Jędrzejak, Tomasz Ranks in the family of hyperelliptic Jacobians of \(y^2=x^5+ax\). (English) Zbl 07329221 J. Number Theory 223, 35-52 (2021). MSC: 11G10 11G30 11G20 11G25 PDF BibTeX XML Cite \textit{T. Jędrzejak}, J. Number Theory 223, 35--52 (2021; Zbl 07329221) Full Text: DOI
Dina, Bogdan Adrian; Ionica, Sorina Genus 3 hyperelliptic curves with CM via Shimura reciprocity. (English) Zbl 07319966 Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-07-1/print; 978-1-935107-08-8/ebook). The Open Book Series 4, 161-178 (2020). MSC: 11G30 11G15 PDF BibTeX XML Cite \textit{B. A. Dina} and \textit{S. Ionica}, Open Book Ser. 4, 161--178 (2020; Zbl 07319966) Full Text: DOI
Matsutani, Shigeki Periodic and quasi-periodic solutions of Toda lattice via hyperelliptic \(\sigma\) functions. (Japanese. English summary) Zbl 1455.14066 RIMS Kôkyûroku Bessatsu B78, 155-178 (2020). MSC: 14H55 14H50 14K25 14H40 PDF BibTeX XML Cite \textit{S. Matsutani}, RIMS Kôkyûroku Bessatsu B78, 155--178 (2020; Zbl 1455.14066) Full Text: Link
Takahashi, Norihisa; Nozawa, Hiraku Dehn twist presentations of hyperelliptic periodic diffeomorphisms on closed surfaces. (English) Zbl 07285731 Kodai Math. J. 43, No. 3, 489-503 (2020). Reviewer: Elif Medetoğulları (Ankara) MSC: 57K20 57M60 57M99 20F65 20F05 PDF BibTeX XML Cite \textit{N. Takahashi} and \textit{H. Nozawa}, Kodai Math. J. 43, No. 3, 489--503 (2020; Zbl 07285731) Full Text: DOI Euclid
Daniels, Harris B.; Lozano-Robledo, Álvaro; Wallace, Erik Bounds of the rank of the Mordell-Weil group of Jacobians of hyperelliptic curves. (English. French summary) Zbl 07246701 J. Théor. Nombres Bordx. 32, No. 1, 231-258 (2020). MSC: 11G10 14K15 PDF BibTeX XML Cite \textit{H. B. Daniels} et al., J. Théor. Nombres Bordx. 32, No. 1, 231--258 (2020; Zbl 07246701) Full Text: DOI
Haile, Darrell; Rowen, Louis; Tignol, Jean-Pierre On quaternion algebras split by a given extension, Clifford algebras and hyperelliptic curves. (English) Zbl 07246663 Algebr. Represent. Theory 23, No. 4, 1807-1826 (2020). Reviewer: Danail Brezov (Sofia) MSC: 16K20 11E88 12F10 15A66 PDF BibTeX XML Cite \textit{D. Haile} et al., Algebr. Represent. Theory 23, No. 4, 1807--1826 (2020; Zbl 07246663) Full Text: DOI
Ruíz Duarte, Eduardo; Top, Jaap A proof of the Hasse-Weil inequality for genus 2 à la Manin. (English) Zbl 1441.11158 Indian J. Pure Appl. Math. 51, No. 2, 761-776 (2020). MSC: 11G10 11G20 14G10 14G15 PDF BibTeX XML Cite \textit{E. Ruíz Duarte} and \textit{J. Top}, Indian J. Pure Appl. Math. 51, No. 2, 761--776 (2020; Zbl 1441.11158) Full Text: DOI
Chan, Tsz Ho Gaps between divisible terms in \(a^2(a^2 + 1)\). (English) Zbl 07201219 Bull. Aust. Math. Soc. 101, No. 3, 396-400 (2020); corrigendum ibid. 103, No. 1, 176 (2021). MSC: 11B83 11A05 PDF BibTeX XML Cite \textit{T. H. Chan}, Bull. Aust. Math. Soc. 101, No. 3, 396--400 (2020; Zbl 07201219) Full Text: DOI
Baird, Thomas John; Hu, Shengda The moduli space of real vector bundles of rank two over a real hyperelliptic curve. (English) Zbl 1445.14052 Pac. J. Math. 304, No. 1, 1-14 (2020). MSC: 14H60 14H81 14P05 PDF BibTeX XML Cite \textit{T. J. Baird} and \textit{S. Hu}, Pac. J. Math. 304, No. 1, 1--14 (2020; Zbl 1445.14052) Full Text: DOI
Milio, Enea Computing isogenies between Jacobians of curves of genus 2 and 3. (English) Zbl 1433.14043 Math. Comput. 89, No. 323, 1331-1364 (2020). Reviewer: Tony Ezome (Libreville) MSC: 14K02 14K25 14Q05 14Q20 PDF BibTeX XML Cite \textit{E. Milio}, Math. Comput. 89, No. 323, 1331--1364 (2020; Zbl 1433.14043) Full Text: DOI
Jeon, Daeyeol; Kim, Chang Heon; Schweizer, Andreas Bielliptic intermediate modular curves. (English) Zbl 1436.11064 J. Pure Appl. Algebra 224, No. 1, 272-299 (2020). Reviewer: Noburo Ishii (Kyoto) MSC: 11G18 14H45 14H37 11G05 PDF BibTeX XML Cite \textit{D. Jeon} et al., J. Pure Appl. Algebra 224, No. 1, 272--299 (2020; Zbl 1436.11064) Full Text: DOI
Hoshi, Yuichiro Hyperbolic ordinariness of hyperelliptic curves of lower genus in characteristic three. (English) Zbl 1440.14129 Kyushu J. Math. 73, No. 2, 317-335 (2019). MSC: 14G17 14H10 14H25 14H45 PDF BibTeX XML Cite \textit{Y. Hoshi}, Kyushu J. Math. 73, No. 2, 317--335 (2019; Zbl 1440.14129) Full Text: DOI
Rezai Rad, Monireh; Jacobson, Michael J. jun.; Scheidler, Renate Jacobian versus infrastructure in split hyperelliptic curves. (English) Zbl 1442.14101 Gueye, Cheikh Thiecoumba (ed.) et al., Algebra, codes and cryptology. Proceedings of the first international conference, A2C 2019, in honor of Prof. Mamadou Sanghare, Dakar, Senegal, December 5–7, 2019. Cham: Springer. Commun. Comput. Inf. Sci. 1133, 183-203 (2019). MSC: 14H40 14Q05 14H45 14H30 11G20 PDF BibTeX XML Cite \textit{M. Rezai Rad} et al., Commun. Comput. Inf. Sci. 1133, 183--203 (2019; Zbl 1442.14101) Full Text: DOI
Jeon, Daeyeol Weierstrass points on hyperelliptic modular curves. (English) Zbl 1442.14106 Proc. Japan Acad., Ser. A 95, No. 7, 65-69 (2019). MSC: 14H55 11G18 PDF BibTeX XML Cite \textit{D. Jeon}, Proc. Japan Acad., Ser. A 95, No. 7, 65--69 (2019; Zbl 1442.14106) Full Text: DOI Euclid
Lvovski, Serge On monodromy in families of elliptic curves over \(\mathbb{C}\). (English) Zbl 07206621 Mosc. Math. J. 19, No. 3, 597-613 (2019). MSC: 14D05 14H52 14J26 PDF BibTeX XML Cite \textit{S. Lvovski}, Mosc. Math. J. 19, No. 3, 597--613 (2019; Zbl 07206621) Full Text: Link
Fan, Xuejun; Tian, Song; Li, Bao; Li, Weixuan Constructing hyperelliptic covers for elliptic curves over quadratic extension fields. (English) Zbl 1439.94030 Jang-Jaccard, Julian (ed.) et al., Information security and privacy. 24th Australasian conference, ACISP 2019, Christchurch, New Zealand, July 3–5, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11547, 630-638 (2019). MSC: 94A60 14G50 11T71 PDF BibTeX XML Cite \textit{X. Fan} et al., Lect. Notes Comput. Sci. 11547, 630--638 (2019; Zbl 1439.94030) Full Text: DOI
Cox, Ben; Guo, Xiangqian; Im, Mee Seong; Zhao, Kaiming On the module structure of the center of hyperelliptic Krichever-Novikov algebras. II. (English) Zbl 1430.22024 Commun. Algebra 47, No. 12, 5142-5163 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E60 22E66 22E99 16W25 16W20 PDF BibTeX XML Cite \textit{B. Cox} et al., Commun. Algebra 47, No. 12, 5142--5163 (2019; Zbl 1430.22024) Full Text: DOI arXiv
Stankewicz, James On the gonality of graphs and connections to orientable genus. (English) Zbl 1422.05038 New York J. Math. 25, 1048-1066 (2019). MSC: 05C10 11G18 14H51 PDF BibTeX XML Cite \textit{J. Stankewicz}, New York J. Math. 25, 1048--1066 (2019; Zbl 1422.05038) Full Text: Link
Kin, Eiko; Shin, Hyunshik Small asymptotic translation lengths of pseudo-Anosov maps on the curve complex. (English) Zbl 07117660 Groups Geom. Dyn. 13, No. 3, 883-907 (2019). MSC: 57M99 37E30 PDF BibTeX XML Cite \textit{E. Kin} and \textit{H. Shin}, Groups Geom. Dyn. 13, No. 3, 883--907 (2019; Zbl 07117660) Full Text: DOI arXiv
Chung, Jiman; Im, Bo-Hae Average values on the Jacobian variety of a hyperelliptic curve. (English) Zbl 07080982 Bull. Korean Math. Soc. 56, No. 2, 333-349 (2019). MSC: 11G05 PDF BibTeX XML Cite \textit{J. Chung} and \textit{B.-H. Im}, Bull. Korean Math. Soc. 56, No. 2, 333--349 (2019; Zbl 07080982) Full Text: DOI
Nakamura, Akane Autonomous limit of the 4-dimensional Painlevé-type equations and degeneration of curves of genus two. (Limite autonome des équations 4-dimensionnelles de type Painlevé et la dégénérescence des courbes de genre deux.) (English. French summary) Zbl 1416.34078 Ann. Inst. Fourier 69, No. 2, 845-893 (2019). MSC: 34M55 33E17 14H70 PDF BibTeX XML Cite \textit{A. Nakamura}, Ann. Inst. Fourier 69, No. 2, 845--893 (2019; Zbl 1416.34078) Full Text: DOI
Jetchev, Dimitar; Wesolowski, Benjamin Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem. (English) Zbl 1441.11160 Acta Arith. 187, No. 4, 381-404 (2019). MSC: 11G15 11G25 11T24 14G50 14H40 14K02 14K22 PDF BibTeX XML Cite \textit{D. Jetchev} and \textit{B. Wesolowski}, Acta Arith. 187, No. 4, 381--404 (2019; Zbl 1441.11160) Full Text: DOI arXiv
Gallegos-Ruiz, Homero R. Computing integral points on genus 2 curves estimating hyperelliptic logarithms. (English) Zbl 1443.11121 Acta Arith. 187, No. 4, 329-344 (2019). Reviewer: Francesc Bars Cortina (Bellaterra) MSC: 11G30 11Y50 PDF BibTeX XML Cite \textit{H. R. Gallegos-Ruiz}, Acta Arith. 187, No. 4, 329--344 (2019; Zbl 1443.11121) Full Text: DOI
Borówka, Paweł; Ortega, Angela Hyperelliptic curves on \((1,4)\)-polarised abelian surfaces. (English) Zbl 1423.14205 Math. Z. 292, No. 1-2, 193-209 (2019). Reviewer: G. K. Sankaran (Bath) MSC: 14H45 14K12 PDF BibTeX XML Cite \textit{P. Borówka} and \textit{A. Ortega}, Math. Z. 292, No. 1--2, 193--209 (2019; Zbl 1423.14205) Full Text: DOI arXiv
Nakayashiki, Atsushi On reducible degeneration of hyperelliptic curves and soliton solutions. (English) Zbl 1414.37031 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 009, 18 p. (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K40 37K10 14H70 37K20 PDF BibTeX XML Cite \textit{A. Nakayashiki}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 009, 18 p. (2019; Zbl 1414.37031) Full Text: DOI arXiv
Zomorrodian, Reza Graphical representation of maximal groups of genus two and their hyperelliptic curves. (English) Zbl 1429.20034 JP J. Geom. Topol. 21, No. 2, 105-118 (2018). MSC: 20H10 11G30 20D15 20D45 30F10 PDF BibTeX XML Cite \textit{R. Zomorrodian}, JP J. Geom. Topol. 21, No. 2, 105--118 (2018; Zbl 1429.20034) Full Text: DOI
Tsiganov, A. V. Bäcklund transformations and new integrable systems on the plane. (English) Zbl 1428.37056 Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 47-74 (2018). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J38 37J35 14H70 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, Springer Proc. Math. Stat. 273, 47--74 (2018; Zbl 1428.37056) Full Text: DOI
Li, Zhu Finite genus solutions for Geng hierarchy. (English) Zbl 1420.35295 J. Nonlinear Math. Phys. 25, No. 1, 54-65 (2018). MSC: 35Q51 35C08 37K10 PDF BibTeX XML Cite \textit{Z. Li}, J. Nonlinear Math. Phys. 25, No. 1, 54--65 (2018; Zbl 1420.35295) Full Text: DOI
Köck, Bernhard; Tait, Joseph On the de-Rham cohomology of hyperelliptic curves. (English) Zbl 07086294 Res. Number Theory 4, No. 2, Paper No. 19, 17 p. (2018). MSC: 14F40 14G17 14H37 PDF BibTeX XML Cite \textit{B. Köck} and \textit{J. Tait}, Res. Number Theory 4, No. 2, Paper No. 19, 17 p. (2018; Zbl 07086294) Full Text: DOI arXiv
Sheinman, O. K. Integrable systems of algebraic origin and separation of variables. (English. Russian original) Zbl 1420.14076 Funct. Anal. Appl. 52, No. 4, 316-320 (2018); translation from Funkts. Anal. Prilozh. 52, No. 4, 94-98 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 14H50 37J35 PDF BibTeX XML Cite \textit{O. K. Sheinman}, Funct. Anal. Appl. 52, No. 4, 316--320 (2018; Zbl 1420.14076); translation from Funkts. Anal. Prilozh. 52, No. 4, 94--98 (2018) Full Text: DOI
Frei, Sarah The \(a\)-number of hyperelliptic curves. (English) Zbl 1445.11052 Bouw, Irene I. (ed.) et al., Women in numbers Europe II. Contributions to number theory and arithmetic geometry, Leiden, The Netherlands, September 26–30, 2016. Cham: Springer. Assoc. Women Math. Ser. 11, 107-116 (2018). MSC: 11G20 14H25 14H40 PDF BibTeX XML Cite \textit{S. Frei}, Assoc. Women Math. Ser. 11, 107--116 (2018; Zbl 1445.11052) Full Text: DOI arXiv
Boston, Nigel; Hao, Jing The weight distribution of quasi-quadratic residue codes. (English) Zbl 1414.94932 Adv. Math. Commun. 12, No. 2, 363-385 (2018). MSC: 94B15 94B60 11G20 PDF BibTeX XML Cite \textit{N. Boston} and \textit{J. Hao}, Adv. Math. Commun. 12, No. 2, 363--385 (2018; Zbl 1414.94932) Full Text: DOI arXiv
Pirisi, Roberto Cohomological invariants of genus three hyperelliptic curves. (English) Zbl 1401.14069 Doc. Math. 23, 969-996 (2018). Reviewer: Dawei Chen (Chestnut Hill) MSC: 14D23 14H10 14F20 PDF BibTeX XML Cite \textit{R. Pirisi}, Doc. Math. 23, 969--996 (2018; Zbl 1401.14069) Full Text: DOI
Liou, Jia-Ming (Frank); Liu, Chih-Chung An algebraic construction of a solution to the mean field equations on hyperelliptic curves and its adiabatic limit. (English) Zbl 1400.14087 Proc. Am. Math. Soc. 146, No. 9, 3693-3707 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H55 35J15 35J91 PDF BibTeX XML Cite \textit{J.-M. Liou} and \textit{C.-C. Liu}, Proc. Am. Math. Soc. 146, No. 9, 3693--3707 (2018; Zbl 1400.14087) Full Text: DOI
Li, Wanlin Vanishing of hyperelliptic \(L\)-functions at the central point. (English) Zbl 1444.11231 J. Number Theory 191, 85-103 (2018). MSC: 11R59 11G20 PDF BibTeX XML Cite \textit{W. Li}, J. Number Theory 191, 85--103 (2018; Zbl 1444.11231) Full Text: DOI
Lange, Herbert; Ortega, Angela Prym varieties of étale covers of hyperelliptic curves. (English) Zbl 1400.14083 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 18, No. 2, 467-482 (2018). Reviewer: V. V. Chueshev (Kemerovo) MSC: 14H40 14H30 PDF BibTeX XML Cite \textit{H. Lange} and \textit{A. Ortega}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 18, No. 2, 467--482 (2018; Zbl 1400.14083) Full Text: DOI arXiv
Dryło, Robert; Pomykała, Jacek Factoring \(n\) and the number of points of Kummer hypersurfaces \(\bmod n\). (English) Zbl 1423.11206 Kaczorowski, Jerzy (ed.) et al., Number-theoretic methods in cryptology. First international conference, NuTMiC 2017, Warsaw, Poland, September 11–13, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10737, 163-177 (2018). MSC: 11Y05 11A15 11T71 11Y16 14H52 94A60 PDF BibTeX XML Cite \textit{R. Dryło} and \textit{J. Pomykała}, Lect. Notes Comput. Sci. 10737, 163--177 (2018; Zbl 1423.11206) Full Text: DOI
Sivatski, Alexander S. On rational points of certain affine hypersurfaces. (English) Zbl 1441.11071 Pac. J. Math. 292, No. 1, 239-256 (2018). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E04 11E81 14G05 14H45 14J70 PDF BibTeX XML Cite \textit{A. S. Sivatski}, Pac. J. Math. 292, No. 1, 239--256 (2018; Zbl 1441.11071) Full Text: DOI
Novoselov, S. A. Hyperelliptic curves, Cartier-Manin matrices and Legendre polynomials. (English) Zbl 07311429 Prikl. Diskretn. Mat. 2017, No. 3(37), 20-31 (2017). MSC: 14 65 PDF BibTeX XML Cite \textit{S. A. Novoselov}, Prikl. Diskretn. Mat. 2017, No. 3(37), 20--31 (2017; Zbl 07311429) Full Text: DOI MNR
Stoll, Michael An explicit theory of heights for hyperelliptic Jacobians of genus three. (English) Zbl 1406.14023 Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer (ISBN 978-3-319-70565-1/hbk; 978-3-319-70566-8/ebook). 665-715 (2017). Reviewer: V. V. Chueshev (Kemerovo) MSC: 14H40 11G10 11G50 PDF BibTeX XML Cite \textit{M. Stoll}, in: Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 665--715 (2017; Zbl 1406.14023) Full Text: DOI
Li, Zhu Algebro-geometric solutions of the Harry Dym hierarchy. (English) Zbl 1401.37076 Int. J. Nonlinear Sci. Numer. Simul. 18, No. 2, 129-136 (2017). MSC: 37K10 14H70 14H42 14H50 35Q53 37K20 PDF BibTeX XML Cite \textit{Z. Li}, Int. J. Nonlinear Sci. Numer. Simul. 18, No. 2, 129--136 (2017; Zbl 1401.37076) Full Text: DOI
Yang, Qing; Xin, Xiaolong; Li, Xiaoguang Improved structured blind multisignature schemes based on hyperelliptic curves. (Chinese. English summary) Zbl 1399.94078 Chin. J. Eng. Math. 34, No. 3, 247-261 (2017). MSC: 94A60 68P25 PDF BibTeX XML Cite \textit{Q. Yang} et al., Chin. J. Eng. Math. 34, No. 3, 247--261 (2017; Zbl 1399.94078) Full Text: DOI
Pirisi, Roberto Cohomological invariants of hyperelliptic curves of even genus. (English) Zbl 1397.14040 Algebr. Geom. 4, No. 4, 424-443 (2017). MSC: 14H10 14F20 14D23 PDF BibTeX XML Cite \textit{R. Pirisi}, Algebr. Geom. 4, No. 4, 424--443 (2017; Zbl 1397.14040) Full Text: DOI arXiv
Renes, Joost; Smith, Benjamin qDSA: small and secure digital signatures with curve-based Diffie-Hellman key pairs. (English) Zbl 1380.94119 Takagi, Tsuyoshi (ed.) et al., Advances in cryptology – ASIACRYPT 2017. 23rd international conference on the theory and applications of cryptology and information security, Hong Kong, China, December 3–7, 2017. Proceedings. Part II. Cham: Springer (ISBN 978-3-319-70696-2/pbk; 978-3-319-70697-9/ebook). Lecture Notes in Computer Science 10625, 273-302 (2017). MSC: 94A60 PDF BibTeX XML Cite \textit{J. Renes} and \textit{B. Smith}, Lect. Notes Comput. Sci. 10625, 273--302 (2017; Zbl 1380.94119) Full Text: DOI
Kani, Ernst Elliptic subcovers of hyperelliptic curves. (English) Zbl 1388.14089 Math. Nachr. 290, No. 17-18, 2890-2900 (2017). Reviewer: Sungkon Chang (Savannah) MSC: 14H30 14H40 14H52 11G30 PDF BibTeX XML Cite \textit{E. Kani}, Math. Nachr. 290, No. 17--18, 2890--2900 (2017; Zbl 1388.14089) Full Text: DOI
Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting On the cohomology of Fano varieties and the Springer correspondence. (English) Zbl 1401.14179 Adv. Math. 318, 515-533 (2017). MSC: 14J45 14H60 14M15 PDF BibTeX XML Cite \textit{T.-H. Chen} et al., Adv. Math. 318, 515--533 (2017; Zbl 1401.14179) Full Text: DOI arXiv
Bertin, Marie José; Zudilin, Wadim On the Mahler measure of hyperelliptic families. (English. French summary) Zbl 1434.11211 Ann. Math. Qué. 41, No. 1, 199-211 (2017). MSC: 11R06 11G30 14H52 PDF BibTeX XML Cite \textit{M. J. Bertin} and \textit{W. Zudilin}, Ann. Math. Qué. 41, No. 1, 199--211 (2017; Zbl 1434.11211) Full Text: DOI
Abenda, Simonetta On a family of KP multi-line solitons associated to rational degenerations of real hyperelliptic curves and to the finite non-periodic Toda hierarchy. (English) Zbl 1369.37075 J. Geom. Phys. 119, 112-138 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K40 37K20 14H50 14H70 37K10 PDF BibTeX XML Cite \textit{S. Abenda}, J. Geom. Phys. 119, 112--138 (2017; Zbl 1369.37075) Full Text: DOI arXiv
Vitse, Vanessa Field extensions and index calculus on algebraic curves. (English) Zbl 1430.11164 Bassa, Alp (ed.) et al., Arithmetic, geometry, cryptography and coding theory. 15th international conference on arithmetic, geometry, cryptography, and coding theory (AGCT), CIRM, Luminy, France, May 18–22, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 686, 187-199 (2017). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11T71 14H25 14H40 94A60 PDF BibTeX XML Cite \textit{V. Vitse}, Contemp. Math. 686, 187--199 (2017; Zbl 1430.11164) Full Text: DOI
Tafazolian, Saeed; Torres, Fernando A note on certain maximal curves. (English) Zbl 1416.11100 Commun. Algebra 45, No. 2, 764-773 (2017). MSC: 11G20 11M38 14G15 14H25 PDF BibTeX XML Cite \textit{S. Tafazolian} and \textit{F. Torres}, Commun. Algebra 45, No. 2, 764--773 (2017; Zbl 1416.11100) Full Text: DOI
Gorla, Elisa; Massierer, Maike An optimal representation for the trace zero subgroup. (English) Zbl 1432.14027 Des. Codes Cryptography 83, No. 3, 519-548 (2017). MSC: 14G50 94A60 11G25 14H52 11T71 14K15 PDF BibTeX XML Cite \textit{E. Gorla} and \textit{M. Massierer}, Des. Codes Cryptography 83, No. 3, 519--548 (2017; Zbl 1432.14027) Full Text: DOI arXiv
