Eisenstein series of G against a cuspform of H into an Euler product and evaluate the local factors at odd primes.

math.NT↗