Inequalities for inert primes and their applications
2020 ◽
Vol 16
(08)
◽
pp. 1819-1832
Keyword(s):
For any given non-square integer [Formula: see text], we prove Euclid’s type inequalities for the sequence [Formula: see text] of all primes satisfying the Kronecker symbol [Formula: see text], [Formula: see text] and give a new criterion on a ternary quadratic form to be irregular as an application, which simplifies Dickson and Jones’s argument in the classification of regular ternary quadratic forms to some extent.
2017 ◽
Vol 26
(14)
◽
pp. 1750102
◽
Keyword(s):
2018 ◽
Vol 14
(02)
◽
pp. 581-594
◽
1974 ◽
Vol 18
(4)
◽
pp. 388-401
◽
1961 ◽
Vol 2
(2)
◽
pp. 127-132
◽
1952 ◽
Vol 4
◽
pp. 120-128
◽
Keyword(s):
1867 ◽
Vol 157
◽
pp. 255-298
◽
Keyword(s):
2007 ◽
Vol 03
(04)
◽
pp. 541-556
◽
2011 ◽
Vol 07
(06)
◽
pp. 1603-1614
◽