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费尔马大定理【Fermat’s Last Theorem 】研究资料集锦

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费尔马大定理【Fermat’s Last Theorem 】研究资料集锦

数论天使创建于2012-09-01 最后编辑: 2012-09-01 17:55 1,229阅读 4人收藏
本豆单收集与费尔马大定理【Fermat’s Last Theorem 】有关的原始原创论文、综述、会议论文集等。
共 20 个文档
A class of Diophantine equations involving Bernoulli polynomials 15p
pdf A class of Diophantine equations involving Bernoulli poly..
A class of Diophantine equations involving Bernoulli polynomials
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201103.3907v1 On Lerch´s formula for the Fermat quotient 20p
pdf 201103.3907v1 On Lerch´s formula for the Fermat quo..
This paper explores some previously-unrecognized consequences of Lerch´s 1905 formula for the Fermat quotient, with special attention to the sums which..
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201011.6283v1 Turning Washington´s heuristics in favor of Vandiver´s conjecture 8p
pdf 201011.6283v1 Turning Washington´s heuristics in fa..
A famous conjecture bearing the name of Vandiver states that $p \nmid h_p^+$ in the $p$ - cyclotomic extension of $\Q$. Heuristics arguments of Washingt..
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aa7114_Connection between the Wieferich congruence and divisibility of h 10p
pdf aa7114_Connection between the Wieferich congruence and di..
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201010.2712v1 Residues of functions of Cayley-Dickson variables and Fermat´s last theorem 27p
pdf 201010.2712v1 Residues of functions of Cayley-Dickson var..
Function theory of Cayley-Dickson variables is applied to Fermat´s last theorem. For this the homotopy theorem, Rouché´s theorem and resid..
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201101.1152v1 On prime values of cyclotomic polynomials 7p
pdf 201101.1152v1 On prime values of cyclotomic polynomials
We find necessary and sufficient conditions on $n$ so that Φk(x^n) is irreducible where Φk is the k-th cyclotomic polynomial.
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aa7643_Fermat quotient of cyclotomic units 24p
pdf aa7643_Fermat quotient of cyclotomic units
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201005.0315v3 The Repulsion Motif in Diophantine Equations 17p
pdf 201005.0315v3 The Repulsion Motif in Diophantine Equatio..
Problems related to the existence of integral and rational points on cubic curves date back at least to Diophantus. A significant step in the modern theo..
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aa8631_Some diophantine equations of the form x^n y^n = z^m 13p
pdf aa8631_Some diophantine equations of the form x^n y^n = ..
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aa8443_Arithmetic of cyclic quotients of the Fermat quintic 10p
pdf aa8443_Arithmetic of cyclic quotients of the Fermat quint..
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aa4513_On Fermat´s last theorem 5p
pdf aa4513_On Fermat´s last theorem
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aa3622_Some remarks on Fermat´s conjecture 3p
pdf aa3622_Some remarks on Fermat´s conjecture
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201104.3909v1 Fermat quotients - Exponential sums, value set and primitive roots 16p
pdf 201104.3909v1 Fermat quotients - Exponential sums, value ..
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201104.3910v1 On vanishing Fermat quotients and a bound of the Ihara sum 10p
pdf 201104.3910v1 On vanishing Fermat quotients and a bound o..
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201003.3160v1 Note on the diophantine equation X^t+Y^t=BZ^t 6p
pdf 201003.3160v1 Note on the diophantine equation X^t+Y^t=B..
In this paper, we obtain new results on the integers solutions X, Y, Z of the diophantine equation X^t+Y^t=BZ^t for a rationnal integer B and a prime numb..
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