Eric Temple Bell | Academic Influence

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Eric Temple Bell

Mathematics

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Mathematics

Eric Temple Bell's Degrees

PhD Mathematics Columbia University

Why Is Eric Temple Bell Influential?

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According to Wikipedia, Eric Temple Bell was a Scottish-born mathematician and science fiction writer who lived in the United States for most of his life. He published non-fiction using his given name and fiction as John Taine.

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Eric Temple Bell'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

How to Solve It. A New Aspect of Mathematical Method. (1945) (888)
Science and Sanity. (1934) (449)
Men of Mathematics (1937) (443)
The Philosophy of Mathematics (1950) (268)
The development of mathematics (1941) (179)
The Iterated Exponential Integers (1938) (101)
Review: G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers (1939) (77)
Mathematics: Queen and Servant of Science (1952) (50)
Interpolated Denumerants and Lambert Series (1943) (42)
Postulational Bases for the Umbral Calculus (1940) (32)
The History of Blissard's Symbolic Method, With a Sketch of its Inventor's Life (1938) (28)
The magic of numbers (1947) (20)
Generalized Stirling Transforms of Sequences (1939) (14)
Reciprocal Arrays and Diophantine Analysis (1933) (13)
The Divisors of Numbers (1934) (10)
The queen of the sciences (1932) (10)
An arithmetical theory of certain numerical functions (10)
The last problem (1961) (9)
Arithmetic of logic (1927) (9)
What's the World Coming to? (1952) (8)
Transformations of relations between numerical functions (1927) (8)
The Numbers of Representations of Integers in Certain Forms ax 2 + by 2 + cz 2 (1924) (8)
Notes on Recurring Series of the Third Order (8)
The handmaiden of the sciences (1937) (6)
The Problems of Congruent Numbers and Concordant Forms. (1947) (6)
Invariant Sequences. (1928) (5)
The form $wx + xy + yz + zu$ (1936) (5)
Makers of Mathematics (1948) (5)
Certain invariant sequences of polynomials (1929) (4)
Class Numbers and the Form xy+yz+zx (4)
Analogies between the $u_n$, $v_n$ of Lucas and elliptic functions (1923) (4)
An algebra of sequences of functions, with an application to the Bernoullian functions (4)
Factorability of numerical functions (1931) (3)
On the Real Multiplication of Elliptic Functions (1932) (3)
The class number relations implicit in the Disquisitiones Arithmeticae (1924) (3)
On the number of representations of $2n$ as a sum of $2r$ squares (1919) (3)
The Search of Truth (1935) (2)
Separable Diophantine equations (1945) (2)
Discussions: Note on the Quaternary Quadratic Identity of Hermite (1928) (2)
Rings of Ideals (1931) (2)
Review: Richard Courant and Herbert Robbins, What is Mathematics? (1942) (2)
Umbral symmetric functions and algebraic analogues of the Bernoullian and Eulerian numbers and functions (1924) (2)
Buddha's Advice to Students and Teachers of Mathematics. (1969) (2)
The Time Stream (1946) (2)
PERIODIC RECURRING SERIES. (1930) (2)
A functional equation in arithmetic (1936) (2)
On a Certain Inversion in the Theory of Numbers (2)
Euler's Concordant Forms. (1939) (2)
On the power series for elliptic functions (1934) (2)
A Diophantine Equation (1949) (2)
The Seattle meeting of the San Francisco Section (1920) (2)
On a fundamental formula in the theory of class-number relations (1926) (2)
Remarks on the Preceding Note on Many-Valued Truths (1933) (2)
Doubly Periodic Functions of the Second Kind and the Arithmetical Form xy + zw (1935) (2)
Discussion: On Proofs by Mathematical Induction (1920) (2)
Lagrange and Wilson theorems for the generalized Stirling numbers (1938) (2)
Another Inventor of the Calculus?. (Scientific Books: James Gregory, Tercentenary Memorial Volume) (1940) (2)
The Place of Rigor in Mathematics (1934) (2)
