Kazim Buyukboduk

activity

20072026

most citedIwasawa theory for Rankin--Selberg products of

p

-non-ordinary eigenforms

17 citations · 136 across the 34 of their papers we have counts for

collaborators

35 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 $L$ -…

math.NT2024

Arithmetic of critical $p$ -adic $L$ -functions

Denis Benois, Kâzım Büyükboduk

Our objective in the present work is to develop a fairly complete arithmetic theory of critical $p$ -adic $L$ -functions on the eigencurve. To this end, we carry out the following ta…

math.NT2023

Anticyclotomic Iwasawa theory of abelian varieties of $GL_{2}$ -type at non-ordinary primes II

Ashay Burungale, Kâzım Büyükboduk, Antonio Lei

Let $E / Q$ an elliptic curve with good supersingular reduction at a prime $p \geq 5$ , and $K$ an imaginary quadratic field such that the root number of $E$ over $K$ equals $…

math.NT2023

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

Kâzım Büyükboduk, Daniele Casazza

We prove the factorization conjecture for triple-product $p$ -adic $L$ -functions formulated in a companion article in the special case when two of the (three) factors have complex m…

math.NT2022

Anticyclotomic Iwasawa theory of abelian varieties of $GL_{2}$ -type at non-ordinary primes

Ashay Burungale, Kâzım Büyükboduk, Antonio Lei

Let $p \geq 5$ be a prime number, $E / Q$ an elliptic curve with good supersingular reduction at $p$ and $K$ an imaginary quadratic field such that the root number of $E$ over…

math.NT2020★ 5 cited

Interpolation of Beilinson-Kato elements and $p$ -adic $L$ -functions

Denis Benois, Kâzım Büyükboduk

Our objective in this series of two articles, of which the present article is the first, is to give a Perrin-Riou-style construction of $p$ -adic $L$ -functions (of Bellaïche and Ste…

math.NT2020★ 2 cited

Iwasawa theory of twists of elliptic modular forms over imaginary quadratic fields at inert primes

Kâzım Büyükboduk, Antonio Lei

Our primary goal in this article is to study the Iwasawa theory for semi-ordinary families of automorphic forms on $GL_{2} \times Res_{K / Q} GL_{1}$ , wh…

math.NT2020

$L$ -invariants, $p$ -adic heights and factorization of $p$ -adic $L$ -functions

Kâzim Büyükboduk, Ryotaro Sakamoto

We continue with our study of the non-critical exceptional zeros of Katz' $p$ -adic $L$ -functions attached to a CM field $K$ , following two threads. In the first thread, we redefine…

math.NT2020

Iwasawa theory for $GL_{2} \times Res_{K / Q} GL_{1}$

Kâzım Büyükboduk, Antonio Lei

Let $K$ be a imaginary quadratic field where the prime $p$ splits. Our goal in this article is to prove results towards the Iwasawa main conjectures for $p$ -nearly-ordinary familie…

math.NT2019★ 6 cited

Interpolation of Generalized Heegner Cycles in Coleman Families

Kazim Büyükboduk, Antonio Lei

Kobayashi recently proved that the generalized Heegner cycles of Bertolini--Darmon--Prasanna can be interpolated along the anticyclotomic tower, giving rise to distribution valued…

math.NT2019★ 3 cited

On the non-critical exceptional zeros of Katz $p$ -adic $L$ -functions for CM fields

Kazim Buyukboduk, Ryotaro Sakamoto

The primary goal of this article is to study $p$ -adic Beilinson conjectures in the presence of exceptional zeros for Artin motives over CM fields. In more precise terms, we address…

math.NT2018★ 11 cited

$p$ -adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou

Kazim Büyükboduk, Robert Pollack, Shu Sasaki

Let $p$ be an odd prime. Given an imaginary quadratic field $K = Q (- D_{K})$ where $p$ splits with $D_{K} > 3$ , and a $p$ -ordinary newform $f \in S_{k} (Γ_{0} (N))$ such that $N$ …

math.NT2018★ 6 cited

Rank--two Euler systems for symmetric squares

Kâzım Büyükboduk, Antonio Lei

Let $p \geq 7$ be a prime number and $f$ a normalized eigen-newform with good reduction at $p$ such that its $p$ -th Fourier coefficient vanishes. We construct a rank-two Euler system…

