Lim, Meng Fai On the growth of even \(K\)-groups of rings of integers in \(p\)-adic Lie extensions. (English) Zbl 07571696 Isr. J. Math. 249, No. 2, 735-767 (2022). MSC: 11Rxx 11Sxx 11Gxx PDF BibTeX XML Cite \textit{M. F. Lim}, Isr. J. Math. 249, No. 2, 735--767 (2022; Zbl 07571696) Full Text: DOI OpenURL
Orr, Martin; Skorobogatov, Alexei N.; Valloni, Domenico; Zarhin, Yuri G. Invariant Brauer group of an abelian variety. (English) Zbl 07571695 Isr. J. Math. 249, No. 2, 695-733 (2022). MSC: 14Kxx 14Gxx 11Rxx PDF BibTeX XML Cite \textit{M. Orr} et al., Isr. J. Math. 249, No. 2, 695--733 (2022; Zbl 07571695) Full Text: DOI OpenURL
Pan, Lue The Fontaine-Mazur conjecture in the residually reducible case. (English) Zbl 07571575 J. Am. Math. Soc. 35, No. 4, 1031-1169 (2022). MSC: 11F80 11F33 11R39 22E50 11F11 PDF BibTeX XML Cite \textit{L. Pan}, J. Am. Math. Soc. 35, No. 4, 1031--1169 (2022; Zbl 07571575) Full Text: DOI OpenURL
Aoki, Misato; Kida, Masanari Constructing unramified extensions over quadratic fields. (English) Zbl 07570414 Involve 15, No. 1, 55-68 (2022). MSC: 12F12 11R09 11R32 PDF BibTeX XML Cite \textit{M. Aoki} and \textit{M. Kida}, Involve 15, No. 1, 55--68 (2022; Zbl 07570414) Full Text: DOI OpenURL
Lei, Antonio; Palvannan, Bharathwaj Codimension two cycles in Iwasawa theory and tensor product of hida families. (English) Zbl 07570323 Math. Ann. 383, No. 1-2, 39-75 (2022). MSC: 11R23 11F33 11R34 11S25 PDF BibTeX XML Cite \textit{A. Lei} and \textit{B. Palvannan}, Math. Ann. 383, No. 1--2, 39--75 (2022; Zbl 07570323) Full Text: DOI OpenURL
Ibarra, Ryan; Lembeck, Henry; Ozaslan, Mohammad; Smith, Hanson; Stange, Katherine E. Monogenic fields arising from trinomials. (English) Zbl 07569929 Involve 15, No. 2, 299-317 (2022). MSC: 11R04 PDF BibTeX XML Cite \textit{R. Ibarra} et al., Involve 15, No. 2, 299--317 (2022; Zbl 07569929) Full Text: DOI OpenURL
Hamieh, Alia; McClenagan, Rory The distribution of values of \(\frac{L^\prime}{L}(1 / 2 + \epsilon, \chi_D)\). (English) Zbl 07569766 J. Number Theory 238, 1044-1062 (2022). MSC: 11R42 11M38 11M41 PDF BibTeX XML Cite \textit{A. Hamieh} and \textit{R. McClenagan}, J. Number Theory 238, 1044--1062 (2022; Zbl 07569766) Full Text: DOI OpenURL
Benjamin, Elliot; Snyder, C. Determination of all imaginary quadratic fields for which their Hilbert 2-class fields have 2-class groups of rank 2. (English) Zbl 07569765 J. Number Theory 238, 1012-1043 (2022). MSC: 11R29 20D15 PDF BibTeX XML Cite \textit{E. Benjamin} and \textit{C. Snyder}, J. Number Theory 238, 1012--1043 (2022; Zbl 07569765) Full Text: DOI OpenURL
Garcia, Stephan Ramon; Lee, Ethan Simpson Explicit estimates for Artin \(L\)-functions: Duke’s short-sum theorem and Dedekind zeta residues. (English) Zbl 07569760 J. Number Theory 238, 920-943 (2022). MSC: 11R42 11M06 11S40 PDF BibTeX XML Cite \textit{S. R. Garcia} and \textit{E. S. Lee}, J. Number Theory 238, 920--943 (2022; Zbl 07569760) Full Text: DOI OpenURL
