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Jigu Kim
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All published works
Action
Title
Year
Authors
+
Congruences for class numbers of $$\mathbb {Q}(\sqrt{\pm 2p})$$ when $$p\equiv 3$$ $$(\text {mod }4)$$ is prime
2024
Jigu Kim
Yoshinori Mizuno
+
The theta cycles for modular forms modulo prime powers
2023
Jigu Kim
Yoonjin Lee
+
PDF
Chat
Congruences for odd class numbers of quadratic fields with odd discriminant
2022
Jigu Kim
Yoshinori Mizuno
+
PDF
Chat
$p$-adic Properties for Taylor Coefficients of Half-integral Weight Modular Forms on $\Gamma_1(4)$
2022
Jigu Kim
Yoonjin Lee
+
Congruent numbers and lower bounds on class numbers of real quadratic fields
2022
Jigu Kim
Yoonjin Lee
+
Congruences for odd class numbers of quadratic fields with odd discriminant
2022
Jigu Kim
Yoshinori Mizuno
+
Congruences on the class numbers of $\mathbb{Q}(\sqrt{\pm 2p})$ for $p\equiv3$ $(\text{mod }4)$ a prime
2022
Jigu Kim
Yoshinori Mizuno
+
PDF
Chat
Distribution of root numbers of Hecke characters attached to some elliptic curves
2021
Keunyoung Jeong
Jigu Kim
Tae-Kyung Kim
+
$p$-adic Properties for Taylor Coefficients of Half-integral Weight Modular Forms on $Γ_1(4)$
2021
Jigu Kim
Yoonjin Lee
+
PDF
Chat
Class number problem for a family of real quadratic fields
2021
Dongho Byeon
Jigu Kim
+
Class numbers of real quadratic fields
2020
Dongho Byeon
Jigu Kim
+
Distribution of root numbers of Hecke characters attached to some elliptic curves
2020
Keunyoung Jeong
Jigu Kim
Tae-Kyung Kim
+
An explicit lower bound for special values of Dirichlet L-functions II
2019
Dongho Byeon
Jigu Kim
+
An explicit lower bound for special values of Dirichlet L-functions
2018
Dongho Byeon
Jigu Kim
Common Coauthors
Coauthor
Papers Together
Yoshinori Mizuno
4
Dongho Byeon
4
Yoonjin Lee
4
Keunyoung Jeong
2
Tae-Kyung Kim
2
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
The class number of quadratic fields and the conjectures of Birch and Swinnerton-Dyer
1976
Dorian Goldfeld
4
+
The general theory of Dirichlet's series
1915
G. H. Hardy
3
+
Iwasawa theory for the symmetric square of an elliptic curve.
1987
Carsten Schmidt
John D. Coates
3
+
PDF
Chat
Über die Classenzahl quadratischer Zahlkörper
1935
Carl Ludwig Siegel
3
+
Formes modulaires et fonctions zêta p-adiques
2009
Jean-Pierre Serre
3
+
Über die Bestimmung der Grundeinheit gewisser reell-quadratischer Zahlkörper
1958
GÜnteR Von Degert
3
+
An explicit lower bound for special values of Dirichlet L-functions
2018
Dongho Byeon
Jigu Kim
3
+
PDF
Chat
Computing the Modular Degree of an Elliptic Curve
2002
Mark E. Watkins
3
+
Congruences for Γ1(4)-modular forms of half-integral weight
2006
Alexandru Tupan
2
+
PDF
Chat
Point counting on reductions of CM elliptic curves
2009
Karl Rubin
Alice Silverberg
2
+
The Arithmetic of Elliptic Curves
2009
Joseph H. Silverman
2
+
Good Reduction of Abelian Varieties
1968
Jean-Pierre Serre
John Tate
2
+
Historical remark on a theorem of Zhang and Yue
2014
Kenneth S. Williams
2
+
PDF
Chat
Introduction to Elliptic Curves and Modular Forms
1993
Neal Koblitz
2
+
Quadratic Gauss Sums
1998
Oumar D. Mbodj
