Česnavičius, Kęstutis; Neururer, Michael; Saha, Abhishek The Manin constant and the modular degree. (English) Zbl 07815222 J. Eur. Math. Soc. (JEMS) 26, No. 2, 573-637 (2024). MSC: 11G05 11F11 11F30 11F70 11F85 11G18 11L05 PDFBibTeX XMLCite \textit{K. Česnavičius} et al., J. Eur. Math. Soc. (JEMS) 26, No. 2, 573--637 (2024; Zbl 07815222) Full Text: DOI arXiv
Melistas, Mentzelos Torsion and twists of abelian varieties. (English) Zbl 07813477 Bull. Lond. Math. Soc. 56, No. 2, 589-601 (2024). MSC: 11G05 11G07 11G10 14H52 14K15 PDFBibTeX XMLCite \textit{M. Melistas}, Bull. Lond. Math. Soc. 56, No. 2, 589--601 (2024; Zbl 07813477) Full Text: DOI arXiv OA License
Adžaga, Nikola; Keller, Timo; Michaud-Jacobs, Philippe; Najman, Filip; Ozman, Ekin; Vukorepa, Borna Computing quadratic points on modular curves \(X_0(N)\). (English) Zbl 07810337 Math. Comput. 93, No. 347, 1371-1397 (2024). MSC: 11G05 14G05 11G18 PDFBibTeX XMLCite \textit{N. Adžaga} et al., Math. Comput. 93, No. 347, 1371--1397 (2024; Zbl 07810337) Full Text: DOI arXiv
Ophir, Amit; Weiss, Ariel On Ribet’s lemma for \(\mathrm{GL}_2\) modulo prime powers. (English) Zbl 07809833 Res. Math. Sci. 11, No. 1, Paper No. 9, 21 p. (2024). MSC: 20G25 20E08 20C11 11G05 11S23 PDFBibTeX XMLCite \textit{A. Ophir} and \textit{A. Weiss}, Res. Math. Sci. 11, No. 1, Paper No. 9, 21 p. (2024; Zbl 07809833) Full Text: DOI arXiv OA License
Chan, Stephanie Integral points on cubic twists of Mordell curves. (English) Zbl 07808057 Math. Ann. 388, No. 3, 2275-2288 (2024). MSC: 11D45 11G05 11D25 PDFBibTeX XMLCite \textit{S. Chan}, Math. Ann. 388, No. 3, 2275--2288 (2024; Zbl 07808057) Full Text: DOI arXiv
Lemke Oliver, Robert J.; Thorner, Jesse; Zaman, Asif An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin \(L\)-functions. (English) Zbl 07807378 Invent. Math. 235, No. 3, 893-971 (2024). MSC: 11R42 11R29 11R45 11F66 11G05 11M41 PDFBibTeX XMLCite \textit{R. J. Lemke Oliver} et al., Invent. Math. 235, No. 3, 893--971 (2024; Zbl 07807378) Full Text: DOI arXiv
Burungale, Ashay; Büyükboduk, Kâzım; Lei, Antonio Anticyclotomic Iwasawa theory of abelian varieties of \(\operatorname{GL}_2\)-type at non-ordinary primes. (English) Zbl 07807330 Adv. Math. 439, Article ID 109465, 63 p. (2024). MSC: 11R23 11G05 11R20 PDFBibTeX XMLCite \textit{A. Burungale} et al., Adv. Math. 439, Article ID 109465, 63 p. (2024; Zbl 07807330) Full Text: DOI arXiv
Lim, Meng Fai Structure of fine Selmer groups over \(\mathbb{Z}_p\)-extensions. (English) Zbl 07806814 Math. Proc. Camb. Philos. Soc. 176, No. 2, 287-308 (2024). MSC: 11R23 11G05 11S25 PDFBibTeX XMLCite \textit{M. F. Lim}, Math. Proc. Camb. Philos. Soc. 176, No. 2, 287--308 (2024; Zbl 07806814) Full Text: DOI arXiv
Michaud-Jacobs, Philippe Computing points on bielliptic modular curves over fixed quadratic fields. (English) Zbl 07802955 Bull. Aust. Math. Soc. 109, No. 1, 6-13 (2024). MSC: 11G18 11G05 14G05 PDFBibTeX XMLCite \textit{P. Michaud-Jacobs}, Bull. Aust. Math. Soc. 109, No. 1, 6--13 (2024; Zbl 07802955) Full Text: DOI arXiv OA License
Uttenthal, Peter Vang Density of Selmer ranks in families of even Galois representations, Wiles’ formula, and global reciprocity. (English) Zbl 07802061 J. Number Theory 258, 212-268 (2024). MSC: 11F80 11R32 11G05 11N05 PDFBibTeX XMLCite \textit{P. V. Uttenthal}, J. Number Theory 258, 212--268 (2024; Zbl 07802061) Full Text: DOI arXiv
Im, Bo-Hae; Kim, Hansol Growth of torsion groups of elliptic curves over number fields without rationally defined CM. (English) Zbl 07802052 J. Number Theory 258, 1-21 (2024). MSC: 11G05 14H52 14K02 PDFBibTeX XMLCite \textit{B.-H. Im} and \textit{H. Kim}, J. Number Theory 258, 1--21 (2024; Zbl 07802052) Full Text: DOI arXiv
Wu, Han There are genus one curves violating Hasse principle over every number field. (English) Zbl 07799749 J. Algebra 643, 76-85 (2024). MSC: 14H45 11G05 11D09 14G05 PDFBibTeX XMLCite \textit{H. Wu}, J. Algebra 643, 76--85 (2024; Zbl 07799749) Full Text: DOI
Genao, Tyler Growth of torsion groups of elliptic curves upon base change from number fields. (English) Zbl 07796582 Ramanujan J. 63, No. 2, 409-429 (2024). MSC: 11G05 11G15 PDFBibTeX XMLCite \textit{T. Genao}, Ramanujan J. 63, No. 2, 409--429 (2024; Zbl 07796582) Full Text: DOI arXiv