Ahmad, Faseeh; Benedetto, Robert L.; Cain, Jennifer; Carroll, Gregory; Fang, Lily The arithmetic basilica: a quadratic PCF arboreal Galois group. (English) Zbl 07569757 J. Number Theory 238, 842-868 (2022). MSC: 37P05 11R32 14G25 PDF BibTeX XML Cite \textit{F. Ahmad} et al., J. Number Theory 238, 842--868 (2022; Zbl 07569757) Full Text: DOI OpenURL
Yukie, Akihiko On the density of unnormalized Tamagawa numbers of orthogonal groups III. (English) Zbl 07569747 J. Number Theory 238, 557-610 (2022). MSC: 11S90 11R45 PDF BibTeX XML Cite \textit{A. Yukie}, J. Number Theory 238, 557--610 (2022; Zbl 07569747) Full Text: DOI OpenURL
Hoque, Azizul On a conjecture of Iizuka. (English) Zbl 07569743 J. Number Theory 238, 464-473 (2022). MSC: 11R11 11R29 PDF BibTeX XML Cite \textit{A. Hoque}, J. Number Theory 238, 464--473 (2022; Zbl 07569743) Full Text: DOI OpenURL
Jeon, Daeyeol; Kim, Byoung Du; Kim, Chang Heon Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups. (English) Zbl 07569741 J. Number Theory 238, 396-443 (2022). MSC: 11G40 11R23 PDF BibTeX XML Cite \textit{D. Jeon} et al., J. Number Theory 238, 396--443 (2022; Zbl 07569741) Full Text: DOI OpenURL
Elliott, Jesse Asymptotic expansions of the prime counting function. (English) Zbl 07569740 J. Number Theory 238, 353-395 (2022). MSC: 11N05 11N45 11N80 11R42 30B70 44A15 PDF BibTeX XML Cite \textit{J. Elliott}, J. Number Theory 238, 353--395 (2022; Zbl 07569740) Full Text: DOI OpenURL
Chakraborty, Kalyan; Krishnamoorthy, Krishnarjun On moments of non-normal number fields. (English) Zbl 07569733 J. Number Theory 238, 183-196 (2022). MSC: 11F66 11F30 11R42 20C30 PDF BibTeX XML Cite \textit{K. Chakraborty} and \textit{K. Krishnamoorthy}, J. Number Theory 238, 183--196 (2022; Zbl 07569733) Full Text: DOI OpenURL
Jha, Somnath; Mandal, Tathagata; Shekhar, Sudhanshu Multiplicities in Selmer groups and root numbers of Artin twists. (English) Zbl 07569732 J. Number Theory 238, 147-182 (2022). MSC: 11G05 11R23 11G40 11F33 11G07 PDF BibTeX XML Cite \textit{S. Jha} et al., J. Number Theory 238, 147--182 (2022; Zbl 07569732) Full Text: DOI OpenURL
Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano Kummer theory for number fields via entanglement groups. (English) Zbl 07569720 Manuscr. Math. 169, No. 1-2, 251-270 (2022). MSC: 11Y40 11R18 11R21 PDF BibTeX XML Cite \textit{A. Perucca} et al., Manuscr. Math. 169, No. 1--2, 251--270 (2022; Zbl 07569720) Full Text: DOI OpenURL
Krashen, Daniel; Matzri, Eliyahu; Rapinchuk, Andrei; Rowen, Louis; Saltman, David Division algebras with common subfields. (English) Zbl 07569719 Manuscr. Math. 169, No. 1-2, 209-249 (2022). MSC: 16K50 16K20 11R52 11R58 12J10 PDF BibTeX XML Cite \textit{D. Krashen} et al., Manuscr. Math. 169, No. 1--2, 209--249 (2022; Zbl 07569719) Full Text: DOI OpenURL
McMeekin, Christine Corrigendum to: “On the asymptotics of a prime spin relation”. (English) Zbl 07567851 J. Number Theory 240, 751-753 (2022). MSC: 11R20 11R37 11R44 PDF BibTeX XML Cite \textit{C. McMeekin}, J. Number Theory 240, 751--753 (2022; Zbl 07567851) Full Text: DOI OpenURL
