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)
Chern, Shane A note on balancing binomial coefficients. (English) Zbl 1395.11050 Proc. Japan Acad., Ser. A 91, No. 8, 110-111 (2015). MSC: 11D25 11G05 11Y50 PDFBibTeX XMLCite \textit{S. Chern}, Proc. Japan Acad., Ser. A 91, No. 8, 110--111 (2015; Zbl 1395.11050) Full Text: DOI arXiv Euclid
Matić, Ljerka Jukić Non-existence of certain Diophantine quadruples in rings of integers of pure cubic fields. (English) Zbl 1284.11057 Proc. Japan Acad., Ser. A 88, No. 10, 163-167 (2012). Reviewer: Volker Ziegler (Linz) MSC: 11D09 11R16 11D79 PDFBibTeX XMLCite \textit{L. J. Matić}, Proc. Japan Acad., Ser. A 88, No. 10, 163--167 (2012; Zbl 1284.11057) Full Text: DOI Euclid
Johnstone, Jennifer Ann; Spearman, Blair Kenneth On the distribution of congruent numbers. (English) Zbl 1228.11083 Proc. Japan Acad., Ser. A 86, No. 5, 89-90 (2010). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{J. A. Johnstone} and \textit{B. K. Spearman}, Proc. Japan Acad., Ser. A 86, No. 5, 89--90 (2010; Zbl 1228.11083) Full Text: DOI
Kim, Jung Soo Efficient computation of rank of elliptic curves using hyperelliptic curves associated with the simplest cubic fields. (English) Zbl 0974.11025 Proc. Japan Acad., Ser. A 76, No. 9, 129-131 (2000). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 11G05 11R16 PDFBibTeX XMLCite \textit{J. S. Kim}, Proc. Japan Acad., Ser. A 76, No. 9, 129--131 (2000; Zbl 0974.11025) Full Text: DOI
Minemura, Kenji On totally real cubic fields whose unit groups are of type \(\{\theta + r,\theta + s\}\). (English) Zbl 0933.11051 Proc. Japan Acad., Ser. A 74, No. 10, 156-159 (1998). Reviewer: F.Halter-Koch (Graz) MSC: 11R16 11R80 11R27 PDFBibTeX XMLCite \textit{K. Minemura}, Proc. Japan Acad., Ser. A 74, No. 10, 156--159 (1998; Zbl 0933.11051) Full Text: DOI
Nemenzo, Fidel Ronquillo All congruent numbers less than 40000. (English) Zbl 0922.11023 Proc. Japan Acad., Ser. A 74, No. 1, 29-31 (1998). Reviewer: Federico Pellarin (Münster) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{F. R. Nemenzo}, Proc. Japan Acad., Ser. A 74, No. 1, 29--31 (1998; Zbl 0922.11023) Full Text: DOI
Byeon, Dongho Quadratic twists of elliptic curves associated to the simplest cubic fields. (English) Zbl 0914.11032 Proc. Japan Acad., Ser. A 73, No. 10, 185-186 (1997). MSC: 11G05 14H52 11R16 11R29 14G05 PDFBibTeX XMLCite \textit{D. Byeon}, Proc. Japan Acad., Ser. A 73, No. 10, 185--186 (1997; Zbl 0914.11032) Full Text: DOI
Iskra, Boris Non-congruent numbers with arbitrarily many prime factors congruent to 3 modulo 8. (English) Zbl 0877.11014 Proc. Japan Acad., Ser. A 72, No. 7, 168-169 (1996). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{B. Iskra}, Proc. Japan Acad., Ser. A 72, No. 7, 168--169 (1996; Zbl 0877.11014) Full Text: DOI
