## Found 1,059 Documents (Results 1–100)

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### Linear complexity of some sequences derived from hyperelliptic curves of genus 2. (English)Zbl 07513134

MSC:  11G20 11K45 11T71
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### On the classification problem for polynomials $$f$$ with a periodic continued fraction expansion of $$\sqrt{f}$$ in hyperelliptic fields. (English. Russian original)Zbl 1483.11123

Izv. Math. 85, No. 5, 972-1007 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 5, 152-189 (2021).
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### Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves. (English)Zbl 1480.65042

MSC:  65D17 65D18
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### Generalizations of Jacobsthal sums and hypergeometric series over finite fields. (English)Zbl 1475.11214

MSC:  11T24 11G20
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### Space curves, $$X$$-ranks and cuspidal projections. (English)Zbl 1476.14066

MSC:  14H50 14N05
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### Fast scalar multiplication of degenerate divisors for hyperelliptic curve cryptosystems. (English)Zbl 07424132

MSC:  11G20 14G50
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### Correlation of shifted values of $$L$$-functions in the hyperelliptic ensemble. (English)Zbl 1483.11255

MSC:  11R59 11T06 11M50
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### Towards the Sato-Tate groups of trinomial hyperelliptic curves. (English)Zbl 1474.11121

MSC:  11G30 11G10
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### Brauer groups of moduli of hyperelliptic curves via cohomological invariants. (English)Zbl 07406572

MSC:  14F22 14H10
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### Characterizing gonality for two-component stable curves. (English)Zbl 1471.14063

MSC:  14H10 14H51
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### Local deformations of branched projective structures: Schiffer variations and the Teichmüller map. (English)Zbl 1480.57025

MSC:  57M50 14H15 32G05
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### Factoring polynomials over finite fields. (English)Zbl 1471.11288

MSC:  11T06 14H40 11G99
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### Two-descent on some genus two curves. (English)Zbl 1480.11082

MSC:  11G30 14G05
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### Invariant algebraic curves and hyperelliptic limit cycles of Liénard systems. (English)Zbl 1478.34041

MSC:  34C07 34C05 34C45
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### Hyperelliptic curves and newform coefficients. (English)Zbl 07355823

MSC:  11G30 11F30
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### Pencils on surfaces with normal crossings and the Kodaira dimension of $$\overline{\mathcal{M}}_{g,n}$$. (English)Zbl 1462.14030

MSC:  14H10 14H45 14M20
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### Tropical hyperelliptic curves in the plane. (English)Zbl 1460.14147

MSC:  14T20 14H51
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### Pairs of rational triangles with equal symmetric invariants. (English)Zbl 1453.14072

MSC:  14G05 11G30 11Y50
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### The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces. (English)Zbl 1483.37075

Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 288-312 (2020).
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### The number of partitions of a set and superelliptic Diophantine equations. (English)Zbl 1470.11177

Raigorodskii, Andrei M. (ed.) et al., Discrete mathematics and applications. Cham: Springer. Springer Optim. Appl. 165, 35-55 (2020).
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### Division polynomials for hyperelliptic curves defined by Dickson polynomials. (English)Zbl 1470.11173

MSC:  11G20 94A60
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### Differential forms on hyperelliptic curves with semistable reduction. (English)Zbl 1469.11205

MSC:  11G20 14H25 11G40
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### Periodic trajectories of ellipsoidal billiards in the 3-dimensional Minkowski space. (English)Zbl 1464.37063

Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 159-174 (2020).
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### Genus 3 hyperelliptic curves with CM via Shimura reciprocity. (English)Zbl 1457.11093

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). Open Book Ser. 4, 161-178 (2020).
MSC:  11G30 11G15
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### Hyperelliptic curves with maximal Galois action on the torsion points of their Jacobians. (English)Zbl 1456.11118

MSC:  11G30 14H40
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### On calculation of the group of automorphisms of hyperelliptic curves. (English. Russian original)Zbl 1451.14166

J. Math. Sci., New York 251, No. 3, 395-404 (2020); translation from Zap. Nauchn. Semin. POMI 485, 140-154 (2019).
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### Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. (English)Zbl 1456.11101