Functional equations for totients (1931) (2)
The Golden and Platinum Proportions (1944) (2)
Square-partition congruences (1923) (2)
Generalizations of the Eight Square and Similar Identities (1925) (1)
Review: G. H. Hardy, P. V. Seshu Aiyar and B. M. Wilson, Collected Papers of Srinivasa Ramanujan (1928) (1)
On Generalizations of the Bernoullian Functions and Numbers (1925) (1)
General relations between Bernoulli, Euler, and allied polynomials (1935) (1)
Discussions: Note on Total Representations as Sums of Squares (1923) (1)
On a general arithmetic formula of Liouville (1921) (1)
Extensions of Dirichlet multiplication and Dedekind inversion (1922) (1)
Einstein's Theory of Relativity. (1926) (1)
The Reciprocal of a Numerical Function (1937) (1)
A Method in Rational Diophantine Analysis. (1944) (1)
Arithmetical paraphrases. II (1921) (1)
A Generalization of Circulants (1928) (1)
Newton after three centuries (1942) (1)
Periodicities in the Theory of Partitions (1922) (1)
A type of inversion of certain series (1948) (1)
The Iron Star (1)
On the Representations of Numbers as Sums of 3, 5, 7, 9, 11 and 13 Squares (1920) (1)
An Elementary Device in Diophantine Analysis (1937) (1)
Arithmetical composition and inversion of functions over classes (1931) (1)
The Elementary Theory of Numbers (1949) (1)
Discussions: Integral Bases (1928) (1)
Polynomial Diophantine systems (1933) (1)
Polynomial approximations for elliptic functions (1938) (1)
Compound Multiplicative Diophantine Systems. (1940) (1)
The Arithmetical Function M(n, f, g) and its Associates Connected with Elliptic Power Series (1936) (1)
The Basic Lemma in Multiplicative Diophantine Analysis (1948) (1)
A Class of Numbers Connected with Partitions (1923) (1)
Mathematics Up-to-Date (1934) (1)
Reductions of enumerations in homogeneous forms (1924) (1)
Non-existence theorems on the number of representations of arbitrary odd integers as sums of $4r$ squares (1929) (1)
Arithmetical Theorems on Lucas Functions and Tchebycheff Polynomials (1935) (1)
Note on the Prime Divisors of the Numerators of Bernoulli's Numbers (1921) (1)
Ternary characteristics of primes (1928) (1)
A Suggestion Regarding Foreign Languages in Mathematics (1933) (1)
Number Theory: 211-214 (1914) (1)
Successive Generalizations in the Theory of Numbers (1927) (1)
A new type of class number relations (1924) (1)
A Laplacian Equation (1932) (1)
Complete class number expansions for certain elliptic theta constants of the third degree (1924) (1)
Arithmetical consequences of a trigonometric identity (1936) (0)
A Type of Universal Arithmetical Forms. (1943) (0)
On the degree of generality of a class of arithmetical identities (1932) (0)
Functions of coprime divisors of integers (1937) (0)
Theta Functions and Arithmetic (1924) (0)
The algebra {ℬ} of parity (1927) (0)
Problems for Solution: 4104-4107 (1944) (0)
On the Arithmetical Applications of the Power Series for Theta Quotients (1926) (0)
Quadratic partitions—I (1931) (0)
Discussions: A Triply Composite Homogeneous Polynomial (1929) (0)
On the Representation of 4t+2 as a Sum of 4sSquares (1929) (0)
Representations in Certain Pure Forms of Degrees Higher Than the Second (1937) (0)
Representations of Integers in Certain Binary, Ternary, Quaternary and Quinary Quadratic Forms and Allied Class Number Relations (1924) (0)
Certain ternary cubic arithmetical forms (1937) (0)
Composition of arithmetical identities (1934) (0)
Mathematics made Human. (Books on Science for Laymen: Mathematics and the Imagination) (1942) (0)
Polynomials on a finite discrete range (1943) (0)
Problems for Solution: 3070-3075 (1924) (0)
Suggested Readings in Connection with “Successive Generalizations in the Theory of Numbers” (1927) (0)
Edward Mann Langley (1933) (0)
Diophantine Equations from Algebraic Invariants and Covariants (1933) (0)
Recurrences for Certain Functions of Partitions (1933) (0)
The general class number relations contained in Jacobi’s theta formula (1926) (0)
