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
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