Byeon, Dongho Class number one problem for pure cubic fields of Rudman-Stender type. (English) Zbl 0871.11077 Proc. Japan Acad., Ser. A 72, No. 7, 166-167 (1996). Reviewer: H.Yokoi (Iwasaki) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{D. Byeon}, Proc. Japan Acad., Ser. A 72, No. 7, 166--167 (1996; Zbl 0871.11077) Full Text: DOI
Nemenzo, Fidel R. On the rank of the elliptic curve \(y^ 2=x^ 3- 2379^ 2x\). (English) Zbl 0879.11029 Proc. Japan Acad., Ser. A 72, No. 9, 206-207 (1996). Reviewer: C.Levesque (Quebec) MSC: 11G05 14H52 11D25 PDFBibTeX XMLCite \textit{F. R. Nemenzo}, Proc. Japan Acad., Ser. A 72, No. 9, 206--207 (1996; Zbl 0879.11029) Full Text: DOI
Ono, Takashi Triangles and elliptic curves. VI. (English) Zbl 0866.14022 Proc. Japan Acad., Ser. A 71, No. 8, 184-186 (1995). Reviewer: B.Richter (Berlin) MSC: 14H52 11G05 11D25 51M15 PDFBibTeX XMLCite \textit{T. Ono}, Proc. Japan Acad., Ser. A 71, No. 8, 184--186 (1995; Zbl 0866.14022) Full Text: DOI
Ono, Takashi Triangles and elliptic curves. V. (English) Zbl 0865.14015 Proc. Japan Acad., Ser. A 71, No. 7, 137-139 (1995). Reviewer: B.Richter (Berlin) MSC: 14H52 11D25 11G05 PDFBibTeX XMLCite \textit{T. Ono}, Proc. Japan Acad., Ser. A 71, No. 7, 137--139 (1995; Zbl 0865.14015) Full Text: DOI
Ono, Takashi Triangles and elliptic curves. IV. (English) Zbl 0841.14028 Proc. Japan Acad., Ser. A 71, No. 5, 104-106 (1995). Reviewer: B.Richter (Berlin) MSC: 14H52 11G05 11D25 11G20 14H25 14G05 PDFBibTeX XMLCite \textit{T. Ono}, Proc. Japan Acad., Ser. A 71, No. 5, 104--106 (1995; Zbl 0841.14028) Full Text: DOI
Adachi, Norio On Pythagorean elliptic curves. (English) Zbl 0817.11030 Proc. Japan Acad., Ser. A 70, No. 7, 226-229 (1994). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{N. Adachi}, Proc. Japan Acad., Ser. A 70, No. 7, 226--229 (1994; Zbl 0817.11030) Full Text: DOI
Ono, Takashi Triangles and elliptic curves. II. (English) Zbl 0824.14029 Proc. Japan Acad., Ser. A 70, No. 7, 223-225 (1994). Reviewer: B.Richter (Berlin) MSC: 14H52 11D25 11G05 PDFBibTeX XMLCite \textit{T. Ono}, Proc. Japan Acad., Ser. A 70, No. 7, 223--225 (1994; Zbl 0824.14029) Full Text: DOI
Wada, Hideo; Tairo, Mayako Computations of the rank of elliptic curve \(y^ 2=x^ 3-n^ 2x\). (English) Zbl 0820.14040 Proc. Japan Acad., Ser. A 70, No. 5, 154-157 (1994). Reviewer: J.R.Sendra (Madrid) MSC: 14Q05 14H52 11D25 11G05 PDFBibTeX XMLCite \textit{H. Wada} and \textit{M. Tairo}, Proc. Japan Acad., Ser. A 70, No. 5, 154--157 (1994; Zbl 0820.14040) Full Text: DOI
Ono, Takashi Triangles and elliptic curves. (English) Zbl 0824.14028 Proc. Japan Acad., Ser. A 70, No. 4, 106-108 (1994). Reviewer: B.Richter (Berlin) MSC: 14H52 11G05 11D25 PDFBibTeX XMLCite \textit{T. Ono}, Proc. Japan Acad., Ser. A 70, No. 4, 106--108 (1994; Zbl 0824.14028) Full Text: DOI
