Bouw, Irene; Coppola, Nirvana; Kılıçer, Pınar; Kunzweiler, Sabrina; García, Elisa Lorenzo; Somoza, Anna Reduction types of genus-3 curves in a special stratum of their moduli space. (English) Zbl 1506.14058 Cojocaru, Alina Carmen (ed.) et al., Women in numbers Europe III. Research directions in number theory. Selected papers based on the presentations at the 3rd conference, WINE 3, La Hublais, Center in Cesson-Sévigné, Bretagne, France, August 26–30, 2019. Cham: Springer. Assoc. Women Math. Ser. 24, 115-162 (2021). Reviewer: Scott Nollet (Fort Worth) MSC: 14H10 14H50 14H25 11G20 14Q05 PDFBibTeX XMLCite \textit{I. Bouw} et al., Assoc. Women Math. Ser. 24, 115--162 (2021; Zbl 1506.14058) Full Text: DOI arXiv
Lercier, Reynald; Lorenzo García, Elisa; Ritzenthaler, Christophe Stable models of plane quartics with hyperelliptic reduction. (English) Zbl 1519.11035 Ballet, Stéphane (ed.) et al., Arithmetic, geometry, cryptography and coding theory, AGC2T, 17th international conference, Centre International de Rencontres Mathématiques, Marseilles, France, June 10–14, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 770, 223-237 (2021). Reviewer: Sungkon Chang (Savannah) MSC: 11G20 14Q05 14D10 14D20 14H25 PDFBibTeX XMLCite \textit{R. Lercier} et al., Contemp. Math. 770, 223--237 (2021; Zbl 1519.11035) Full Text: DOI arXiv
Aouissi, Siham; Talbi, Mohamed; Mayer, Daniel C.; Ismaili, Moulay Chrif 3-principalization over \(S_3\)-fields. (English) Zbl 1497.11275 Turk. J. Math. 45, No. 5, 2225-2247 (2021). MSC: 11R37 11R29 11R32 11R20 11R16 20D15 20F05 PDFBibTeX XMLCite \textit{S. Aouissi} et al., Turk. J. Math. 45, No. 5, 2225--2247 (2021; Zbl 1497.11275) Full Text: DOI arXiv
Hajjami, Moulay Ahmed; Chems-Eddin, Mohamed Mahmoud On Hilbert genus fields of imaginary cyclic quartic fields. (English) Zbl 1497.11265 Turk. J. Math. 45, No. 4, 1689-1704 (2021). MSC: 11R16 11R29 11R27 11R37 PDFBibTeX XMLCite \textit{M. A. Hajjami} and \textit{M. M. Chems-Eddin}, Turk. J. Math. 45, No. 4, 1689--1704 (2021; Zbl 1497.11265) Full Text: DOI arXiv
Nguyen Xuan Tho What positive integers \(n\) can be presented in the form \(n=(x+y+z)(1/x+1/y+1/z)\)? (English) Zbl 1487.11032 Ann. Math. Inform. 54, 141-146 (2021). MSC: 11D25 11G05 11D88 PDFBibTeX XMLCite \textit{Nguyen Xuan Tho}, Ann. Math. Inform. 54, 141--146 (2021; Zbl 1487.11032) Full Text: DOI
Prodanov, Emil M. Classification of the real roots of the quartic equation and their Pythagorean tunes. (English) Zbl 1499.12001 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 218, 14 p. (2021). MSC: 12D10 26C10 11D41 PDFBibTeX XMLCite \textit{E. M. Prodanov}, Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 218, 14 p. (2021; Zbl 1499.12001) Full Text: DOI arXiv
de Courcy-Ireland, Matthew; Magee, Michael Kesten-McKay law for the Markoff surface mod \(p\). (Loi de Kesten-McKay pour la surface de Markoff modulo \(p\).) (English. French summary) Zbl 1525.11030 Ann. Henri Lebesgue 4, 227-250 (2021). Reviewer: Arthur Baragar (Las Vegas) MSC: 11D25 05C50 11F72 37P25 PDFBibTeX XMLCite \textit{M. de Courcy-Ireland} and \textit{M. Magee}, Ann. Henri Lebesgue 4, 227--250 (2021; Zbl 1525.11030) Full Text: DOI arXiv