MSC:  11G05 11R29
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### On $$S$$-units for valuations of the second degree in hyperelliptic fields. (English. Russian original)Zbl 1457.11159

Izv. Math. 84, No. 2, 392-435 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 2, 197-242 (2020).
MSC:  11R58 11J70 11R27
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### Gaps between divisible terms in $$a^2(a^2 + 1)$$. (English)Zbl 1468.11196

Bull. Aust. Math. Soc. 101, No. 3, 396-400 (2020); correction ibid. 103, No. 1, 176 (2021).
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### Computing the topology of a plane or space hyperelliptic curve. (English)Zbl 1442.14182

MSC:  14Q05 14H50
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### The moduli space of real vector bundles of rank two over a real hyperelliptic curve. (English)Zbl 1445.14052

MSC:  14H60 14H81 14P05
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### On the number of hyperelliptic limit cycles of Liénard systems. (English)Zbl 1453.34045

MSC:  34C05 34C07 34A34
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### Twists of hyperelliptic curves by integers in progressions modulo $$p$$. (English)Zbl 1469.11214

MSC:  11G30 11N32 11N36
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### Polynomial Pell equations $$P(x)^2-(x^{2m}+ax+b) Q(x)^2 = 1$$ and associated hyperelliptic curves. (English)Zbl 1441.11168

MSC:  11G30 11G20 11G25
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### Chabauty-Coleman experiments for genus 3 hyperelliptic curves. (English)Zbl 1436.11149

Balakrishnan, Jennifer S. (ed.) et al., Research directions in number theory. Women in numbers IV. Proceedings of the women in numbers, WIN4 workshop. Banff International Research Station, Banff, Alberta, Canada, August 14–18, 2017. Cham: Springer. Assoc. Women Math. Ser. 19, 67-90 (2019).
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### 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).
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### Hyperelliptic curves and arithmetic functions. (English)Zbl 1449.11074

MSC:  11F41 11G30 20H05
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### On monodromy in families of elliptic curves over $$\mathbb{C}$$. (English)Zbl 1458.14013

MSC:  14D05 14H52 14J26
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### Difference Krichever-Novikov operators of rank 2. (English. Russian original)Zbl 1431.39009

Proc. Steklov Inst. Math. 305, 195-208 (2019); translation from Tr. Mat. Inst. Steklova 305, 211-224 (2019).
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### On the gonality of graphs and connections to orientable genus. (English)Zbl 1422.05038

MSC:  05C10 11G18 14H51
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### Semistable types of hyperelliptic curves. (English)Zbl 1464.11060

Beshaj, Lubjana (ed.) et al., Algebraic curves and their applications. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 724, 73-135 (2019).
MSC:  11G20 14H45 05C22
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### Decompositions in local heights. (Décompositions en hauteurs locales.) (French. English summary)Zbl 1459.11143

Aubry, Yves (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 722, 121-140 (2019).
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### Classes of Weierstrass points on genus 2 curves. (English)Zbl 1420.14078

MSC:  14H99 14C99
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### Statistics for products of traces of high powers of the Frobenius class of hyperelliptic curves in even characteristic. (English)Zbl 1456.11114

MSC:  11G20 11T55 11M38
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### Average values on the Jacobian variety of a hyperelliptic curve. (English)Zbl 1472.11177

MSC:  11G05 14H40 14H52
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### 2-Selmer groups of hyperelliptic curves with marked points. (English)Zbl 1444.11138

MSC:  11G30 11G10 14G05
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### Division by 2 on odd-degree hyperelliptic curves and their Jacobians. (English. Russian original)Zbl 1419.14044

Izv. Math. 83, No. 3, 501-520 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 93-112 (2019).
MSC:  14H40 14G27 11G10
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### The number of rational points of hyperelliptic curves over subsets of finite fields. (English)Zbl 1437.11086

MSC:  11G20 14H25 94A62
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### Note on the mean values of derivatives of quadratic Dirichlet $$L$$-functions in function fields. (English)Zbl 1440.11215

MSC:  11R59 11R58
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### 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

MSC:  34M55 33E17 14H70
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### Improved complexity bounds for counting points on hyperelliptic curves. (English)Zbl 1470.11170

MSC:  11G20 11Y16 11M38
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