Byeon, Dongho Triquadratic 3-rational fields. (English) Zbl 07815272 Acta Arith. 212, No. 3, 289-293 (2024). MSC: 11R11 11R21 11R29 PDFBibTeX XMLCite \textit{D. Byeon}, Acta Arith. 212, No. 3, 289--293 (2024; Zbl 07815272) Full Text: DOI
Kumar, Narasimha; Sahoo, Satyabrat On the solutions of \(x^p+y^p=2^r z^p\), \(x^p+y^p=z^2\) over totally real fields. (English) Zbl 07810306 Acta Arith. 212, No. 1, 31-47 (2024). MSC: 11D41 11F80 11R04 11R80 PDFBibTeX XMLCite \textit{N. Kumar} and \textit{S. Sahoo}, Acta Arith. 212, No. 1, 31--47 (2024; Zbl 07810306) Full Text: DOI arXiv
Noytaptim, Chatchai Preperiodic points with local rationality conditions in the quadratic unicritical family. (English) Zbl 07810301 Acta Arith. 212, No. 2, 99-113 (2024). MSC: 11R80 37P05 PDFBibTeX XMLCite \textit{C. Noytaptim}, Acta Arith. 212, No. 2, 99--113 (2024; Zbl 07810301) Full Text: DOI arXiv
Lim, Meng Fai On the structure of even \(K\)-groups of rings of algebraic integers. (English) Zbl 07791435 Acta Arith. 211, No. 4, 345-361 (2023). MSC: 11R70 11R42 19F27 PDFBibTeX XMLCite \textit{M. F. Lim}, Acta Arith. 211, No. 4, 345--361 (2023; Zbl 07791435) 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
Giménez, Nardo; Matera, Guillermo; Pérez, Mariana; Privitelli, Melina The distribution of defective multivariate polynomial systems over a Finite field. (English) Zbl 07771586 Acta Arith. 211, No. 2, 97-120 (2023). MSC: 14M10 11G25 14G15 14G05 PDFBibTeX XMLCite \textit{N. Giménez} et al., Acta Arith. 211, No. 2, 97--120 (2023; Zbl 07771586) 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
Krasoń, Piotr Some remarks on the reduction map for Drinfeld modules. (English) Zbl 07771571 Acta Arith. 210, 175-190 (2023). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 14G05 14G25 11J93 PDFBibTeX XMLCite \textit{P. Krasoń}, Acta Arith. 210, 175--190 (2023; Zbl 07771571) Full Text: DOI
Banaszak, Grzegorz; Barańczuk, Stefan On reduction maps and arithmetic dynamics of Mordell-Weil type groups. (English) Zbl 07771570 Acta Arith. 210, 155-174 (2023). MSC: 37P15 11G10 PDFBibTeX XMLCite \textit{G. Banaszak} and \textit{S. Barańczuk}, Acta Arith. 210, 155--174 (2023; Zbl 07771570) Full Text: DOI
Dixit, Anup B.; Murty, M. Ram On Ihara’s conjectures for Euler-Kronecker constants. (English) Zbl 07771567 Acta Arith. 210, 95-123 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M20 11R44 11N13 11M36 PDFBibTeX XMLCite \textit{A. B. Dixit} and \textit{M. R. Murty}, Acta Arith. 210, 95--123 (2023; Zbl 07771567) Full Text: DOI
Filaseta, Michael On the factorization of lacunary polynomials. (English) Zbl 07771565 Acta Arith. 210, 23-52 (2023). Reviewer: Azizul Hoque (Allahabad) MSC: 11R09 11C08 12E05 57M50 PDFBibTeX XMLCite \textit{M. Filaseta}, Acta Arith. 210, 23--52 (2023; Zbl 07771565) Full Text: DOI arXiv
Tinková, Magdaléna On the Pythagoras number of the simplest cubic fields. (English) Zbl 07770418 Acta Arith. 208, No. 4, 325-354 (2023). Reviewer: Azizul Hoque (Allahabad) MSC: 11R16 11E25 11R80 PDFBibTeX XMLCite \textit{M. Tinková}, Acta Arith. 208, No. 4, 325--354 (2023; Zbl 07770418) Full Text: DOI arXiv
Rouse, Jeremy; Thompson, Katherine Quaternary quadratic forms with prime discriminant. (English) Zbl 07768664 Acta Arith. 209, 191-217 (2023). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E20 11F27 11F30 11E12 PDFBibTeX XMLCite \textit{J. Rouse} and \textit{K. Thompson}, Acta Arith. 209, 191--217 (2023; Zbl 07768664) Full Text: DOI arXiv
Heath-Brown, D. R. The distribution of rational points on conics. (English) Zbl 07768660 Acta Arith. 209, 91-128 (2023). MSC: 11D45 11D09 11E08 14G05 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Acta Arith. 209, 91--128 (2023; Zbl 07768660) Full Text: DOI arXiv
Mizuno, Yoshinori A certain character twisted average value of the digits of rational numbers and the class numbers of imaginary quadratic fields. (English) Zbl 07732768 Acta Arith. 208, No. 3, 215-233 (2023). Reviewer: Amin Witno (Amman) MSC: 11A63 11R29 11R11 PDFBibTeX XMLCite \textit{Y. Mizuno}, Acta Arith. 208, No. 3, 215--233 (2023; Zbl 07732768) Full Text: DOI