2
+
PDF
Chat
Periodicities for Taylor coefficients of half-integral weight modular forms
2020
Pavel Guerzhoy
Michael H. Mertens
Larry Rolen
2
+
PDF
Chat
Computing Power Series Expansions of Modular Forms
2014
John Voight
John M. Willis
2
+
Taylor coefficients of the Jacobi θ3(q) function
2020
Tanay Wakhare
Christophe Vignat
2
+
PDF
Chat
Congruences relating class numbers of quadratic orders and Zagier's sums
2021
Yoshinori Mizuno
2
+
PDF
Chat
Genus character L‐functions of quadratic orders and class numbers
2020
Masanobu Kaneko
Yoshinori Mizuno
2
+
A First Course in Modular Forms
2005
Fred Diamond
Jerry Shurman
2
+
PDF
Chat
Modular forms and differential operators
1994
Don Zagier
2
+
On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
2001
Christophe Breuil
Brian Conrad
Fred Diamond
Richard Taylor
2
+
p-Adic congruences and modular forms of half integer weight
1986
Neal Koblitz
2
+
Modular Elliptic Curves and Fermat's Last Theorem
1995
Andrew Wiles
2
+
Some congruences connecting quadratic class numbers with continued fractions
2019
Weidong Cheng
Xuejun Guo
2
+
Das asymptotische Verhalten von Summen �ber multiplikative Funktionen
1961
Eduard Wirsing
2
+
Advanced Topics in the Arithmetic of Elliptic Curves
1994
Joseph H. Silverman
2
+
Quasi-valuations extending a valuation
2012
Shai Sarussi
2
+
The evaluation of Gauss sums for characters of 2-power order
2003
Paulien C. Meijer
Marcel van der Vlugt
2
+
PDF
Chat
Integers without divisors from a fixed arithmetic progression
2008
William D. Banks
John Friedlander
Florian Luca
2
+
Fundamental units of real quadratic fields of odd class number
2014
Zhe Zhang
Qin Yue
2
+
Elliptic Modular Forms and Their Applications
2008
Don Zagier
2
+
Nombres de classes des corps quadratiques imaginaires
1984
Joseph Oesterlé
2
+
Gauss sums and elliptic functions: II. The quartic sum
1979
Christopher R. Matthews
2
+
PDF
Chat
Congruence properties of Taylor coefficients of modular forms
2014
Hannah Larson
Geoffrey Smith
2
+
Romik's conjecture for the Jacobi theta function
2020
Tanay Wakhare
2
+
Extremal primes for elliptic curves with complex multiplication
2016
Kevin James
Paul Pollack
2
+
Quadratic Irrationals
2013
Franz Halter‐Koch
2
+
On the distance between consecutive prime ideal numbers in sectors
1983
M. Maknys
2
+
Merten's theorem for arithmetic progressions
1974
Kenneth S. Williams
2
+
PDF
Chat
Congruences modulo primes of the Romik sequence related to the Taylor expansion of the Jacobi theta constant $$\theta _3$$
2020
Robert Scherer
2
+
The weight in Serre's conjectures on modular forms
1992
Bas Edixhoven
1
+
A tameness criterion for Galois representations associated to modular forms (mod p)
1990
Benedict H. Gross
1
+
PDF
Chat
Introduction to Analytic Number Theory
1976
Tom M. Apostol
1
+
Heegner point computations
1994
Noam D. Elkies
1
+
PDF
Chat
On real quadratic fields
1987
Gilles Lachaud
1
+
Das asymptotische Verhalten von Summen über multiplikative Funktionen. II
1967
Eduard Wirsing
1
+
PDF
Chat
All congruent numbers less than $40000$
1998
Fidel R. Nemenzo
1
+
Explicit lower bounds on the modular degree of an elliptic curve
2004
Mark E. Watkins
1