Hajdu, G.; Hajdu, L. On the Liouville function on rational polynomial values. (English) Zbl 1498.11194 Acta Arith. 201, No. 2, 119-130 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11N32 11G05 11D09 11D25 PDFBibTeX XMLCite \textit{G. Hajdu} and \textit{L. Hajdu}, Acta Arith. 201, No. 2, 119--130 (2021; Zbl 1498.11194) Full Text: DOI
Byeon, Dongho; Han, Gyeoul Elliptic curves with all quartic twists of the same root number. (English) Zbl 1487.11055 Proc. Japan Acad., Ser. A 97, No. 9, 73-75 (2021). Reviewer: Paul Voutier (London) MSC: 11G05 11G07 PDFBibTeX XMLCite \textit{D. Byeon} and \textit{G. Han}, Proc. Japan Acad., Ser. A 97, No. 9, 73--75 (2021; Zbl 1487.11055)
David, Chantal; Florea, Alexandra; Lalin, Matilde Nonvanishing for cubic \(L\)-functions. (English) Zbl 1495.11099 Forum Math. Sigma 9, Paper No. e69, 58 p. (2021). Reviewer: Thomas Oliver (Nottingham) MSC: 11M06 11M38 11R16 11R58 PDFBibTeX XMLCite \textit{C. David} et al., Forum Math. Sigma 9, Paper No. e69, 58 p. (2021; Zbl 1495.11099) Full Text: DOI arXiv
Loughran, Daniel; Mitankin, Vladimir Integral Hasse principle and strong approximation for Markoff surfaces. (English) Zbl 1485.11106 Int. Math. Res. Not. 2021, No. 18, 14086-14122 (2021). Reviewer: Paul Voutier (London) MSC: 11G25 11D25 14G12 PDFBibTeX XMLCite \textit{D. Loughran} and \textit{V. Mitankin}, Int. Math. Res. Not. 2021, No. 18, 14086--14122 (2021; Zbl 1485.11106) Full Text: DOI arXiv
Li, Min; Han, Maoan On the number of limit cycles of a quartic polynomial system. (English) Zbl 1485.34101 Discrete Contin. Dyn. Syst., Ser. S 14, No. 9, 3167-3181 (2021). Reviewer: Jihua Yang (Guyuan) MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{M. Li} and \textit{M. Han}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 9, 3167--3181 (2021; Zbl 1485.34101) Full Text: DOI
El Fadil, Lhoussain; Ben Yakkou, Hamid; Didi, Jalal On power integral bases of certain pure number fields defined by \(x^{42}-m\). (English) Zbl 1478.11124 Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 81, 10 p. (2021). MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 81, 10 p. (2021; Zbl 1478.11124) Full Text: DOI
Barquero-Sanchez, Adrian; Mantilla-Soler, Guillermo; Ryan, Nathan C. Theta series and number fields: theorems and experiments. (English) Zbl 1476.11075 Ramanujan J. 56, No. 2, 613-630 (2021). MSC: 11F27 11E12 11E76 11R16 PDFBibTeX XMLCite \textit{A. Barquero-Sanchez} et al., Ramanujan J. 56, No. 2, 613--630 (2021; Zbl 1476.11075) Full Text: DOI arXiv
Dey, Pallab Kanti; Roy, Bidisha Torsion groups of Mordell curves over cubic and sextic fields. (English) Zbl 1499.11212 Publ. Math. Debr. 99, No. 3-4, 275-297 (2021). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 11G05 11R04 11R16 11R21 11G20 PDFBibTeX XMLCite \textit{P. K. Dey} and \textit{B. Roy}, Publ. Math. Debr. 99, No. 3--4, 275--297 (2021; Zbl 1499.11212) Full Text: DOI arXiv
Li, Jianing On the 2-adic logarithm of units of certain totally imaginary quartic fields. (English) Zbl 1474.11188 Asian J. Math. 25, No. 2, 177-182 (2021). MSC: 11R27 11R29 PDFBibTeX XMLCite \textit{J. Li}, Asian J. Math. 25, No. 2, 177--182 (2021; Zbl 1474.11188) Full Text: DOI arXiv
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader On the rank of the 2-class group of some imaginary triquadratic number fields. (English) Zbl 1480.11137 Rend. Circ. Mat. Palermo (2) 70, No. 3, 1751-1769 (2021). Reviewer: Claude Levesque (Québec) MSC: 11R11 11R16 11R18 11R27 11R29 PDFBibTeX XMLCite \textit{A. Azizi} et al., Rend. Circ. Mat. Palermo (2) 70, No. 3, 1751--1769 (2021; Zbl 1480.11137) Full Text: DOI arXiv
Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe Reduction type of smooth plane quartics. (English) Zbl 1494.13006 Algebra Number Theory 15, No. 6, 1429-1468 (2021). Reviewer: Sophie Kriz (Ann Arbor) MSC: 13A50 14H10 14H25 14L24 PDFBibTeX XMLCite \textit{R. Lercier} et al., Algebra Number Theory 15, No. 6, 1429--1468 (2021; Zbl 1494.13006) Full Text: DOI arXiv
El Mahi, A.; Ziane, M. The Iwasawa invariant \(\mu\) vanishes for \(\mathbb{Z}_2\)-extensions of certain real biquadratic fields. (English) Zbl 1499.11337 Acta Math. Hung. 165, No. 1, 146-155 (2021). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11R23 11R16 11R21 11R27 11R29 11R32 PDFBibTeX XMLCite \textit{A. El Mahi} and \textit{M. Ziane}, Acta Math. Hung. 165, No. 1, 146--155 (2021; Zbl 1499.11337) Full Text: DOI
Gao, Peng; Zhao, Liangyi Value-distribution of quartic Hecke \(L\)-functions. (English) Zbl 1484.11184 Mosc. J. Comb. Number Theory 10, No. 3, 167-181 (2021). MSC: 11M41 11R42 PDFBibTeX XMLCite \textit{P. Gao} and \textit{L. Zhao}, Mosc. J. Comb. Number Theory 10, No. 3, 167--181 (2021; Zbl 1484.11184) Full Text: DOI arXiv
Kamel, Alwaleed Group generated by total sextactic points of Kuribayashi quartic curve. (English) Zbl 1482.11090 J. Algebra Appl. 20, No. 10, Article ID 2150184, 14 p. (2021). Reviewer: Robin Zhang (Princeton) MSC: 11G30 14H45 14H40 PDFBibTeX XMLCite \textit{A. Kamel}, J. Algebra Appl. 20, No. 10, Article ID 2150184, 14 p. (2021; Zbl 1482.11090) Full Text: DOI
Ben Yakkou, Hamid; El Fadil, Lhoussain On monogenity of certain pure number fields defined by \(x^{p^r}-m\). (English) Zbl 1483.11236 Int. J. Number Theory 17, No. 10, 2235-2242 (2021). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{H. Ben Yakkou} and \textit{L. El Fadil}, Int. J. Number Theory 17, No. 10, 2235--2242 (2021; Zbl 1483.11236) Full Text: DOI arXiv
Karemaker, Valentijn; Marques, Sophie; Sijsling, Jeroen Cubic function fields with prescribed ramification. (English) Zbl 1491.11100 Int. J. Number Theory 17, No. 9, 2019-2053 (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R16 11R58 11R11 14H05 14H10 PDFBibTeX XMLCite \textit{V. Karemaker} et al., Int. J. Number Theory 17, No. 9, 2019--2053 (2021; Zbl 1491.11100) Full Text: DOI arXiv
Barańczuk, Stefan A note on the Diophantine equation \((x^2-1)(y^2-1)=(z^2-1)^2\). (English) Zbl 1478.11039 Banaszak, Grzegorz (ed.) et al., Arithmetic methods in mathematical physics and biology II. Proceedings of the 2nd international conference, Będlewo, Poland, August 5–11, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 124, 23-26 (2021). Reviewer: Victor Wang (Princeton) MSC: 11D25 11G05 14J27 14J28 PDFBibTeX XMLCite \textit{S. Barańczuk}, Banach Cent. Publ. 124, 23--26 (2021; Zbl 1478.11039) Full Text: DOI
Guan, Xungui On the Diophantine equation \(X^2 - (a^2 + 1)Y^4 = k^2 - 1 - 2ka\). (Chinese. English summary) Zbl 1488.11081 J. Sichuan Norm. Univ., Nat. Sci. 44, No. 2, 225-234 (2021). MSC: 11D25 11J68 PDFBibTeX XMLCite \textit{X. Guan}, J. Sichuan Norm. Univ., Nat. Sci. 44, No. 2, 225--234 (2021; Zbl 1488.11081) Full Text: DOI
