Hirakawa, Yoshinosuke; Shimizu, Yosuke Counterexamples to the local-global principle for non-singular plane curves and a cubic analogue of Ankeny-Artin-Chowla-Mordell conjecture. (English) Zbl 1490.11039 Proc. Am. Math. Soc. 150, No. 5, 1821-1835 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 11D41 11D57 11E76 11N32 11R16 PDFBibTeX XMLCite \textit{Y. Hirakawa} and \textit{Y. Shimizu}, Proc. Am. Math. Soc. 150, No. 5, 1821--1835 (2022; Zbl 1490.11039) Full Text: DOI arXiv
Friedrichsen, Matthew; Keliher, Daniel Comparing the density of \(D_4\) and \(S_4\) quartic extensions of number fields. (English) Zbl 1467.11101 Proc. Am. Math. Soc. 149, No. 6, 2357-2369 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11R42 11R29 11R45 PDFBibTeX XMLCite \textit{M. Friedrichsen} and \textit{D. Keliher}, Proc. Am. Math. Soc. 149, No. 6, 2357--2369 (2021; Zbl 1467.11101) Full Text: DOI arXiv
Dasgupta, Samit; Voight, John Sylvester’s problem and mock Heegner points. (English) Zbl 1431.11043 Proc. Am. Math. Soc. 146, No. 8, 3257-3273 (2018). MSC: 11D25 11G05 11G40 11G15 PDFBibTeX XMLCite \textit{S. Dasgupta} and \textit{J. Voight}, Proc. Am. Math. Soc. 146, No. 8, 3257--3273 (2018; Zbl 1431.11043) Full Text: DOI arXiv
Ouyang, Yi; Zhang, Shenxing Birch’s lemma over global function fields. (English) Zbl 1369.11042 Proc. Am. Math. Soc. 145, No. 2, 577-584 (2017). Reviewer: Chao Li (New York) MSC: 11G05 11D25 11G40 PDFBibTeX XMLCite \textit{Y. Ouyang} and \textit{S. Zhang}, Proc. Am. Math. Soc. 145, No. 2, 577--584 (2017; Zbl 1369.11042) Full Text: DOI
Harron, Robert The shapes of pure cubic fields. (English) Zbl 1415.11151 Proc. Am. Math. Soc. 145, No. 2, 509-524 (2017). MSC: 11R16 11R45 11E12 PDFBibTeX XMLCite \textit{R. Harron}, Proc. Am. Math. Soc. 145, No. 2, 509--524 (2017; Zbl 1415.11151) Full Text: DOI arXiv
Cass, Robert The Chowla-Selberg formula for quartic abelian CM fields. (English) Zbl 1357.11052 Proc. Am. Math. Soc. 144, No. 7, 2753-2769 (2016). Reviewer: Gabriele Nebe (Aachen) MSC: 11F41 11R42 PDFBibTeX XMLCite \textit{R. Cass}, Proc. Am. Math. Soc. 144, No. 7, 2753--2769 (2016; Zbl 1357.11052) Full Text: DOI Link
Nguyen, Ngoc Dong Quan On the Hasse principle for certain quartic hypersurfaces. (English) Zbl 1232.14012 Proc. Am. Math. Soc. 139, No. 12, 4293-4305 (2011). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 11D25 11G30 11G35 PDFBibTeX XMLCite \textit{N. D. Q. Nguyen}, Proc. Am. Math. Soc. 139, No. 12, 4293--4305 (2011; Zbl 1232.14012) Full Text: DOI
Wong, Siman Densities of quartic fields with even Galois groups. (English) Zbl 1106.11041 Proc. Am. Math. Soc. 133, No. 10, 2873-2881 (2005). Reviewer: Nuria Vila (Barcelona) MSC: 11R45 11R16 11R29 11G05 PDFBibTeX XMLCite \textit{S. Wong}, Proc. Am. Math. Soc. 133, No. 10, 2873--2881 (2005; Zbl 1106.11041) Full Text: DOI
Louboutin, Stéphane The exponent three class group problem for some real cyclic cubic number fields. (English) Zbl 0999.11068 Proc. Am. Math. Soc. 130, No. 2, 353-361 (2002). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R16 11R29 11R42 PDFBibTeX XMLCite \textit{S. Louboutin}, Proc. Am. Math. Soc. 130, No. 2, 353--361 (2002; Zbl 0999.11068) Full Text: DOI
Byeon, Dongho Class number 3 problem for the simplest cubic fields. (English) Zbl 0981.11034 Proc. Am. Math. Soc. 128, No. 5, 1319-1323 (2000). Reviewer: Franz Lemmermeyer (Bonn) MSC: 11R16 11R29 PDFBibTeX XMLCite \textit{D. Byeon}, Proc. Am. Math. Soc. 128, No. 5, 1319--1323 (2000; Zbl 0981.11034) Full Text: DOI
Rizzo, Ottavio G. Average root numbers in families of elliptic curves. (English) Zbl 0944.11019 Proc. Am. Math. Soc. 127, No. 6, 1597-1603 (1999). Reviewer: Federico Pellarin (Paris) MSC: 11G05 14H52 11D25 14H10 PDFBibTeX XMLCite \textit{O. G. Rizzo}, Proc. Am. Math. Soc. 127, No. 6, 1597--1603 (1999; Zbl 0944.11019) Full Text: DOI
Cochrane, Todd Small solutions of cubic congruences. (English) Zbl 0684.10018 Proc. Am. Math. Soc. 106, No. 2, 333-334 (1989). Reviewer: Rainer Schulze-Pillot (Saarbrücken) MSC: 11D79 11D25 11E76 11T99 PDFBibTeX XMLCite \textit{T. Cochrane}, Proc. Am. Math. Soc. 106, No. 2, 333--334 (1989; Zbl 0684.10018) Full Text: DOI
Mollin, R. A. Lower bounds for class numbers of real quadratic and biquadratic fields. (English) Zbl 0632.12006 Proc. Am. Math. Soc. 101, 439-444 (1987). Reviewer: H.Yokoi MSC: 11R11 11R16 11R23 11R80 11D04 PDFBibTeX XMLCite \textit{R. A. Mollin}, Proc. Am. Math. Soc. 101, 439--444 (1987; Zbl 0632.12006) Full Text: DOI
Cohn, Harvey A device for generating fields of even class number. (English) Zbl 0071.03402 Proc. Am. Math. Soc. 7, 595-598 (1956). Reviewer: Z. Suetuna MSC: 11R29 11R20 11R16 PDFBibTeX XMLCite \textit{H. Cohn}, Proc. Am. Math. Soc. 7, 595--598 (1956; Zbl 0071.03402) Full Text: DOI
Cohn, Harvey The density of Abelian cubic fields. (English) Zbl 0055.26901 Proc. Am. Math. Soc. 5, 476-477 (1954). Reviewer: Helmut Hasse MSC: 11R20 11R16 11N45 PDFBibTeX XMLCite \textit{H. Cohn}, Proc. Am. Math. Soc. 5, 476--477 (1954; Zbl 0055.26901) Full Text: DOI