A duality for certain difference equations (1939) (0)
Problems for Solution: 4280-4284 (1948) (0)
Numbers of Representations in Certain Quinary Quadratic Forms (0)
Number Theory and Diophantine Analysis: 197-198 (1913) (0)
THE DEMISE OF EUCLID (1947) (0)
Problems for Solution: 3456-3462 (1930) (0)
Dickson on Modern Algebra (1926) (0)
Note on a conjecture due to Euler (1943) (0)
198,201 (Number Theory) (1919) (0)
Recurrent Commutative Vectors (1933) (0)
Note on an Inversion Formula (1936) (0)
B, E Polynomials and their Related Integrals (0)
A Representation of Certain Integer Powers (1945) (0)
A partial isomorph of trigonometry (1919) (0)
Number Theory and Diophantine Analysis: 203-204 (0)
Anharmonic polynomial generalizations of the numbers of Bernoulli and Euler (1922) (0)
Gauss and the Early Development of Algebraic Numbers (1944) (0)
Some remarkable determinants of integers (1918) (0)
Note on a certain type of diophantine system (1941) (0)
XXVI. Parametric solutions for a fundamental equation in the general theory of relativity, with a note on similar equations in dynamics (1920) (0)
On certain quinary quadratic forms (1924) (0)
Problems for Solution: 3017-3024 (1923) (0)
A revision of the Bernoullian and Eulerian functions (1922) (0)
Remark on the Number of Classes of Binary Quadratic Forms of a Given Negative Determinant. (1928) (0)
Commutative Algebraic Inversions (1926) (0)
Analogues for Arithmetical Functions of the Elementary Transcendental Functions (1947) (0)
Addendum on factorability of numerical functions (1931) (0)
Number Theory: 208-210 (1914) (0)
Number Theory and Diophantine Analysis: 199-202 (1913) (0)
Confessions of a Mathematician. (Books on Science for Laymen: A Mathematician's Apology) (1942) (0)
Problems for Solution: [2876-2882] (1921) (0)
Book Review: Researches on Waring's Problem (1936) (0)
Possible Types of Multiplication of Series (1930) (0)
A Class of Polynomlals and Rational Functions in Eight Varlables (0)
Number Theory and Diophantine Analysis: 187-189 (1913) (0)
A partial isomorphism between the functions of Lucas and Weierstrass (1929) (0)
The Latin square, or cyclic, functions (1933) (0)
Dickson's Theory of Numbers (1930) (0)
Certain Completely Solvable Systems of Simultaneous Diophantine Equations (1928) (0)
Problems for Solution: 3909-3912 (1939) (0)
On Class Number Relations Implied by Representations as Sums of an Odd Number of Squares (1926) (0)
201 (Number Theory) (1919) (0)
Logic and Methodology of Science. (Book Reviews: The Limits of Science) (1949) (0)
Multiply Composable Homogeneous Polynomials (0)
The Thanksgiving meeting in Pasadena (1936) (0)
On the number of representations of an integer as a sum or difference of two cubes (1925) (0)
Number Theory: 220-221 (1914) (0)
The Troubled Waters of Mathematics (1935) (0)
Review: B. Niewenglowski, Questions d'Arithmétique (1928) (0)
The Reversion of Class Number Relations and the Total Representation of Integers as Sums of Squares or Triangular Numbers (1921) (0)
Book Review: Questions d'Arithmétique (0)
Three Degeneracies in the Theory of Ternary Quadratic Arithmetical Forms (1930) (0)
On a type of illusory theorem concerning higher indeterminate equations (1931) (0)
Quadratic partitions: paper II (1932) (0)
Ternary arithmetical identities (1935) (0)
ADDRESS OF WELCOME. (1936) (0)
Proof of an arithmetic theorem due to Liouville (1921) (0)
On the Arithmetic of Abelina Functions. (1927) (0)
Universal Rational Functions. (1945) (0)
Review: L. E. Dickson, Researches on Waring's Problem (1936) (0)
Applications of analysis to the arithmetic of higher forms (1923) (0)
Numbers of representations in certain Senary quadratic forms (1930) (0)
A Detail in Kronecker's Program (1936) (0)
Definition and illustrations of new arithmetical group invariants (1920) (0)
Problems for Solutions: [2966-2971] (1922) (0)
The Harmony of the World: What Mathematics Has Meant to Me (1951) (0)