Morton, Patrick; Raianu, Serban Arithmetic properties of 3-cycles of quadratic maps over \(\mathbb{Q}\). (English) Zbl 07567849 J. Number Theory 240, 685-729 (2022). MSC: 11R09 37P05 11C08 PDF BibTeX XML Cite \textit{P. Morton} and \textit{S. Raianu}, J. Number Theory 240, 685--729 (2022; Zbl 07567849) Full Text: DOI OpenURL
Tengely, Szabolcs; Ulas, Maciej Diophantine problems related to cyclic cubic and quartic fields. (English) Zbl 07567848 J. Number Theory 240, 656-684 (2022). MSC: 11R16 11D25 11R27 11R29 PDF BibTeX XML Cite \textit{S. Tengely} and \textit{M. Ulas}, J. Number Theory 240, 656--684 (2022; Zbl 07567848) Full Text: DOI OpenURL
Jakhar, Anuj Explicit integral basis of \(\mathbf{Q}(\sqrt[p_1 p_2]{a})\). (English) Zbl 07567833 J. Number Theory 240, 254-271 (2022). MSC: 11R04 11R29 PDF BibTeX XML Cite \textit{A. Jakhar}, J. Number Theory 240, 254--271 (2022; Zbl 07567833) Full Text: DOI OpenURL
Maurischat, Andreas Algebraic independence of the Carlitz period and its hyperderivatives. (English) Zbl 07567830 J. Number Theory 240, 145-162 (2022). MSC: 11J93 11G09 11R58 PDF BibTeX XML Cite \textit{A. Maurischat}, J. Number Theory 240, 145--162 (2022; Zbl 07567830) Full Text: DOI OpenURL
Banerjee, Pradipto; Bera, Ranjan Classifying families of orthogonal polynomials having Galois group the alternating group. (English) Zbl 07567825 J. Number Theory 240, 31-49 (2022). MSC: 11R32 11C08 33C45 PDF BibTeX XML Cite \textit{P. Banerjee} and \textit{R. Bera}, J. Number Theory 240, 31--49 (2022; Zbl 07567825) Full Text: DOI OpenURL
Büyükboduk, Kâzım; Sakamoto, Ryotaro On the non-critical exceptional zeros of Katz \(p\)-adic \(L\)-functions for CM fields. (English) Zbl 07567786 Adv. Math. 406, Article ID 108478, 54 p. (2022). MSC: 11G16 11R23 11G15 PDF BibTeX XML Cite \textit{K. Büyükboduk} and \textit{R. Sakamoto}, Adv. Math. 406, Article ID 108478, 54 p. (2022; Zbl 07567786) Full Text: DOI OpenURL
Hong, Haojie Stewart’s theorem revisited: suppressing the norm \(\pm 1\) hypothesis. (English) Zbl 07567638 Bol. Soc. Mat. Mex., III. Ser. 28, No. 3, Paper No. 60, 10 p. (2022). MSC: 11R11 PDF BibTeX XML Cite \textit{H. Hong}, Bol. Soc. Mat. Mex., III. Ser. 28, No. 3, Paper No. 60, 10 p. (2022; Zbl 07567638) Full Text: DOI OpenURL
Qin, Hourong Congruent numbers, quadratic forms and \(K_2\). (English) Zbl 07566711 Math. Ann. 383, No. 3-4, 1647-1686 (2022). MSC: 11R70 11E25 11G05 PDF BibTeX XML Cite \textit{H. Qin}, Math. Ann. 383, No. 3--4, 1647--1686 (2022; Zbl 07566711) Full Text: DOI OpenURL
Ishitsuka, Yasuhiro; Ito, Tetsushi The Hasse principle for finite Galois modules allowing exceptional sets of positive density. (English) Zbl 07566170 Int. J. Number Theory 18, No. 9, 1895-1919 (2022). MSC: 11R34 14H25 14H50 PDF BibTeX XML Cite \textit{Y. Ishitsuka} and \textit{T. Ito}, Int. J. Number Theory 18, No. 9, 1895--1919 (2022; Zbl 07566170) Full Text: DOI OpenURL
Li, Yong-Xiong Selmer groups of certain abelian varieties with complex multiplication. (English) Zbl 07565694 Acta Arith. 203, No. 4, 289-305 (2022). MSC: 11R23 11G05 11G10 PDF BibTeX XML Cite \textit{Y.-X. Li}, Acta Arith. 203, No. 4, 289--305 (2022; Zbl 07565694) Full Text: DOI OpenURL