Noda, Kazunari; Wada, Hideo All congruent numbers less than 10 000. (English) Zbl 0795.11012 Proc. Japan Acad., Ser. A 69, No. 6, 175-178 (1993). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{K. Noda} and \textit{H. Wada}, Proc. Japan Acad., Ser. A 69, No. 6, 175--178 (1993; Zbl 0795.11012) Full Text: DOI
Hosoya, Junji; Wada, Hideo Tables of ideal class groups of purely cubic fields. (English) Zbl 0767.11053 Proc. Japan Acad., Ser. A 68, No. 5, 111-114 (1992). MSC: 11R29 11R16 11-04 11Y40 PDFBibTeX XMLCite \textit{J. Hosoya} and \textit{H. Wada}, Proc. Japan Acad., Ser. A 68, No. 5, 111--114 (1992; Zbl 0767.11053) Full Text: DOI
Watabe, Mutsuo On certain cubic fields. VI. (English) Zbl 0567.12006 Proc. Japan Acad., Ser. A 60, 331-332 (1984). Reviewer: M.-N.Gras MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{M. Watabe}, Proc. Japan Acad., Ser. A 60, 331--332 (1984; Zbl 0567.12006) Full Text: DOI
Watabe, Mutsuo On certain cubic fields. V. (English) Zbl 0567.12005 Proc. Japan Acad., Ser. A 60, 302-305 (1984). Reviewer: M.-N.Gras MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{M. Watabe}, Proc. Japan Acad., Ser. A 60, 302--305 (1984; Zbl 0567.12005) Full Text: DOI
Chahal, Jasbir Singh On an identity of Desboves. (English) Zbl 0562.14010 Proc. Japan Acad., Ser. A 60, 105-108 (1984). Reviewer: C.-G.Schmidt MSC: 11G05 14H45 11D04 14G05 14H52 11D25 PDFBibTeX XMLCite \textit{J. S. Chahal}, Proc. Japan Acad., Ser. A 60, 105--108 (1984; Zbl 0562.14010) Full Text: DOI
Watabe, Mutsuo On certain cubic fields. IV. (English) Zbl 0542.12002 Proc. Japan Acad., Ser. A 59, 387-389 (1983). Reviewer: M.-N.Gras MSC: 11R16 11R23 11R18 11R80 11S15 PDFBibTeX XMLCite \textit{M. Watabe}, Proc. Japan Acad., Ser. A 59, 387--389 (1983; Zbl 0542.12002) Full Text: DOI
Watabe, Mutsuo On certain cubic fields. III. (English) Zbl 0524.12001 Proc. Japan Acad., Ser. A 59, 260-262 (1983). Reviewer: Marie-Nicole Gras MSC: 11R16 11R27 11R80 PDFBibTeX XMLCite \textit{M. Watabe}, Proc. Japan Acad., Ser. A 59, 260--262 (1983; Zbl 0524.12001) Full Text: DOI
Watabe, Mutsuo On certain cubic fields. I, II. (English) Zbl 0519.12002 Proc. Japan Acad., Ser. A 59, 66-69 (1983); 59, 107-108 (1983). Reviewer: Marie-Nicole Gras (Besançon) MSC: 11R16 11R27 11R29 11R18 PDFBibTeX XMLCite \textit{M. Watabe}, Proc. Japan Acad., Ser. A 59, 66--69, 107--108 (1983; Zbl 0519.12002) Full Text: DOI
Watabe, Mutsuo On certain Diophantine equations in algebraic number fields. (English) Zbl 0513.10018 Proc. Japan Acad., Ser. A 58, 410-412 (1982). MSC: 11D41 11R04 11D25 11D04 11R58 PDFBibTeX XMLCite \textit{M. Watabe}, Proc. Japan Acad., Ser. A 58, 410--412 (1982; Zbl 0513.10018) Full Text: DOI
Nakamula, Ken On the group of units of a non-galois quartic or sextic number field. (English) Zbl 0471.12005 Proc. Japan Acad., Ser. A 56, 77-81 (1980). Reviewer: Hugh C. Williams (Winnipeg) MSC: 11R27 11R16 11R21 PDFBibTeX XMLCite \textit{K. Nakamula}, Proc. Japan Acad., Ser. A 56, 77--81 (1980; Zbl 0471.12005) Full Text: DOI