Meisner, Patrick Moments of traces of Frobenius of higher order Dirichlet \(L\)-functions over \(\mathbb{F}_q[T]\). (English) Zbl 07732763 Acta Arith. 208, No. 2, 127-159 (2023). Reviewer: David Lowry-Duda (Providence) MSC: 11M38 11M26 PDFBibTeX XMLCite \textit{P. Meisner}, Acta Arith. 208, No. 2, 127--159 (2023; Zbl 07732763) Full Text: DOI arXiv
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława \(p\)-adic local Langlands correspondence and Kisin rings. (Correspondance de Langlands locale \(p\)-adique et anneaux de Kisin.) (French. English summary) Zbl 07732762 Acta Arith. 208, No. 2, 101-126 (2023). Reviewer: Laurent Berger (Lyon) MSC: 11F80 11S37 22E50 11F85 PDFBibTeX XMLCite \textit{P. Colmez} et al., Acta Arith. 208, No. 2, 101--126 (2023; Zbl 07732762) Full Text: DOI arXiv
Barrios, Alexander J. Lower bounds for the modified Szpiro ratio. (English) Zbl 07732759 Acta Arith. 208, No. 1, 51-68 (2023). MSC: 11G05 11D75 11J25 PDFBibTeX XMLCite \textit{A. J. Barrios}, Acta Arith. 208, No. 1, 51--68 (2023; Zbl 07732759) Full Text: DOI arXiv
Adžaga, Nikola; Arul, Vishal; Beneish, Lea; Chen, Mingjie; Chidambaram, Shiva; Keller, Timo; Wen, Boya Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6. (English) Zbl 07732758 Acta Arith. 208, No. 1, 15-49 (2023). MSC: 14G05 11G30 11G18 PDFBibTeX XMLCite \textit{N. Adžaga} et al., Acta Arith. 208, No. 1, 15--49 (2023; Zbl 07732758) Full Text: DOI arXiv
Bremner, Andrew; Nguyen Xuan Tho On Fermat quartics \(x^4+y^4 = Dz^4\) over cubic fields. (English) Zbl 07683780 Acta Arith. 207, No. 3, 217-234 (2023). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R16 14G05 14G25 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{Nguyen Xuan Tho}, Acta Arith. 207, No. 3, 217--234 (2023; Zbl 07683780) Full Text: DOI
Blache, Régis; Pierre, Timothé Zeta functions of quadratic Artin-Schreier curves in characteristic two. (English) Zbl 07683760 Acta Arith. 207, No. 1, 39-56 (2023). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R59 11M38 14G15 PDFBibTeX XMLCite \textit{R. Blache} and \textit{T. Pierre}, Acta Arith. 207, No. 1, 39--56 (2023; Zbl 07683760) Full Text: DOI arXiv
Bringmann, Kathrin; Kane, Ben; Pujahari, Sudhir Formulas for moments of class numbers in arithmetic progressions. (English) Zbl 1528.11022 Acta Arith. 207, No. 1, 19-38 (2023). Reviewer: Meinhard Peters (Münster) MSC: 11E41 11F27 11F37 11G05 PDFBibTeX XMLCite \textit{K. Bringmann} et al., Acta Arith. 207, No. 1, 19--38 (2023; Zbl 1528.11022) Full Text: DOI arXiv
Bars, Francesc; Dalal, Tarun Infinitely many cubic points for \(X_0^+(N)\) over \(\mathbb{Q}\). (English) Zbl 1515.11057 Acta Arith. 206, No. 4, 373-388 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G18 11G30 14G05 14H10 14H25 PDFBibTeX XMLCite \textit{F. Bars} and \textit{T. Dalal}, Acta Arith. 206, No. 4, 373--388 (2022; Zbl 1515.11057) Full Text: DOI arXiv
Banerjee, Pradipto On an application of the \(abc\)-theorem for polynomials to the squarefree neighbour problem. (English) Zbl 1509.11020 Acta Arith. 206, No. 2, 189-195 (2022). Reviewer: Artūras Dubickas (Vilnius) MSC: 11C08 12D05 PDFBibTeX XMLCite \textit{P. Banerjee}, Acta Arith. 206, No. 2, 189--195 (2022; Zbl 1509.11020) Full Text: DOI
Jeon, Daeyeol Trielliptic modular curves \(X_1(N)\). (English) Zbl 1515.11059 Acta Arith. 206, No. 2, 171-188 (2022). Reviewer: Lei Yang (Beijing) MSC: 11G18 11G30 PDFBibTeX XMLCite \textit{D. Jeon}, Acta Arith. 206, No. 2, 171--188 (2022; Zbl 1515.11059) Full Text: DOI
Licht, Philipp Hyperbolicity of the moduli of certain Fano threefolds. (English) Zbl 1514.14044 Acta Arith. 206, No. 1, 75-95 (2022). MSC: 14J20 14D23 14G05 14J45 32Q45 PDFBibTeX XMLCite \textit{P. Licht}, Acta Arith. 206, No. 1, 75--95 (2022; Zbl 1514.14044) Full Text: DOI arXiv
Billingsley, Tyler Raven An extension to the Gusić-Tadić specialization criterion. (English) Zbl 1510.11119 Acta Arith. 206, No. 1, 35-44 (2022). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 14H52 PDFBibTeX XMLCite \textit{T. R. Billingsley}, Acta Arith. 206, No. 1, 35--44 (2022; Zbl 1510.11119) Full Text: DOI arXiv
