Jun-Ichi Igusa

Q: What Schools Are Affiliated With Jun-Ichi Igusa

Jun-Ichi Igusa is affiliated with the following schools: Johns Hopkins University, Kyoto University

Jun-Ichi Igusa's AcademicInfluence.com Rankings

Jun-Ichi Igusa

Mathematics

#4589

World Rank

#6498

Historical Rank

Measure Theory

#1217

World Rank

#1547

Historical Rank

mathematics Degrees

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Mathematics

Why Is Jun-Ichi Igusa Influential?

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According to Wikipedia, Jun-ichi Igusa was a Japanese mathematician who for over three decades was on the faculty at Johns Hopkins University. He is known for his contributions to algebraic geometry and number theory. The Igusa zeta-function, the Igusa quartic, Igusa subgroups, Igusa curves, and Igusa varieties are named after him.

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Jun-Ichi Igusa's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Arithmetic Variety of Moduli for Genus Two (1960) (389)
On Siegel modular forms of genus tw o (1962) (352)
Equations Defining Abelian Varieties (1972) (313)
An Introduction to the Theory of Local Zeta Functions (2007) (281)
ON THE GRADED RING OF THETA-CONSTANTS.* (1964) (197)
Modular Forms and Projective Invariants (1967) (193)
ON SIEGEL MODULAR FORMS OF GENUS TWO (II).1 (1964) (186)
Complex powers and asymptotic expansions. II. (1975) (153)
A Classification of Spinors Up to Dimension Twelve (1970) (141)
KRONECKERIAN MODEL OF FIELDS OF ELLIPTIC MODULAR FUNCTIONS.* 1 (1959) (118)
A desingularization problem in the theory of Siegel modular functions (1967) (97)
Fibre Systems of Jacobian Varieties: (III. Fibre Systems of Elliptic Curves) (1959) (97)
Lectures on Forms of Higher Degree (1979) (90)
On the Ring of Modular Forms of Degree Two Over Z (1979) (89)
CLASS NUMBER OF A DEFINITE QUATERNION WITH PRIM DISCRIMINANT. (1958) (83)
On the irreducibility of Schottky's divisor (1982) (76)
Fibre Systems of Jacobian Varieties (1956) (72)
On the algebraic theory of elliptic modular functions (1968) (70)
Schottky’s Invariant and Quadratic Forms (1981) (70)
Complex powers and asymptotic expansions. I. Functions of certain types. (1974) (68)
ON JACOBI'S DERIVATIVE FORMULA AND ITS GENERALIZATIONS* (1980) (64)
ON SOME PROBLEMS IN ABSTRACT ALGEBRAIC GEOMETRY. (1955) (59)
Some Results on p-Adic Complex Powers (1984) (51)
On the Structure of a Certain Class of Kaehler Varieties (1954) (50)
BETTI AND PICARD NUMBERS OF ABSTRACT ALGEBRAIC SURFACES. (1960) (47)
On functional equations of complex powers (1986) (44)
SOME OBSERVATIONS ON HIGHER DEGREE CHARACTERS1 (1977) (40)
ON THE ARITHMETIC NORMALITY OF THE GRASSMANN VARIETY. (1954) (40)
Universal p-adic Zeta Functions and Their Functional Equations (1989) (35)
A Stationary Phase Formula for p-ADIC Integrals and its Applications (1994) (32)
Problems on Abelian functions at the time of Poincaré and some at present (1982) (31)
On a certain class of prehomogeneous vector spaces (1987) (30)
ON THE ARITHMETIC OF A SINGULAR INVARIANT (1988) (24)
A FUNDAMENTAL INEQUALITY IN THE THEORY OF PICARD VARIETIES. (1955) (23)
On the Transformation Theory of Elliptic Functions (1959) (23)
Complex Analysis and Algebraic Geometry: On the First Terms of Certain Asymptotic Expansions (1977) (22)
Some Aspects of the Arithmetic Theory of Polynomials (1987) (21)
On the Picard Varieties Attached to Algebraic Varieties (1952) (19)
b-Functions and p-adic Integrals (1988) (19)
ZETA DISTRIBUTIONS ASSOCIATED WITH SOME INVARIANTS (1987) (19)