Stokes, Matt On CM elliptic curves and the cyclotomic \(\lambda \)-invariants of imaginary quadratic fields. (English) Zbl 07794609 J. Number Theory 256, 160-169 (2024). MSC: 11R23 11G05 PDFBibTeX XMLCite \textit{M. Stokes}, J. Number Theory 256, 160--169 (2024; Zbl 07794609) Full Text: DOI arXiv
Beneish, Lea; Kundu, Debanjana; Ray, Anwesh Rank jumps and growth of Shafarevich-Tate groups for elliptic curves in \(\mathbb{Z}/p \mathbb{Z}\)-extensions. (English) Zbl 07793893 J. Aust. Math. Soc. 116, No. 1, 1-38 (2024). Reviewer: Masanari Kida (Tōkyō) MSC: 11R23 11G05 11R34 PDFBibTeX XMLCite \textit{L. Beneish} et al., J. Aust. Math. Soc. 116, No. 1, 1--38 (2024; Zbl 07793893) Full Text: DOI arXiv OA License
Walsh, P. G. Squares in recurrences using elliptic curves. (English) Zbl 07785377 Int. J. Number Theory 20, No. 1, 221-228 (2024). MSC: 11G05 11D09 PDFBibTeX XMLCite \textit{P. G. Walsh}, Int. J. Number Theory 20, No. 1, 221--228 (2024; Zbl 07785377) Full Text: DOI
Bajpai, Prajeet; Bennett, Michael A.; Chan, Tsz Ho Arithmetic progressions in squarefull numbers. (English) Zbl 07785369 Int. J. Number Theory 20, No. 1, 19-45 (2024). MSC: 11D25 11G05 11J70 PDFBibTeX XMLCite \textit{P. Bajpai} et al., Int. J. Number Theory 20, No. 1, 19--45 (2024; Zbl 07785369) Full Text: DOI arXiv
Bourdon, Abbey; Gill, David R.; Rouse, Jeremy; Watson, Lori D. Odd degree isolated points on \(X_1(N)\) with rational \(j\)-invariant. (English) Zbl 07783310 Res. Number Theory 10, No. 1, Paper No. 5, 32 p. (2024). MSC: 11G05 14H52 11G18 14G05 PDFBibTeX XMLCite \textit{A. Bourdon} et al., Res. Number Theory 10, No. 1, Paper No. 5, 32 p. (2024; Zbl 07783310) Full Text: DOI arXiv
Kundu, Debanjana; Sprung, Florian Cotorsion of anti-cyclotomic Selmer groups on average. (English) Zbl 07783126 Proc. Am. Math. Soc. 152, No. 2, 521-535 (2024). Reviewer: Caleb Ji (New York) MSC: 11G05 11R23 11R45 PDFBibTeX XMLCite \textit{D. Kundu} and \textit{F. Sprung}, Proc. Am. Math. Soc. 152, No. 2, 521--535 (2024; Zbl 07783126) Full Text: DOI arXiv
Banwait, Barinder S.; Najman, Filip; Padurariu, Oana Cyclic isogenies of elliptic curves over fixed quadratic fields. (English) Zbl 07782521 Math. Comput. 93, No. 346, 841-862 (2024). MSC: 11G05 11Y60 11G15 PDFBibTeX XMLCite \textit{B. S. Banwait} et al., Math. Comput. 93, No. 346, 841--862 (2024; Zbl 07782521) Full Text: DOI arXiv
Walsh, P. G. Specializations of a generic rank-2 curve of Shioda. (English) Zbl 07765125 J. Number Theory 255, 1-7 (2024). Reviewer: Mentzelos Melistas (Enschede) MSC: 11G05 11D09 PDFBibTeX XMLCite \textit{P. G. Walsh}, J. Number Theory 255, 1--7 (2024; Zbl 07765125) Full Text: DOI
Pasten, Hector Shimura curves and the abc conjecture. (English) Zbl 07748223 J. Number Theory 254, 214-335 (2024). MSC: 11G18 11G05 14G40 PDFBibTeX XMLCite \textit{H. Pasten}, J. Number Theory 254, 214--335 (2024; Zbl 07748223) Full Text: DOI arXiv
Mazur, Barry; Rubin, Karl; Shlapentokh, Alexandra Existential definability and diophantine stability. (English) Zbl 07748216 J. Number Theory 254, 1-64 (2024). MSC: 11U05 11G05 03B25 PDFBibTeX XMLCite \textit{B. Mazur} et al., J. Number Theory 254, 1--64 (2024; Zbl 07748216) Full Text: DOI arXiv
Dall’Ava, Luca; Horawa, Aleksander Balanced triple product \(p\)-adic \(L\)-functions and Stark points. arXiv:2403.05183 Preprint, arXiv:2403.05183 [math.NT] (2024). MSC: 11G05 11G40 11F11 11F12 11R23 BibTeX Cite \textit{L. Dall'Ava} and \textit{A. Horawa}, ``Balanced triple product $p$-adic $L$-functions and Stark points'', Preprint, arXiv:2403.05183 [math.NT] (2024) Full Text: arXiv OA License
Day, Tori; Gajek-Leonard, Rylan Entanglement of elliptic curves upon base extension. arXiv:2403.03073 Preprint, arXiv:2403.03073 [math.NT] (2024). MSC: 11G05 11F80 BibTeX Cite \textit{T. Day} and \textit{R. Gajek-Leonard}, ``Entanglement of elliptic curves upon base extension'', Preprint, arXiv:2403.03073 [math.NT] (2024) Full Text: arXiv OA License
Deines, Alyson; Hamakiotes, Asimina S.; Iorga, Andreea; Namoijam, Changningphaabi; Roy, Manami; Watson, Lori D. Towards a classification of \(p^2\)-discriminant ideal twins over number fields. arXiv:2403.01287 Preprint, arXiv:2403.01287 [math.NT] (2024). MSC: 11G05 14K02 14H10 14H52 BibTeX Cite \textit{A. Deines} et al., ``Towards a classification of $p^2$-discriminant ideal twins over number fields'', Preprint, arXiv:2403.01287 [math.NT] (2024) Full Text: arXiv OA License