Kulkarni, Kaivalya R.; Levin, Aaron Hilbert’s irreducibility theorem and ideal class groups of quadratic fields. (English) Zbl 1515.11113 Acta Arith. 205, No. 4, 371-380 (2022). Reviewer: Francesco Battistoni (Milano) MSC: 11R29 12E25 PDFBibTeX XMLCite \textit{K. R. Kulkarni} and \textit{A. Levin}, Acta Arith. 205, No. 4, 371--380 (2022; Zbl 1515.11113) Full Text: DOI arXiv
Berardini, Elena; Nardi, Jade Curves on Frobenius classical surfaces in \(\mathbb{P}^3\) over finite fields. (English) Zbl 1516.11067 Acta Arith. 205, No. 4, 323-340 (2022). Reviewer: Mariana Coutinho (São Carlos) MSC: 11G20 14G05 14H50 14J70 PDFBibTeX XMLCite \textit{E. Berardini} and \textit{J. Nardi}, Acta Arith. 205, No. 4, 323--340 (2022; Zbl 1516.11067) Full Text: DOI arXiv
Damir, Mohamed Taoufiq; Mantilla-Soler, Guillermo Bases of minimal vectors in tame lattices. (English) Zbl 1510.11122 Acta Arith. 205, No. 3, 265-285 (2022). Reviewer: Alar Leibak (Tallinn) MSC: 11H06 11H50 11R21 PDFBibTeX XMLCite \textit{M. T. Damir} and \textit{G. Mantilla-Soler}, Acta Arith. 205, No. 3, 265--285 (2022; Zbl 1510.11122) Full Text: DOI arXiv
Ray, Anwesh Statistics for \(p\)-ranks of Artin-Schreier covers. (English) Zbl 1514.11039 Acta Arith. 205, No. 3, 211-226 (2022). Reviewer: Matthew Schmidt (Allegany) MSC: 11G20 11T06 11T55 14G17 14H25 PDFBibTeX XMLCite \textit{A. Ray}, Acta Arith. 205, No. 3, 211--226 (2022; Zbl 1514.11039) Full Text: DOI arXiv
Wu, Han Noninvariance of weak approximation with Brauer-Manin obstruction for surfaces. (English) Zbl 07601563 Acta Arith. 205, No. 1, 21-32 (2022). MSC: 11G35 14G12 14F22 14G05 PDFBibTeX XMLCite \textit{H. Wu}, Acta Arith. 205, No. 1, 21--32 (2022; Zbl 07601563) Full Text: DOI arXiv
Katayama, Yuta; Kida, Masanari Coincidence of \(L\)-functions. (English) Zbl 1509.11107 Acta Arith. 204, No. 4, 369-385 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11R32 11R21 PDFBibTeX XMLCite \textit{Y. Katayama} and \textit{M. Kida}, Acta Arith. 204, No. 4, 369--385 (2022; Zbl 1509.11107) Full Text: DOI
Qi, Zhi A Voronoï-Oppenheim summation formula for number fields. (English) Zbl 1509.11041 Acta Arith. 204, No. 3, 269-285 (2022). Reviewer: Wen-Wei Li (Beijing) MSC: 11F70 11F72 PDFBibTeX XMLCite \textit{Z. Qi}, Acta Arith. 204, No. 3, 269--285 (2022; Zbl 1509.11041) Full Text: DOI arXiv
Byeon, Dongho Elliptic curves with conductor having \(n\) prime factors. (English) Zbl 1506.11085 Acta Arith. 204, No. 2, 185-190 (2022). Reviewer: Andrej Dujella (Zagreb) MSC: 11G05 11G07 14G05 PDFBibTeX XMLCite \textit{D. Byeon}, Acta Arith. 204, No. 2, 185--190 (2022; Zbl 1506.11085) Full Text: DOI
Hu, Yining; Han, Guo-Niu On the algebraicity of Thue-Morse and period-doubling continued fractions. (English) Zbl 1498.11083 Acta Arith. 203, No. 4, 353-381 (2022). MSC: 11B85 11J70 11B50 11Y65 05A15 11T55 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{G.-N. Han}, Acta Arith. 203, No. 4, 353--381 (2022; Zbl 1498.11083) Full Text: DOI arXiv
Michaud-Jacobs, Philippe Fermat’s last theorem and modular curves over real quadratic fields. (English) Zbl 1503.11071 Acta Arith. 203, No. 4, 319-351 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D41 11F80 11G18 11G05 14G05 PDFBibTeX XMLCite \textit{P. Michaud-Jacobs}, Acta Arith. 203, No. 4, 319--351 (2022; Zbl 1503.11071) Full Text: DOI arXiv
Li, Yong-Xiong Selmer groups of certain abelian varieties with complex multiplication. (English) Zbl 1501.11099 Acta Arith. 203, No. 4, 289-305 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11G05 11G10 PDFBibTeX XMLCite \textit{Y.-X. Li}, Acta Arith. 203, No. 4, 289--305 (2022; Zbl 1501.11099) Full Text: DOI
Melninkas, Lukas On the root numbers of abelian varieties with real multiplication. (English) Zbl 1497.11160 Acta Arith. 203, No. 2, 137-163 (2022). Reviewer: Sungkon Chang (Savannah) MSC: 11G10 14K15 11F80 11G40 PDFBibTeX XMLCite \textit{L. Melninkas}, Acta Arith. 203, No. 2, 137--163 (2022; Zbl 1497.11160) Full Text: DOI arXiv