On certain representations of semi-simple algebraic groups and the arithmetic of the corresponding invariants (1) (1971) (17)
On a Theorem of Lueroth (1951) (16)
Multiplicity One Theorem and Problems Related to Jacobi's Formula (1983) (13)
Local Zeta Functions of Certain Prehomogeneous Vector Spaces (1992) (13)
On a certain poisson formula (1974) (11)
On a Property of the Domain of Regularity. (1952) (11)
Fibre Systems of Jacobian Varieties: (II. Local Monodromy Groups of Fibre Systems) (1956) (10)
COHOMOLOGY THEORY OF VARIETIES OVER RINGS. (1958) (9)
On Lie Algebras Generated by Two Differential Operators (1981) (9)
On a property of commutators in the unitary group. (1950) (9)
Abstract vanishing cycle theory (1958) (8)
On the Variety Associated with the Ring of Thetanullwerte (1981) (8)
On the Arithmetic of Pfaffians (1972) (8)
On Siegel Modular Forms of Genus Two ( II ) Author ( s ) : (2007) (7)
ARITHMETIC GENERA OF NORMAL VARIETIES IN AN ALGEBRAIC FAMILY. (1955) (7)
A Poisson formula and exponential sums (1976) (6)
Some Observations on the Siegel Formula (1970) (6)
ANALYTIC GROUPS OVER COMPLETE FIELDS. (1956) (6)
Harmonic analysis and theta-functions (1968) (5)
On the Theory of Algebraic Correspondences and its Application to the Riemann Hypothesis in Function-Fields (1949) (4)
Local zeta functions of general quadratic polynomials (1994) (4)
Vector Valued Siegel Modular Forms of Sym(4) and Sym(6) (2002) (3)
Prehomogeneous vector spaces (2007) (3)
On certain representations of semi-simple algebraic groups (1971) (3)
Exponential sums associated with a Freudenthal quartic : Dedicated to Professor Y. Kawada on his 60th birthday (1977) (2)
Theta Functions from an Analytic Viewpoint (1972) (2)
Graded Rings of Theta Constants (1972) (2)
Some Observations on Metaplectic Groups (1981) (2)
Algebraic Correspondences between Algebraic Varieties (1951) (1)
On the Varieties of the Classical Groups in the Field of Arbitary Characteristic (1952) (1)
Some recent results on complex powers and zeta distribution (1987) (0)
Hironaka’s desingularization theorem (2007) (0)
MATHEMA TICS: J. IGUSA (0)
Modular Forms and Projective Invariants Author ( s ) : (2007) (0)
LOCALLY UNIFORM APPROXIMATIONS AND RIEMANN HYPOTHESES (2022) (0)
Some Remarks on the Theory of Picard Varieties (1951) (0)
A REMARK ON ZETA FUNCTIONS1 (2010) (0)
MOTIVIC HEIGHT ZETA FUNCTIONS By ANTOINE CHAMBERT-LOIR and FRANÇOIS LOESER (2016) (0)
A remark on zeta functions (1978) (0)
Local zeta functions (-adic case) (2007) (0)
ON THE ARITHMETIC OF PFAFFIANS To Chow on his 60lh Birthday (2004) (0)
Some homogeneous polynomials (2007) (0)
LOCALLY UNIFORM APPROXIMATIONS AND RIEMANN HYPOTHESES (REVISED) (2022) (0)
On a problem of Picard concerning symmetric compositums of function-fields (1957) (0)
Implicit function theorems and -analytic manifolds (2007) (0)
Totally disconnected spaces and -adic manifolds (2007) (0)
Archimedean local zeta functions (2007) (0)
On the Algebraic geometry of Chevalley and Weil (1949) (0)
MATHEMATICS: CHOW AND IGUSA (2004) (0)
A remark on the theory of the base (1955) (0)
Theorems of Denef and Meuser (2007) (0)
Normal Point and Tangent Cone of an Algebraic Variety (1952) (0)
Erratum: Theta Functions from a Geometric Viewpoint (2018) (0)
Graded Rings of Theta Functions (1972) (0)
Theta Functions from a Geometric Viewpoint (1972) (0)
A REMARK ON ZETA FUNCTIONS 1 (2010) (0)

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What Schools Are Affiliated With Jun-Ichi Igusa?

Jun-Ichi Igusa is affiliated with the following schools: