%0 Journal Article %1 citeulike:3112182 %A Dirichlet, Peter G. %D 2008 %K Vor1850 available-in-tex-format mathematics number-theory pre1850 transcribed-by-rwst %T There are infinitely many prime numbers in all arithmetic progressions with first term and difference coprime %U http://arxiv.org/abs/0808.1408 %X Dirichlet's proof of infinitely many primes in arithmetic progressions was published in 1837, introduced L-series for the first time, and it is said to have started rigorous analytic number theory. Dirichlet uses Euler's earlier work on the zeta function and the distribution of primes. He first proves a simpler case before going to full generality. The paper was translated from German by R. Stephan and given a reference section.

@article{citeulike:3112182, abstract = {Dirichlet's proof of infinitely many primes in arithmetic progressions was published in 1837, introduced L-series for the first time, and it is said to have started rigorous analytic number theory. Dirichlet uses Euler's earlier work on the zeta function and the distribution of primes. He first proves a simpler case before going to full generality. The paper was translated from German by R. Stephan and given a reference section.}, added-at = {2009-08-02T17:14:35.000+0200}, archiveprefix = {arXiv}, author = {Dirichlet, Peter G.}, biburl = {https://www.bibsonomy.org/bibtex/2d3e08fb89d8d9b23d2913975e6b6aa33/rwst}, citeulike-article-id = {3112182}, citeulike-linkout-0 = {http://arxiv.org/abs/0808.1408}, citeulike-linkout-1 = {http://arxiv.org/pdf/0808.1408}, description = {my bookmarks from citeulike}, eprint = {0808.1408}, interhash = {0a01c7b8a418f7a8bb02e62c16c0164c}, intrahash = {d3e08fb89d8d9b23d2913975e6b6aa33}, keywords = {Vor1850 available-in-tex-format mathematics number-theory pre1850 transcribed-by-rwst}, month = Aug, posted-at = {2008-08-12 17:00:10}, priority = {2}, timestamp = {2009-08-06T10:37:47.000+0200}, title = {There are infinitely many prime numbers in all arithmetic progressions with first term and difference coprime}, url = {http://arxiv.org/abs/0808.1408}, year = 2008 }