等差数列中素数Dirichlet定理中的“character“概念
The concept of "character" in Dirichlet's theorem on primes in an arithmetic progression
摘要:
1837年,狄利克雷证明了在任何等差数列中有无穷多个素数,其中的项并不都共享一个公共因子。我们调查的隐含和明确使用的狄利克雷字符在介绍狄利克雷的证明在十九世纪和二十世纪初,着眼于了解一些务实的压力,塑造了现代数学方法的演变。
英文摘要:
In 1837, Dirichlet proved that there are infinitely many primes in any arithmetic progression in which the terms do not all share a common factor. We survey implicit and explicit uses of Dirichlet characters in presentations of Dirichlet's proof in the nineteenth and early twentieth centuries, with an eye towards understanding some of the pragmatic pressures that shaped the evolution of modern mathematical method.
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