Hans Frederick Blichfeldt | Academic Influence

Hans Frederick Blichfeldt's AcademicInfluence.com Rankings

Hans Frederick Blichfeldt

Mathematics

#4182

Historical Rank

Group Theory

#75

Historical Rank

Algebra

#267

Historical Rank

Measure Theory

#4274

Historical Rank

mathematics Degrees

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Mathematics

Hans Frederick Blichfeldt's Degrees

PhD Mathematics University of Chicago

Why Is Hans Frederick Blichfeldt Influential?

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According to Wikipedia, Hans Frederick Blichfeldt was a Danish-American mathematician at Stanford University, known for his contributions to group theory, the representation theory of finite groups, the geometry of numbers, sphere packing, and quadratic forms. He is the namesake of Blichfeldt's theorem.

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Hans Frederick Blichfeldt'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

Theory and applications of finite groups (126)
The minimum values of positive quadratic forms in six, seven and eight variables (1935) (99)
The minimum value of quadratic forms, and the closest packing of spheres (1929) (97)
A new principle in the geometry of numbers, with some applications (1914) (85)
A theorem concerning the invariants of linear homogeneous groups, with some applications to substitution-groups (1904) (39)
Blichfeldt’s finite collineation groups (1918) (26)
The finite, discontinuous, primitive groups of collineations in three variables (1905) (18)
On the order of linear homogeneous groups (1903) (16)
A new upper bound to the minimum value of the sum of linear homogeneous forms (1936) (8)
The finite, discontinuous primitive groups of collineations in four variables (7)
Note on the minimum value of the discriminant of an algebraic field (1939) (7)
Report on the theory of the geometry of numbers (1919) (7)
On Triangles with Rational Sides and Having Rational Areas (6)
On the Order of Linear Homogeneous Groups (Second Paper) (1904) (6)
Demonstrations of a Pair of Theorems in Geometry (1901) (2)
Proof of a Theorem Concerning Isosceles Triangles (1902) (2)
Note on the functions of the form ()≡()+₁ⁿ⁻¹+₂ⁿ⁻²+\cdots+_{} which in a given interval differ the least possible from zero (2)
On the Order of Linear Homogeneous Groups: (Fourth Paper) (1)
On the order of linear homogeneous groups (supplement) (1906) (1)
Theorems on simple groups (1)
On the determination of the distance between two points in space of $n$ dimensions (1902) (1)
Note on the Functions of the Form f(x) ≡φ(x) + a 1 x n-1 + a 2 x n-2 + ⋯+ a n Which in a Given Interval Differ the Least Possible From Zero (1)
On imprimitive linear homogeneous groups (1905) (1)
On a certain class of groups of transformations in space of three dimensions (1900) (1)
Chapter V: The linear groups in three variables (0)
Errata: “A theorem concerning the invariants of linear homogeneous groups with some applications to substitution-groups” [Trans.\ Amer.\ Math.\ Soc. 5 (1904), no. 2, 461–466; 1500684] (1905) (0)
On the Approximate Solutions in Integers of a Set of Linear Equations. (1921) (0)
Note on the functions of the form $f(x)\equiv\phi(x)+a\sb 1x\sp {n-1}+a\sb 2x\sp {n-2}+\cdots+a\sb n$ which in a given interval differ the least possible from zero (0)
Chapter I: Elementary properties of linear groups (0)
On modular groups isomorphic with a given linear group (0)
Chapter VI: The theory of group characteristics (0)
Chapter VIII: On the history and applications of linear groups (0)
On the Functions Representing Distances and Analogous Functions (1903) (0)
Chapter IV: Advanced theory of linear groups (0)
A new determination of the primitive continuous groups in two variables (1901) (0)
Note on a property of the conic sections (1903) (0)
Chapter II: Groups of operators and substitution groups (0)

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