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader On some imaginary triquadratic number fields \(k\) with \(\mathrm{Cl}_2(k)\simeq(2,4)\) or \((2, 2, 2)\). (English) Zbl 07396207 Commentat. Math. Univ. Carol. 62, No. 1, 1-14 (2021). MSC: 11R11 11R16 11R18 11R27 11R29 PDFBibTeX XMLCite \textit{A. Azizi} et al., Commentat. Math. Univ. Carol. 62, No. 1, 1--14 (2021; Zbl 07396207) Full Text: DOI arXiv
Kashio, Tomokazu; Sekigawa, Ryutaro The characterization of cyclic cubic fields with power integral bases. (English) Zbl 1478.11126 Kodai Math. J. 44, No. 2, 290-306 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11D25 11R29 11R34 PDFBibTeX XMLCite \textit{T. Kashio} and \textit{R. Sekigawa}, Kodai Math. J. 44, No. 2, 290--306 (2021; Zbl 1478.11126) Full Text: DOI arXiv
Hirakawa, Yoshinosuke; Matsumura, Hideki Infinitely many hyperelliptic curves with exactly two rational points. (English) Zbl 1471.11201 Rocky Mt. J. Math. 51, No. 3, 883-889 (2021). MSC: 11G30 11G05 11D25 14G05 PDFBibTeX XMLCite \textit{Y. Hirakawa} and \textit{H. Matsumura}, Rocky Mt. J. Math. 51, No. 3, 883--889 (2021; Zbl 1471.11201) Full Text: DOI arXiv
Hajdu, Lajos; Tengely, Szabolcs Powers in arithmetic progressions. (English) Zbl 1481.11014 Ramanujan J. 55, No. 3, 965-986 (2021). Reviewer: C. P. Anil Kumar (Chennai) MSC: 11B25 11N64 11G30 11D25 PDFBibTeX XMLCite \textit{L. Hajdu} and \textit{S. Tengely}, Ramanujan J. 55, No. 3, 965--986 (2021; Zbl 1481.11014) Full Text: DOI
Harron, Robert Equidistribution of shapes of complex cubic fields of fixed quadratic resolvent. (English) Zbl 1481.11107 Algebra Number Theory 15, No. 5, 1095-1125 (2021). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11E12 11R45 PDFBibTeX XMLCite \textit{R. Harron}, Algebra Number Theory 15, No. 5, 1095--1125 (2021; Zbl 1481.11107) Full Text: DOI arXiv
El Fadil, Lhoussain On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients. (English) Zbl 1479.11182 J. Number Theory 228, 375-389 (2021). Reviewer: Radoslav M. Dimitrić (New York) MSC: 11R04 11R16 11R21 11Y50 11Y40 11R29 PDFBibTeX XMLCite \textit{L. El Fadil}, J. Number Theory 228, 375--389 (2021; Zbl 1479.11182) Full Text: DOI arXiv
Li, Andrew The Diophantine equation \(x^4+2^ny^4=1\) in quadratic number fields. (English) Zbl 1472.11095 Bull. Aust. Math. Soc. 104, No. 1, 21-28 (2021). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R11 11D45 PDFBibTeX XMLCite \textit{A. Li}, Bull. Aust. Math. Soc. 104, No. 1, 21--28 (2021; Zbl 1472.11095) Full Text: DOI
Xie, Tiantian; Yang, Hai; Xu, Qian The positive integer solutions of elliptic curves \({y^2} = qx ({x^2} - 256)\). (Chinese. English summary) Zbl 1474.11087 J. Qufu Norm. Univ., Nat. Sci. 47, No. 1, 47-51 (2021). MSC: 11D25 11G05 11G07 PDFBibTeX XMLCite \textit{T. Xie} et al., J. Qufu Norm. Univ., Nat. Sci. 47, No. 1, 47--51 (2021; Zbl 1474.11087)
Shankar, Ananth N.; Shankar, Arul; Wang, Xiaoheng Large families of elliptic curves ordered by conductor. (English) Zbl 1485.11100 Compos. Math. 157, No. 7, 1538-1583 (2021). Reviewer: Stanley Yao Xiao (Waterloo) MSC: 11G05 11R29 11R45 11E76 PDFBibTeX XMLCite \textit{A. N. Shankar} et al., Compos. Math. 157, No. 7, 1538--1583 (2021; Zbl 1485.11100) Full Text: DOI arXiv
Nakagawa, Jin A conjecture on the zeta functions of pairs of ternary quadratic forms. (English) Zbl 1478.11141 Am. J. Math. 143, No. 2, 335-410 (2021). Reviewer: Yilmaz Simsek (Antalya) MSC: 11S80 11E20 11M41 PDFBibTeX XMLCite \textit{J. Nakagawa}, Am. J. Math. 143, No. 2, 335--410 (2021; Zbl 1478.11141) Full Text: DOI arXiv