Ghosh, Arkabrata On the family of elliptic curves \(y^2=x^3-m^2x + (pqr)^2\). arXiv:2403.01213 Preprint, arXiv:2403.01213 [math.NT] (2024). MSC: 11G05 14G05 BibTeX Cite \textit{A. Ghosh}, ``On the family of elliptic curves $y^2=x^3-m^2x + (pqr)^2$'', Preprint, arXiv:2403.01213 [math.NT] (2024) Full Text: arXiv OA License
Browning, Tim; Verzobio, Matteo Strong divisibility sequences and sieve methods. arXiv:2402.19301 Preprint, arXiv:2402.19301 [math.NT] (2024). MSC: 11N36 11A41 11A51 11B39 11B83 11G05 BibTeX Cite \textit{T. Browning} and \textit{M. Verzobio}, ``Strong divisibility sequences and sieve methods'', Preprint, arXiv:2402.19301 [math.NT] (2024) Full Text: arXiv OA License
Barrios, Alexander J.; Brucal-Hallare, Maila; Deines, Alyson; Harris, Piper; Roy, Manami Prime isogenous discriminant ideal twins. arXiv:2402.19183 Preprint, arXiv:2402.19183 [math.NT] (2024). MSC: 11G05 11G07 14K02 14H10 14H52 BibTeX Cite \textit{A. J. Barrios} et al., ``Prime isogenous discriminant ideal twins'', Preprint, arXiv:2402.19183 [math.NT] (2024) Full Text: arXiv OA License
Silverman, Joseph H. A Lehmer-Type Lower Bound for the Canonical Height on Elliptic Curves Over Function Fields. arXiv:2402.14771 Preprint, arXiv:2402.14771 [math.NT] (2024). MSC: 11G05 11R58 14G40 BibTeX Cite \textit{J. H. Silverman}, ``A Lehmer-Type Lower Bound for the Canonical Height on Elliptic Curves Over Function Fields'', Preprint, arXiv:2402.14771 [math.NT] (2024) Full Text: arXiv OA License
Keller, Timo; Yin, Mulun On the anticyclotomic Iwasawa theory of newforms at Eisenstein primes of semistable reduction. arXiv:2402.12781 Preprint, arXiv:2402.12781 [math.NT] (2024). MSC: 11G40 11G05 11G10 14G10 BibTeX Cite \textit{T. Keller} and \textit{M. Yin}, ``On the anticyclotomic Iwasawa theory of newforms at Eisenstein primes of semistable reduction'', Preprint, arXiv:2402.12781 [math.NT] (2024) Full Text: arXiv OA License
Daniels, Harris; Rouse, Jeremy Minimal Subgroups of \({\rm GL}_2(\mathbb{Z}_{S})\). arXiv:2402.11049 Preprint, arXiv:2402.11049 [math.NT] (2024). MSC: 11G05 11F80 14H52 22E50 BibTeX Cite \textit{H. Daniels} and \textit{J. Rouse}, ``Minimal Subgroups of ${\rm GL}_2(\mathbb{Z}_{S})$'', Preprint, arXiv:2402.11049 [math.NT] (2024) Full Text: arXiv OA License
Ray, Anwesh; Shingavekar, Pratiksha An analogue of Kida’s formula for elliptic curves with additive reduction. arXiv:2402.02024 Preprint, arXiv:2402.02024 [math.NT] (2024). MSC: 11R23 11G05 BibTeX Cite \textit{A. Ray} and \textit{P. Shingavekar}, ``An analogue of Kida's formula for elliptic curves with additive reduction'', Preprint, arXiv:2402.02024 [math.NT] (2024) Full Text: arXiv OA License
Banwait, Barinder S.; Derickx, Maarten Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville. arXiv:2401.14514 Preprint, arXiv:2401.14514 [math.NT] (2024). MSC: 11G05 11Y60 11G15 BibTeX Cite \textit{B. S. Banwait} and \textit{M. Derickx}, ``Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville'', Preprint, arXiv:2401.14514 [math.NT] (2024) Full Text: arXiv OA License
Pathak, Siddhi; Ray, Anwesh Rank stability of elliptic curves in certain metabelian extensions. arXiv:2401.13582 Preprint, arXiv:2401.13582 [math.NT] (2024). MSC: 11R45 11G05 BibTeX Cite \textit{S. Pathak} and \textit{A. Ray}, ``Rank stability of elliptic curves in certain metabelian extensions'', Preprint, arXiv:2401.13582 [math.NT] (2024) Full Text: arXiv OA License
Angdinata, David Kurniadi L-values of elliptic curves twisted by cubic characters. arXiv:2401.09927 Preprint, arXiv:2401.09927 [math.NT] (2024). MSC: 11G05 11G40 BibTeX Cite \textit{D. K. Angdinata}, ``L-values of elliptic curves twisted by cubic characters'', Preprint, arXiv:2401.09927 [math.NT] (2024) Full Text: arXiv OA License
Paterson, Ross Quadratic Twists as Random Variables. arXiv:2401.08836 Preprint, arXiv:2401.08836 [math.NT] (2024). MSC: 11G05 11G07 11R45 BibTeX Cite \textit{R. Paterson}, ``Quadratic Twists as Random Variables'', Preprint, arXiv:2401.08836 [math.NT] (2024) Full Text: arXiv OA License
