Classification and Enumeration of Real Quadratic Fields Having Exactly One Non-Inert Prime Less Than a Minkowski Bound
Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 108-115
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We will classify those real quadratic fields K having exactly one noninert prime less than where Δ is the discriminant of K. Moreover, we will list all such K and prove that the list is complete with one possible exceptional value remaining (whose existence would be a counterexample to the Riemann hypothesis).
Mollin, R. A.; Williams, H. C. Classification and Enumeration of Real Quadratic Fields Having Exactly One Non-Inert Prime Less Than a Minkowski Bound. Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 108-115. doi: 10.4153/CMB-1993-016-7
@article{10_4153_CMB_1993_016_7,
author = {Mollin, R. A. and Williams, H. C.},
title = {Classification and {Enumeration} of {Real} {Quadratic} {Fields} {Having} {Exactly} {One} {Non-Inert} {Prime} {Less} {Than} a {Minkowski} {Bound}},
journal = {Canadian mathematical bulletin},
pages = {108--115},
year = {1993},
volume = {36},
number = {1},
doi = {10.4153/CMB-1993-016-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-016-7/}
}
TY - JOUR AU - Mollin, R. A. AU - Williams, H. C. TI - Classification and Enumeration of Real Quadratic Fields Having Exactly One Non-Inert Prime Less Than a Minkowski Bound JO - Canadian mathematical bulletin PY - 1993 SP - 108 EP - 115 VL - 36 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-016-7/ DO - 10.4153/CMB-1993-016-7 ID - 10_4153_CMB_1993_016_7 ER -
%0 Journal Article %A Mollin, R. A. %A Williams, H. C. %T Classification and Enumeration of Real Quadratic Fields Having Exactly One Non-Inert Prime Less Than a Minkowski Bound %J Canadian mathematical bulletin %D 1993 %P 108-115 %V 36 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-016-7/ %R 10.4153/CMB-1993-016-7 %F 10_4153_CMB_1993_016_7
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