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Found 248 Documents (Results 1–100)

Fast tabulation of challenge pseudoprimes. (English) Zbl 07721138

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 411-423 (2019).
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A new perspective on the powers of two descent for discrete logarithms in finite fields. (English) Zbl 07721134

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 343-352 (2019).
MSC:  11T71 11Y16
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Cyclic extensions of prime degree and their \(p\)-adic regulators. (English) Zbl 07721132

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 311-323 (2019).
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On the construction of class fields. (English) Zbl 07721128

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 239-255 (2019).
MSC:  11R37 11Y40
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Counting roots for polynomials modulo prime powers. (English) Zbl 07721125

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 191-205 (2019).
MSC:  11Y16 11T06 13P15
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Ranks, 2Selmer groups, and Tamagawa numbers of elliptic curves with \(\mathbb{Z} /2\mathbb{Z} \times \mathbb{Z} /8\mathbb{Z}\)-torsion. (English) Zbl 1517.11057

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 173-189 (2019).
MSC:  11G05 11Y40
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Fast coefficient computation for algebraic power series in positive characteristic. (English) Zbl 07721121

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 119-135 (2019).
MSC:  11Y16 12-08 68W30
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Fast multiquadratic S-unit computation and application to the calculation of class groups. (English) Zbl 1517.11134

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 103-118 (2019).
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Computation of triangular integral bases. (English) Zbl 07721118

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 69-84 (2019).
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Computing zeta functions of cyclic covers in large characteristic. (English) Zbl 1517.11119

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 37-53 (2019).
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Counting points on genus-3 hyperelliptic curves with explicit real multiplication. (English) Zbl 07721114

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 1-19 (2019).
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Computing Fourier coefficients of level one modular forms. (English) Zbl 1496.11067

Liang, Zhibin (ed.) et al., The computational and theoretical aspects of elliptic curves. Based on the conferences on “Theoretical and computational aspects of the Birch and Swinnerton-Dyer conjecture”, Beijing, China, December 2014 and Bangalore, India, December 2016. Singapore: Springer. Math. Lect. Peking Univ., 55-67 (2019).
MSC:  11F30 11Y40
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Exponential Diophantine equations. (English) Zbl 1521.11020

Inam, Ilker (ed.) et al., Notes from the international autumn school on computational number theory. Lecture notes and research articles from the international autumn school on computational number theory, Izmir, Turkey, October 30 – November 3, 2017. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 267-309 (2019).
MSC:  11D61 11Y50 11J86
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Computational number theory in relation with \(L\)-functions. (English) Zbl 1520.11106

Inam, Ilker (ed.) et al., Notes from the international autumn school on computational number theory. Lecture notes and research articles from the international autumn school on computational number theory, Izmir, Turkey, October 30 – November 3, 2017. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 171-266 (2019).
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Computational arithmetic of modular forms. (English) Zbl 1517.11034

Inam, Ilker (ed.) et al., Notes from the international autumn school on computational number theory. Lecture notes and research articles from the international autumn school on computational number theory, Izmir, Turkey, October 30 – November 3, 2017. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 63-170 (2019).
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Manin’s constant and modular degree of an elliptic curve. (La constante de Manin et le degré modulaire d’une courbe elliptique.) (French. English summary) Zbl 1468.11122

Actes de la conférence «Analogies between number field and function field : algebraic and analytic approaches ». Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2019, Part 2, 81-103 (2019).
MSC:  11G05 11F67 11Y40
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An effective framework for constructing exponent lattice basis of nonzero algebraic numbers. (English) Zbl 1462.11113

Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 371-378 (2019).
MSC:  11Y40 11Y16 68W30
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Linear Hensel lifting for \(\mathbb{F}_p[x,y]\) and \(\mathbb{Z}[x]\) with cubic cost. (English) Zbl 1467.12002

Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 299-306 (2019).
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Computing a lattice basis revisited. (English) Zbl 1467.11125

Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 275-282 (2019).
MSC:  11Y16 11E12 68W30
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Generic reductions for in-place polynomial multiplication. (English) Zbl 1467.68229

Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 187-194 (2019).
MSC:  68W30 11Y16
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Quadratic-time algorithms for normal elements. (English) Zbl 1467.11124

Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 179-186 (2019).
MSC:  11Y16 11T30 68W30
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Efficient integer-linear decomposition of multivariate polynomials. (English) Zbl 1467.11123

Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 171-178 (2019).
MSC:  11Y16 68W30 33F10
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Efficiently factoring polynomials modulo \(p^4\). (English) Zbl 1467.11113

Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 139-146 (2019).
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Standard lattices of compatibly embedded finite fields. (English) Zbl 1467.11122

Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 122-130 (2019).
MSC:  11Y16 12-08 68W30
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Computational aspects of Hamburger’s theorem. (English) Zbl 1461.11114

Fillion, Nicolas (ed.) et al., Algorithms and complexity in mathematics, epistemology, and science. Proceedings of 2015 and 2016 ACMES conferences, London, UK. Selected papers. New York, NY: Springer; Toronto: The Fields Institute for Research in the Mathematical Sciences. Fields Inst. Commun. 82, 195-223 (2019).
MSC:  11M06 11Y99
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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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Cycles in the supersingular \(\ell \)-isogeny graph and corresponding endomorphisms. (English) Zbl 1436.11148

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, 41-66 (2019).
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Quantum algorithms for the approximate \(k\)-list problem and their application to lattice sieving. (English) Zbl 1456.94093

Galbraith, Steven D. (ed.) et al., Advances in cryptology – ASIACRYPT 2019. 25th international conference on the theory and application of cryptology and information security, Kobe, Japan, December 8–12, 2019. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 11921, 521-551 (2019).
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An algorithm for solving a quartic Diophantine equation satisfying Runge’s condition. (English) Zbl 1456.11237

England, Matthew (ed.) et al., Computer algebra in scientific computing. 21st international workshop, CASC 2019, Moscow, Russia, August 26–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11661, 377-392 (2019).
MSC:  11Y50 11D25
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On the scalar complexity of Chudnovsky\(^2\) multiplication algorithm in finite fields. (English) Zbl 1456.11235

Ćirić, Miroslav (ed.) et al., Algebraic informatics. 8th international conference, CAI 2019, Niš, Serbia, June 30 – July 4, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11545, 64-75 (2019).
MSC:  11Y16 11R58 14G50
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Quantum LLL with an application to Mersenne number cryptosystems. (English) Zbl 1453.94119

Schwabe, Peter (ed.) et al., Progress in cryptology – LATINCRYPT 2019. 6th international conference on cryptology and information security in Latin America, Santiago de Chile, Chile, October 2–4, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11774, 3-23 (2019).
MSC:  94A60 11Y16
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The karyon algorithm for expansion in multidimensional continued fractions. (English. Russian original) Zbl 1440.40002

J. Math. Sci., New York 242, No. 4, 487-508 (2019); translation from Zap. Nauchn. Semin. POMI 469, 32-63 (2018).
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Computing \(p\)-adic periods of abelian varieties from automorphic forms. (English) Zbl 1471.11203

Anni, Samuele (ed.) et al., Automorphic forms and related topics. Building bridges: 3rd EU/US summer school and workshop on automorphic forms and related topics, Sarajevo, Bosnia and Herzegovina, July 11–22, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 732, 75-83 (2019).
MSC:  11G40 11F41 11Y99
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