Paterson, Ross 2-Selmer Groups over Multiquadratic Extensions. arXiv:2401.08828 Preprint, arXiv:2401.08828 [math.NT] (2024). MSC: 11G05 11G07 11N36 11N45 11R45 BibTeX Cite \textit{R. Paterson}, ``2-Selmer Groups over Multiquadratic Extensions'', Preprint, arXiv:2401.08828 [math.NT] (2024) Full Text: arXiv OA License
Molnar, Grant Counting elliptic curves with a cyclic \(m\)-isogeny over \(\mathbb{Q}\). arXiv:2401.06815 Preprint, arXiv:2401.06815 [math.NT] (2024). MSC: 11N45 11G05 11Y40 BibTeX Cite \textit{G. Molnar}, ``Counting elliptic curves with a cyclic $m$-isogeny over $\mathbb{Q}$'', Preprint, arXiv:2401.06815 [math.NT] (2024) Full Text: arXiv OA License
Glas, Jakob; Hochfilzer, Leonhard Rational points on del Pezzo surfaces of low degree. arXiv:2401.04759 Preprint, arXiv:2401.04759 [math.NT] (2024). MSC: 11D45 11G05 11G35 14G05 11H06 BibTeX Cite \textit{J. Glas} and \textit{L. Hochfilzer}, ``Rational points on del Pezzo surfaces of low degree'', Preprint, arXiv:2401.04759 [math.NT] (2024) Full Text: arXiv OA License
Browning, Tim; Chan, Stephanie Almost all quadratic twists of an elliptic curve have no integral points. arXiv:2401.04375 Preprint, arXiv:2401.04375 [math.NT] (2024). MSC: 11D45 11D25 11G05 BibTeX Cite \textit{T. Browning} and \textit{S. Chan}, ``Almost all quadratic twists of an elliptic curve have no integral points'', Preprint, arXiv:2401.04375 [math.NT] (2024) Full Text: arXiv OA License
Mo, Jia-Li A note on a question of Shioda about integral sections. arXiv:2401.00694 Preprint, arXiv:2401.00694 [math.AG] (2024). MSC: 11G05 14H10 14J27 BibTeX Cite \textit{J.-L. Mo}, ``A note on a question of Shioda about integral sections'', Preprint, arXiv:2401.00694 [math.AG] (2024) Full Text: arXiv OA License
Omar, Sami; Eid, Abdulla On elliptic curve \(L\)-functions integrated encryption scheme. (English) Zbl 07819361 Grześkowiak, Maciej (ed.) et al., Number-theoretic methods in cryptology, NuTMiC 22. Selected papers based on the presentations at the 3rd conference, Poznań, Poland, August 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 126, 53-72 (2023). MSC: 94A60 42A16 11G05 11T71 14G50 14H52 PDFBibTeX XMLCite \textit{S. Omar} and \textit{A. Eid}, Banach Cent. Publ. 126, 53--72 (2023; Zbl 07819361) Full Text: DOI
Dujella, Andrej High-rank elliptic curves with given torsion group and some applications. (English) Zbl 07819358 Grześkowiak, Maciej (ed.) et al., Number-theoretic methods in cryptology, NuTMiC 22. Selected papers based on the presentations at the 3rd conference, Poznań, Poland, August 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 126, 9-26 (2023). MSC: 11G05 11Y05 PDFBibTeX XMLCite \textit{A. Dujella}, Banach Cent. Publ. 126, 9--26 (2023; Zbl 07819358) Full Text: DOI
Fall, Moussa; Camara, Moustapha; Sall, Oumar Algebraic points of degree at most 14 on the Fermat septic. (English) Zbl 07816073 J. Niger. Math. Soc. 42, No. 2, 96-110 (2023). MSC: 14H50 11D41 11G05 14C20 14C17 PDFBibTeX XMLCite \textit{M. Fall} et al., J. Niger. Math. Soc. 42, No. 2, 96--110 (2023; Zbl 07816073) Full Text: Link
Nikolaev, Igor V. Arithmetic complexity revisited. (English) Zbl 07808307 J. Anal. 31, No. 3, 2115-2126 (2023). MSC: 11G05 46L85 PDFBibTeX XMLCite \textit{I. V. Nikolaev}, J. Anal. 31, No. 3, 2115--2126 (2023; Zbl 07808307) Full Text: DOI arXiv
Li, Jianing On the \(\lambda\)-invariant of Selmer groups arising from certain quadratic twists of Gross curves. (English) Zbl 07800634 Tokyo J. Math. 46, No. 2, 339-354 (2023). MSC: 11R23 11G05 PDFBibTeX XMLCite \textit{J. Li}, Tokyo J. Math. 46, No. 2, 339--354 (2023; Zbl 07800634) Full Text: DOI arXiv
Castryck, Wouter; Houben, Marc; Merz, Simon-Philipp; Mula, Marzio; van Buuren, Sam; Vercauteren, Frederik Weak instances of class group action based cryptography via self-pairings. (English) Zbl 07799274 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 III. Cham: Springer. Lect. Notes Comput. Sci. 14083, 762-792 (2023). MSC: 94A60 11G20 14H52 14G15 11G05 11G07 11Y16 14H45 81P94 PDFBibTeX XMLCite \textit{W. Castryck} et al., Lect. Notes Comput. Sci. 14083, 762--792 (2023; Zbl 07799274) Full Text: DOI
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
