Found 3,198 Documents (Results 1–100)

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Feigin-Odesskii brackets, syzygies, and Cremona transformations. (English)Zbl 07549987

MSC:  14E07 16E05
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On the classification and evolution of bifurcation curves for a quasilinear regularized MEMS model. (English)Zbl 07544578

MSC:  34Bxx 35Jxx 34Cxx
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MSC:  55R80
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Elliptic curves over a nonlocal ring $$\mathbb{F}_{2^d}[\varepsilon]$$, $$\varepsilon^2=\varepsilon$$. (English)Zbl 07539557

MSC:  22E46 53C35 57S20
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Pairs of Heron and right triangles with a common area and a common perimeter. (English)Zbl 07523947

MSC:  11D25 11G05
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Concordant pairs in ratios with rank at least two and the distribution of $$\theta$$-congruent numbers. (English)Zbl 07522860

MSC:  11G05 11D09 11D45
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An anonymous SIP authenticated key agreement protocol based on elliptic curve cryptography. (English)Zbl 07513157

MSC:  94A60 14G50
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Linear complexity of some sequences derived from hyperelliptic curves of genus 2. (English)Zbl 1484.11141

MSC:  11G20 11K45 11T71
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Semistable Higgs bundles on elliptic surfaces. (English)Zbl 07510942

MSC:  14H60 14J27 14J60
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Frobenius distributions of elliptic curves in short intervals on average. (English)Zbl 07510926

MSC:  11G05 11N05
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Poncelet plectra: harmonious curves in cosine space. (English)Zbl 1485.51021

MSC:  51N20 51M04
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Number of rational points of elliptic curves. (English)Zbl 07490779

MSC:  11G05 14G05 11H06
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Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic. (English)Zbl 07485052

MSC:  11Y16 14H52 11T71
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Elliptic curves with non-abelian entanglements. (English)Zbl 07474314

MSC:  11G05 11F80
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On a class of generalized Fermat equations of signature $$(2,2n,3)$$. (English)Zbl 07466547

MSC:  11D61 11B39
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Simplified isogeny formulas on twisted Jacobi quartic curves. (English)Zbl 07457369

MSC:  14H52 14K02 11T71
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Pairing Pythagorean pairs. (English)Zbl 1484.11104

MSC:  11D72 11G05
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Elliptic curve and integer factorization. (English)Zbl 07551629

Yu, Yu (ed.) et al., Information security and cryptology. 17th international conference, Inscrypt 2021, virtual event, August 12–14, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13007, 316-330 (2021).
MSC:  11Yxx 94A60
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Maximally inflected real trigonal curves on Hirzebruch surfaces. (English)Zbl 07548675

Vershik, Anatoly M. (ed.) et al., Conference on topology, geometry, and dynamics. V. A. Rokhlin-100. The Euler International Mathematical Institute and Steklov Institute of Mathematics, St. Petersburg, Russia, August 19–23, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 772, 331-345 (2021).
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Resistance of isogeny-based cryptographic implementations to a fault attack. (English)Zbl 07543903

Bhasin, Shivam (ed.) et al., Constructive side-channel analysis and secure design. 12th international workshop, COSADE 2021, Lugano, Switzerland, October 25–27, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12910, 255-276 (2021).
MSC:  94A60 81P94 14G50
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Efficient key-dependent dynamic S-boxes based on permutated elliptic curves. (English)Zbl 07510170

MSC:  94A60 14G50 11G05
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QTT-isogeometric solver in two dimensions. (English)Zbl 07508443

MSC:  65-XX 35-XX
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From the algebraic methods of Diophantus-Fermats-Euler to the arithmetic of algebraic curves: about the history of Diophantine equations after Euler. (Russian. English summary)Zbl 07499730

MSC:  01A50 01A55 11-03
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Trapdoor DDH groups from pairings and isogenies. (English)Zbl 1485.94102

Dunkelman, Orr (ed.) et al., Selected areas in cryptography. 27th international conference, Halifax, NS, Canada (virtual event), October 21–23, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12804, 431-450 (2021).
MSC:  94A60 11G07 14G50
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On index calculus algorithms for subfield curves. (English)Zbl 1485.94086

Dunkelman, Orr (ed.) et al., Selected areas in cryptography. 27th international conference, Halifax, NS, Canada (virtual event), October 21–23, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12804, 115-138 (2021).
MSC:  94A60 11G07 14G50
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Power of Frobenius endomorphism and its performance on pseudoTNAF system. (English)Zbl 07495729

MSC:  94A60 11B25 11T71
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Efficient FPGA design of exception-free generic elliptic curve cryptosystems. (English)Zbl 07493498

Sako, Kazue (ed.) et al., Applied cryptography and network security. 19th international conference, ACNS 2021, Kamakura, Japan, June 21–24, 2021. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 12726, 393-414 (2021).
MSC:  94A60
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History of integer factorisation. (English)Zbl 1483.94058

Bos, Joppe W. (ed.) et al., Computational cryptography. Algorithmic aspects of cryptology. A tribute to Arjen K. Lenstra on the occasion of his 65th birthday. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 469, 41-77 (2021).
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The elliptic scalar multiplication graph and its application in elliptic curve cryptography. (English)Zbl 1483.94032

