Luochen Zhao

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20232025

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math.NT2025

On the Bernoulli--Hurwitz periods

Luochen Zhao

Let $E$ be an elliptic curve having CM by the ring of integers of an imaginary quadratic field $K$ in which $p$ splits. Following Lichtenbaum, the Bernoulli--Hurwitz numbers of $E$ …

math.NT2024

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic $Z_{p}$ -towers

Antonio Lei, Luca Mastella, Luochen Zhao

Let $p$ be an odd prime number and let $K$ be an imaginary quadratic field in which $p$ is split. Let $f$ be a modular form with good reduction at $p$ . We study the variation of th…

math.NT2023

On a product formula of bivariate $p$ -adic Gamma values

Luochen Zhao

We establish a derivative formula of $p$ -adic Shintani $L$ -functions, thus those of totally real $p$ -adic Hecke $L$ -functions with trivial moduli. As an application, we present a p…

On the Bernoulli--Hurwitz periods

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic Zp​-towers

On a product formula of bivariate p-adic Gamma values

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic $Z_{p}$ -towers

On a product formula of bivariate $p$ -adic Gamma values