[1]

N. C. Ankeny,
The least quadratic non residue,
Ann. of Math. (2) 55 (1952), 65–72.
CrossrefGoogle Scholar

[2]

D. A. Burgess,
The distribution of quadratic residues and non-residues,
Mathematika 4 (1957), 106–112.
CrossrefGoogle Scholar

[3]

D. A. Burgess,
On character sums and *L*-series,
Proc. Lond. Math. Soc. (3) 12 (1962), 193–206.
Google Scholar

[4]

D. R. Heath-Brown,
Zero-free regions for Dirichlet *L*-functions, and the least prime in an arithmetic progression,
Proc. Lond. Math. Soc. (3) 64 (1992), no. 2, 265–338.
Google Scholar

[5]

H. Kadiri and N. Ng,
Explicit zero density theorems for Dedekind zeta functions,
J. Number Theory 132 (2012), no. 4, 748–775.
CrossrefWeb of ScienceGoogle Scholar

[6]

J. C. Lagarias and A. M. Odlyzko,
Effective versions of the Chebotarev density theorem,
Algebraic Number Fields: *L*-Functions and Galois Properties (Durham 1975),
Academic Press, London (1977), 409–464.
Google Scholar

[7]

X. Li,
The smallest prime that does not split completely in a number field,
Algebra Number Theory 6 (2012), no. 6, 1061–1096.
CrossrefWeb of ScienceGoogle Scholar

[8]

V. K. Murty,
The least prime which does not split completely,
Forum Math. 6 (1994), no. 5, 555–565.
Google Scholar

[9]

V. K. Murty and V. M. Patankar,
Tate cycles on Abelian varieties with complex multiplication,
Canad. J. Math. 67 (2015), no. 1, 198–213.
CrossrefGoogle Scholar

[10]

J.-P. Serre,
Quelques applications du théorème de densité de Chebotarev,
Publ. Math. Inst. Hautes Ètudes Sci. (1981), no. 54, 323–401.
Google Scholar

[11]

H. M. Stark,
Some effective cases of the Brauer–Siegel theorem,
Invent. Math. 23 (1974), 135–152.
CrossrefGoogle Scholar

[12]

J. Thorner and A. Zaman,
An explicit bound for the least prime ideal in the Chebotarev density theorem,
Algebra Number Theory 11 (2017), no. 5, 1135–1197.
CrossrefWeb of ScienceGoogle Scholar

[13]

J. D. Vaaler and J. F. Voloch,
The least nonsplit prime in Galois extensions of $\mathbf{Q}$,
J. Number Theory 85 (2000), no. 2, 320–335.
Google Scholar

[14]

A. Zaman,
Explicit estimates for the zeros of Hecke *L*-functions,
J. Number Theory 162 (2016), 312–375.
CrossrefWeb of ScienceGoogle Scholar

[15]

A. Zaman,
Analytic estimates for the Chebotarev Density Theorem and their applications,
Ph.D. thesis, University of Toronto, 2017.
Google Scholar

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