Kurmet Sultan
A generalization of the Euler-Fermat theoremThis note considers the problem of determining, for fixed k and m, all values of r, 0 < r < φ(m), such that k~φ(m)+1 ≡ k~r(mod m). More generally, if k, m and c are given, necessary and sufficient conditions are given for k~...
Fermat’s Little Theorem, Euler’s generalization of Fermat’s statement a... C Walther,N Wasser - 《Journal of Automated Reasoning》 被引量: 2发表: 2017年 循环小数的奇妙性质 Fermat-Euler定理文[1]中叙述了三个‘世界上数学家还没有解决的难题,即所谓世界难题.'本文部分地讨论了第二个问题,发现...
This note considers the problem of determining, for fixed k and m, all values of r, , such that . More generally, if k, m and c are given, necessary and sufficient conditions are given for .doi:10.1080/00207390310001615507Harger*, Robert T....
Most importantly, E271 contains Euler\\u27s generalization of Fermat\\u27s Litt le Theorem and an exploration of the properties of (n). Altogether, this paper includes an Abstract, Introduction, Note to the Readers, Translation of Arithmetic Theorems Proven by a New Method, Epilogue, and ...
Fermat’s little theorem is an important property of integers to a prime modulus. Theorem 1.1 (Fermat). For prime p and any a ∈ Z such that a ≡ 0 mod p, a p−1 ≡ 1 mod p. If we want to extend Fermat’s little theoremto a composite modulus, a false generalization would be...
Elaborated the theory of higher transcendental functions by introducing the gamma function and the gamma density functions. Introduced a new method for solving 4th degree polynomials. Proved Newton's identities, Fermat's little theorem, Fermat's theorem on sums of two squares, and made distinct ...
Euler's forward method Euler's generalization Euler's homogeneous function theorem Euler's Integral Euler's method Euler's numbers Euler's phi function Euler's polyhedron formula Euler's polyhedron theorem Euler's quadratic residue theorem Euler's spiral Euler's summation formula Euler's theorem Eu...
Journey through genius : the great theorems of mathematics series, Euler's formula for the sum of the reciprocals of the squares, Fermat's "Little Theorem", and Cantor's proofs that the continuum is not ... W Dunham 被引量: 250发表: 1990年 Residue formulae for vector partitions and ...
F. W. Clarke, On Dibag’s generalization of von Staudt’s theorem, J. Algebra 141(1991), no. 2, 420–421. MATH MathSciNet Google Scholar F. W. Clarke and I. Sh. Slavutskii, The integrality of the values of Bernoulli. polynomials and of generalized Bernoulli numbers, Bull. London...