Svinin, Andrei K. Somos-4 equation and related equations. (English) Zbl 07796430 Adv. Appl. Math. 153, Article ID 102609, 21 p. (2024). MSC: 11B37 11B39 PDFBibTeX XMLCite \textit{A. K. Svinin}, Adv. Appl. Math. 153, Article ID 102609, 21 p. (2024; Zbl 07796430) Full Text: DOI arXiv
Bellés-Muñoz, Marta; Jiménez Urroz, Jorge; Silva, Javier Revisiting cycles of pairing-friendly elliptic curves. (English) Zbl 07799216 Handschuh, Helena (ed.) et al., Advances in cryptology – CRYPTO 2023. 43rd annual international cryptology conference, CRYPTO 2023, Santa Barbara, CA, USA, August 20–24, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14082, 3-37 (2023). MSC: 94A60 11G20 14G50 11T71 11Y16 14H52 68Q15 94A62 11G05 PDFBibTeX XMLCite \textit{M. Bellés-Muñoz} et al., Lect. Notes Comput. Sci. 14082, 3--37 (2023; Zbl 07799216) Full Text: DOI
Verzobio, Matteo Some effectivity results for primitive divisors of elliptic divisibility sequences. (English) Zbl 07792064 Pac. J. Math. 325, No. 2, 331-351 (2023). MSC: 11B39 11G05 11G50 PDFBibTeX XMLCite \textit{M. Verzobio}, Pac. J. Math. 325, No. 2, 331--351 (2023; Zbl 07792064) Full Text: DOI arXiv
Gezer, Betül; Bizim, Osman On the product of translated division polynomials and Somos sequences. (English) Zbl 07787829 Funct. Approximatio, Comment. Math. 69, No. 1, 55-75 (2023). MSC: 14H52 11B37 11G07 PDFBibTeX XMLCite \textit{B. Gezer} and \textit{O. Bizim}, Funct. Approximatio, Comment. Math. 69, No. 1, 55--75 (2023; Zbl 07787829) Full Text: DOI
Blomer, Valentin (ed.); Einsiedler, Manfred (ed.); Kowalski, Emmanuel (ed.); Viazovska, Maryna (ed.) Group actions and harmonic analysis in number theory. Abstracts from the workshop held May 7–12, 2023. (English) Zbl 1528.11001 Oberwolfach Rep. 20, No. 2, 1195-1262 (2023). MSC: 11-06 00B05 00B25 11Fxx 11Mxx 11T23 22Exx 37A17 42Axx PDFBibTeX XMLCite \textit{V. Blomer} (ed.) et al., Oberwolfach Rep. 20, No. 2, 1195--1262 (2023; Zbl 1528.11001) Full Text: DOI
De Feo, Luca; Leroux, Antonin; Longa, Patrick; Wesolowski, Benjamin New algorithms for the Deuring correspondence. Towards practical and secure SQISign signatures. (English) Zbl 1528.94095 Hazay, Carmit (ed.) et al., Advances in cryptology – EUROCRYPT 2023. 42nd annual international conference on the theory and applications of cryptographic techniques, Lyon, France, April 23–27, 2023. Proceedings. Part V. Cham: Springer. Lect. Notes Comput. Sci. 14008, 659-690 (2023). MSC: 94A62 94A60 81P94 14G50 11G07 PDFBibTeX XMLCite \textit{L. De Feo} et al., Lect. Notes Comput. Sci. 14008, 659--690 (2023; Zbl 1528.94095) Full Text: DOI
Robert, Damien Breaking SIDH in polynomial time. (English) Zbl 1528.94075 Hazay, Carmit (ed.) et al., Advances in cryptology – EUROCRYPT 2023. 42nd annual international conference on the theory and applications of cryptographic techniques, Lyon, France, April 23–27, 2023. Proceedings. Part V. Cham: Springer. Lect. Notes Comput. Sci. 14008, 472-503 (2023). MSC: 94A60 11Y16 14K02 11G20 81P94 14H52 14K15 11G10 14G50 PDFBibTeX XMLCite \textit{D. Robert}, Lect. Notes Comput. Sci. 14008, 472--503 (2023; Zbl 1528.94075) Full Text: DOI
Maino, Luciano; Martindale, Chloe; Panny, Lorenz; Pope, Giacomo; Wesolowski, Benjamin A direct key recovery attack on SIDH. (English) Zbl 1528.94070 Hazay, Carmit (ed.) et al., Advances in cryptology – EUROCRYPT 2023. 42nd annual international conference on the theory and applications of cryptographic techniques, Lyon, France, April 23–27, 2023. Proceedings. Part V. Cham: Springer. Lect. Notes Comput. Sci. 14008, 448-471 (2023). MSC: 94A60 81P94 11G30 11G20 14G50 14H40 PDFBibTeX XMLCite \textit{L. Maino} et al., Lect. Notes Comput. Sci. 14008, 448--471 (2023; Zbl 1528.94070) Full Text: DOI
Castryck, Wouter; Decru, Thomas An efficient key recovery attack on SIDH. (English) Zbl 1528.94038 Hazay, Carmit (ed.) et al., Advances in cryptology – EUROCRYPT 2023. 42nd annual international conference on the theory and applications of cryptographic techniques, Lyon, France, April 23–27, 2023. Proceedings. Part V. Cham: Springer. Lect. Notes Comput. Sci. 14008, 423-447 (2023). MSC: 94A60 81P94 11G30 11G20 14G50 14H40 PDFBibTeX XMLCite \textit{W. Castryck} and \textit{T. Decru}, Lect. Notes Comput. Sci. 14008, 423--447 (2023; Zbl 1528.94038) Full Text: DOI