Louboutin, Stéphane R. Upper bounds on residues of Dedekind zeta functions of non-normal totally real cubic fields. (English) Zbl 1470.11297 Acta Arith. 198, No. 3, 233-256 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M20 11R11 11R16 PDFBibTeX XMLCite \textit{S. R. Louboutin}, Acta Arith. 198, No. 3, 233--256 (2021; Zbl 1470.11297) Full Text: DOI
Azizi, Abdelmalek; Tamimi, Mohammed; Zekhnini, Abdelkader The 2-rank of the class group of some real cyclic quartic number fields. (English) Zbl 1469.11417 Proc. Indian Acad. Sci., Math. Sci. 131, No. 1, Paper No. 7, 17 p. (2021). MSC: 11R16 11R29 11R11 11R80 PDFBibTeX XMLCite \textit{A. Azizi} et al., Proc. Indian Acad. Sci., Math. Sci. 131, No. 1, Paper No. 7, 17 p. (2021; Zbl 1469.11417) Full Text: DOI arXiv
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek The generators of 3-class group of some fields of degree 6 over \(\mathbb{Q}\). (English) Zbl 1474.11185 Bol. Soc. Parana. Mat. (3) 39, No. 3, 37-52 (2021). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDFBibTeX XMLCite \textit{S. Aouissi} et al., Bol. Soc. Parana. Mat. (3) 39, No. 3, 37--52 (2021; Zbl 1474.11185) Full Text: arXiv Link
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
Das, Shamik; Saikia, Anupam On \(\theta\)-congruent numbers over real number fields. (English) Zbl 1468.11124 Bull. Aust. Math. Soc. 103, No. 2, 218-229 (2021). Reviewer: Maciej Ulas (Kraków) MSC: 11G05 11R21 11R16 PDFBibTeX XMLCite \textit{S. Das} and \textit{A. Saikia}, Bull. Aust. Math. Soc. 103, No. 2, 218--229 (2021; Zbl 1468.11124) Full Text: DOI
Laflamme, Jeanne; Lalín, Matilde On Ceva points of (almost) equilateral triangles. (English) Zbl 1475.11114 J. Number Theory 222, 48-74 (2021). Reviewer: David McKinnon (Waterloo) MSC: 11G05 14J27 14J28 14H52 11D25 PDFBibTeX XMLCite \textit{J. Laflamme} and \textit{M. Lalín}, J. Number Theory 222, 48--74 (2021; Zbl 1475.11114) Full Text: DOI
Tsang, Cindy; Xiao, Stanley Yao The number of quartic \(D_4\)-fields with monogenic cubic resolvent ordered by conductor. (English) Zbl 1466.11080 Trans. Am. Math. Soc. 374, No. 3, 1987-2033 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11E76 11G05 11N45 11R04 11R45 PDFBibTeX XMLCite \textit{C. Tsang} and \textit{S. Y. Xiao}, Trans. Am. Math. Soc. 374, No. 3, 1987--2033 (2021; Zbl 1466.11080) Full Text: DOI arXiv
Maarefparvar, Abbas Pre-Pólya group in even dihedral extensions of \(\mathbb{Q}\). (English) Zbl 1471.11265 Int. J. Math. 32, No. 1, Article ID 2150001, 8 p. (2021). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R16 11R21 11R34 11R37 PDFBibTeX XMLCite \textit{A. Maarefparvar}, Int. J. Math. 32, No. 1, Article ID 2150001, 8 p. (2021; Zbl 1471.11265) Full Text: DOI
Zinevičius, Albertas Non-sums of two cubes of algebraic integers. (English) Zbl 1465.11082 Colloq. Math. 163, No. 2, 285-293 (2021). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R04 11N37 11R42 PDFBibTeX XMLCite \textit{A. Zinevičius}, Colloq. Math. 163, No. 2, 285--293 (2021; Zbl 1465.11082) Full Text: DOI
