Kazim Buyukboduk

activity

20182026

collaborators

10 papers

math.NT2026

A proof of $p$ -adic Gross--Zagier theorem via BDP formula

Kâzım Büyükboduk, Peter Neamti

This paper provides a new proof of the $p$ -adic Gross--Zagier formula for the $p$ -adic $L$ -function associated with the base change of a normalised cuspidal eigen-newform $f$ of we…

math.NT2025

Trito-non-ordinary Iwasawa theory of diagonal cycles

Raúl Alonso, Kâzım Büyükboduk, Antonio Cauchi +1

Our goal in this paper is to introduce and study the Euler system of signed diagonal cycles associated with a trito-non-ordinary triple product of the form $f^B \times g^B \times \…

math.NT2025

Wall-crossing and $p$ -adic Artin formalism for $GSp_{4} \times GL_{2} \times GL_{2}$

Kâzım Büyükboduk, Óscar Rivero, Ryotaro Sakamoto

The goal of this article is to develop a $p$ -adic Artin formalism in the context of $p$ -adic families of automorphic forms on $GSp_{4} \times GL_{2} \times GL_{2}$ . Our…

math.NT2025

On the Artin formalism for triple product $p$ -adic $L$ -functions

Kâzım Büyükboduk, Ryotaro Sakamoto

Our main objective in the present article is to study the factorisation problem for triple-product $p$ -adic $L$ -functions, particularly in the scenarios when the defining propertie…

math.NT2024

Functional equations of algebraic Rankin-Selberg $p$ -adic $L$ -functions

Kâzım Büyükboduk, Manisha Ganguly

This article presents an approach to the algebraic functional equation for Selmer complexes, which in turn have applications in the Iwasawa theoretic study of Rankin-Selberg produc…

math.NT2024

On the Artin formalism for triple product $p$ -adic $L$ -functions: Chow--Heegner points vs. Heegner points

Kâzım Büyükboduk, Daniele Casazza, Aprameyo Pal +1

Our main objective in this paper (which is expository for the most part) is to study the necessary steps to prove a factorization formula for a certain triple product $p$ -adic $L$ -…

A proof of p-adic Gross--Zagier theorem via BDP formula

Trito-non-ordinary Iwasawa theory of diagonal cycles

Wall-crossing and p-adic Artin formalism for GSp4​×GL2​×GL2​

On the Artin formalism for triple product p-adic L-functions

Functional equations of algebraic Rankin-Selberg p-adic L-functions

On the Artin formalism for triple product p-adic L-functions: Chow--Heegner points vs. Heegner points

A proof of $p$ -adic Gross--Zagier theorem via BDP formula

Wall-crossing and $p$ -adic Artin formalism for $GSp_{4} \times GL_{2} \times GL_{2}$

On the Artin formalism for triple product $p$ -adic $L$ -functions

Functional equations of algebraic Rankin-Selberg $p$ -adic $L$ -functions

On the Artin formalism for triple product $p$ -adic $L$ -functions: Chow--Heegner points vs. Heegner points