Basso, Andrea; Codogni, Giulio; Connolly, Deirdre; De Feo, Luca; Fouotsa, Tako Boris; Lido, Guido Maria; Morrison, Travis; Panny, Lorenz; Patranabis, Sikhar; Wesolowski, Benjamin Supersingular curves you can trust. (English) Zbl 07773994 Hazay, Carmit (ed.) et al., Advances in cryptology – EUROCRYPT 2023. 42nd annual international conference on the theory and applications of cryptographic techniques, Lyon, France, April 23–27, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14005, 405-437 (2023). MSC: 94A60 14G50 11G07 PDFBibTeX XMLCite \textit{A. Basso} et al., Lect. Notes Comput. Sci. 14005, 405--437 (2023; Zbl 07773994) Full Text: DOI
Feo, Luca De; Fouotsa, Tako Boris; Kutas, Péter; Leroux, Antonin; Merz, Simon-Philipp; Panny, Lorenz; Wesolowski, Benjamin SCALLOP: scaling the CSI-FiSh. (English) Zbl 1527.94038 Boldyreva, Alexandra (ed.) et al., Public-key cryptography – PKC 2023. 26th IACR international conference on practice and theory of public-key cryptography, Atlanta, GA, USA, May 7–10, 2023. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 13940, 345-375 (2023). MSC: 94A60 81P94 94A62 11G20 14H52 11G05 PDFBibTeX XMLCite \textit{L. De Feo} et al., Lect. Notes Comput. Sci. 13940, 345--375 (2023; Zbl 1527.94038) Full Text: DOI
Aranha, Diego F.; El Housni, Youssef; Guillevic, Aurore A survey of elliptic curves for proof systems. (English) Zbl 07761859 Des. Codes Cryptography 91, No. 11, 3333-3378 (2023). MSC: 11T71 11Y16 11-04 11Y40 PDFBibTeX XMLCite \textit{D. F. Aranha} et al., Des. Codes Cryptography 91, No. 11, 3333--3378 (2023; Zbl 07761859) Full Text: DOI
Arpin, Sarah; Chen, Mingjie; Lauter, Kristin E.; Scheidler, Renate; Stange, Katherine E.; Tran, Ha T. N. Orienteering with one endomorphism. (English) Zbl 1524.14057 Matematica 2, No. 3, 523-582 (2023). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14G50 94A60 11G20 14K02 11-04 11R52 PDFBibTeX XMLCite \textit{S. Arpin} et al., Matematica 2, No. 3, 523--582 (2023; Zbl 1524.14057) Full Text: DOI arXiv OA License
Bhakta, Subham; Loughran, Daniel; Rydin Myerson, Simon L.; Nakahara, Masahiro The elliptic sieve and Brauer groups. (English) Zbl 07740463 Proc. Lond. Math. Soc. (3) 126, No. 6, 1884-1922 (2023). MSC: 14G05 11N36 14F22 11G05 PDFBibTeX XMLCite \textit{S. Bhakta} et al., Proc. Lond. Math. Soc. (3) 126, No. 6, 1884--1922 (2023; Zbl 07740463) Full Text: DOI arXiv OA License
Yakkou, Hamid Ben On nonmonogenic number fields defined by trinomials of type \(x^n +ax^m+b\). (English) Zbl 07731139 Rocky Mt. J. Math. 53, No. 3, 685-699 (2023). Reviewer: Masanari Kida (Tōkyō) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{H. B. Yakkou}, Rocky Mt. J. Math. 53, No. 3, 685--699 (2023; Zbl 07731139) Full Text: DOI arXiv Link
El Fadil, Lhoussain On index and monogenity of certain number fields defined by trinomials. (English) Zbl 1524.11190 Math. Slovaca 73, No. 4, 861-870 (2023). MSC: 11R04 11R21 11Y40 PDFBibTeX XMLCite \textit{L. El Fadil}, Math. Slovaca 73, No. 4, 861--870 (2023; Zbl 1524.11190) Full Text: DOI arXiv
El Fadil, Lhoussain On common index divisor and monogenity of certain number fields defined by trinomials \(X^6 + AX + B\). (English) Zbl 07727198 Quaest. Math. 46, No. 8, 1609-1627 (2023). Reviewer: Azizul Hoque (Allahabad) MSC: 11R04 11Y40 11R09 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, Quaest. Math. 46, No. 8, 1609--1627 (2023; Zbl 07727198) Full Text: DOI arXiv
Arnold, Maxim; Eydelzon, Anatoly Finite Gauss transformations. (English) Zbl 1515.11067 Math. Intell. 45, No. 2, 159-164 (2023). MSC: 11J70 28D05 PDFBibTeX XMLCite \textit{M. Arnold} and \textit{A. Eydelzon}, Math. Intell. 45, No. 2, 159--164 (2023; Zbl 1515.11067) Full Text: DOI
Streng, Marco Generators of the group of modular units for \(\Gamma^1(N)\) over the rationals. (Générateurs du groupe des unités modulaires pour \(\Gamma^1(N)\) sur les rationnels.) (English. French summary) Zbl 07697373 Ann. Henri Lebesgue 6, 95-116 (2023). MSC: 11G16 11B37 11B39 11F03 14H52 PDFBibTeX XMLCite \textit{M. Streng}, Ann. Henri Lebesgue 6, 95--116 (2023; Zbl 07697373) Full Text: DOI arXiv
