12 citations · 31 across the 8 of their papers we have counts for
9 papers
Simultaneous nonvanishing of Dirichlet -functions in Galois orbits
Hung M. Bui, Alexandra Florea, Hieu T. Ngo
Under the Generalized Riemann Hypothesis, we prove that given any two distinct imprimitive Dirichlet characters modulo , a positive proportion of characters m…
A matrix variant of the Erdős-Falconer distance problems over finite field
Hieu T. Ngo
We study a matrix analog of the Erdős-Falconer distance problems in vector spaces over finite fields. There arises an interesting analysis of certain quadratic matrix Gauss sums.
Expanders on matrices over a finite chain ring, I
Dung M. Ha, Hieu T. Ngo
In this work and its sequel, we study the expanding phenomenon of matrices over a finite chain ring of large residue field. A sum-product estimate is proved. It is showed that $x+y…
On roots of quadratic congruences
Hieu T. Ngo
The equidistribution of roots of quadratic congruences with prime moduli depends crucially upon effective bounds for a special Weyl linear form. Duke, Friedlander and Iwaniec disco…
Nonvanishing of Dirichlet L-functions, II
Rizwanur Khan, Djordje Milićević, Hieu T. Ngo
We show that for at least of the primitive Dirichlet characters of large prime modulus, the central value does not vanish, improving on the pr…
Nonvanishing of Dirichlet L-functions
Rizwanur Khan, Hieu T. Ngo
We show that for at least 3/8 of the primitive Dirichlet characters of large prime modulus, the central value does not vanish.
Non-vanishing of Dirichlet L-functions in Galois orbits
Rizwanur Khan, Djordje Milićević, Hieu T. Ngo
A well known result of Iwaniec and Sarnak states that for at least one third of the primitive Dirichlet characters to a large modulus q, the associated L-functions do not vanish at…
Renormalization and quantum modular forms, part II: Mock theta functions
Yingkun Li, Hieu T. Ngo, Robert C. Rhoades
Sander Zwegers showed that Ramanujan's mock theta functions are -hypergeometric series, whose -expansion coefficients are half of the Fourier coefficients of a non-holomorphi…
Renormalization and quantum modular forms, part I: Maass wave forms
Yingkun Li, Hieu T. Ngo, Robert C. Rhoades
Sander Zwegers showed that Ramanujan's mock theta functions are -hypergeometric series, whose -expansion coefficients are half of the Fourier coefficients of a non-holomorphi…