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math.NT2015★ 1 cited
On Period Relations for Automorphic L-functions I
Fabian Januszewski
This paper is the first in a series of two dedicated to the study of period relations of the type $$ L(\frac{1}{2}+k,Π)\;\in\;(2πi)^{d\cdot k}Ω_{(-1)^k}{\mathbb Q}(Π),\quad \frac{1…
math.NT2015★ 1 cited
p-adic L-functions for Rankin-Selberg convolutions over number fields
Fabian Januszewski
We unconditionally construct cyclotomic p-adic L-functions for Rankin-Selberg convolutions for GL(n+1) x GL(n) over arbitrary number fields, and show that they satisfy an expected…