Cojocaru, Alina Carmen; Wang, Tian Bounds for the distribution of the Frobenius traces associated to products of non-CM elliptic curves. (English) Zbl 1525.11062 Can. J. Math. 75, No. 3, 687-712 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 11G05 11G20 11N05 11N36 11N37 11N56 PDFBibTeX XMLCite \textit{A. C. Cojocaru} and \textit{T. Wang}, Can. J. Math. 75, No. 3, 687--712 (2023; Zbl 1525.11062) Full Text: DOI arXiv
Kapovich, Michael; Kontorovich, Alex On superintegral Kleinian sphere packings, bugs, and arithmetic groups. (English) Zbl 1512.52024 J. Reine Angew. Math. 798, 105-142 (2023). MSC: 52C17 52C26 20F55 51F15 11H31 PDFBibTeX XMLCite \textit{M. Kapovich} and \textit{A. Kontorovich}, J. Reine Angew. Math. 798, 105--142 (2023; Zbl 1512.52024) Full Text: DOI arXiv
Ray, Anwesh Rational points on algebraic curves in infinite towers of number fields. (English) Zbl 1523.11104 Ramanujan J. 60, No. 3, 809-824 (2023). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G10 11G30 11R23 14H40 PDFBibTeX XMLCite \textit{A. Ray}, Ramanujan J. 60, No. 3, 809--824 (2023; Zbl 1523.11104) Full Text: DOI arXiv
Martin, Daniel E. Continued fractions over non-Euclidean imaginary quadratic rings. (English) Zbl 1510.11024 J. Number Theory 243, 688-714 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11A55 11J17 11J70 11Y65 11A05 11R11 PDFBibTeX XMLCite \textit{D. E. Martin}, J. Number Theory 243, 688--714 (2023; Zbl 1510.11024) Full Text: DOI arXiv
Panraksa, Chatchawan; Tangboonduangjit, Aram Some divisibility properties concerning Lucas and elliptic divisibility sequences. (English) Zbl 1511.11018 J. Integer Seq. 25, No. 9, Article 22.9.2, 15 p. (2022). Reviewer: Hayder Hashim (Kufa) MSC: 11B39 11B83 PDFBibTeX XMLCite \textit{C. Panraksa} and \textit{A. Tangboonduangjit}, J. Integer Seq. 25, No. 9, Article 22.9.2, 15 p. (2022; Zbl 1511.11018) Full Text: Link
Yakkou, Hamid Ben; El Fadil, Lhoussain On monogenity of certain number fields defined by trinomials. (English) Zbl 1515.11108 Funct. Approximatio, Comment. Math. 67, No. 2, 199-221 (2022). Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar) MSC: 11R04 11R21 PDFBibTeX XMLCite \textit{H. B. Yakkou} and \textit{L. El Fadil}, Funct. Approximatio, Comment. Math. 67, No. 2, 199--221 (2022; Zbl 1515.11108) Full Text: DOI arXiv Link
Jha, Abhishek On terms in a dynamical divisibility sequence having a fixed g.c.d with their indices. (English) Zbl 1511.37115 New York J. Math. 28, 1152-1171 (2022). Reviewer: Wade Hindes (San Marcos) MSC: 37P05 11C08 11A05 11B05 PDFBibTeX XMLCite \textit{A. Jha}, New York J. Math. 28, 1152--1171 (2022; Zbl 1511.37115) Full Text: arXiv Link Backlinks: MO
Agievich, S. V.; Poruchnik, S. V.; Semenov, V. I. Small scalar multiplication on Weierstrass curves using division polynomials. (English) Zbl 1497.11165 Mat. Vopr. Kriptografii 13, No. 2, 17-35 (2022). MSC: 11G20 11T71 11Y16 94A60 PDFBibTeX XMLCite \textit{S. V. Agievich} et al., Mat. Vopr. Kriptografii 13, No. 2, 17--35 (2022; Zbl 1497.11165) Full Text: DOI MNR
Gaál, István On the monogenity of certain binomial compositions. (English) Zbl 07602850 JP J. Algebra Number Theory Appl. 57, 1-16 (2022). Reviewer: Leonard Jones (Shippensburg) MSC: 11R04 11R09 11R16 11Y50 PDFBibTeX XMLCite \textit{I. Gaál}, JP J. Algebra Number Theory Appl. 57, 1--16 (2022; Zbl 07602850) Full Text: DOI
Blanco-Chacón, Iván RLWE/PLWE equivalence for totally real cyclotomic subextensions via quasi-Vandermonde matrices. (English) Zbl 1498.11084 J. Algebra Appl. 21, No. 11, Article ID 2250218, 18 p. (2022). MSC: 11C08 11H71 11Z05 15A12 PDFBibTeX XMLCite \textit{I. Blanco-Chacón}, J. Algebra Appl. 21, No. 11, Article ID 2250218, 18 p. (2022; Zbl 1498.11084) Full Text: DOI arXiv
Jha, Abhishek; Sanna, Carlo Greatest common divisors of shifted primes and Fibonacci numbers. (English) Zbl 1498.11195 Res. Number Theory 8, No. 4, Paper No. 65, 11 p. (2022). MSC: 11N32 11A41 11B39 PDFBibTeX XMLCite \textit{A. Jha} and \textit{C. Sanna}, Res. Number Theory 8, No. 4, Paper No. 65, 11 p. (2022; Zbl 1498.11195) Full Text: DOI arXiv
Chen, Hao; Jones, Nathan; Serban, Vlad The Lang-Trotter conjecture for products of non-CM elliptic curves. (English) Zbl 1517.11058 Ramanujan J. 59, No. 2, 379-436 (2022). MSC: 11G05 11F80 11G10 PDFBibTeX XMLCite \textit{H. Chen} et al., Ramanujan J. 59, No. 2, 379--436 (2022; Zbl 1517.11058) Full Text: DOI arXiv