Pastén, Héctor Elliptic surfaces and Hilbert’s tenth problem. (Spanish. English summary) Zbl 07797283 Rev. Mat. Teor. Apl. 30, No. 1, 113-120 (2023). MSC: 11U05 14J27 11G05 PDFBibTeX XMLCite \textit{H. Pastén}, Rev. Mat. Teor. Apl. 30, No. 1, 113--120 (2023; Zbl 07797283) Full Text: DOI
Fornea, Michele; Gehrmann, Lennart On the algebraicity of polyquadratic plectic points. (English) Zbl 07794993 Int. Math. Res. Not. 2023, No. 22, 19237-19265 (2023). MSC: 11G18 11G05 11G16 PDFBibTeX XMLCite \textit{M. Fornea} and \textit{L. Gehrmann}, Int. Math. Res. Not. 2023, No. 22, 19237--19265 (2023; Zbl 07794993) Full Text: DOI arXiv
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
Li, Guilin; Cheng, Teng The Selmer groups of elliptic curves \(E_n: y^2=x^3+nx\). (English) Zbl 07789458 Bull. Belg. Math. Soc. - Simon Stevin 30, No. 3, 369-385 (2023). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{G. Li} and \textit{T. Cheng}, Bull. Belg. Math. Soc. - Simon Stevin 30, No. 3, 369--385 (2023; Zbl 07789458) Full Text: DOI Link
Yvon, Zoé Polynomials realizing images of Galois representations of an elliptic curve. (English) Zbl 07787833 Funct. Approximatio, Comment. Math. 69, No. 1, 113-136 (2023). MSC: 11G05 11R32 12F12 11F80 PDFBibTeX XMLCite \textit{Z. Yvon}, Funct. Approximatio, Comment. Math. 69, No. 1, 113--136 (2023; Zbl 07787833) Full Text: DOI arXiv
Li, Yangcheng; Zhang, Yong Rational right triangle triples with special linear relationship of areas and perimeters. (English) Zbl 07787828 Funct. Approximatio, Comment. Math. 69, No. 1, 43-54 (2023). MSC: 51M25 11D72 11G05 51M05 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Zhang}, Funct. Approximatio, Comment. Math. 69, No. 1, 43--54 (2023; Zbl 07787828) Full Text: DOI
Li, Guilin; Qin, Hourong Diophantine equations, class groups and non-congruent numbers. (English) Zbl 07784982 Ramanujan J. 62, No. 4, 1081-1105 (2023). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{G. Li} and \textit{H. Qin}, Ramanujan J. 62, No. 4, 1081--1105 (2023; Zbl 07784982) Full Text: DOI
Ray, Anwesh On the corank of the fine Selmer group of an elliptic curve over a \(\mathbb{Z}_p\)-extension. (English) Zbl 07784978 Ramanujan J. 62, No. 4, 1023-1035 (2023). MSC: 11R23 11G05 PDFBibTeX XMLCite \textit{A. Ray}, Ramanujan J. 62, No. 4, 1023--1035 (2023; Zbl 07784978) Full Text: DOI arXiv
Majumdar, Dipramit; Shingavekar, Pratiksha Cube sum problem for integers having exactly two distinct prime factors. (English) Zbl 1528.11042 Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 43, 22 p. (2023). MSC: 11G05 11F67 11D25 14H52 PDFBibTeX XMLCite \textit{D. Majumdar} and \textit{P. Shingavekar}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 43, 22 p. (2023; Zbl 1528.11042) Full Text: DOI arXiv
Kellock, Lilybelle Cowland; Dokchitser, Vladimir Root numbers and parity phenomena. (English) Zbl 07779833 Bull. Lond. Math. Soc. 55, No. 6, 2557-2597 (2023). Reviewer: Alejandro José Giangreco Maidana (Asunción) MSC: 11G05 11G10 11G40 PDFBibTeX XMLCite \textit{L. C. Kellock} and \textit{V. Dokchitser}, Bull. Lond. Math. Soc. 55, No. 6, 2557--2597 (2023; Zbl 07779833) Full Text: DOI arXiv OA License
Chiloyan, Garen 2-adic Galois images of isogeny-torsion graphs over \(\mathbb{Q}\) with CM. (English) Zbl 07774974 Int. J. Number Theory 19, No. 10, 2483-2512 (2023). MSC: 11F80 11G05 11G15 14H52 PDFBibTeX XMLCite \textit{G. Chiloyan}, Int. J. Number Theory 19, No. 10, 2483--2512 (2023; Zbl 07774974) Full Text: DOI arXiv
Molyakov, Alexander On the fields of definition of genus-one covers of \(\mathbb{P}^1\). (English) Zbl 07774926 Bull. Lond. Math. Soc. 55, No. 5, 2129-2143 (2023). MSC: 11G32 14H30 11G05 12F10 PDFBibTeX XMLCite \textit{A. Molyakov}, Bull. Lond. Math. Soc. 55, No. 5, 2129--2143 (2023; Zbl 07774926) Full Text: DOI arXiv
Oliver, Thomas; Wuthrich, Christian Counting points on elliptic curves. (English) Zbl 1525.11064 Lond. Math. Soc., Newsl. 2023, No. 509, 31-35 (2023). MSC: 11G05 14G05 11G40 PDFBibTeX XMLCite \textit{T. Oliver} and \textit{C. Wuthrich}, Lond. Math. Soc., Newsl. 2023, No. 509, 31--35 (2023; Zbl 1525.11064) Full Text: Link
