林尼克定理 (Chinese Wikipedia)
Analysis of information sources in references of the Wikipedia article "林尼克定理" in Chinese language version.
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ams.org
- Linnik, Yu. V. On the least prime in an arithmetic progression I. The basic theorem. Rec. Math. (Mat. Sbornik) N.S. 1944, 15 (57): 139–178. MR 0012111.
- Linnik, Yu. V. On the least prime in an arithmetic progression II. The Deuring-Heilbronn phenomenon. Rec. Math. (Mat. Sbornik) N.S. 1944, 15 (57): 347–368. MR 0012112.
- Bombieri, Enrico; Friedlander, John B.; Iwaniec, Henryk. Primes in Arithmetic Progressions to Large Moduli. III. Journal of the American Mathematical Society. 1989, 2 (2): 215–224. JSTOR 1990976. MR 0976723. doi:10.2307/1990976.
- Heath-Brown, Roger. Zero-free regions for Dirichlet L-functions, and the least prime in an arithmetic progression. Proc. London Math. Soc. 1992, 64 (3): 265–338. MR 1143227. doi:10.1112/plms/s3-64.2.265.
- Guy, Richard K. Unsolved problems in number theory. Problem Books in Mathematics 1 Third. New York: Springer-Verlag. 2004: 22. ISBN 978-0-387-20860-2. MR 2076335. doi:10.1007/978-0-387-26677-0.
- Pan, Cheng Dong. On the least prime in an arithmetical progression. Sci. Record. New Series. 1957, 1: 311–313. MR 0105398.
- Chen, Jingrun. On the least prime in an arithmetical progression and two theorems concerning the zeros of Dirichlet's $L$-functions. Sci. Sinica. 1977, 20 (5): 529–562. MR 0476668.
- Graham, S. W. On Linnik's constant. Acta Arith. 1981, 39 (2): 163–179. MR 0639625. doi:10.4064/aa-39-2-163-179.
- Chen, Jingrun. On the least prime in an arithmetical progression and theorems concerning the zeros of Dirichlet's $L$-functions. II. Sci. Sinica. 1979, 22 (8): 859–889. MR 0549597.
- Chen, Jingrun; Liu, Jian Min. On the least prime in an arithmetical progression. III. Science in China Series A: Mathematics. 1989, 32 (6): 654–673. MR 1056044.
- Chen, Jingrun; Liu, Jian Min. On the least prime in an arithmetical progression. IV. Science in China Series A: Mathematics. 1989, 32 (7): 792–807. MR 1058000.
- Wang, Wei. On the least prime in an arithmetical progression. Acta Mathematica Sinica. New Series. 1991, 7 (3): 279–288. MR 1141242. doi:10.1007/BF02583005.
arxiv.org
- Lamzouri, Y.; Li, X.; Soundararajan, K. Conditional bounds for the least quadratic non-residue and related problems. Math. Comp. 2015, 84 (295): 2391–2412. arXiv:1309.3595
. doi:10.1090/S0025-5718-2015-02925-1.
doi.org
- Bombieri, Enrico; Friedlander, John B.; Iwaniec, Henryk. Primes in Arithmetic Progressions to Large Moduli. III. Journal of the American Mathematical Society. 1989, 2 (2): 215–224. JSTOR 1990976. MR 0976723. doi:10.2307/1990976.
- Heath-Brown, Roger. Zero-free regions for Dirichlet L-functions, and the least prime in an arithmetic progression. Proc. London Math. Soc. 1992, 64 (3): 265–338. MR 1143227. doi:10.1112/plms/s3-64.2.265.
- Lamzouri, Y.; Li, X.; Soundararajan, K. Conditional bounds for the least quadratic non-residue and related problems. Math. Comp. 2015, 84 (295): 2391–2412. arXiv:1309.3595 . doi:10.1090/S0025-5718-2015-02925-1.
- Guy, Richard K. Unsolved problems in number theory. Problem Books in Mathematics 1 Third. New York: Springer-Verlag. 2004: 22. ISBN 978-0-387-20860-2. MR 2076335. doi:10.1007/978-0-387-26677-0.
- Graham, S. W. On Linnik's constant. Acta Arith. 1981, 39 (2): 163–179. MR 0639625. doi:10.4064/aa-39-2-163-179.
- Wang, Wei. On the least prime in an arithmetical progression. Acta Mathematica Sinica. New Series. 1991, 7 (3): 279–288. MR 1141242. doi:10.1007/BF02583005.
jstor.org
- Bombieri, Enrico; Friedlander, John B.; Iwaniec, Henryk. Primes in Arithmetic Progressions to Large Moduli. III. Journal of the American Mathematical Society. 1989, 2 (2): 215–224. JSTOR 1990976. MR 0976723. doi:10.2307/1990976.