Monsef-Shokri, Khosro On the Galois groups of some recursive polynomials. (English) Zbl 1507.11100 Bull. Iran. Math. Soc. 48, No. 4, 1919-1926 (2022). MSC: 11R32 12F12 11B37 PDFBibTeX XMLCite \textit{K. Monsef-Shokri}, Bull. Iran. Math. Soc. 48, No. 4, 1919--1926 (2022; Zbl 1507.11100) Full Text: DOI
Chan, Stephanie Integral points on the congruent number curve. (English) Zbl 1510.11091 Trans. Am. Math. Soc. 375, No. 9, 6675-6700 (2022). Reviewer: Michel Waldschmidt (Paris) MSC: 11D45 11G05 11D25 PDFBibTeX XMLCite \textit{S. Chan}, Trans. Am. Math. Soc. 375, No. 9, 6675--6700 (2022; Zbl 1510.11091) Full Text: DOI arXiv
Babinkostova, Liljana; Chin, Ariana; Kirtland, Aaron; Nazarchuk, Vladyslav; Plotnick, Esther The polynomial learning with errors problem and the smearing condition. (English) Zbl 07576531 J. Math. Cryptol. 16, 215-232 (2022). MSC: 06B05 11T71 81P94 11Y16 11Z05 62A01 PDFBibTeX XMLCite \textit{L. Babinkostova} et al., J. Math. Cryptol. 16, 215--232 (2022; Zbl 07576531) Full Text: DOI arXiv
Smith, Hanson Frobenius finds non-monogenic division fields of abelian varieties. (English) Zbl 1527.11048 Int. J. Number Theory 18, No. 10, 2299-2315 (2022). Reviewer: Sungkon Chang (Savannah) MSC: 11G10 11R04 PDFBibTeX XMLCite \textit{H. Smith}, Int. J. Number Theory 18, No. 10, 2299--2315 (2022; Zbl 1527.11048) Full Text: DOI arXiv
Bellah, Elisa Norm form equations and linear divisibility sequences. (English) Zbl 1497.11079 Int. J. Number Theory 18, No. 6, 1239-1259 (2022). Reviewer: Lajos Hajdu (Debrecen) MSC: 11D57 11D25 11B39 PDFBibTeX XMLCite \textit{E. Bellah}, Int. J. Number Theory 18, No. 6, 1239--1259 (2022; Zbl 1497.11079) Full Text: DOI arXiv
El Fadil, Lhoussain On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\). (English) Zbl 1494.11084 J. Number Theory 239, 489-500 (2022). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, J. Number Theory 239, 489--500 (2022; Zbl 1494.11084) Full Text: DOI
He, Weikun; De Saxcé, Nicolas Linear random walks on the torus. (English) Zbl 1518.37005 Duke Math. J. 171, No. 5, 1061-1133 (2022). Reviewer: Michael L. Blank (Moskva) MSC: 37A17 37A46 37A30 37B05 37H10 11B75 11L07 20G30 20P05 PDFBibTeX XMLCite \textit{W. He} and \textit{N. De Saxcé}, Duke Math. J. 171, No. 5, 1061--1133 (2022; Zbl 1518.37005) Full Text: DOI arXiv
Slob, Robert Primitive divisors of sequences associated to elliptic curves over function fields. (English) Zbl 1506.14071 New York J. Math. 28, 230-249 (2022). Reviewer: Bartosz Naskrecki (Poznań) MSC: 14H52 11G05 11B83 14J27 PDFBibTeX XMLCite \textit{R. Slob}, New York J. Math. 28, 230--249 (2022; Zbl 1506.14071) Full Text: arXiv Link
Ulmer, Douglas; Urzúa, Giancarlo Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces. (English) Zbl 1492.14067 Sel. Math., New Ser. 28, No. 2, Paper No. 25, 36 p. (2022). Reviewer: Carlos Rito (Vila Real) MSC: 14J27 11B39 14J29 PDFBibTeX XMLCite \textit{D. Ulmer} and \textit{G. Urzúa}, Sel. Math., New Ser. 28, No. 2, Paper No. 25, 36 p. (2022; Zbl 1492.14067) Full Text: DOI arXiv
Salehi Golsefidy, Alireza (ed.); Kontorovich, Alex (ed.); Oh, Hee (ed.) Working session: Thin groups and super-approximation. Abstracts from the working session held October 10–15, 2021 (hybrid meeting). (Arbeitsgemeinschaft: Thin groups and super-approximation.) (English) Zbl 1506.00092 Oberwolfach Rep. 18, No. 4, 2721-2790 (2021). MSC: 00B05 00B25 22-06 37-06 22E40 37F35 11N45 PDFBibTeX XMLCite \textit{A. Salehi Golsefidy} (ed.) et al., Oberwolfach Rep. 18, No. 4, 2721--2790 (2021; Zbl 1506.00092) Full Text: DOI
Voutier, Paul; Yabuta, Minoru The greatest common valuation of \(\phi_n\) and \(\psi_n^2\) at points on elliptic curves. (English) Zbl 1487.11058 J. Number Theory 229, 16-38 (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G07 14H52 14G20 PDFBibTeX XMLCite \textit{P. Voutier} and \textit{M. Yabuta}, J. Number Theory 229, 16--38 (2021; Zbl 1487.11058) Full Text: DOI arXiv
Sha, Min Zsigmondy’s theorem and primitive divisors of the Lucas and Lehmer sequences in polynomial rings. (English) Zbl 1481.11009 J. Algebra 586, 830-843 (2021). Reviewer: Thomas B. Ward (Newcastle) MSC: 11A41 11B39 11C08 PDFBibTeX XMLCite \textit{M. Sha}, J. Algebra 586, 830--843 (2021; Zbl 1481.11009) Full Text: DOI arXiv
