Xiao-Jie Zhu

activity

20212025

most citedDouble coset operators and eta-quotients

4 citations · 4 across the 11 of their papers we have counts for

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2 papers · 1 filter

math.NT2025

Quadratic Gauss sums over $Z^{n} / c Z^{n}$ : explicit formulas, a duality theorem, and applications to Weil representations and cubic hypersurfaces over $F_{p}$

Xiao-Jie Zhu

We provide explicit formulas for quadratic Gauss sums over $Z^{n} / c Z^{n}$ , which generalize some of the existing formulas, e.g., Skoruppa and Zagier's (for $n = 2$ ), an…

math.NT2025

Correspondence among congruence families for generalized Frobenius partitions via modular permutations

Rong Chen, Xiao-Jie Zhu

In 2024, Garvan, Sellers and Smoot discovered a remarkable symmetry in the families of congruences for generalized Frobenius partitions $c ψ_{2, 0}$ and $c ψ_{2, 1}$ . They also emphasi…

Quadratic Gauss sums over Zn/cZn: explicit formulas, a duality theorem, and applications to Weil representations and cubic hypersurfaces over Fp​

Correspondence among congruence families for generalized Frobenius partitions via modular permutations

Quadratic Gauss sums over $Z^{n} / c Z^{n}$ : explicit formulas, a duality theorem, and applications to Weil representations and cubic hypersurfaces over $F_{p}$