4 citations · 29 across the 15 of their papers we have counts for
14 papers · 1 filter
The subconvexity bound for standard L-function in level aspect
Yueke Hu, Paul Nelson
In this paper we prove a new subconvexity result for the standard L-function of a unitary cuspidal automorphic representation of , where the finite set of places $…
Subconvex bounds for in horizontal aspects
Yueke Hu, Paul D. Nelson
For -functions attached to automorphic representations of unitary groups , we establish a subconvex bound valid in certain horizontal aspects, where the set o…
The subconvexity problem for Rankin-Selberg and triple product L-functions
Yueke Hu, Philippe Michel, Paul Nelson
In this paper we study the subconvexity problem for the Rankin-Selberg L-function and triple product L-function, allowing joint ramifications and conductor dropping range. We first…
The Petersson/Kuznetsov trace formula with prescribed local ramifications
Yueke Hu
In this paper we derive refined Petersson/Kuznetsov trace formulae with prescribed local ramifications. The spectral side of these formulae picks out newforms whose associated loca…
Waldspurger's period integral for newforms
Yueke Hu, Jie Shu, Hongbo Yin
In this paper we discuss Waldspurger's local period integral for newforms in new cases. The main ingredient is the work \cite{HN18} on Waldspurger's period integral using the minim…
Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces, II: newforms and subconvexity
Yueke Hu, Abhishek Saha
We improve upon the local bound in the depth aspect for sup-norms of newforms on where is an indefinite quaternion division algebra over . Our sup-norm b…
New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds
Yueke Hu, Paul D. Nelson
In this paper we give quantitative local test vectors for Waldspurger's period integral (i.e., a toric period on ) in new cases with joint ramifications. The construct…
Sup norm on in depth aspect
Yueke Hu
In this short paper we give the sub-local upper bound for the sup norm of an automorphic form on , whose associated automorphic representation has finite conductor $C…
Some analytic aspects of automorphic forms on GL(2) of minimal type
Yueke Hu, Paul D. Nelson, Abhishek Saha
Let be a cuspidal automorphic representation of of arithmetic conductor and archimedean parameter , and let be an -normalized aut…
An explicit Gross-Zagier formula related to the Sylvester Conjecture
Yueke Hu, Jie Shu, Hongbo Yin
Let be a rational prime number such that is not a cubic residue. In this paper we prove the 3-part of the product of the full BSD conjectures for $E_p…
Test vectors for Waldspurger's period integral and application to the mass equidistribution on nonsplit torus
Yueke Hu
In this paper we provide local test vector for Waldspurger's period integral, when the level of the representation is sufficiently large compared to the level of the characte…
Triple product formula and mass equidistribution on modular curves of level N
Yueke Hu
It was shown in previous works that the measure associated to holomorphic newforms of weight and level will tend weakly to the Haar measure on modular curve of level 1, as…
The subconvexity bound for triple product L-function in level aspect
Yueke Hu
In this paper we generalized Venkatesh and Woodbury's work on the subconvexity bound of triple product L-function in level aspect, allowing joint ramifications, higher ramification…
Cuspidal part of an Eisenstein series restricted to an index 2 subfield
Yueke Hu
Let be a quadratic extension of a number field . Let be an Eisenstein series on , and let be a cuspidal automorphic form on…