Car, Mireille; Mauduit, Christian Completely \(Q\)-additive functions along irreducible polynomials with coefficients in a finite field. (Fonctions complètement \(Q\)-additives le long des polynômes irréductibles à coefficients dans un corps fini.) (French. English summary) Zbl 1511.11100 Acta Arith. 203, No. 2, 97-136 (2022). MSC: 11T23 11T06 11T55 PDFBibTeX XMLCite \textit{M. Car} and \textit{C. Mauduit}, Acta Arith. 203, No. 2, 97--136 (2022; Zbl 1511.11100) Full Text: DOI
Chen, Chien-Hua Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2. (English) Zbl 1501.11064 Acta Arith. 202, No. 4, 361-377 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11R32 11R37 11R58 11R60 PDFBibTeX XMLCite \textit{C.-H. Chen}, Acta Arith. 202, No. 4, 361--377 (2022; Zbl 1501.11064) Full Text: DOI arXiv
Kolderup, Håkon Remarks on classical number-theoretic aspects of Milnor-Witt K-theory. (English) Zbl 1495.11122 Acta Arith. 202, No. 4, 337-359 (2022). Reviewer: Kevin Hutchinson (Dublin) MSC: 11R04 11R70 11S70 14F42 19F15 PDFBibTeX XMLCite \textit{H. Kolderup}, Acta Arith. 202, No. 4, 337--359 (2022; Zbl 1495.11122) Full Text: DOI arXiv
Ding, Zhiguo; Zieve, Michael E. Low-degree permutation rational functions over finite fields. (English) Zbl 1492.11162 Acta Arith. 202, No. 3, 253-280 (2022). MSC: 11T06 11R32 PDFBibTeX XMLCite \textit{Z. Ding} and \textit{M. E. Zieve}, Acta Arith. 202, No. 3, 253--280 (2022; Zbl 1492.11162) Full Text: DOI arXiv
Ray, Jishnu On the growth of \(\mu\)-invariant in Iwasawa theory of supersingular elliptic curves. (English) Zbl 1510.11155 Acta Arith. 202, No. 3, 241-251 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11G05 PDFBibTeX XMLCite \textit{J. Ray}, Acta Arith. 202, No. 3, 241--251 (2022; Zbl 1510.11155) Full Text: DOI arXiv
Kim, Daejun Weighted sums of generalized polygonal numbers with coefficients \(1\) or \(2\). (English) Zbl 1491.11037 Acta Arith. 202, No. 3, 227-240 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E25 11E08 PDFBibTeX XMLCite \textit{D. Kim}, Acta Arith. 202, No. 3, 227--240 (2022; Zbl 1491.11037) Full Text: DOI arXiv
Ouyang, Yi; Zhang, Shenxing Errata to: “On second 2-descent and non-congruent numbers”. (English) Zbl 1482.11082 Acta Arith. 202, No. 2, 203 (2022). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{Y. Ouyang} and \textit{S. Zhang}, Acta Arith. 202, No. 2, 203 (2022; Zbl 1482.11082) Full Text: DOI
Hashimoto, Sachi; Spelier, Pim A geometric linear Chabauty comparison theorem. (English) Zbl 07496898 Acta Arith. 202, No. 1, 67-88 (2022). MSC: 11G30 11D45 PDFBibTeX XMLCite \textit{S. Hashimoto} and \textit{P. Spelier}, Acta Arith. 202, No. 1, 67--88 (2022; Zbl 07496898) Full Text: DOI arXiv
Phillips, Tristan Most elliptic curves over global function fields are torsion free. (English) Zbl 1489.11083 Acta Arith. 202, No. 1, 21-28 (2022). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11F80 11N36 PDFBibTeX XMLCite \textit{T. Phillips}, Acta Arith. 202, No. 1, 21--28 (2022; Zbl 1489.11083) Full Text: DOI arXiv
Lumley, Allysa Moments and distribution of values of \(L\)-functions over function fields inside the critical strip. (English) Zbl 1483.11179 Acta Arith. 201, No. 4, 329-369 (2021). MSC: 11M06 11M38 11R58 PDFBibTeX XMLCite \textit{A. Lumley}, Acta Arith. 201, No. 4, 329--369 (2021; Zbl 1483.11179) Full Text: DOI
Byeon, Dongho; Kim, Jigu Class number problem for a family of real quadratic fields. (English) Zbl 1483.11111 Acta Arith. 201, No. 2, 207-217 (2021). MSC: 11G05 11R11 11R29 PDFBibTeX XMLCite \textit{D. Byeon} and \textit{J. Kim}, Acta Arith. 201, No. 2, 207--217 (2021; Zbl 1483.11111) Full Text: DOI
Stucky, Pascal Annihilators of the ideal class group of a cyclic extension of a global function field. (English) Zbl 1494.11090 Acta Arith. 201, No. 2, 177-205 (2021). Reviewer: Isabelle Dubois (Metz) MSC: 11R20 11R58 11R27 11R29 11G09 PDFBibTeX XMLCite \textit{P. Stucky}, Acta Arith. 201, No. 2, 177--205 (2021; Zbl 1494.11090) Full Text: DOI arXiv