Novoselov, S. A. On bounds for balanced embedding degree. (Russian. English summary) Zbl 07310339 Prikl. Diskretn. Mat. 2016, No. 2(32), 63-86 (2016). MSC: 14 94 PDF BibTeX XML Cite \textit{S. A. Novoselov}, Prikl. Diskretn. Mat. 2016, No. 2(32), 63--86 (2016; Zbl 07310339) Full Text: DOI MNR
Dolgachev, Igor Corrado Segre and nodal cubic threefolds. (English) Zbl 1402.14043 Casnati, Gianfranco (ed.) et al., From classical to modern algebraic geometry. Corrado Segre’s mastership and legacy. Basel: Birkhäuser/Springer (ISBN 978-3-319-32992-5/hbk; 978-3-319-32994-9/ebook). Trends in the History of Science, 429-450 (2016). MSC: 14J17 14J30 14-03 01A55 01A60 14J45 PDF BibTeX XML Cite \textit{I. Dolgachev}, in: From classical to modern algebraic geometry. Corrado Segre's mastership and legacy. Basel: Birkhäuser/Springer. 429--450 (2016; Zbl 1402.14043) Full Text: DOI arXiv
Platonov, V. P.; Zhgoon, V. S.; Fedorov, G. V. Continued rational fractions in hyperelliptic fields and the Mumford representation. (English. Russian original) Zbl 1403.11071 Dokl. Math. 94, No. 3, 692-696 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 6, 640-644 (2016). MSC: 11R58 14H05 14H51 11J70 PDF BibTeX XML Cite \textit{V. P. Platonov} et al., Dokl. Math. 94, No. 3, 692--696 (2016; Zbl 1403.11071); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 6, 640--644 (2016) Full Text: DOI
Krumm, David Squarefree parts of polynomial values. (English. French summary) Zbl 1415.11148 J. Théor. Nombres Bordx. 28, No. 3, 699-724 (2016). MSC: 11R09 11G05 11G30 PDF BibTeX XML Cite \textit{D. Krumm}, J. Théor. Nombres Bordx. 28, No. 3, 699--724 (2016; Zbl 1415.11148) Full Text: DOI arXiv
Müller, Jan Steffen; Stoll, Michael Canonical heights on genus-2 Jacobians. (English) Zbl 1383.11089 Algebra Number Theory 10, No. 10, 2153-2234 (2016). Reviewer: Patrick Ingram (Toronto) MSC: 11G50 11G30 11G10 14G40 14Q05 14G05 PDF BibTeX XML Cite \textit{J. S. Müller} and \textit{M. Stoll}, Algebra Number Theory 10, No. 10, 2153--2234 (2016; Zbl 1383.11089) Full Text: DOI arXiv
Bertin, Marie José; Zudilin, Wadim On the Mahler measure of a family of genus 2 curves. (English) Zbl 1347.11076 Math. Z. 283, No. 3-4, 1185-1193 (2016). Reviewer: David W. Boyd (Vancouver) MSC: 11R06 11G05 11G30 11F67 PDF BibTeX XML Cite \textit{M. J. Bertin} and \textit{W. Zudilin}, Math. Z. 283, No. 3--4, 1185--1193 (2016; Zbl 1347.11076) Full Text: DOI arXiv
Jȩdrzejak, Tomasz On the torsion of the Jacobians of the hyperelliptic curves \(y^{2}=x^{n}+a\) and \(y^{2}=x(x^{n}+a)\). (English) Zbl 1402.11090 Acta Arith. 174, No. 2, 99-120 (2016). MSC: 11G10 11G30 11L05 11L10 PDF BibTeX XML Cite \textit{T. Jȩdrzejak}, Acta Arith. 174, No. 2, 99--120 (2016; Zbl 1402.11090) Full Text: DOI
Alaa, Mohamed; Sadek, Mohammad On geometric progressions on hyperelliptic curves. (English) Zbl 1368.14044 J. Integer Seq. 19, No. 6, Article 16.6.3, 8 p. (2016). Reviewer: Emre Alkan (Istanbul) MSC: 14H50 14G05 11B83 PDF BibTeX XML Cite \textit{M. Alaa} and \textit{M. Sadek}, J. Integer Seq. 19, No. 6, Article 16.6.3, 8 p. (2016; Zbl 1368.14044) Full Text: EMIS arXiv
Aktaş, Kevser; Şenay, Hasan On the arithmetic of the hyperelliptic curve \(y^2=x^n+a\). (English) Zbl 1413.11083 Czech. Math. J. 66, No. 1, 35-40 (2016). Reviewer: Sungkon Chang (Savannah) MSC: 11G30 14H25 PDF BibTeX XML Cite \textit{K. Aktaş} and \textit{H. Şenay}, Czech. Math. J. 66, No. 1, 35--40 (2016; Zbl 1413.11083) Full Text: DOI Link
Grushevsky, Samuel; Möller, Martin Shimura curves within the locus of hyperelliptic Jacobians in genus 3. (English) Zbl 1338.14046 Int. Math. Res. Not. 2016, No. 6, 1603-1639 (2016). Reviewer: G. K. Sankaran (Bath) MSC: 14K10 14K25 14G35 14H40 PDF BibTeX XML Cite \textit{S. Grushevsky} and \textit{M. Möller}, Int. Math. Res. Not. 2016, No. 6, 1603--1639 (2016; Zbl 1338.14046) Full Text: DOI
Kosters, Michiel Deterministically generating Picard groups of hyperelliptic curves over finite fields. (English) Zbl 1396.11093 J. Number Theory 160, 739-758 (2016). MSC: 11G20 14G15 14H45 14C22 11R58 PDF BibTeX XML Cite \textit{M. Kosters}, J. Number Theory 160, 739--758 (2016; Zbl 1396.11093) Full Text: DOI arXiv
Hu, Zhi; Zhang, Guoliang; Xu, Maozhi Some techniques for faster scalar multiplication on GLS curves. (English) Zbl 1343.94065 Inf. Process. Lett. 116, No. 1, 41-46 (2016). MSC: 94A60 11T71 PDF BibTeX XML Cite \textit{Z. Hu} et al., Inf. Process. Lett. 116, No. 1, 41--46 (2016; Zbl 1343.94065) Full Text: DOI
Du, Dianlou; Geng, Xue Action-angle variables for the Lie-Poisson Hamiltonian systems associated with Boussinesq equation. (English) Zbl 07246168 Commun. Nonlinear Sci. Numer. Simul. 30, No. 1-3, 168-181 (2015). MSC: 35 65 PDF BibTeX XML Cite \textit{D. Du} and \textit{X. Geng}, Commun. Nonlinear Sci. Numer. Simul. 30, No. 1--3, 168--181 (2015; Zbl 07246168) Full Text: DOI
Tian, Song; Yu, Wei; Li, Bao; Wang, Kunpeng Some elliptic subcovers of genus 3 hyperelliptic curves. (English) Zbl 1403.14064 Lopez, Javier (ed.) et al., Information security practice and experience. 11th international conference, ISPEC 2015, Beijing, China, May 5–8, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-17532-4/pbk; 978-3-319-17533-1/ebook). Lecture Notes in Computer Science 9065, 181-191 (2015). MSC: 14H52 14G50 94A60 PDF BibTeX XML Cite \textit{S. Tian} et al., Lect. Notes Comput. Sci. 9065, 181--191 (2015; Zbl 1403.14064) Full Text: DOI
Tian, Song; Yu, Wei; Li, Bao; Wang, Kunpeng Models of curves from GHS attack in odd characteristic. (English) Zbl 1403.94084 Lopez, Javier (ed.) et al., Information security practice and experience. 11th international conference, ISPEC 2015, Beijing, China, May 5–8, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-17532-4/pbk; 978-3-319-17533-1/ebook). Lecture Notes in Computer Science 9065, 171-180 (2015). MSC: 94A60 14G50 PDF BibTeX XML Cite \textit{S. Tian} et al., Lect. Notes Comput. Sci. 9065, 171--180 (2015; Zbl 1403.94084) Full Text: DOI
Gunby, Benjamin; Smith, Alexander; Yuan, Allen Irreducible canonical representations in positive characteristic. (English) Zbl 1379.14018 Res. Number Theory 1, Paper No. 3, 25 p. (2015). MSC: 14H37 11G20 14G17 PDF BibTeX XML Cite \textit{B. Gunby} et al., Res. Number Theory 1, Paper No. 3, 25 p. (2015; Zbl 1379.14018) Full Text: DOI arXiv
Abenda, Simonetta On KP multi-soliton solutions associated to rational degenerations of real hyperelliptic curves. (English) Zbl 1379.37127 “Bruno Pini” Mathematical Analysis Seminar 2015. Papers from the seminar, University of Bologna, Bologna, Italy, 2015. Bologna: Università di Bologna, Alma Mater Studiorum. 138-157 (2015). MSC: 37K40 37K20 14H50 14H70 37K10 PDF BibTeX XML Cite \textit{S. Abenda}, in: ``Bruno Pini'' Mathematical Analysis Seminar 2015. Papers from the seminar, University of Bologna, Bologna, Italy, 2015. Bologna: Università di Bologna, Alma Mater Studiorum. 138--157 (2015; Zbl 1379.37127)
De Jong, Robin Point-like limit of the hyperelliptic Zhang-Kawazumi invariant. (English) Zbl 1366.14025 Pure Appl. Math. Q. 11, No. 4, 633-653 (2015). MSC: 14G40 30F60 PDF BibTeX XML Cite \textit{R. De Jong}, Pure Appl. Math. Q. 11, No. 4, 633--653 (2015; Zbl 1366.14025) Full Text: DOI arXiv
Duarte, Eduardo Ruiz; Osuna, Octavio Páez Explicit endomorphism of the Jacobian of a hyperelliptic function field of genus \(2\) using base field operations. (English) Zbl 1374.11071 Stud. Sci. Math. Hung. 52, No. 2, 265-276 (2015). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G20 14H40 14H45 68P25 94A60 PDF BibTeX XML Cite \textit{E. R. Duarte} and \textit{O. P. Osuna}, Stud. Sci. Math. Hung. 52, No. 2, 265--276 (2015; Zbl 1374.11071) Full Text: DOI arXiv
Broughton, S. Allen Superelliptic surfaces as \(p\)-gonal surfaces. (English) Zbl 1346.14074 Izquierdo, Milagros (ed.) et al., Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces. Conference in honour of Emilio Bujalance, Linköping, Sweden, June 24–28, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1093-3/pbk; 978-1-4704-2058-1/ebook). Contemporary Mathematics 629, 15-28 (2015). Reviewer: Ruben A. Hidalgo (Temuco) MSC: 14H37 30F10 30F20 14E20 PDF BibTeX XML Cite \textit{S. A. Broughton}, Contemp. Math. 629, 15--28 (2015; Zbl 1346.14074) Full Text: DOI
Jeon, Daeyeol Automorphism groups of hyperelliptic modular curves. (English) Zbl 1343.14023 Proc. Japan Acad., Ser. A 91, No. 7, 95-100 (2015). MSC: 14H37 14G35 11G18 PDF BibTeX XML Cite \textit{D. Jeon}, Proc. Japan Acad., Ser. A 91, No. 7, 95--100 (2015; Zbl 1343.14023) Full Text: DOI Euclid
McCalla, Peter; Ramaroson, François On the maximality of certain hyperellptic curves with an application to character sums. (English) Zbl 1397.11114 Commun. Math. Anal. 18, No. 2, 76-85 (2015). MSC: 11G25 11L10 14G25 14G15 PDF BibTeX XML Cite \textit{P. McCalla} and \textit{F. Ramaroson}, Commun. Math. Anal. 18, No. 2, 76--85 (2015; Zbl 1397.11114) Full Text: Euclid
Oliveira, Gilvan; Pimentel, Francisco L. R. On Weierstrass semigroups of double coverings of hyperelliptic curves. (English) Zbl 1327.14148 Semigroup Forum 90, No. 3, 721-730 (2015). MSC: 14H45 PDF BibTeX XML Cite \textit{G. Oliveira} and \textit{F. L. R. Pimentel}, Semigroup Forum 90, No. 3, 721--730 (2015; Zbl 1327.14148) Full Text: DOI
