In mathematics, the Carlitz exponential is a characteristic p analogue to the usual exponential function studied in real and complex analysis. It is used...
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portal Carlitz exponential, a characteristic p analogue Double exponential function – Exponential function of an exponential function Exponential field –...
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Leonard Carlitz (December 26, 1907 – September 17, 1999) was an American mathematician. Carlitz supervised 44 doctorates at Duke University and published...
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Drinfeld module (redirect from Carlitz module)
Goss (1996) for more information about the Carlitz module. See also Carlitz exponential. Suppose that X is a curve over the finite field Fp. A (right) shtuka...
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chain Triangular decomposition Sturm's theorem Descartes' rule of signs Carlitz–Wan conjecture Polynomial decomposition, factorization under functional...
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Generalizations of the derivative (redirect from Carlitz derivative)
completely satisfactory analog of the first-order derivative or gradient. The Carlitz derivative is an operation similar to usual differentiation but with the...
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In mathematics, a Kloosterman sum is a particular kind of exponential sum. They are named for the Dutch mathematician Hendrik Kloosterman, who introduced...
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2002 (550): 125–140. CiteSeerX 10.1.1.6.9538. doi:10.1515/crll.2002.069. Carlitz, Leonard (1957). "A Note on the Bessel Polynomials". Duke Math. J. 24 (2):...
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(Qi'an Guan and Xiangyu Zhou, 2015) Torsion conjecture (Loïc Merel, 1996) Carlitz–Wan conjecture (Hendrik Lenstra, 1995) Serre's nonnegativity conjecture...
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the Lagrange inversion theorem. MMT was also popularized by Carlitz who found an exponential power series version. In 1962, Good found a short proof of...
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polynomials, up to elementary changes of variables. Further see the Tricomi–Carlitz polynomials. The Laguerre polynomials arise in quantum mechanics, in the...
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Eulerian polynomials A n ( t ) {\displaystyle A_{n}(t)} are defined by the exponential generating function ∑ n = 0 ∞ A n ( t ) x n n ! = t − 1 t − e ( t − 1...
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(1827), Vorlesungen über die höhere Mathematik, vol. 1, Vienna: Carl Gerold Carlitz, L. (1968), "Bernoulli Numbers", Fibonacci Quarterly, 6: 71–85 Agoh, Takashi;...
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{\displaystyle {\sqrt {m}}} (H. D. Kloosterman, I. M. Vinogradov, H. Salié, L. Carlitz, S. Uchiyama, A. Weil). The only exception was the special moduli of the...
50 KB (9,409 words) - 23:43, 28 March 2024