Mazur, Barry; Rubin, Karl Arithmetic conjectures suggested by the statistical behavior of modular symbols. (English) Zbl 07772718 Exp. Math. 32, No. 4, 657-672 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 11G05 11F67 11G40 14G05 PDFBibTeX XMLCite \textit{B. Mazur} and \textit{K. Rubin}, Exp. Math. 32, No. 4, 657--672 (2023; Zbl 07772718) Full Text: DOI arXiv
Chakraborty, Debopam; Ghale, Vinodkumar Size of the 2-Selmer groups for Heronian elliptic curves. (English) Zbl 07771896 Eur. J. Math. 9, No. 4, Paper No. 107, 9 p. (2023). MSC: 11G07 11G05 51M04 PDFBibTeX XMLCite \textit{D. Chakraborty} and \textit{V. Ghale}, Eur. J. Math. 9, No. 4, Paper No. 107, 9 p. (2023; Zbl 07771896) Full Text: DOI
Elkies, Noam D.; Goel, Gaurav On powerful integers expressible as sums of two coprime fourth powers. (English) Zbl 07771756 Res. Number Theory 9, No. 4, Paper No. 78, 17 p. (2023). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G05 14H52 11D41 11G30 PDFBibTeX XMLCite \textit{N. D. Elkies} and \textit{G. Goel}, Res. Number Theory 9, No. 4, Paper No. 78, 17 p. (2023; Zbl 07771756) Full Text: DOI
Liu, Qing Computing minimal Weierstrass equations of hyperelliptic curves. (English) Zbl 07771754 Res. Number Theory 9, No. 4, Paper No. 76, 22 p. (2023). Reviewer: José María Tornero (Sevilla) MSC: 11G30 11G05 14G25 PDFBibTeX XMLCite \textit{Q. Liu}, Res. Number Theory 9, No. 4, Paper No. 76, 22 p. (2023; Zbl 07771754) Full Text: DOI arXiv
Molnar, Grant; Voight, John Counting elliptic curves over the rationals with a 7-isogeny. (English) Zbl 07771753 Res. Number Theory 9, No. 4, Paper No. 75, 31 p. (2023). MSC: 11G05 14H52 11M06 PDFBibTeX XMLCite \textit{G. Molnar} and \textit{J. Voight}, Res. Number Theory 9, No. 4, Paper No. 75, 31 p. (2023; Zbl 07771753) Full Text: DOI arXiv
Mayle, Jacob Rigidity in elliptic curve local-global principles. (English) Zbl 07771593 Acta Arith. 211, No. 3, 265-288 (2023). MSC: 11G05 11F80 PDFBibTeX XMLCite \textit{J. Mayle}, Acta Arith. 211, No. 3, 265--288 (2023; Zbl 07771593) Full Text: DOI arXiv
Ghadermarzi, Amir Multiples of integral points on Mordell curves. (English) Zbl 07771587 Acta Arith. 211, No. 2, 121-159 (2023). Reviewer: Sajad Salami (Rio de Janeiro) MSC: 11G05 PDFBibTeX XMLCite \textit{A. Ghadermarzi}, Acta Arith. 211, No. 2, 121--159 (2023; Zbl 07771587) Full Text: DOI arXiv
Zhang, Shenxing On a comparison of cassels pairings of different elliptic curves. (English) Zbl 07771582 Acta Arith. 211, No. 1, 1-23 (2023). MSC: 11G05 11R11 11R29 PDFBibTeX XMLCite \textit{S. Zhang}, Acta Arith. 211, No. 1, 1--23 (2023; Zbl 07771582) Full Text: DOI arXiv
Bennett, Michael A. Powers from products of terms in progressions with gaps. (English) Zbl 07771573 Acta Arith. 210, 205-222 (2023). MSC: 11D41 11G05 PDFBibTeX XMLCite \textit{M. A. Bennett}, Acta Arith. 210, 205--222 (2023; Zbl 07771573) Full Text: DOI
Lecouturier, Emmanuel On the Mazur-Tate conjecture for prime conductor and Mazur’s Eisenstein ideal. (English) Zbl 07771199 Am. J. Math. 145, No. 5, 1365-1387 (2023). MSC: 11F80 11F11 11F67 11G05 11F33 14G35 PDFBibTeX XMLCite \textit{E. Lecouturier}, Am. J. Math. 145, No. 5, 1365--1387 (2023; Zbl 07771199) Full Text: DOI arXiv
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
Hamidi, Parham Residual supersingular Iwasawa theory over quadratic imaginary fields. (English) Zbl 1528.11114 Bull. Korean Math. Soc. 60, No. 4, 1035-1059 (2023). MSC: 11R23 11G05 14H52 PDFBibTeX XMLCite \textit{P. Hamidi}, Bull. Korean Math. Soc. 60, No. 4, 1035--1059 (2023; Zbl 1528.11114) Full Text: DOI arXiv
Byeon, Dongho; Kim, Taekyung; Yhee, Donggeon A conjecture of Gross and Zagier: case \(E(\mathbb{Q})_{\mathrm{tor}} \cong \mathbb{Z}/2\mathbb{Z}\) or \(\mathbb{Z}/4\mathbb{Z}\). (English) Zbl 07768257 J. Korean Math. Soc. 60, No. 5, 1087-1107 (2023). MSC: 11G05 PDFBibTeX XMLCite \textit{D. Byeon} et al., J. Korean Math. Soc. 60, No. 5, 1087--1107 (2023; Zbl 07768257) Full Text: DOI
Shabani-Solt, Hassan; Sarlak, Amir On the rational parametric solution of diagonal quartic varieties. (English) Zbl 07766451 Math. Slovaca 73, No. 5, 1153-1162 (2023). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{H. Shabani-Solt} and \textit{A. Sarlak}, Math. Slovaca 73, No. 5, 1153--1162 (2023; Zbl 07766451) Full Text: DOI arXiv