On restricted systems of higher indeterminate equations (1921) (0)
Residues of Certain Binomial Coefficients for Composite Moduli (1930) (0)
A diophantine automorphism (0)
Certain class-number relations implied in the nachlass of Gauss (0)
Methods in Mathematics. (Book Reviews: Psychology of Invention in the Mathematical Field) (1945) (0)
The Real Unit Segment as a Number Field (1930) (0)
Review: P. S. Nazimoff, Applications of the Theory of Elliptic Functions to the Theory of Numbers (0)
Dedekind's Works, Volume I (1930) (0)
Concerning the Method of Number-Pairs (1935) (0)
Singular relations between certain arithmetical functions (1931) (0)
Number Theory: 205-207 (1914) (0)
The Crystal Horde (1952) (0)
Simplicity with Respect to Certain Quadratic Forms. (1930) (0)
Cauchy's cyclotomic function and functional powers (1927) (0)
Obituary: Harry Bateman (1946) (0)
Diophantine Equation Suggested By Elementary Geometry (1947) (0)
Notes on Denumerants (1939) (0)
On Class Number Relations for Bilinear Forms in Four Variables (1923) (0)
Problems for Solution: 3082-3088 (1924) (0)
The Form 2wx + xy + yz + zu + ux (1936) (0)
Theorems on Total Representations as Sums of Square or Triangular Numbers (1929) (0)
On the Enumeration of Proper and Improper Representations in Homogeneous Forms (1920) (0)
Note on Sums of Four Squares (1934) (0)
Further Theta Expansions Useful in Arithmetic (1935) (0)
A New Type of Arithmetical Invariance (0)
Arithmetical equivalents for a remarkable identity between theta functions (1922) (0)
Problems for Solution: 3011-3016 (1923) (0)
The algebraic arithmetic of multiply periodic functions (1927) (0)
Existence theorems on the numbers of representations of odd integers as sums of 4t + 2 squares. (0)
Reduction Formulas for the Number of Representations of Integers in Certain Quadratic Forms (0)
Numerical Functions of Multipartite Integers and Compound Partitions (1927) (0)
Note on An Easier Waring Problem (1936) (0)
An Arithmetical Dual of Kummer's Quartic Surface (0)
Algebraic Identities in the Theory of Numbers (1943) (0)
Applications of the algebras (1927) (0)
Varieties of algebra useful in algebraic arithmetic (1927) (0)
DIAPHEAQMATIO HERNIA (1909) (0)
On Certain Finitely Solvable Equations Between Arithmetical Functions (0)
Solution of a Functional Equation in the Multiplicative Theory of Numbers (1951) (0)
Mankind Creeps Slowly on. (Book Reviews: Science Advances) (1947) (0)
A Class of Polynomials and Rational Functions in Four Variables (1929) (0)
Problems for Solution: 3144-3147, 2672, 2694, 2723-2724 (1925) (0)
An Interpretation of Certain Decomposable Algebraic Forms as Functions of Divisors (0)
Analytic functions in the irregular field of all numerical functions (1930) (0)
An Algebra with Singular Zero (1925) (0)
Note on Functions of R-th Divisors (1931) (0)
Distributivity of Associative Polynomial Compositions (1936) (0)
Book Review: An Introduction to the Theory of Numbers (1939) (0)
Ciaccio's Method for the Demonstration of Lipoids. (0)
The Poetry of Mathematics and Other Essays. The Scripta Mathematica Library. (1935) (0)
National Research Council Report on Algebraic Numbers (0)
Parametric solutions of certain Diophantine equations (1942) (0)
A ray of numerical functions of $r$ arguments (1926) (0)
Reducible diophantine systems (1933) (0)
Science Fiction Handbook: The Writing of Imaginative Fiction (1953) (0)
A Revision of the Algebra of Lucas Functions (1935) (0)
Numbers of representations of integers in a certain triad of ternary quadratic forms (0)
The development of mathematics (bad pp. 420,444,480,486,493,512,536,548,602) (1945) (0)
XXII. On certain functions of two variables and their integrals related to the Bessel coefficients (1926) (0)
An image in four-dimensional lattice space of the theory of the elliptic theta functions (0)
Numerical Functions of [ x ] (1918) (0)

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