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math.NT2021★ 1 cited
Lang--Trotter Conjecture for CM Elliptic Curves
Daqing Wan, Ping Xi
Given an elliptic curve over and non-zero integer , the Lang--Trotter conjecture predicts a striking asymptotic formula for the number of good primes $p\leqslan…
math.NT2021
Moments and equidistributions of multiplicative analogues of Kloosterman sums
Ping Xi
We consider a family of character sums as multiplicative analogues of Kloosterman sums. Using Gauss sums, Jacobi sums and Deligne's bound for hyper-Kloosterman sums, we establish a…
math.NT2021
Addendum to "Arithmetic exponent pairs of algebraic trace functions and applications"
Jie Wu, Ping Xi
This addendum devotes to a detailed proof for the inequality (9.14) in our joint work: Arithmetic exponent pairs for algebraic trace functions and applications, with an appendix by…