Laine, Kim; Lauter, Kristin Time-memory trade-offs for index calculus in genus 3. (English) Zbl 1370.94522 J. Math. Cryptol. 9, No. 2, 95-114 (2015). Reviewer: Andreas Stein (Oldenburg) MSC: 94A60 11Y16 11T71 PDF BibTeX XML Cite \textit{K. Laine} and \textit{K. Lauter}, J. Math. Cryptol. 9, No. 2, 95--114 (2015; Zbl 1370.94522) Full Text: DOI
Casagrande, C. Rank 2 quasiparabolic vector bundles on \(\mathbb P^1\) and the variety of linear subspaces contained in two odd-dimensional quadrics. (English) Zbl 1327.14190 Math. Z. 280, No. 3-4, 981-988 (2015). Reviewer: George H. Hitching (Oslo) MSC: 14J45 14H60 14E05 14D20 PDF BibTeX XML Cite \textit{C. Casagrande}, Math. Z. 280, No. 3--4, 981--988 (2015; Zbl 1327.14190) Full Text: DOI arXiv
Köck, Bernhard; Tait, Joseph Faithfulness of actions on Riemann-Roch spaces. (English) Zbl 1320.14046 Can. J. Math. 67, No. 4, 848-869 (2015). Reviewer: Quentin Gendron (Hannover) MSC: 14H30 30F30 14L30 14D15 11R32 PDF BibTeX XML Cite \textit{B. Köck} and \textit{J. Tait}, Can. J. Math. 67, No. 4, 848--869 (2015; Zbl 1320.14046) Full Text: DOI arXiv
Huyghe, Christine; Wach, Nathalie Galois representations associated to smooth hyperelliptic curves. (Représentations galoisiennes associées aux courbes hyperelliptiques lisses.) (French. English summary) Zbl 1364.11128 Q. J. Math. 66, No. 1, 171-189 (2015). MSC: 11G40 14F30 14F40 14F43 11G30 PDF BibTeX XML Cite \textit{C. Huyghe} and \textit{N. Wach}, Q. J. Math. 66, No. 1, 171--189 (2015; Zbl 1364.11128) Full Text: DOI
Yelton, Jeffrey Images of 2-adic representations associated to hyperelliptic Jacobians. (English) Zbl 1392.11039 J. Number Theory 151, 7-17 (2015). MSC: 11G30 14H40 PDF BibTeX XML Cite \textit{J. Yelton}, J. Number Theory 151, 7--17 (2015; Zbl 1392.11039) Full Text: DOI arXiv
Hou, Yu; Fan, Engui Algebro-geometric solutions for the two-component Hunter-Saxton hierarchy. (English) Zbl 1420.37065 J. Nonlinear Math. Phys. 21, No. 4, 473-508 (2014). MSC: 37K10 35Q53 53C35 PDF BibTeX XML Cite \textit{Y. Hou} and \textit{E. Fan}, J. Nonlinear Math. Phys. 21, No. 4, 473--508 (2014; Zbl 1420.37065) Full Text: DOI
Lin, Chang-Shou Mean field equations, hyperelliptic curves and modular forms. (English) Zbl 1377.35100 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-806-3/hbk; 978-89-6105-803-2/set). 331-343 (2014). MSC: 35J60 58E11 35-02 PDF BibTeX XML Cite \textit{C.-S. Lin}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa. 331--343 (2014; Zbl 1377.35100)
Bhargava, Manjul Rational points on elliptic and hyperelliptic curves. (English) Zbl 1373.11045 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. I: Plenary lectures and ceremonies. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-804-9/hbk; 978-89-6105-803-2/set). 657-684 (2014). MSC: 11G05 11G30 11G40 14H25 20G30 14G05 PDF BibTeX XML Cite \textit{M. Bhargava}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. I: Plenary lectures and ceremonies. Seoul: KM Kyung Moon Sa. 657--684 (2014; Zbl 1373.11045)
Hou, Yu; Fan, Engui Algebro-geometric solutions for the two-component Camassa-Holm Dym hierarchy. (English) Zbl 1349.37066 Chaos Solitons Fractals 67, 43-57 (2014). MSC: 37K10 37K20 PDF BibTeX XML Cite \textit{Y. Hou} and \textit{E. Fan}, Chaos Solitons Fractals 67, 43--57 (2014; Zbl 1349.37066) Full Text: DOI
Wang, Mingqiang; Xue, Haiyang; Zhan, Tao Fault attacks on hyperelliptic curve discrete logarithm problem over binary field. (English) Zbl 1357.94077 Sci. China, Inf. Sci. 57, No. 3, Article ID 032116, 17 p. (2014). MSC: 94A60 14G50 PDF BibTeX XML Cite \textit{M. Wang} et al., Sci. China, Inf. Sci. 57, No. 3, Article ID 032116, 17 p. (2014; Zbl 1357.94077) Full Text: DOI
Ishitsuka, Yasuhiro Complete intersection of two quadrics and Galois cohomology: a research announcement. (Japanese. English summary) Zbl 1365.11085 RIMS Kôkyûroku Bessatsu B51, 163-174 (2014). MSC: 11G30 PDF BibTeX XML Cite \textit{Y. Ishitsuka}, RIMS Kôkyûroku Bessatsu B51, 163--174 (2014; Zbl 1365.11085) Full Text: arXiv
Holmes, David An Arakelov-theoretic approach to naïve heights on hyperelliptic Jacobians. (English) Zbl 1338.11059 New York J. Math. 20, 927-957 (2014). Reviewer: Paul Vojta (Berkeley) MSC: 11G50 11G30 14G40 PDF BibTeX XML Cite \textit{D. Holmes}, New York J. Math. 20, 927--957 (2014; Zbl 1338.11059) Full Text: EMIS
Nobe, Atsushi A geometric realization of the ultradiscrete periodic Toda lattice via tropical plane curves. (English) Zbl 1311.37047 RIMS Kôkyûroku Bessatsu B47, 55-76 (2014). MSC: 37K10 14T05 14H70 PDF BibTeX XML Cite \textit{A. Nobe}, RIMS Kôkyûroku Bessatsu B47, 55--76 (2014; Zbl 1311.37047)