Matar, Ahmed Kolyvagin’s work and anticyclotomic tower fields: the supersingular case. (English) Zbl 1483.11116 Acta Arith. 201, No. 2, 131-147 (2021). MSC: 11G05 11R23 PDFBibTeX XMLCite \textit{A. Matar}, Acta Arith. 201, No. 2, 131--147 (2021; Zbl 1483.11116) Full Text: DOI
Hajdu, G.; Hajdu, L. On the Liouville function on rational polynomial values. (English) Zbl 1498.11194 Acta Arith. 201, No. 2, 119-130 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11N32 11G05 11D09 11D25 PDFBibTeX XMLCite \textit{G. Hajdu} and \textit{L. Hajdu}, Acta Arith. 201, No. 2, 119--130 (2021; Zbl 1498.11194) Full Text: DOI
Bary-Soroker, Lior; Ben-Porath, Or On the Galois theory of generalized Laguerre polynomials and trimmed exponential. (English) Zbl 1489.11180 Acta Arith. 200, No. 2, 183-196 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R09 11B83 11C08 11R32 12E05 33C45 42C05 PDFBibTeX XMLCite \textit{L. Bary-Soroker} and \textit{O. Ben-Porath}, Acta Arith. 200, No. 2, 183--196 (2021; Zbl 1489.11180) Full Text: DOI arXiv
El Fadil, Lhoussain On power integral bases for certain pure number fields defined by \(x^{2\cdot 3^k}-m\). (English) Zbl 1491.11098 Acta Arith. 201, No. 3, 269-280 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R21 11Y40 PDFBibTeX XMLCite \textit{L. El Fadil}, Acta Arith. 201, No. 3, 269--280 (2021; Zbl 1491.11098) Full Text: DOI
Jaulent, Jean-François Stickelberger annihilators of logarithmic class groups. (Annulateurs de Stickelberger des groupes de classes logarithmiques.) (French. English summary) Zbl 1489.11185 Acta Arith. 201, No. 3, 241-253 (2021). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R23 11R37 11R70 PDFBibTeX XMLCite \textit{J.-F. Jaulent}, Acta Arith. 201, No. 3, 241--253 (2021; Zbl 1489.11185) Full Text: DOI arXiv
Kalaydzhieva, Nikoleta Markov and Lagrange spectra for Laurent series in \(1/T\) with rational coefficients. (English) Zbl 1483.11140 Acta Arith. 200, No. 1, 17-38 (2021). MSC: 11J06 11E16 PDFBibTeX XMLCite \textit{N. Kalaydzhieva}, Acta Arith. 200, No. 1, 17--38 (2021; Zbl 1483.11140) Full Text: DOI arXiv
Ding, Yuchen; Zhou, Haiyan Romanoff’s theorem for polynomials over finite fields revisited. (English) Zbl 1496.11136 Acta Arith. 200, No. 1, 1-15 (2021). MSC: 11T06 11B05 11N36 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{H. Zhou}, Acta Arith. 200, No. 1, 1--15 (2021; Zbl 1496.11136) Full Text: DOI
Paredes, Marcelo Ill-distributed sets over global fields and exceptional sets in Diophantine geometry. (English) Zbl 1484.11151 Acta Arith. 199, No. 4, 361-382 (2021). Reviewer: Alexandra Shlapentokh (Greenville) MSC: 11G50 11G99 11U09 PDFBibTeX XMLCite \textit{M. Paredes}, Acta Arith. 199, No. 4, 361--382 (2021; Zbl 1484.11151) Full Text: DOI arXiv
Angelakis, Athanasios; Stevenhagen, Peter Adelic point groups of elliptic curves. (English) Zbl 1472.11172 Acta Arith. 199, No. 3, 221-236 (2021). MSC: 11G05 11G07 11F80 PDFBibTeX XMLCite \textit{A. Angelakis} and \textit{P. Stevenhagen}, Acta Arith. 199, No. 3, 221--236 (2021; Zbl 1472.11172) Full Text: DOI arXiv
Swaenepoel, Cathy; Winterhof, Arne Additive double character sums over some structured sets and applications. (English) Zbl 1482.11158 Acta Arith. 199, No. 2, 135-143 (2021). Reviewer: Telveenus Antony (Kingston upon Thames) MSC: 11T23 11T30 PDFBibTeX XMLCite \textit{C. Swaenepoel} and \textit{A. Winterhof}, Acta Arith. 199, No. 2, 135--143 (2021; Zbl 1482.11158) Full Text: DOI arXiv
Frey, Linda Explicit small heights in infinite non-abelian extensions. (English) Zbl 1482.11081 Acta Arith. 199, No. 2, 111-133 (2021). Reviewer: Michael A. Bennett (Vancouver) MSC: 11G05 11G50 PDFBibTeX XMLCite \textit{L. Frey}, Acta Arith. 199, No. 2, 111--133 (2021; Zbl 1482.11081) Full Text: DOI arXiv
Javanpeykar, Ariyan Rational points and ramified covers of products of two elliptic curves. (English) Zbl 1468.14054 Acta Arith. 198, No. 3, 275-287 (2021). Reviewer: Ljudmila Kamenova (New York) MSC: 14G99 11G35 14G05 32Q45 PDFBibTeX XMLCite \textit{A. Javanpeykar}, Acta Arith. 198, No. 3, 275--287 (2021; Zbl 1468.14054) Full Text: DOI arXiv