Moody, Dustin; Shamsi Zargar, Arman On the rank of elliptic curves arising from Pythagorean quadruplets. II. (English) Zbl 1467.14075 Colloq. Math. 163, No. 2, 189-196 (2021). Reviewer: Andrea Bandini (Pisa) MSC: 14H52 11G05 11D25 PDFBibTeX XMLCite \textit{D. Moody} and \textit{A. Shamsi Zargar}, Colloq. Math. 163, No. 2, 189--196 (2021; Zbl 1467.14075) Full Text: DOI
Chen, Sheng Integral points on twisted Markoff surfaces. (English) Zbl 1468.11149 J. Number Theory 220, 212-234 (2021). MSC: 11G35 11D25 14F22 14G12 PDFBibTeX XMLCite \textit{S. Chen}, J. Number Theory 220, 212--234 (2021; Zbl 1468.11149) Full Text: DOI arXiv
Aygin, Zafer Selcuk; Nguyen, Khoa D. Monogenic pure cubics. (English) Zbl 1460.11126 J. Number Theory 219, 356-367 (2021); corrigendum ibid. 242, 244 (2023). MSC: 11R16 11R58 11D25 PDFBibTeX XMLCite \textit{Z. S. Aygin} and \textit{K. D. Nguyen}, J. Number Theory 219, 356--367 (2021; Zbl 1460.11126) Full Text: DOI arXiv
O’Dorney, Evan M. Reflection theorems for number rings generalizing the Ohno-Nakagawa identity. arXiv:2111.09784 Preprint, arXiv:2111.09784 [math.NT] (2021). MSC: 11R16 11A15 11E76 11R54 11G20 BibTeX Cite \textit{E. M. O'Dorney}, ``Reflection theorems for number rings generalizing the Ohno-Nakagawa identity'', Preprint, arXiv:2111.09784 [math.NT] (2021) Full Text: arXiv OA License
Elsenhans, Andreas-Stephan; Stoll, Michael Minimization of hypersurfaces. arXiv:2110.04625 Preprint, arXiv:2110.04625 [math.NT] (2021). MSC: 11D25 11D41 11G30 14G25 14Q05 14Q10 14Q25 11Y99 BibTeX Cite \textit{A.-S. Elsenhans} and \textit{M. Stoll}, ``Minimization of hypersurfaces'', Preprint, arXiv:2110.04625 [math.NT] (2021) Full Text: arXiv OA License
Shankar, Arul; Södergren, Anders; Templier, Nicolas Central values of zeta functions of non-Galois cubic fields. arXiv:2107.10900 Preprint, arXiv:2107.10900 [math.NT] (2021). MSC: 11R16 11R42 11R45 BibTeX Cite \textit{A. Shankar} et al., ``Central values of zeta functions of non-Galois cubic fields'', Preprint, arXiv:2107.10900 [math.NT] (2021) Full Text: arXiv OA License
O’Dorney, Evan M. Reflection theorems for number rings. arXiv:2107.04727 Preprint, arXiv:2107.04727 [math.NT] (2021). MSC: 11R16 11A15 11E20 11R54 11G20 BibTeX Cite \textit{E. M. O'Dorney}, ``Reflection theorems for number rings'', Preprint, arXiv:2107.04727 [math.NT] (2021) Full Text: arXiv OA License
de Courcy-Ireland, Matthew Non-planarity of Markoff graphs mod p. arXiv:2105.12411 Preprint, arXiv:2105.12411 [math.NT] (2021). MSC: 11D25 05C10 05C50 11F72 37P25 BibTeX Cite \textit{M. de Courcy-Ireland}, ``Non-planarity of Markoff graphs mod p'', Preprint, arXiv:2105.12411 [math.NT] (2021) Full Text: arXiv OA License
Zhang, Shenxing On non-congruent numbers with \(8a\pm1\) type odd prime factors and tame kernels. arXiv:2111.11618 Preprint, arXiv:2111.11618 [math.NT] (2021). MSC: 11G05 11D25 11R29 11R70 BibTeX Cite \textit{S. Zhang}, ``On non-congruent numbers with $8a\pm1$ type odd prime factors and tame kernels'', Preprint, arXiv:2111.11618 [math.NT] (2021) Full Text: arXiv OA License
Fadil, Lhoussain El; Najim, A. On power integral bases of certain pure number fields defined by \(x^{2^u\cdot3^v}-m\). arXiv:2106.01252 Preprint, arXiv:2106.01252 [math.NT] (2021). MSC: 11R04 11R16 11R21 BibTeX Cite \textit{L. E. Fadil} and \textit{A. Najim}, ``On power integral bases of certain pure number fields defined by $x^{2^u\cdot3^v}-m$'', Preprint, arXiv:2106.01252 [math.NT] (2021) Full Text: arXiv OA License