Jacobson, Michael J. jun.; Rezai Rad, Monireh; Scheidler, Renate Comparison of scalar multiplication on real hyperelliptic curves. (English) Zbl 1364.11117 Adv. Math. Commun. 8, No. 4, 389-406 (2014). MSC: 11G20 11Y40 14G50 94A60 PDF BibTeX XML Cite \textit{M. J. Jacobson jun.} et al., Adv. Math. Commun. 8, No. 4, 389--406 (2014; Zbl 1364.11117) Full Text: DOI
Miret, Josep M.; Pujolàs, Jordi; Thériault, Nicolas Trisection for supersingular genus \(2\) curves in characteristic \(2\). (English) Zbl 1364.11119 Adv. Math. Commun. 8, No. 4, 375-387 (2014). MSC: 11G20 14H40 14H45 PDF BibTeX XML Cite \textit{J. M. Miret} et al., Adv. Math. Commun. 8, No. 4, 375--387 (2014; Zbl 1364.11119) Full Text: DOI
Poonen, Bjorn; Stoll, Michael Most odd degree hyperelliptic curves have only one rational point. (English) Zbl 1303.11073 Ann. Math. (2) 180, No. 3, 1137-1166 (2014). Reviewer: Ruben A. Hidalgo (Temuco) MSC: 11G30 14G25 PDF BibTeX XML Cite \textit{B. Poonen} and \textit{M. Stoll}, Ann. Math. (2) 180, No. 3, 1137--1166 (2014; Zbl 1303.11073) Full Text: DOI arXiv
Hou, Yu; Fan, Engui; Zhao, Peng Algebro-geometric solutions for the Hunter-Saxton hierarchy. (English) Zbl 1300.35125 Z. Angew. Math. Phys. 65, No. 3, 487-520 (2014). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{Y. Hou} et al., Z. Angew. Math. Phys. 65, No. 3, 487--520 (2014; Zbl 1300.35125) Full Text: DOI
Harvey, David; Sutherland, Andrew V. Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time. (English) Zbl 1296.11076 LMS J. Comput. Math. 17A, Spec. Iss., 257-273 (2014). MSC: 11G20 11Y16 11M38 14G10 PDF BibTeX XML Cite \textit{D. Harvey} and \textit{A. V. Sutherland}, LMS J. Comput. Math. 17A, 257--273 (2014; Zbl 1296.11076) Full Text: DOI arXiv
Tran, Christophe Formulae for computation of Tate pairing on hyperelliptic curve using hyperelliptic nets. (English) Zbl 1288.94084 Pointcheval, David (ed.) et al., Progress in cryptology – AFRICACRYPT 2014. 7th international conference on cryptology in Africa, Marrakesh, Morocco, May 28–30, 2014. Proceedings. Berlin: Springer (ISBN 978-3-319-06733-9/pbk). Lecture Notes in Computer Science 8469, 199-214 (2014). MSC: 94A60 14G50 68W40 PDF BibTeX XML Cite \textit{C. Tran}, Lect. Notes Comput. Sci. 8469, 199--214 (2014; Zbl 1288.94084) Full Text: DOI
Wangyu, Nan; Sakai, Fumio Hyperelliptic curves among cyclic coverings of the projective line. II. (English) Zbl 1297.14036 Arch. Math. 102, No. 2, 113-116 (2014). Reviewer: Jie Wang (La Jolla) MSC: 14H51 14H30 PDF BibTeX XML Cite \textit{N. Wangyu} and \textit{F. Sakai}, Arch. Math. 102, No. 2, 113--116 (2014; Zbl 1297.14036) Full Text: DOI
You, Lin; Yang, Yilin; Gao, Shuhong; Sang, Yongxuan Fast scalar multiplications on the curve \(v^2 = u^p-au-b\) over the finite field of characteristic \(p\). (English) Zbl 1350.11066 Fundam. Inform. 129, No. 4, 395-412 (2014). MSC: 11G20 14G50 14H52 94A60 PDF BibTeX XML Cite \textit{L. You} et al., Fundam. Inform. 129, No. 4, 395--412 (2014; Zbl 1350.11066) Full Text: DOI
Harvey, David Counting points on hyperelliptic curves in average polynomial time. (English) Zbl 1294.11104 Ann. Math. (2) 179, No. 2, 783-803 (2014). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11G20 11M38 11Y16 PDF BibTeX XML Cite \textit{D. Harvey}, Ann. Math. (2) 179, No. 2, 783--803 (2014; Zbl 1294.11104) Full Text: DOI arXiv
Humphries, Peter On the Mertens conjecture for function fields. (English) Zbl 1303.11109 Int. J. Number Theory 10, No. 2, 341-361 (2014). Reviewer: Josep M. Miret Biosca (Lleida) MSC: 11N56 11G20 11M50 PDF BibTeX XML Cite \textit{P. Humphries}, Int. J. Number Theory 10, No. 2, 341--361 (2014; Zbl 1303.11109) Full Text: DOI arXiv
Sohn, Gyoyong Computing the number of points on genus 3 hyperelliptic curves of type \(Y^2 = X^7 + aX\) over finite prime fields. (English) Zbl 1328.11071 J. Appl. Math. Inform. 32, No. 1-2, 17-26 (2014). MSC: 11G20 14G15 14H45 94A60 14G05 PDF BibTeX XML Cite \textit{G. Sohn}, J. Appl. Math. Inform. 32, No. 1--2, 17--26 (2014; Zbl 1328.11071) Full Text: DOI
Jędrzejak, Tomasz; Ulas, Maciej Variations on twists of tuples of hyperelliptic curves and related results. (English) Zbl 1284.11091 J. Number Theory 137, 222-240 (2014). Reviewer: Michael Th. Rassias (Zürich) MSC: 11G05 PDF BibTeX XML Cite \textit{T. Jędrzejak} and \textit{M. Ulas}, J. Number Theory 137, 222--240 (2014; Zbl 1284.11091) Full Text: DOI arXiv
Zhao, Peng; Fan, Engui; Hou, Yu Algebro-geometric solutions and their reductions for the Fokas-Lenells hierarchy. (English) Zbl 1420.37097 J. Nonlinear Math. Phys. 20, No. 3, 355-393 (2013). MSC: 37K10 35Q53 53C35 PDF BibTeX XML Cite \textit{P. Zhao} et al., J. Nonlinear Math. Phys. 20, No. 3, 355--393 (2013; Zbl 1420.37097) Full Text: DOI