Louboutin, Stéphane R. Upper bounds on residues of Dedekind zeta functions of non-normal totally real cubic fields. (English) Zbl 1470.11297 Acta Arith. 198, No. 3, 233-256 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M20 11R11 11R16 PDFBibTeX XMLCite \textit{S. R. Louboutin}, Acta Arith. 198, No. 3, 233--256 (2021; Zbl 1470.11297) Full Text: DOI
Pritsker, Igor Heights of polynomials over lemniscates. (English) Zbl 1471.11263 Acta Arith. 198, No. 3, 219-231 (2021). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 12D10 30C10 30C15 PDFBibTeX XMLCite \textit{I. Pritsker}, Acta Arith. 198, No. 3, 219--231 (2021; Zbl 1471.11263) Full Text: DOI arXiv
Pham, Duc Hiep A note on sum-product estimates over finite valuation rings. (English) Zbl 1471.11027 Acta Arith. 198, No. 2, 187-194 (2021). MSC: 11B30 05C25 PDFBibTeX XMLCite \textit{D. H. Pham}, Acta Arith. 198, No. 2, 187--194 (2021; Zbl 1471.11027) Full Text: DOI arXiv
Verzobio, Matteo Primitive divisors of elliptic divisibility sequences for elliptic curves with \(j=1728\). (English) Zbl 1476.11090 Acta Arith. 198, No. 2, 129-168 (2021). Reviewer: Andrej Dujella (Zagreb) MSC: 11G05 11B39 11A41 11D59 11G07 11G50 PDFBibTeX XMLCite \textit{M. Verzobio}, Acta Arith. 198, No. 2, 129--168 (2021; Zbl 1476.11090) Full Text: DOI arXiv
Kühne, Lars Intersection of class fields. (English) Zbl 1509.11052 Acta Arith. 198, No. 2, 109-127 (2021). MSC: 11G18 11R37 11G05 14G35 PDFBibTeX XMLCite \textit{L. Kühne}, Acta Arith. 198, No. 2, 109--127 (2021; Zbl 1509.11052) Full Text: DOI arXiv
Andrade, J. C.; Macmillan, J. The first moment of \(L\bigl(\frac{1}{2},\chi\bigr)\) for real quadratic function fields. (English) Zbl 1486.11141 Acta Arith. 198, No. 1, 1-35 (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R59 11M38 11G20 11M06 PDFBibTeX XMLCite \textit{J. C. Andrade} and \textit{J. Macmillan}, Acta Arith. 198, No. 1, 1--35 (2021; Zbl 1486.11141) Full Text: DOI arXiv
Brock, Bradley W.; Elkies, Noam D.; Jordan, Bruce W. Periodic continued fractions over \(S\)-integers in number fields and Skolem’s \(p\)-adic method. (English) Zbl 1467.11064 Acta Arith. 197, No. 4, 379-420 (2021). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11J70 11G30 PDFBibTeX XMLCite \textit{B. W. Brock} et al., Acta Arith. 197, No. 4, 379--420 (2021; Zbl 1467.11064) Full Text: DOI arXiv
Ahmed, Suman; Lim, Meng Fai On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above \(p\). (English) Zbl 1473.11200 Acta Arith. 197, No. 4, 353-377 (2021). MSC: 11R23 11G05 11S25 PDFBibTeX XMLCite \textit{S. Ahmed} and \textit{M. F. Lim}, Acta Arith. 197, No. 4, 353--377 (2021; Zbl 1473.11200) Full Text: DOI arXiv
Mani, Nitya; Rubinstein-Salzedo, Simon Diophantine tuples over \(\mathbb{Z}_p\). (English) Zbl 1465.11089 Acta Arith. 197, No. 4, 331-351 (2021). MSC: 11D88 11D45 11D72 PDFBibTeX XMLCite \textit{N. Mani} and \textit{S. Rubinstein-Salzedo}, Acta Arith. 197, No. 4, 331--351 (2021; Zbl 1465.11089) Full Text: DOI arXiv
Kammeyer, Holger Profinite commensurability of \(S\)-arithmetic groups. (English) Zbl 1477.20091 Acta Arith. 197, No. 3, 311-330 (2021). Reviewer: Alexander W. Mason (Glasgow) MSC: 20G30 20E18 20G25 11F75 PDFBibTeX XMLCite \textit{H. Kammeyer}, Acta Arith. 197, No. 3, 311--330 (2021; Zbl 1477.20091) Full Text: DOI arXiv
Car, Mireille; Gallardo, Luis H. Representation of a polynomial as the sum of an irreducible polynomial and a square-free polynomial. (English) Zbl 1459.11230 Acta Arith. 197, No. 3, 293-309 (2021). MSC: 11T55 11T06 PDFBibTeX XMLCite \textit{M. Car} and \textit{L. H. Gallardo}, Acta Arith. 197, No. 3, 293--309 (2021; Zbl 1459.11230) Full Text: DOI
Levin, Aaron; Yan, Shengkuan; Wiljanen, Luke Quadratic fields with a class group of large 3-rank. (English) Zbl 1473.11205 Acta Arith. 197, No. 3, 275-292 (2021). Reviewer: Claude Levesque (Québec) MSC: 11R29 11G30 14H40 PDFBibTeX XMLCite \textit{A. Levin} et al., Acta Arith. 197, No. 3, 275--292 (2021; Zbl 1473.11205) Full Text: DOI arXiv
