On triple $L$-functions

A characterization of triple semigroup of ternary functions and Demorgan triple semigroup of ternary functions

Renormalization of Certain Integrals Defining Triple Product L-functions

We obtain special values results for the triple product Lfunction attached to a Hilbert modular cuspidal eigenform over a totally real quadratic number field and an elliptic modular cuspidal eigenform, both of level one and even weight. Replacing the elliptic modular cusp form by a specified Eisenstein series, we renormalize the integral defining the triple product L-function in order to obtain...

Subconvexity Bounds for Triple L-functions and Representation Theory

We describe a new method to estimate the trilinear period on automorphic representations of PGL2(R). Such a period gives rise to a special value of the triple L-function. We prove a bound for the triple period which amounts to a subconvexity bound for the corresponding special value of the triple L-function. Our method is based on the study of the analytic structure of the corresponding unique ...

Triple Product L-functions and Quantum Chaos on Sl(2,c)

Let Y be an arithmetic hyperbolic 3-manifold. We establish a link between quantum unique ergodicity for sections of automorphic vector bundles on Y and subconvexity for the triple product L-function, which extends a result of Watson in the case of hyperbolic 2-manifolds. The proof combines the representation theoretic microlocal lift for bundles developed by Bunke and Olbrich with the triple pr...

a characterization of triple semigroup of ternary functions and demorgan triple semigroup of ternary functions