Halbeisen, Lorenz; Hungerbühler, Norbert; Zargar, Arman Shamsi; Voznyy, Maksym A geometric approach to elliptic curves with torsion groups \(\mathbb{Z}/10\mathbb{Z}\), \(\mathbb{Z}/12\mathbb{Z}\), \(\mathbb{Z}/14\mathbb{Z}\), and \(\mathbb{Z}/16\mathbb{Z}\). (English) Zbl 1524.11118 Rad Hrvat. Akad. Znan. Umjet. 555, Mat. Znan. 27, 87-109 (2023). MSC: 11G05 14H52 PDFBibTeX XMLCite \textit{L. Halbeisen} et al., Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 555(27), 87--109 (2023; Zbl 1524.11118) Full Text: DOI arXiv
Walsh, P. G. A note on lower bounds for ranks using Pell equations. (English) Zbl 1524.11123 Rad Hrvat. Akad. Znan. Umjet. 555, Mat. Znan. 27, 81-85 (2023). MSC: 11G05 11D09 PDFBibTeX XMLCite \textit{P. G. Walsh}, Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 555(27), 81--85 (2023; Zbl 1524.11123) Full Text: DOI
Lei, Antonio; Lim, Meng Fai; Müller, Katharina Asymptotic formula for Tate-Shafarevich groups of \(p\)-supersingular elliptic curves over anticyclotomic extensions. (English) Zbl 07765292 Adv. Math. 434, Article ID 109320, 28 p. (2023). MSC: 11R23 11G05 11R20 PDFBibTeX XMLCite \textit{A. Lei} et al., Adv. Math. 434, Article ID 109320, 28 p. (2023; Zbl 07765292) Full Text: DOI arXiv
Thorne, Jack A. Elliptic curves and modularity. (English) Zbl 07763409 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 643-662 (2023). MSC: 11G05 11R39 11F80 PDFBibTeX XMLCite \textit{J. A. Thorne}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 643--662 (2023; Zbl 07763409) Full Text: DOI
Bremner, Andrew; Soydan, Gökhan Integers of a quadratic field with prescribed sum and product. (English) Zbl 07763129 Colloq. Math. 173, No. 1, 25-39 (2023). MSC: 11D25 11G05 11R11 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{G. Soydan}, Colloq. Math. 173, No. 1, 25--39 (2023; Zbl 07763129) Full Text: DOI
Caro, Jerson; Pasten, Hector On the fibres of an elliptic surface where the rank does not jump. (English) Zbl 07760892 Bull. Aust. Math. Soc. 108, No. 2, 276-282 (2023). Reviewer: Remke Kloosterman (Padova) MSC: 14J27 11G05 11G40 PDFBibTeX XMLCite \textit{J. Caro} and \textit{H. Pasten}, Bull. Aust. Math. Soc. 108, No. 2, 276--282 (2023; Zbl 07760892) Full Text: DOI arXiv OA License
Cho, Peter J.; Jeong, Keunyoung On the distribution of analytic ranks of elliptic curves. (English) Zbl 07755553 Math. Z. 305, No. 3, Paper No. 42, 20 p. (2023). MSC: 11G05 11G40 11M26 PDFBibTeX XMLCite \textit{P. J. Cho} and \textit{K. Jeong}, Math. Z. 305, No. 3, Paper No. 42, 20 p. (2023; Zbl 07755553) Full Text: DOI arXiv
Amir, Malik; Hatziiliou, Andreas A short note on inadmissible coefficients of weight 2 and \(2k+1\) newforms. (English. French summary) Zbl 1523.11078 Ann. Math. Qué. 47, No. 2, 389-402 (2023). MSC: 11F30 11B39 11G05 11F80 PDFBibTeX XMLCite \textit{M. Amir} and \textit{A. Hatziiliou}, Ann. Math. Qué. 47, No. 2, 389--402 (2023; Zbl 1523.11078) Full Text: DOI arXiv OA License
Desjardins, Julie Root number in Integer parameter families of elliptic curves. (English. French summary) Zbl 07755376 Ann. Math. Qué. 47, No. 2, 367-387 (2023). Reviewer: Masanari Kida (Tōkyō) MSC: 11G05 11G40 PDFBibTeX XMLCite \textit{J. Desjardins}, Ann. Math. Qué. 47, No. 2, 367--387 (2023; Zbl 07755376) Full Text: DOI arXiv
Mocanu, Diana Asymptotic Fermat for signatures \((r,r,p)\) using the modular approach. (English) Zbl 07754306 Res. Number Theory 9, No. 4, Paper No. 71, 17 p. (2023). Reviewer: Wataru Takeda (Tōkyō) MSC: 11D41 11G05 11F80 PDFBibTeX XMLCite \textit{D. Mocanu}, Res. Number Theory 9, No. 4, Paper No. 71, 17 p. (2023; Zbl 07754306) Full Text: DOI arXiv OA License
Reyes-Bustos, Cid; Wakayama, Masato Covering families of the asymmetric quantum Rabi model: \(\eta\)-shifted non-commutative harmonic oscillators. (English) Zbl 07751294 Commun. Math. Phys. 403, No. 3, 1429-1476 (2023). MSC: 81S05 39B42 42B37 22E70 11F11 11G05 11M36 78A60 PDFBibTeX XMLCite \textit{C. Reyes-Bustos} and \textit{M. Wakayama}, Commun. Math. Phys. 403, No. 3, 1429--1476 (2023; Zbl 07751294) Full Text: DOI arXiv
Hiranouchi, Toshiro; Ohshita, Tatsuya Asymptotic behavior of class groups and cyclotomic Iwasawa theory of elliptic curves. (English. French summary) Zbl 07750333 J. Théor. Nombres Bordx. 35, No. 2, 591-657 (2023). Reviewer: James E. Carter (Charleston) MSC: 11R29 11G05 11R23 PDFBibTeX XMLCite \textit{T. Hiranouchi} and \textit{T. Ohshita}, J. Théor. Nombres Bordx. 35, No. 2, 591--657 (2023; Zbl 07750333) Full Text: DOI arXiv