Hiranouchi, Toshiro Galois symbol maps for abelian varieties over a \(p\)-adic field. (English) Zbl 1487.11105 Acta Arith. 197, No. 2, 137-157 (2021). Reviewer: Xiao Xiao (Utica) MSC: 11R37 11G10 14K15 PDFBibTeX XMLCite \textit{T. Hiranouchi}, Acta Arith. 197, No. 2, 137--157 (2021; Zbl 1487.11105) Full Text: DOI arXiv
Breuer, Florian; Pazuki, Fabien; Razafinjatovo, Mahefason Heriniaina Heights and isogenies of Drinfeld modules. (English) Zbl 1468.11131 Acta Arith. 197, No. 2, 111-128 (2021). Reviewer: Oğuz Gezmiş (Hsinchu) MSC: 11G09 11G50 14G17 14G40 PDFBibTeX XMLCite \textit{F. Breuer} et al., Acta Arith. 197, No. 2, 111--128 (2021; Zbl 1468.11131) Full Text: DOI arXiv
Chattopadhyay, Jaitra; Muthukrishnan, Subramani On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields. (English) Zbl 1466.11079 Acta Arith. 197, No. 1, 105-110 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R11 11R29 PDFBibTeX XMLCite \textit{J. Chattopadhyay} and \textit{S. Muthukrishnan}, Acta Arith. 197, No. 1, 105--110 (2021; Zbl 1466.11079) Full Text: DOI arXiv
Deschamps, Bruno; Legrand, François Concerning a weak version of the inverse Galois problem. (À propos d’une version faible du problème inverse de Galois.) (French. English summary) Zbl 1464.12006 Acta Arith. 197, No. 1, 55-76 (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 12F10 12F12 20B25 12E25 12E30 PDFBibTeX XMLCite \textit{B. Deschamps} and \textit{F. Legrand}, Acta Arith. 197, No. 1, 55--76 (2021; Zbl 1464.12006) Full Text: DOI arXiv
Bartoli, Daniele; Montanucci, Maria; Zini, Giovanni Weierstrass semigroups at every point of the Suzuki curve. (English) Zbl 1460.11089 Acta Arith. 197, No. 1, 1-20 (2021). Reviewer: David Joyner (Annapolis) MSC: 11G20 11R58 14H05 14H55 PDFBibTeX XMLCite \textit{D. Bartoli} et al., Acta Arith. 197, No. 1, 1--20 (2021; Zbl 1460.11089) Full Text: DOI arXiv
Doyle, John R. Preperiodic points for quadratic polynomials over cyclotomic quadratic fields. (English) Zbl 1465.37111 Acta Arith. 196, No. 3, 219-268 (2020). Reviewer: Nikolai L. Manev (Sofia) MSC: 37P35 37P05 37P15 14G05 11R18 PDFBibTeX XMLCite \textit{J. R. Doyle}, Acta Arith. 196, No. 3, 219--268 (2020; Zbl 1465.37111) Full Text: DOI arXiv
Filaseta, Michael; Li, Huixi; Patane, Frank; Skabelund, Dane On the irreducibility of the non-reciprocal part of polynomials of the form \(f(x)x^n+g(x)\). (English) Zbl 1467.11097 Acta Arith. 196, No. 2, 187-201 (2020). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R09 12E05 11C08 13P05 PDFBibTeX XMLCite \textit{M. Filaseta} et al., Acta Arith. 196, No. 2, 187--201 (2020; Zbl 1467.11097) Full Text: DOI
Colliot-Thélène, Jean-Louis Generic point and Mordell-Weil rank jump. (Point générique et saut du rang du groupe de Mordell-Weil.) (English) Zbl 1460.14096 Acta Arith. 196, No. 1, 93-108 (2020). MSC: 14K15 14G05 14D10 11G10 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène}, Acta Arith. 196, No. 1, 93--108 (2020; Zbl 1460.14096) Full Text: DOI arXiv
Dakkak, Ahmed; Essahel, Said; Mouhib, Ali On the cyclicity of the 2-class group of the fields \(\mathbb{Q}(i,\sqrt{p_1},\dots,\sqrt{p_n})\). (English) Zbl 1462.11102 Acta Arith. 196, No. 1, 53-68 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R29 11R11 11R21 PDFBibTeX XMLCite \textit{A. Dakkak} et al., Acta Arith. 196, No. 1, 53--68 (2020; Zbl 1462.11102) Full Text: DOI
Lv, Chang Diophantine equations defined by binary quadratic forms over rational function fields. (English) Zbl 1466.11014 Acta Arith. 196, No. 1, 35-51 (2020). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E12 11D57 11R58 14L30 11R37 PDFBibTeX XMLCite \textit{C. Lv}, Acta Arith. 196, No. 1, 35--51 (2020; Zbl 1466.11014) Full Text: DOI arXiv
Palmer, Matthew The Duffin-Schaeffer theorem in number fields. (English) Zbl 1471.11211 Acta Arith. 196, No. 1, 1-16 (2020). Reviewer: Simon Kristensen (Aarhus) MSC: 11J17 11J83 11K60 PDFBibTeX XMLCite \textit{M. Palmer}, Acta Arith. 196, No. 1, 1--16 (2020; Zbl 1471.11211) Full Text: DOI arXiv
