Ralph Duncan James

Ralph Duncan James's AcademicInfluence.com Rankings

Ralph Duncan James

Mathematics

#6815

Historical Rank

Measure Theory

#5436

Historical Rank

mathematics Degrees

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Mathematics

Why Is Ralph Duncan James Influential?

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According to Wikipedia, Ralph Duncan James was a Canadian mathematician working on number theory and mathematical analysis. Born in Liverpool, Ralph moved with his parents to Vancouver, British Columbia when he was 10 years old. After graduating from high school, Ralph attended University of British Columbia. After graduating, he continued in mathematics, writing a master’s thesis on Tangential Coordinates. Proceeding to University of Chicago, he studied number theory and Waring's problem under L. E. Dickson. In 1932 he was a awarded a Ph.D. on the strength of his dissertation Analytical Investigations of Waring's Theorem. He continued post-graduate study, first with E. T. Bell at California Institute of Technology, then in 1934 with G. H. Hardy at Cambridge University. He published in the Transactions of the American Mathematical Society and extended some work of Viggo Brun in 1938.

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Ralph Duncan James'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

Proceedings of the International Congress of Mathematicians (1975) (445)
The Distribution of Integers Represented by Quadratic Forms (1938) (24)
Integrals and summable trigonometric series (1955) (23)
Unique factorization in multiplicative systems (1954) (13)
The Factors of a Square-Free Integer (1968) (9)
Recent progress in the Goldbach problem (1949) (7)
Summable trigonometric series. (1956) (6)
On Waring's Problem for Odd Powers (1934) (4)
Elementary Note on Prime Number Problems of Vinogradoff's Type (1942) (3)
Review: Derrick Henry Lehmer, Guide to Tables in the Theory of Numbers (1942) (2)
The value of the number $g(k)$ in Waring’s problem (1934) (1)
On the sieve method of Viggo Brun (1943) (1)
Review: Carl Ludwig Siegel, Transcendental numbers (1950) (1)
Integers which are not represented by certain ternary quadratic forms (1939) (0)
The Representation of Integers as Sums of Values of Cubic Polynomials. II (0)
Trigonometric Series (R. L. Jeffery) (1959) (0)
The constants in Waring's problem for odd powers (1935) (0)
A Waring Problem for Binary Cubic Forms (1935) (0)
The representation of integers as sums of pyramidal numbers (1934) (0)
A problem in additive number theory (1938) (0)
On the expansion coefficients of the functions ${u \mathord{\left/ {\vphantom {u {{\text{sn}}u}}} \right. \kern-\nulldelimiterspace} {{\text{sn}}u}}$ and ${{u^2 } \mathord{\left/ {\vphantom {{u^2 } {{\text{sn}}^2 u}}} \right. \kern-\nulldelimiterspace} {{\text{sn}}^2 u}}$ (1934) (0)
Tangential co-ordinates (0)
On a Diophantine Equation of the Fourth Degree (1938) (0)
Book Review: Guide to Tables in the Theory of Numbers (1942) (0)
On the Number of Representations of an Integer as a Sum of 2h Squares (1936) (0)
Note on formulas for the number of representations of an integer as a sum of $2h$ squares (1936) (0)

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