Bhat, M. Younus; Dar, Aamir H. The algebra of \(2D\) Gabor quaternionic offset linear canonical transform and uncertainty principles: the algebra of \(2D\) Gabor quaternionic offset LCT and uncertainty principles. (English) Zbl 07565194 J. Anal. 30, No. 2, 637-649 (2022). MSC: 42B10 43A30 94A12 11R42 PDF BibTeX XML Cite \textit{M. Y. Bhat} and \textit{A. H. Dar}, J. Anal. 30, No. 2, 637--649 (2022; Zbl 07565194) Full Text: DOI OpenURL
Li, Anly On class number one for the real quadratic field \(\mathbb{Q} (\sqrt{a^2+p})\). (English) Zbl 07565113 JP J. Algebra Number Theory Appl. 55, 79-84 (2022). MSC: 11R11 11R29 PDF BibTeX XML Cite \textit{A. Li}, JP J. Algebra Number Theory Appl. 55, 79--84 (2022; Zbl 07565113) Full Text: DOI OpenURL
Gauthier, Claude On tridemi-real number system and algebraic entanglement. (English) Zbl 07565007 JP J. Algebra Number Theory Appl. 56, 71-94 (2022). MSC: 11R21 12F05 08A05 40G05 51M30 81P40 PDF BibTeX XML Cite \textit{C. Gauthier}, JP J. Algebra Number Theory Appl. 56, 71--94 (2022; Zbl 07565007) Full Text: DOI OpenURL
Gallardo, L. H. Ryser’s conjecture under linear constraints. (English) Zbl 07564460 Algebra Discrete Math. 33, No. 1, 30-37 (2022). Reviewer: Roksana Słowik (Gliwice) MSC: 11R18 15B34 11A07 PDF BibTeX XML Cite \textit{L. H. Gallardo}, Algebra Discrete Math. 33, No. 1, 30--37 (2022; Zbl 07564460) Full Text: Link OpenURL
Kleinfeld, Erwin; Segev, Yoav A characterisation of the quaternions using commutators. (English) Zbl 07564189 Math. Proc. R. Ir. Acad. 122A, No. 1, 1-4 (2022). MSC: 12E15 11R52 PDF BibTeX XML Cite \textit{E. Kleinfeld} and \textit{Y. Segev}, Math. Proc. R. Ir. Acad. 122A, No. 1, 1--4 (2022; Zbl 07564189) OpenURL
Gürses, Nurten; İşbilir, Zehra On the combined Jacobsthal-Padovan generalized quaternions. (English) Zbl 07562892 Adv. Stud.: Euro-Tbil. Math. J. 15, No. 2, 55-70 (2022). MSC: 05A15 11B37 11B83 11K31 11R52 PDF BibTeX XML Cite \textit{N. Gürses} and \textit{Z. İşbilir}, Adv. Stud.: Euro-Tbil. Math. J. 15, No. 2, 55--70 (2022; Zbl 07562892) Full Text: DOI OpenURL
Bi, Wenshan; Cheng, Dong; Liu, Wankai; Kou, Kit Ian A robust color edge detection algorithm based on the quaternion Hardy filter. (English) Zbl 07562305 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1238-1260 (2022). MSC: 11R52 32A40 32A36 PDF BibTeX XML Cite \textit{W. Bi} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1238--1260 (2022; Zbl 07562305) Full Text: DOI OpenURL
Dixit, Atul; Gupta, Shivajee; Vatwani, Akshaa A modular relation involving non-trivial zeros of the Dedekind zeta function, and the generalized Riemann hypothesis. (English) Zbl 07562093 J. Math. Anal. Appl. 515, No. 2, Article ID 126435, 16 p. (2022). MSC: 11R42 11M26 11F27 PDF BibTeX XML Cite \textit{A. Dixit} et al., J. Math. Anal. Appl. 515, No. 2, Article ID 126435, 16 p. (2022; Zbl 07562093) Full Text: DOI OpenURL
