Dongxi Ye

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20242026

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math.NT2026

Difference of the modular function $ω_{2} (τ)$ , revisited

Wei-Lun Tsai, Dongxi Ye

Adapting the analytic method of Gross and Zagier, Roskam proved a prime-factorization formula for the norm of the difference of two level-two Weber singular moduli. Independently,…

math.NT2026

On the Petersson norm $⟨ θ_{ψ}, θ_{ψ} ⟩$

Wei-Lun Tsai, Dongxi Ye

Let $K$ be an imaginary quadratic field of discriminant~ $- d < - 11$ , and for $ℓ \geq 1$ , let $ψ$ be a Hecke character of $K$ with trivial finite conductor and infinite type~$(2\ell,0…

Difference of the modular function ω2​(τ), revisited

On the Petersson norm ⟨θψ​,θψ​⟩

Difference of the modular function $ω_{2} (τ)$ , revisited

On the Petersson norm $⟨ θ_{ψ}, θ_{ψ} ⟩$