Ick Sun Eum

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All published works

Action	Title	Year	Authors
+	Representations of Bell quinary quadratic forms	2024	Ick Sun Eum Kyoungmin Kim
+	On some representation numbers by $$a\sum x_i^2+b\sum x_ix_j$$ representing one	2024	Ick Sun Eum
+ PDF Chat	On average theta functions of certain quadratic forms as sums of Eisenstein series	2023	Ick Sun Eum
+	On the representation numbers satisfying partially multiplicative relations	2021	Ick Sun Eum
+ PDF Chat	On some automorphic properties of Galois traces of class invariants from generalized Weber functions of level 5	2019	Ick Sun Eum Ho Yun Jung
+	Composition law and complex multiplication	2019	Ick Sun Eum Ho Yun Jung Ja Kyung Koo Dong Hwa Shin
+ PDF Chat	Binary quadratic forms and ray class groups	2019	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	A congruence relation of the Catalan-Mersenne numbers	2018	Ick Sun Eum
+	Representations by some quinary quadratic forms of level 8	2018	Ick Sun Eum
+	On some extension of Gauss' work and applications (II)	2018	Ick Sun Eum Ho Yun Jung Ja Kyung Koo Dong Hwa Shin
+ PDF Chat	DETERMINATION OF THE FRICKE FAMILIES	2016	Ick Sun Eum Dong Hwa Shin
+ PDF Chat	Some applications of eta-quotients	2016	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+ PDF Chat	Some applications of modular units	2015	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	Primitive generators of certain class fields	2015	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	Determination of the Fricke families	2015	Ick Sun Eum Dong Hwa Shin
+	Determination of the Fricke families	2015	Ick Sun Eum Dong Hwa Shin
+ PDF Chat	Ring class invariants over imaginary quadratic fields	2014	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	The Riemann hypothesis and an upper bound of the divisor function for odd integers	2014	Ick Sun Eum Ja Kyung Koo
+	On some applications of Eisenstein series	2014	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	Some applications of eta-quotients	2014	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	Some applications of eta-quotients	2014	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	Some applications of modular units	2012	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	Some applications of modular units	2012	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	Representations by <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mi>x</mml:mi><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:mn>2</mml:mn><mml:msubsup><mml:mi>x</mml:mi><mml:mn>2</mml:mn><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mn>3</mml:mn><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mn>4</mml:mn><mml:mn>2</mml:mn></mml:…	2011	Ick Sun Eum Dong Hwa Shin Dong Sung Yoon
+	Representations by $x_1^2+2x_2^2+x_3^2+x_4^2+x_1x_3+x_1x_4+x_2x_4$	2011	Ick Sun Eum Dong Hwa Shin Dong Sung Yoon
+	Representations by $x_1^2+2x_2^2+x_3^2+x_4^2+x_1x_3+x_1x_4+x_2x_4$	2011	Ick Sun Eum Dong Hwa Shin Dong Sung Yoon
+ PDF Chat	A modularity criterion for Klein forms, with an application to modular forms of level 13	2010	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	A modularity criterion for Klein forms, with an application to modular forms of level $13$	2010	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	A modularity criterion for Klein forms, with an application to modular forms of level $13$	2010	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	Ring class invariants over imaginary quadratic fields	2010	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin
+	ON SOME RING CLASS INVARIANTS OVER IMAGINARY QUADRATIC FIELDS (II)	2009	Ick Sun Eum Kyung Koo Dong Hwa Shin