Bennett, Michael A.; Michaud-Jacobs, Philippe; Siksek, Samir \(\mathbb{Q}\)-curves and the Lebesgue-Nagell equation. (English. French summary) Zbl 07750329 J. Théor. Nombres Bordx. 35, No. 2, 495-510 (2023). MSC: 11D41 11D61 11F80 11G05 PDFBibTeX XMLCite \textit{M. A. Bennett} et al., J. Théor. Nombres Bordx. 35, No. 2, 495--510 (2023; Zbl 07750329) Full Text: DOI arXiv
Attanasio, Mateo; Choi, Caroline; Mandelshtam, Andrei; Ure, Charlotte Symbol length in Brauer groups of elliptic curves. (English) Zbl 07748545 Proc. Am. Math. Soc. 151, No. 12, 5031-5046 (2023). MSC: 11G05 14H52 14F22 PDFBibTeX XMLCite \textit{M. Attanasio} et al., Proc. Am. Math. Soc. 151, No. 12, 5031--5046 (2023; Zbl 07748545) Full Text: DOI arXiv
Itoh, Tsuyoshi On the unramified Iwasawa module of a \(\mathbb{Z}_p\)-extension generated by division points of a CM elliptic curve. (English) Zbl 07747484 Riv. Mat. Univ. Parma (N.S.) 14, No. 1, 153-171 (2023). Reviewer: Raúl Alonso Rodríguez (Santa Barbara) MSC: 11R23 11G05 11G15 PDFBibTeX XMLCite \textit{T. Itoh}, Riv. Mat. Univ. Parma (N.S.) 14, No. 1, 153--171 (2023; Zbl 07747484) Full Text: arXiv Link
Im, Bo-Hae; König, Joachim Rank gain of Jacobians over number field extensions with prescribed Galois groups. (English) Zbl 1524.14063 Math. Nachr. 296, No. 4, 1469-1482 (2023). Reviewer: Noriko Yui (Kingston) MSC: 14H30 11G05 11R32 14H40 PDFBibTeX XMLCite \textit{B.-H. Im} and \textit{J. König}, Math. Nachr. 296, No. 4, 1469--1482 (2023; Zbl 1524.14063) Full Text: DOI arXiv
Capuano, Laura An overview on problems of unlikely intersections in families of abelian varieties. (English) Zbl 1525.14030 Expo. Math. 41, No. 3, 603-617 (2023). Reviewer: Mounir Hajli (Shanghai) MSC: 14G40 11G05 11U09 11G50 14G25 PDFBibTeX XMLCite \textit{L. Capuano}, Expo. Math. 41, No. 3, 603--617 (2023; Zbl 1525.14030) Full Text: DOI
Djukanović, Martin; Top, Jaap A \(K3\) surface related to Leonardo Pisano’s work on congruent numbers. (English) Zbl 1525.14047 Expo. Math. 41, No. 3, 566-576 (2023). Reviewer: Noriko Yui (Kingston) MSC: 14J28 11D09 11G05 14J20 14J27 PDFBibTeX XMLCite \textit{M. Djukanović} and \textit{J. Top}, Expo. Math. 41, No. 3, 566--576 (2023; Zbl 1525.14047) Full Text: DOI
Zhang, Xinyao On the modularity of elliptic curves over the cyclotomic \(\mathbb{Z}_p\)-extension of some real quadratic fields. (English) Zbl 07743413 Ramanujan J. 62, No. 2, 545-550 (2023). Reviewer: Yong-Xiong Li (Beijing) MSC: 11G05 11R23 PDFBibTeX XMLCite \textit{X. Zhang}, Ramanujan J. 62, No. 2, 545--550 (2023; Zbl 07743413) Full Text: DOI arXiv
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
Zywina, David The inverse Galois problem for orthogonal groups. (English) Zbl 07739842 Trans. Am. Math. Soc., Ser. B 10, 1173-1211 (2023). MSC: 12F12 14J27 11G05 11G40 PDFBibTeX XMLCite \textit{D. Zywina}, Trans. Am. Math. Soc., Ser. B 10, 1173--1211 (2023; Zbl 07739842) Full Text: DOI arXiv
Asada, Megumi; Chen, Ryan C.; Fourakis, Eva; Kim, Yujin Hong; Kwon, Andrew; Lichtman, Jared Duker; Mackall, Blake; Miller, Steven J.; Winsor, Eric; Winsor, Karl; Yang, Jianing; Yang, Kevin Lower-order biases in the second moment of Dirichlet coefficients in families of \(L\)-functions. (English) Zbl 07739745 Exp. Math. 32, No. 3, 431-456 (2023). MSC: 11G40 11G05 11K31 60B10 65Q30 PDFBibTeX XMLCite \textit{M. Asada} et al., Exp. Math. 32, No. 3, 431--456 (2023; Zbl 07739745) Full Text: DOI arXiv
Ray, Anwesh Arithmetic statistics and Diophantine stability for elliptic curves. (English) Zbl 07739354 Ramanujan J. 62, No. 1, 215-239 (2023). Reviewer: Masanari Kida (Tōkyō) MSC: 11G05 11R23 PDFBibTeX XMLCite \textit{A. Ray}, Ramanujan J. 62, No. 1, 215--239 (2023; Zbl 07739354) Full Text: DOI arXiv
Cremona, John E.; Sadek, Mohammad Local and global densities for Weierstrass models of elliptic curves. (English) Zbl 07738726 Math. Res. Lett. 30, No. 2, 413-461 (2023). MSC: 11G07 11G05 PDFBibTeX XMLCite \textit{J. E. Cremona} and \textit{M. Sadek}, Math. Res. Lett. 30, No. 2, 413--461 (2023; Zbl 07738726) Full Text: DOI arXiv