Tuoping Du

activity

20122026

most citedQuaternions and Kudla's matching princple

1 citations · 1 across the 8 of their papers we have counts for

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math.NT2024

On the arithmetic inner product formula and central derivatives of L-functions

Tuoping Du

This research provides a formal definition of the arithmetic theta lift for cusp forms of weight $3/2$ and establishes the arithmetic inner product formula, thereby completing the…

math.NT2024

An exact way to verify whether n is a congruent number using Heegner points

Heng Chen, Rong Ma, Tuoping Du

We introduce the relationship between congruent numbers and elliptic curves, and compute the conductor of the elliptic curve $y^{2} = x^{3} - n^{2} x$ associated with it. Furthermore, we…