math.NT2018★ 3 cited

Iwasawa theory for Symmetric Square of non- $p$ -ordinary eigenforms

Kâzım Büyükboduk, Antonio Lei, Guhan Venkat

Let $f$ be a normalized cuspidal eigen-newform of level coprime to $p$ with $a_{p} (f) = 0$ . We formulate both integral signed Iwasawa main conjectures and analytic Iwasawa man conjectu…

math.NT2018★ 17 cited

Iwasawa theory for Rankin--Selberg products of $p$ -non-ordinary eigenforms

Kazim Büyükboduk, Antonio Lei, David Loeffler +1

Let $f$ and $g$ be two modular forms which are non-ordinary at $p$ . The theory of Beilinson-Flach elements gives rise to four rank-one non-integral Euler systems for the Rankin-Sel…

math.NT2017★ 3 cited

Main conjectures for higher rank nearly ordinary families -- I

Kazim Büyükboduk, Tadashi Ochiai

In this article, we present the first half of our project on the Iwasawa theory of higher rank Galois deformations over deformations rings of arbitrary dimension. We develop a theo…

math.NT2016★ 2 cited

Iwasawa theory of elliptic modular forms over imaginary quadratic fields at non-ordinary primes

Kazim Buyukboduk, Antonio Lei

We formulate integral Iwasawa main conjectures for suitable twists of a newform $f$ that is non-ordinary at $p$ , over the cyclotomic $Z_{p}$ -extension, the anticyclotomic $\…

math.NT2016★ 5 cited

Anticyclotomic p-ordinary Iwasawa Theory of Elliptic Modular Forms

Kazim Büyükboduk, Antonio Lei

This is the first in a series of articles where we will study the Iwasawa theory of an elliptic modular form f along the anticyclotomic Zp-tower of an imaginary quadratic field K w…

math.NT2015★ 7 cited

On the exceptional zeros of $p$ -non-ordinary $p$ -adic $L$ -functions and a conjecture of Perrin-Riou

Denis Benois, Kazim Buyukboduk

Our goal in this article is to prove a form of $p$ -adic Birch and Swinnerton-Dyer formula for the second derivative of the $p$ -adic $L$ -function associated to a newform $f$ which i…

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

Arithmetic of critical p-adic L-functions

Anticyclotomic Iwasawa theory of abelian varieties of GL2​-type at non-ordinary primes II

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

Anticyclotomic Iwasawa theory of abelian varieties of GL2​-type at non-ordinary primes

Interpolation of Beilinson-Kato elements and p-adic L-functions

Iwasawa theory of twists of elliptic modular forms over imaginary quadratic fields at inert primes

L-invariants, p-adic heights and factorization of p-adic L-functions

Iwasawa theory for GL2​×ResK/Q​GL1​

Interpolation of Generalized Heegner Cycles in Coleman Families

On the non-critical exceptional zeros of Katz p-adic L-functions for CM fields

p-adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou

Rank--two Euler systems for symmetric squares

Iwasawa theory for Symmetric Square of non-p-ordinary eigenforms

Iwasawa theory for Rankin--Selberg products of p-non-ordinary eigenforms

Main conjectures for higher rank nearly ordinary families -- I

Iwasawa theory of elliptic modular forms over imaginary quadratic fields at non-ordinary primes

Anticyclotomic p-ordinary Iwasawa Theory of Elliptic Modular Forms

On the exceptional zeros of p-non-ordinary p-adic L-functions and a conjecture of Perrin-Riou

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

Arithmetic of critical $p$ -adic $L$ -functions

Anticyclotomic Iwasawa theory of abelian varieties of $GL_{2}$ -type at non-ordinary primes II

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

Anticyclotomic Iwasawa theory of abelian varieties of $GL_{2}$ -type at non-ordinary primes

Interpolation of Beilinson-Kato elements and $p$ -adic $L$ -functions

$L$ -invariants, $p$ -adic heights and factorization of $p$ -adic $L$ -functions

Iwasawa theory for $GL_{2} \times Res_{K / Q} GL_{1}$

On the non-critical exceptional zeros of Katz $p$ -adic $L$ -functions for CM fields

$p$ -adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou

Iwasawa theory for Symmetric Square of non- $p$ -ordinary eigenforms

Iwasawa theory for Rankin--Selberg products of $p$ -non-ordinary eigenforms

On the exceptional zeros of $p$ -non-ordinary $p$ -adic $L$ -functions and a conjecture of Perrin-Riou