Smith, Hanson Non-monogenic division fields of elliptic curves. (English) Zbl 1473.11124 J. Number Theory 228, 174-187 (2021). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11R04 PDFBibTeX XMLCite \textit{H. Smith}, J. Number Theory 228, 174--187 (2021; Zbl 1473.11124) Full Text: DOI arXiv
Stange, Katherine E. Algebraic aspects of solving ring-LWE, including ring-based improvements in the Blum-Kalai-Wasserman algorithm. (English) Zbl 1468.94418 SIAM J. Appl. Algebra Geom. 5, No. 2, 366-387 (2021). MSC: 94A60 11T71 11R18 PDFBibTeX XMLCite \textit{K. E. Stange}, SIAM J. Appl. Algebra Geom. 5, No. 2, 366--387 (2021; Zbl 1468.94418) Full Text: DOI arXiv
Gorodetsky, Ofir; Rodgers, Brad Traces of powers of matrices over finite fields. (English) Zbl 1472.60008 Trans. Am. Math. Soc. 374, No. 7, 4579-4638 (2021). Reviewer: Pavel Stoynov (Sofia) MSC: 60B20 60B15 20G40 11T55 15B52 PDFBibTeX XMLCite \textit{O. Gorodetsky} and \textit{B. Rodgers}, Trans. Am. Math. Soc. 374, No. 7, 4579--4638 (2021; Zbl 1472.60008) Full Text: DOI arXiv
Sheydvasser, Arseniy (Senia) The twisted Euclidean algorithm: applications to number theory and geometry. (English) Zbl 1467.11127 J. Algebra 569, 823-855 (2021). Reviewer: Alexander Hulpke (Fort Collins) MSC: 11Y40 11R52 20G30 51M10 PDFBibTeX XMLCite \textit{A. Sheydvasser}, J. Algebra 569, 823--855 (2021; Zbl 1467.11127) Full Text: DOI arXiv
Aygin, Zafer Selcuk; Nguyen, Khoa D. Monogenic pure cubics. (English) Zbl 1460.11126 J. Number Theory 219, 356-367 (2021); corrigendum ibid. 242, 244 (2023). MSC: 11R16 11R58 11D25 PDFBibTeX XMLCite \textit{Z. S. Aygin} and \textit{K. D. Nguyen}, J. Number Theory 219, 356--367 (2021; Zbl 1460.11126) Full Text: DOI arXiv
Bianchi, Francesca \(\mathbb{Q}(\sqrt{-3})\)-integral points on a Mordell curve. (English) Zbl 1503.11087 Bigatti, Anna Maria (ed.) et al., Mathematical software – ICMS 2020. 7th international conference, Braunschweig, Germany, July 13–16, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12097, 39-50 (2020). MSC: 11G05 11G50 PDFBibTeX XMLCite \textit{F. Bianchi}, Lect. Notes Comput. Sci. 12097, 39--50 (2020; Zbl 1503.11087) Full Text: DOI
Kim, Seoyoung; Walsh, Alexandra Elliptic Fermat numbers and elliptic divisibility sequences. (English) Zbl 1496.11082 Integers 20, Paper A29, 13 p. (2020). Reviewer: Matteo Verzobio (Pisa) MSC: 11G05 11A41 11B37 11B39 PDFBibTeX XMLCite \textit{S. Kim} and \textit{A. Walsh}, Integers 20, Paper A29, 13 p. (2020; Zbl 1496.11082) Full Text: arXiv Link
Gezer, Betül Sequences associated to elliptic curves with non-cyclic torsion subgroup. (English) Zbl 1488.14010 Hacet. J. Math. Stat. 49, No. 4, 1458-1470 (2020). MSC: 14H52 11B37 11G05 PDFBibTeX XMLCite \textit{B. Gezer}, Hacet. J. Math. Stat. 49, No. 4, 1458--1470 (2020; Zbl 1488.14010) Full Text: DOI
Cha, Byungchul; Kim, Dong Han Number theoretical properties of Romik’s dynamical system. (English) Zbl 1450.11068 Bull. Korean Math. Soc. 57, No. 1, 251-274 (2020). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11J70 11A55 PDFBibTeX XMLCite \textit{B. Cha} and \textit{D. H. Kim}, Bull. Korean Math. Soc. 57, No. 1, 251--274 (2020; Zbl 1450.11068) Full Text: DOI arXiv
Naskręcki, Bartosz; Streng, Marco Primitive divisors of elliptic divisibility sequences over function fields with constant \(j\)-invariant. (English) Zbl 1462.11052 J. Number Theory 213, 152-186 (2020). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11B39 14H52 11G07 11B83 PDFBibTeX XMLCite \textit{B. Naskręcki} and \textit{M. Streng}, J. Number Theory 213, 152--186 (2020; Zbl 1462.11052) Full Text: DOI arXiv
Gassert, T. Alden; Urbanski, Michael T. Index divisibility in the orbit of \(0\) for integral polynomials. (English) Zbl 1475.11026 Integers 20, Paper A16, 15 p. (2020). MSC: 11B37 11C08 37P99 PDFBibTeX XMLCite \textit{T. A. Gassert} and \textit{M. T. Urbanski}, Integers 20, Paper A16, 15 p. (2020; Zbl 1475.11026) Full Text: arXiv Link
Kim, Seoyoung The density of the terms in an elliptic divisibility sequence having a fixed G.C.D. with their indices. (English) Zbl 1431.11075 J. Number Theory 207, 22-41 (2020). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11B37 11B39 11B05 PDFBibTeX XMLCite \textit{S. Kim}, J. Number Theory 207, 22--41 (2020; Zbl 1431.11075) Full Text: DOI arXiv
