39 citations · 227 across the 91 of their papers we have counts for
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The second moment of Dirichlet twists of Hecke -functions
Peng Gao, Rizwanur Khan, Guillaume Ricotta
Fix a Hecke cusp form , and consider the -function of twisted by a primitive Dirichlet character. As we range over all primitive characters of a large modulus , what i…
On weighted mean matrices whose norms are determined on decreasing sequences
Peng Gao
We give a condition on weighted mean matrices so that their norms are determined on decreasing sequences when the condition is satisfied. We apply our result to give a proof…
A note on norms of weighted mean matrices
Peng Gao
We present some results concerning the norms of weighted mean matrices. These results can be regarded as analogues to a result of Bennett concerning weighted Carleman's inequ…
-level density of the low-lying zeros of quadratic Dirichlet -functions
Peng Gao
The Density Conjecture of Katz and Sarnak associates a classical compact group to each reasonable family of -functions. Under the assumption of the Generalized Riemann Hypothesi…
On norms of some weighted mean matrices
Peng Gao
We give another proof of a result of Bennett on the operator norms of some weighted mean matrices for the case and we also present some related results.