The Arithmetic of Polynomials in a Galois Field

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Cite
Carlitz, Leonard. “The Arithmetic of Polynomials in a Galois Field”. American Journal of Mathematics, vol. 54, no. 1, 1932, p. 39, https://doi.org/10.2307/2371075.
Carlitz, L. (1932). The Arithmetic of Polynomials in a Galois Field. American Journal of Mathematics, 54(1), 39. https://doi.org/10.2307/2371075
Carlitz L. The Arithmetic of Polynomials in a Galois Field. American Journal of Mathematics. 1932;54(1):39.
Journal Category
Science
Mathematics
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Citations Analysis
Category Category Repetition
Science: Mathematics32
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods18
Science: Mathematics: Instruments and machines: Electronic computers. Computer science6
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware4
Science: Science (General): Cybernetics: Information theory3
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks3
Technology: Engineering (General). Civil engineering (General)3
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software3
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics2
Science: Physics1
Technology: Technology (General): Industrial engineering. Management engineering: Information technology1
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication1
The category Science: Mathematics 32 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Some arithmetical functions in finite fields and was published in 1970. The most recent citation comes from a 2024 study titled Higher reciprocity law and an analogue of the Grunwald–Wang theorem for the ring of polynomials over an ultra-finite field. This article reached its peak citation in 2018, with 4 citations. It has been cited in 33 different journals. Among related journals, the Finite Fields and Their Applications cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year