Macias Castillo, Daniel Congruences for critical values of higher derivatives of twisted Hasse-Weil \(L\)-functions. II. (English) Zbl 1468.11152 Acta Arith. 195, No. 4, 327-365 (2020). MSC: 11G40 11G35 11R34 PDFBibTeX XMLCite \textit{D. Macias Castillo}, Acta Arith. 195, No. 4, 327--365 (2020; Zbl 1468.11152) Full Text: DOI
Coppola, Nirvana Wild Galois representations: elliptic curves over a 3-adic field. (English) Zbl 1469.11176 Acta Arith. 195, No. 3, 289-303 (2020). MSC: 11G07 11F80 11G40 PDFBibTeX XMLCite \textit{N. Coppola}, Acta Arith. 195, No. 3, 289--303 (2020; Zbl 1469.11176) Full Text: DOI arXiv
Hou, Xiang-Dong; Iezzi, Annamaria An application of the Hasse-Weil bound to rational functions over finite fields. (English) Zbl 1456.11228 Acta Arith. 195, No. 2, 207-216 (2020). Reviewer: Mariana Pérez (Buenos Aires) MSC: 11T06 11R58 14H05 PDFBibTeX XMLCite \textit{X.-D. Hou} and \textit{A. Iezzi}, Acta Arith. 195, No. 2, 207--216 (2020; Zbl 1456.11228) Full Text: DOI arXiv
Hu, Yueke; Shu, Jie; Yin, Hongbo Waldspurger’s period integral for newforms. (English) Zbl 1478.11079 Acta Arith. 195, No. 2, 177-197 (2020). Reviewer: Fan Gao (Hangzhou) MSC: 11F70 PDFBibTeX XMLCite \textit{Y. Hu} et al., Acta Arith. 195, No. 2, 177--197 (2020; Zbl 1478.11079) Full Text: DOI arXiv
Bondarewicz, Wojciech; Krasoń, Piotr On a reduction map for Drinfeld modules. (English) Zbl 1458.11096 Acta Arith. 195, No. 2, 109-129 (2020). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 14G05 14G25 11J93 PDFBibTeX XMLCite \textit{W. Bondarewicz} and \textit{P. Krasoń}, Acta Arith. 195, No. 2, 109--129 (2020; Zbl 1458.11096) Full Text: DOI arXiv
Freitas, Nuno; Kraus, Alain On the degree of the \(p\)-torsion field of elliptic curves over \(\mathbb{Q}_\ell\) for \(\ell \neq p\). (English) Zbl 1448.11103 Acta Arith. 195, No. 1, 13-55 (2020). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11G07 PDFBibTeX XMLCite \textit{N. Freitas} and \textit{A. Kraus}, Acta Arith. 195, No. 1, 13--55 (2020; Zbl 1448.11103) Full Text: DOI arXiv
Zaïmi, Toufik Salem numbers as Mahler measures of Gaussian Pisot numbers. (English) Zbl 1450.11111 Acta Arith. 194, No. 4, 383-392 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R06 11R80 PDFBibTeX XMLCite \textit{T. Zaïmi}, Acta Arith. 194, No. 4, 383--392 (2020; Zbl 1450.11111) Full Text: DOI
Schmidt, Ralf Paramodular forms in CAP representations of \(\mathrm{GSp}(4)\). (English) Zbl 1452.11056 Acta Arith. 194, No. 4, 319-340 (2020). MSC: 11F46 11F70 PDFBibTeX XMLCite \textit{R. Schmidt}, Acta Arith. 194, No. 4, 319--340 (2020; Zbl 1452.11056) Full Text: DOI
Slavov, Kaloyan Factorization type probabilities of polynomials with prescribed coefficients over a finite field. (English) Zbl 1445.14040 Acta Arith. 194, No. 3, 315-318 (2020). Reviewer: Edoardo Ballico (Povo) MSC: 14G15 12F10 PDFBibTeX XMLCite \textit{K. Slavov}, Acta Arith. 194, No. 3, 315--318 (2020; Zbl 1445.14040) Full Text: DOI arXiv
Badr, Eslam; Bars, Francesc Hypersurface model-fields of definition for smooth hypersurfaces and their twists. (English) Zbl 1442.14137 Acta Arith. 194, No. 3, 267-280 (2020). MSC: 14J70 11D72 11D41 14J50 14F22 PDFBibTeX XMLCite \textit{E. Badr} and \textit{F. Bars}, Acta Arith. 194, No. 3, 267--280 (2020; Zbl 1442.14137) Full Text: DOI arXiv
Saikia, Anupam On the Iwasawa \(\mu \)-invariants of supersingular elliptic curves. (English) Zbl 1477.11186 Acta Arith. 194, No. 2, 179-186 (2020). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R23 11G05 PDFBibTeX XMLCite \textit{A. Saikia}, Acta Arith. 194, No. 2, 179--186 (2020; Zbl 1477.11186) Full Text: DOI
Kim, Daejun On a quadratic Waring’s problem with congruence conditions. (English) Zbl 1448.11077 Acta Arith. 194, No. 1, 73-97 (2020). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11E12 11E25 11P05 PDFBibTeX XMLCite \textit{D. Kim}, Acta Arith. 194, No. 1, 73--97 (2020; Zbl 1448.11077) Full Text: DOI arXiv