3 papers
math.NT2026
On a conjecture on Romanoff type sumsets
Yuchen Ding, Liangxun Li
In this note, we generalize a 1950 result of P. Erd\H os on upper bounds of -th moment of Romanoff type representation functions. As an application, we give a conditional proof…
math.NT2026
On the second integral moment of -functions
Liangxun Li
Assume that the generalized Ramanujan conjecture holds on the automorphic -function on $\GL_d$ over with , we can obtain a small log-saving non-…
math.NT2025
On the Second Moment of Twisted Higher Degree -functions
Haozhe Gou, Liangxun Li
Assuming the Ramanujan conjecture, the zero density estimate and some subconvexity type bound, we describe a general method to obtain the log-saving upper bound for the second mome…