MSC:  94A60 14H52 05C50
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Scalar multiplication in elliptic curve libraries. (English)Zbl 1483.94031

MSC:  94A60 14H52
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Class number problem for a family of real quadratic fields. (English)Zbl 1483.11111

MSC:  11G05 11R11 11R29
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Kolyvagin’s work and anticyclotomic tower fields: the supersingular case. (English)Zbl 1483.11116

MSC:  11G05 11R23
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Elliptic curves with all quartic twists of the same root number. (English)Zbl 07473072

MSC:  11G05 11G07
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Revisiting the moduli space of semistable $$G$$-bundles over elliptic curves. (Les espaces des modules des $$G$$-fibrés semistables sur une courbe elliptique revisités.) (English. French summary)Zbl 1485.14023

MSC:  14D20 14D23
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Image encryption technology based on fractional two-dimensional discrete chaotic map accompanied with Menezes-Vanstone elliptic curve cryptosystem. (English)Zbl 07465407

MSC:  94A60 94A08 70K55
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Rank growth of elliptic curves in non-abelian extensions. (English)Zbl 07456792

MSC:  11G05 11N45
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MSC:  11Y11
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Sliding bifurcation in planar piecewise smooth systems with two zones separated by an ellipse. (English)Zbl 07443142

MSC:  34A36 34C05 34C23
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The Mordell-Weil bases for the elliptic curve $$y^2=x^3-m^2x+m^2$$. (English)Zbl 07442479

MSC:  11G05 11D59
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A variety of Euler’s sum of powers conjecture. (English)Zbl 07442476

MSC:  11D72 11D41 11G05
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Pre-computation scheme of window $$\tau$$NAF for Koblitz curves revisited. (English)Zbl 1479.94353

Canteaut, Anne (ed.) et al., Advances in cryptology – EUROCRYPT 2021. 40th annual international conference on the theory and applications of cryptographic techniques, Zagreb, Croatia, October 17–21, 2021. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 12697, 187-218 (2021).
MSC:  94A62 94A60
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On certain Diophantine equations concerning the area of right triangles. (English)Zbl 1478.51009

MSC:  51M25 11D25 11D72
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Cube sums of the forms $$3p$$ and $$3p^2$$. (English)Zbl 07428897

MSC:  11G05 11G40 14G10
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Closed orbits of Reeb fields on Sasakian manifolds and elliptic curves on Vaisman manifolds. (English)Zbl 07428896

MSC:  53C25 53C55 32V99
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Diophantine triple with Fibonacci numbers and elliptic curve. (English)Zbl 07424086

MSC:  11B39 11G05 11D09
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MSC:  68-XX
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The number of positive integer points on the elliptic curve $${y^2} = pqx({x^2} + 2)$$. (Chinese. English summary)Zbl 07404465

MSC:  14H52 11D25

MSC:  94A60
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An application of the arithmetic of elliptic curves to the class number problem for quadratic fields. (English)Zbl 1477.11182

MSC:  11R11 11R29 11G05
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Kolyvagin derivatives of modular points on elliptic curves. (English)Zbl 1480.11072

MSC:  11G05 11G18
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New results on quasi-subfield polynomials. (English)Zbl 1483.11258

MSC:  11T06 11T71 94A60
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MSC:  11G05
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MSC:  11G05
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Square curious numbers. (English)Zbl 07379163

MSC:  11A63 11A07 11G05
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Non-monogenic division fields of elliptic curves. (English)Zbl 1473.11124

MSC:  11G05 11R04
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Geometry of the stable ruled surface over an elliptic curve. (English)Zbl 1467.14093

MSC:  14J26 14C21 14H52
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MSC:  11G05
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DAHAs and skein theory. (English)Zbl 1478.57009

MSC:  57K10 57K20
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MSC:  11R23
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Equidistribution on Kuga-Sato varieties of torsion points on CM elliptic curves. (English)Zbl 07367682

MSC:  11G18 11G05 37A17
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The positive integer solutions of elliptic curves $${y^2} = qx ({x^2} - 256)$$. (Chinese. English summary)Zbl 1474.11087

MSC:  11D25 11G05 11G07
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Rational points in geometric progression on the unit circle. (English)Zbl 1474.11114

MSC:  11G05 14G05
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Differential spectra of a class of power permutations with characteristic 5. (English)Zbl 07362482

MSC:  11T06 94A60 11T71
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Elliptic curves with Galois-stable cyclic subgroups of order 4. (English)Zbl 1478.11084

MSC:  11G05 14H52
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Hyperbolic congruent numbers. (English)Zbl 1481.11029

MSC:  11D09 11D45 11G05
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Generalized Birch lemma and the 2-part of the Birch and Swinnerton-Dyer conjecture for certain elliptic curves. (English)Zbl 1481.11068

MSC:  11G40 11G05 14H52
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Twelve rational curves on Enriques surfaces. (English)Zbl 1464.14041

MSC:  14J28 14J27 14C20
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Fundamentals of cryptography. Introducing mathematical and algorithmic foundations. (English)Zbl 1467.94001

Undergraduate Topics in Computer Science. Cham: Springer (ISBN 978-3-030-73491-6/pbk; 978-3-030-73492-3/ebook). xv, 278 p. (2021).
MSC:  94-01 94A60 11G07
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