Sutherland, Andrew V. Sato-Tate distributions. (English) Zbl 1440.11176 Bucur, Alina (ed.) et al., Analytic methods in arithmetic geometry. Arizona winter school 2016, the University of Arizona, Tucson, AZ, USA, March 12–16, 2016. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM). Contemp. Math. 740, 197-248 (2019). MSC: 11M50 11G10 11G20 14G10 14K15 PDFBibTeX XMLCite \textit{A. V. Sutherland}, Contemp. Math. 740, 197--248 (2019; Zbl 1440.11176) Full Text: DOI arXiv
Barańczuk, Stefan On second-order linear recurrence sequences in Mordell-Weil groups. (English) Zbl 1471.11184 New York J. Math. 25, 642-650 (2019). MSC: 11G05 11B50 PDFBibTeX XMLCite \textit{S. Barańczuk}, New York J. Math. 25, 642--650 (2019; Zbl 1471.11184) Full Text: Link
Akbary, Amir; Parks, James On the Lang-Trotter conjecture for two elliptic curves. (English) Zbl 1437.11082 Ramanujan J. 49, No. 3, 585-623 (2019). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G05 11M41 PDFBibTeX XMLCite \textit{A. Akbary} and \textit{J. Parks}, Ramanujan J. 49, No. 3, 585--623 (2019; Zbl 1437.11082) Full Text: DOI arXiv
Chaubey, Sneha; Fuchs, Elena; Hines, Robert; Stange, Katherine E. The dynamics of super-Apollonian continued fractions. (English) Zbl 1436.11011 Trans. Am. Math. Soc. 372, No. 4, 2287-2334 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 11A55 11J70 11E20 37A44 37F31 52C26 PDFBibTeX XMLCite \textit{S. Chaubey} et al., Trans. Am. Math. Soc. 372, No. 4, 2287--2334 (2019; Zbl 1436.11011) Full Text: DOI arXiv
Sheydvasser, Arseniy Quaternion orders and sphere packings. (English) Zbl 1454.11206 J. Number Theory 204, 41-98 (2019). MSC: 11R52 11F06 11H31 52C17 PDFBibTeX XMLCite \textit{A. Sheydvasser}, J. Number Theory 204, 41--98 (2019; Zbl 1454.11206) Full Text: DOI arXiv
Fuchs, Elena; Stange, Katherine E.; Zhang, Xin Local-global principles in circle packings. (English) Zbl 1418.52008 Compos. Math. 155, No. 6, 1118-1170 (2019). Reviewer: Vladimir Mityushev (Kraków) MSC: 52C26 30F40 11D85 20H10 22E40 PDFBibTeX XMLCite \textit{E. Fuchs} et al., Compos. Math. 155, No. 6, 1118--1170 (2019; Zbl 1418.52008) Full Text: DOI arXiv
Chiesa, Alessandro; Chua, Lynn; Weidner, Matthew On cycles of pairing-friendly elliptic curves. (English) Zbl 1411.14035 SIAM J. Appl. Algebra Geom. 3, No. 2, 175-192 (2019). Reviewer: Nathan Kaplan (Irvine) MSC: 14H52 14G50 11T71 PDFBibTeX XMLCite \textit{A. Chiesa} et al., SIAM J. Appl. Algebra Geom. 3, No. 2, 175--192 (2019; Zbl 1411.14035) Full Text: DOI arXiv
Parks, James An asymptotic for the average number of amicable pairs for elliptic curves. (English) Zbl 1456.11104 Math. Proc. Camb. Philos. Soc. 166, No. 1, 33-59 (2019). MSC: 11G05 PDFBibTeX XMLCite \textit{J. Parks}, Math. Proc. Camb. Philos. Soc. 166, No. 1, 33--59 (2019; Zbl 1456.11104) Full Text: DOI arXiv
Gassert, T. Alden; Smith, Hanson; Stange, Katherine E. A family of monogenic \(S_4\) quartic fields arising from elliptic curves. (English) Zbl 1410.11050 J. Number Theory 197, 361-382 (2019). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11R04 11R16 PDFBibTeX XMLCite \textit{T. A. Gassert} et al., J. Number Theory 197, 361--382 (2019; Zbl 1410.11050) Full Text: DOI arXiv
Sanna, Carlo The moments of the logarithm of a G.C.D. related to Lucas sequences. (English) Zbl 1444.11028 J. Number Theory 191, 305-315 (2018). MSC: 11B37 11B39 PDFBibTeX XMLCite \textit{C. Sanna}, J. Number Theory 191, 305--315 (2018; Zbl 1444.11028) Full Text: DOI Link
Stange, Katherine E. The Apollonian structure of Bianchi groups. (English) Zbl 1393.52013 Trans. Am. Math. Soc. 370, No. 9, 6169-6219 (2018). MSC: 52C26 20G30 11F06 11R11 11E57 20E08 20F65 51F25 PDFBibTeX XMLCite \textit{K. E. Stange}, Trans. Am. Math. Soc. 370, No. 9, 6169--6219 (2018; Zbl 1393.52013) Full Text: DOI arXiv
Sanna, Carlo Central binomial coefficients divisible by or coprime to their indices. (English) Zbl 1403.11011 Int. J. Number Theory 14, No. 4, 1135-1141 (2018). Reviewer: Uğur Duran (Hatay) MSC: 11B65 13A05 11N25 11A07 PDFBibTeX XMLCite \textit{C. Sanna}, Int. J. Number Theory 14, No. 4, 1135--1141 (2018; Zbl 1403.11011) Full Text: DOI