Common Coauthors

Coauthor	Papers Together
Dong Hwa Shin	23
Ja Kyung Koo	17
Dong Sung Yoon	3
Ho Yun Jung	2
Kyoungmin Kim	1
Kyung Koo	1
Ho Yun Jung	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On some arithmetic properties of Siegel functions	2008	Ja Kyung Koo Dong Hwa Shin	10
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	10
+ PDF Chat	Primes of the form x2 + ny2: Fermat, class field theory, and complex multiplication	1990	David A. Cox	7
+	The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series	2003	Ken Ono	5
+	Basic Hypergeometric Series and Applications.	1990	Ranjan Roy N. J. Fine	5
+ PDF Chat	Introduction to Elliptic Curves and Modular Forms	1993	Neal Koblitz	4
+	Algebraic Number Fields	1995	Gerald J. Janusz	4
+	Some Applications of Kronecker's Limit Formulas	1964	K. Ramachandra	3
+ PDF Chat	Class invariants by Shimura's reciprocity law	1999	Alice Gee	3
+ PDF Chat	On some Fricke families and application to the Lang–Schertz conjecture	2016	Ho Yun Jung Ja Kyung Koo Dong Hwa Shin	3
+	On some applications of Eisenstein series	2014	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin	3
+	The representation of integers as sums of squares	2002	Goro Shimura	2
+ PDF Chat	Algebraic integers as special values of modular units	2011	Ja Kyung Koo Dong Hwa Shin Dong Sung Yoon	2
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	2
+	Dimensions des espaces de formes modulaires	1977	Henri Cohen J. Oesterlé	2
+	Primes of the form <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>n</mml:mi><mml:msup><mml:mi>y</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> with conditions <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi>x</mml:mi><mml:mo>≡</mml:mo><mml:mn>1</mml:mn><mml:mspace width="0.25em" /><mml:mi mathvariant="normal">mod</…	2009	Bumkyu Cho	2
+	Modular forms arising from divisor functions	2009	Bumkyu Cho Daeyeoul Kim Ja Kyung Koo	2
+	Modular Forms with Integral and Half-Integral Weights	2012	Xueli Wang Dingyi Pei	2
+	Class Field Theory	1986	Jürgen Neukirch	2
+ PDF Chat	Modular Forms, a Computational Approach	2007	William Stein	2
+	Singular values of principal moduli	2012	Ja Kyung Koo Dong Hwa Shin	2
+	Algebraic number-fields	1995	André Weil	2
+	Neue Begründung der komplexen Multiplikation. Erster Teil: Einordnung in die allgemeine Klassenkörpertheorie.	1927	Helmut Hasse	2
+	Elliptic Functions	1987	Serge Lang	2
+	Multiplicative Number Theory I	2006	Hugh L. Montgomery Robert C. Vaughan	2
+	Herleitung des Euler-Produktes der Zetafunktion und einigerL-Reihen aus ihrer Funktionalgleichung	1944	E. Hecke	2
+	Representations by <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mi>x</mml:mi><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:mn>2</mml:mn><mml:msubsup><mml:mi>x</mml:mi><mml:mn>2</mml:mn><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mn>3</mml:mn><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mn>4</mml:mn><mml:mn>2</mml:mn></mml:…	2011	Ick Sun Eum Dong Hwa Shin Dong Sung Yoon	2
+	Topics in Classical Automorphic Forms	1997	Henryk Iwaniec	2
+ PDF Chat	Arithmetic of the modular function $j_{1,4}$	1998	Chang Bum Kim Ja Koo	2
+	Spaces of modular forms generated by eta-quotients	2007	Dong‐Soo Choi	2
+ PDF Chat	Primes of the form x2 + ny2: Fermat, class field theory, and complex multiplication	1997		2
+ PDF Chat	A modularity criterion for Klein forms, with an application to modular forms of level 13	2010	Ick Sun Eum Ja Kyung Koo Dong Hwa Shin	2
+	Algebraic Number Theory	1994	Serge Lang	2
+	Theta functions with complex multiplication	1976	Goro Shimura	1
+	History of the Theory of Numbers	1919	L. E. Dickson	1
+	Ideal composition in quadratic fields: from Bhargava to Gauss	2012	Duncan A. Buell	1
+ PDF Chat	Sur la formule de Siegel dans la théorie des groupes classiques	1965	André Weil	1
+ PDF Chat	PRINCIPAL MODULI AND CLASS FIELDS	2003	David A. Cox John McKay Peter Stevenhagen	1
+ PDF Chat	Generalised Weber functions	2014	Andreas Enge François Morain	1
+	Modular forms of weight 1/2	1977	J-P. Serre H. Stärk	1
+ PDF Chat	Primitive and Totally Primitive Fricke Families with Applications	2016	Ho Yun Jung Ja Kyung Koo Dong Hwa Shin	1
+	Heegner points and derivatives ofL-series. II	1987	Benedict H. Gross Winfried Kohnen Don Zagier	1
+	Advanced Topics in Computational Number Theory	2011	Henri Cohen	1
+ PDF Chat	Higher composition laws II: On cubic analogues of Gauss composition	2004	Manjul Bhargava	1
+	Petites valeurs de la fonction d'Euler	1983	Jean-Louis Nicolas	1
+	Modularity of Galois traces of class invariants	2011	Daeyeol Jeon Soon-Yi Kang Chang Heon Kim	1
+ PDF Chat	Higher composition laws I: A new view on Gauss composition, and quadratic generalizations	2004	Manjul Bhargava	1
+ PDF Chat	On Robin’s criterion for the Riemann hypothesis	2007	YoungJu Choie Nicolas Lichiardopol Pieter Moree Patrick Solé	1
+ PDF Chat	An introduction to the theory of numbers	1960	G. H. Hardy	1
+	Twists of newforms and pseudo-eigenvalues ofW-operators	1978	A. O. L. Atkin W Li	1