Cha, Byungchul; Nguyen, Emily; Tauber, Brandon Quadratic forms and their Berggren trees. (English) Zbl 1390.11062 J. Number Theory 185, 218-256 (2018). MSC: 11D09 11E12 11A55 05C05 PDFBibTeX XMLCite \textit{B. Cha} et al., J. Number Theory 185, 218--256 (2018; Zbl 1390.11062) Full Text: DOI
Ben-Sasson, Eli; Chiesa, Alessandro; Tromer, Eran; Virza, Madars Scalable zero knowledge via cycles of elliptic curves. (English) Zbl 1383.68035 Algorithmica 79, No. 4, 1102-1160 (2017). MSC: 68Q15 11T71 94A60 PDFBibTeX XMLCite \textit{E. Ben-Sasson} et al., Algorithmica 79, No. 4, 1102--1160 (2017; Zbl 1383.68035) Full Text: DOI Link
David, Chantal; Koukoulopoulos, Dimitris; Smith, Ethan Sums of Euler products and statistics of elliptic curves. (English) Zbl 1448.11116 Math. Ann. 368, No. 1-2, 685-752 (2017). Reviewer: Mariana Coutinho (São Carlos) MSC: 11G20 11N45 PDFBibTeX XMLCite \textit{C. David} et al., Math. Ann. 368, No. 1--2, 685--752 (2017; Zbl 1448.11116) Full Text: DOI arXiv
Silverman, Joseph H. Divisor divisibility sequences on tori. (English) Zbl 1428.11033 Acta Arith. 177, No. 4, 315-345 (2017). MSC: 11B39 14G25 14L99 PDFBibTeX XMLCite \textit{J. H. Silverman}, Acta Arith. 177, No. 4, 315--345 (2017; Zbl 1428.11033) Full Text: DOI arXiv Backlinks: MO MO MO
Balakrishnan, Jennifer S.; Besser, Amnon; Müller, J. Steffen Computing integral points on hyperelliptic curves using quadratic Chabauty. (English) Zbl 1376.11053 Math. Comput. 86, No. 305, 1403-1434 (2017). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 11S80 11Y50 14G40 PDFBibTeX XMLCite \textit{J. S. Balakrishnan} et al., Math. Comput. 86, No. 305, 1403--1434 (2017; Zbl 1376.11053) Full Text: DOI arXiv
Novoselov, S. A. On bounds for balanced embedding degree. (Russian. English summary) Zbl 1490.14045 Prikl. Diskretn. Mat. 2016, No. 2(32), 63-86 (2016). MSC: 14G50 11T71 11G20 PDFBibTeX XMLCite \textit{S. A. Novoselov}, Prikl. Diskretn. Mat. 2016, No. 2(32), 63--86 (2016; Zbl 1490.14045) Full Text: DOI MNR
Onuki, Hiroshi; Teruya, Tadanori; Kanayama, Naoki; Uchiyama, Shigenori The optimal ate pairing over the Barreto-Naehrig curve via parallelizing elliptic nets. (English) Zbl 1411.11060 JSIAM Lett. 8, 9-12 (2016). MSC: 11G20 11T71 PDFBibTeX XMLCite \textit{H. Onuki} et al., JSIAM Lett. 8, 9--12 (2016; Zbl 1411.11060) Full Text: DOI
Hajdu, Lajos; Laishram, Shanta; Szikszai, Márton Perfect powers in products of terms of elliptic divisibility sequences. (English) Zbl 1419.11061 Bull. Aust. Math. Soc. 94, No. 3, 395-404 (2016). MSC: 11D61 11B37 PDFBibTeX XMLCite \textit{L. Hajdu} et al., Bull. Aust. Math. Soc. 94, No. 3, 395--404 (2016; Zbl 1419.11061) Full Text: DOI arXiv
Brown, Jim; Heras, David; James, Kevin; Keaton, Rodney; Qian, Andrew Amicable pairs and aliquot cycles for elliptic curves over number fields. (English) Zbl 1410.11046 Rocky Mt. J. Math. 46, No. 6, 1853-1866 (2016). MSC: 11G05 PDFBibTeX XMLCite \textit{J. Brown} et al., Rocky Mt. J. Math. 46, No. 6, 1853--1866 (2016; Zbl 1410.11046) Full Text: DOI Euclid
Stange, Katherine E. The sensual Apollonian circle packing. (English) Zbl 1354.52025 Expo. Math. 34, No. 4, 364-395 (2016). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52C26 11E39 11E12 11E16 PDFBibTeX XMLCite \textit{K. E. Stange}, Expo. Math. 34, No. 4, 364--395 (2016; Zbl 1354.52025) Full Text: DOI arXiv
Akbary, Amir; Bleaney, Jeff; Yazdani, Soroosh On symmetries of elliptic nets and valuations of net polynomials. (English) Zbl 1400.11109 J. Number Theory 158, 185-216 (2016). MSC: 11G05 11G07 11B37 PDFBibTeX XMLCite \textit{A. Akbary} et al., J. Number Theory 158, 185--216 (2016; Zbl 1400.11109) Full Text: DOI arXiv
Allouche, Jean-Paul Thue, combinatorics on words, and conjectures inspired by the Thue-Morse sequence. (English. French summary) Zbl 1395.11039 J. Théor. Nombres Bordx. 27, No. 2, 375-388 (2015). MSC: 11B83 11B85 05A05 PDFBibTeX XMLCite \textit{J.-P. Allouche}, J. Théor. Nombres Bordx. 27, No. 2, 375--388 (2015; Zbl 1395.11039) Full Text: DOI arXiv
Parks, James Amicable pairs and aliquot cycles on average. (English) Zbl 1326.11028 Int. J. Number Theory 11, No. 6, 1751-1790 (2015). Reviewer: Michael Th. Rassias (Princeton) MSC: 11G05 11N13 PDFBibTeX XMLCite \textit{J. Parks}, Int. J. Number Theory 11, No. 6, 1751--1790 (2015; Zbl 1326.11028) Full Text: DOI arXiv
Kühn, Ulf; Müller, Jan Steffen A height inequality for rational points on elliptic curves implied by the abc-conjecture. (English) Zbl 1395.11090 Funct. Approximatio, Comment. Math. 52, No. 1, 127-132 (2015). MSC: 11G05 11G50 PDFBibTeX XMLCite \textit{U. Kühn} and \textit{J. S. Müller}, Funct. Approximatio, Comment. Math. 52, No. 1, 127--132 (2015; Zbl 1395.11090) Full Text: DOI arXiv Euclid
Liu, Yang; Kanayama, Naoki; Saito, Kazutaka; Teruya, Tadanori; Uchiyama, Shigenori; Okamoto, Eiji Computing fixed argument pairings with the elliptic net algorithm. (English) Zbl 1408.94946 JSIAM Lett. 6, 69-72 (2014). MSC: 94A60 11T71 PDFBibTeX XMLCite \textit{Y. Liu} et al., JSIAM Lett. 6, 69--72 (2014; Zbl 1408.94946) Full Text: DOI
Yarimizu, Junichi; Uchida, Yukihiro; Uchiyama, Shigenori The elliptic curve Diffie-Hellman problem and an equivalent hard problem for elliptic divisibility sequences. (English) Zbl 1408.11057 JSIAM Lett. 6, 5-7 (2014). MSC: 11G05 11B37 PDFBibTeX XMLCite \textit{J. Yarimizu} et al., JSIAM Lett. 6, 5--7 (2014; Zbl 1408.11057) Full Text: DOI
Mahé, Valéry Prime power terms in elliptic divisibility sequences. (English) Zbl 1295.11063 Math. Comput. 83, No. 288, 1951-1991 (2014). Reviewer: Michael Th. Rassias (Princeton) MSC: 11G05 11A41 PDFBibTeX XMLCite \textit{V. Mahé}, Math. Comput. 83, No. 288, 1951--1991 (2014; Zbl 1295.11063) Full Text: DOI arXiv
Akiyama, Shigeki Mean divisibility of multinomial coefficients. (English) Zbl 1360.11035 J. Number Theory 136, 438-459 (2014). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 11B65 11B83 11A51 11N37 PDFBibTeX XMLCite \textit{S. Akiyama}, J. Number Theory 136, 438--459 (2014; Zbl 1360.11035) Full Text: DOI arXiv
Lauter, Kristin; Shang, Ning Generating pairing-friendly parameters for the CM construction of genus 2 curves over prime fields. (English) Zbl 1277.11069 Des. Codes Cryptography 67, No. 3, 341-355 (2013). MSC: 11G20 14G50 94A60 PDFBibTeX XMLCite \textit{K. Lauter} and \textit{N. Shang}, Des. Codes Cryptography 67, No. 3, 341--355 (2013; Zbl 1277.11069) Full Text: DOI
Ingram, Patrick; Mahé, Valéry; Silverman, Joseph H.; Stange, Katherine E.; Streng, Marco Algebraic divisibility sequences over function fields. (English) Zbl 1251.11008 J. Aust. Math. Soc. 92, No. 1, 99-126 (2012). Reviewer: Alain Kraus (Paris) MSC: 11B39 11G05 PDFBibTeX XMLCite \textit{P. Ingram} et al., J. Aust. Math. Soc. 92, No. 1, 99--126 (2012; Zbl 1251.11008) Full Text: DOI arXiv
Reynolds, Jonathan Perfect powers generated by the twisted Fermat cubic. (English) Zbl 1286.11092 Funct. Approximatio, Comment. Math. 46, No. 1, 133-145 (2012). MSC: 11G05 11D41 PDFBibTeX XMLCite \textit{J. Reynolds}, Funct. Approximatio, Comment. Math. 46, No. 1, 133--145 (2012; Zbl 1286.11092) Full Text: DOI arXiv Euclid
Silverman, Joseph H.; Stange, Katherine E. Amicable pairs and aliquot cycles for elliptic curves. (English) Zbl 1269.11056 Exp. Math. 20, No. 3, 329-357 (2011). MSC: 11G05 11B83 11G20 PDFBibTeX XMLCite \textit{J. H. Silverman} and \textit{K. E. Stange}, Exp. Math. 20, No. 3, 329--357 (2011; Zbl 1269.11056) Full Text: DOI arXiv Euclid
Stange, Katherine E. Elliptic nets and elliptic curves. (English) Zbl 1277.11063 Algebra Number Theory 5, No. 2, 197-229 (2011). MSC: 11G05 11G07 11B37 11B39 14H52 PDFBibTeX XMLCite \textit{K. E. Stange}, Algebra Number Theory 5, No. 2, 197--229 (2011; Zbl 1277.11063) Full Text: DOI arXiv Link
Lauter, Kristin E.; Stange, Katherine E. The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences. (English) Zbl 1256.94055 Avanzi, Roberto Maria (ed.) et al., Selected areas in cryptography. 15th international workshop, SAC 2008, Sackville, New Brunswick, Canada, August 14–15. Revised selected papers. Berlin: Springer (ISBN 978-3-642-04158-7/pbk). Lecture Notes in Computer Science 5381, 309-327 (2009). MSC: 94A60 11G20 11Y16 68Q17 PDFBibTeX XMLCite \textit{K. E. Lauter} and \textit{K. E. Stange}, Lect. Notes Comput. Sci. 5381, 309--327 (2009; Zbl 1256.94055) Full Text: DOI arXiv
Galbraith, Steven D.; Lin, Xibin Computing pairings using \(x\)-coordinates only. (English) Zbl 1222.14051 Des. Codes Cryptography 50, No. 3, 305-324 (2009). MSC: 14G50 11T71 94A60 PDFBibTeX XMLCite \textit{S. D. Galbraith} and \textit{X. Lin}, Des. Codes Cryptography 50, No. 3, 305--324 (2009; Zbl 1222.14051) Full Text: DOI