Le, Nam H.; Tran, Dat T.; Tran, Ha T. N. Well-rounded twists of ideal lattices from imaginary quadratic fields. (English) Zbl 07559643 J. Algebra Appl. 21, No. 7, Article ID 2250133, 21 p. (2022). MSC: 11Y16 11Y40 11R11 11H31 PDF BibTeX XML Cite \textit{N. H. Le} et al., J. Algebra Appl. 21, No. 7, Article ID 2250133, 21 p. (2022; Zbl 07559643) Full Text: DOI OpenURL
El Fadil, Lhoussain On power integral bases of certain pure number fields defined by \(x^{3^r\cdot 7^s}-m\). (English) Zbl 07558464 Colloq. Math. 169, No. 2, 307-317 (2022). MSC: 11R04 11Y40 11R21 PDF BibTeX XML Cite \textit{L. El Fadil}, Colloq. Math. 169, No. 2, 307--317 (2022; Zbl 07558464) Full Text: DOI OpenURL
Jones, Lenny Infinite families of monogenic quadrinomials, quintinomials and sextinomials. (English) Zbl 07558266 Colloq. Math. 169, No. 1, 1-10 (2022). MSC: 11R04 12F05 PDF BibTeX XML Cite \textit{L. Jones}, Colloq. Math. 169, No. 1, 1--10 (2022; Zbl 07558266) Full Text: DOI OpenURL
Duan, Lian; Ma, Ning; Yi, Shaoyun Generalizations of Alladi’s formula for arithmetical semigroups. (English) Zbl 07557865 Ramanujan J. 58, No. 4, 1285-1319 (2022). MSC: 11N80 11R45 20M13 11G25 11M41 11R44 11R58 PDF BibTeX XML Cite \textit{L. Duan} et al., Ramanujan J. 58, No. 4, 1285--1319 (2022; Zbl 07557865) Full Text: DOI OpenURL
Kaur, Sumandeep; Khanduja, Sudesh K. Discriminant and integral basis of sextic fields defined by \(x^6+ax+b\). (English) Zbl 07557697 Commun. Algebra 50, No. 10, 4401-4436 (2022). MSC: 11R04 11R29 PDF BibTeX XML Cite \textit{S. Kaur} and \textit{S. K. Khanduja}, Commun. Algebra 50, No. 10, 4401--4436 (2022; Zbl 07557697) Full Text: DOI OpenURL
Asensouyis, Hassan; Assim, Jilali; Boughadi, Zouhair; Mazigh, Youness Poitou-Tate duality for totally positive Galois cohomology. (English) Zbl 07557696 Commun. Algebra 50, No. 10, 4379-4400 (2022). MSC: 11R34 12G05 PDF BibTeX XML Cite \textit{H. Asensouyis} et al., Commun. Algebra 50, No. 10, 4379--4400 (2022; Zbl 07557696) Full Text: DOI OpenURL
Boukheche, Safia; Merito, Kamil; Ordaz, Oscar; Schmid, Wolfgang A. Monoids of sequences over finite abelian groups defined via zero-sums with respect to a given set of weights and applications to factorizations of norms of algebraic integers. (English) Zbl 07557686 Commun. Algebra 50, No. 10, 4195-4217 (2022). MSC: 11B30 11B75 11R04 20K01 PDF BibTeX XML Cite \textit{S. Boukheche} et al., Commun. Algebra 50, No. 10, 4195--4217 (2022; Zbl 07557686) Full Text: DOI OpenURL
Lim, Meng Fai On order of vanishing of characteristic elements. (English) Zbl 07557612 Forum Math. 34, No. 4, 1051-1080 (2022). MSC: 11G05 11R23 11S25 PDF BibTeX XML Cite \textit{M. F. Lim}, Forum Math. 34, No. 4, 1051--1080 (2022; Zbl 07557612) Full Text: DOI OpenURL
Kundu, Debanjana; Ray, Anwesh Iwasawa invariants for elliptic curves over \(\mathbb{Z}_p\)-extensions and Kida’s formula. (English) Zbl 07557607 Forum Math. 34, No. 4, 945-967 (2022). MSC: 11R23 PDF BibTeX XML Cite \textit{D. Kundu} and \textit{A. Ray}, Forum Math. 34, No. 4, 945--967 (2022; Zbl 07557607) Full Text: DOI OpenURL
Rivera-Mesas, Felipe Bad places for the approximation property for finite groups. (English. French summary) Zbl 07557597 J. Théor. Nombres Bordx. 34, No. 1, 237-249 (2022). MSC: 11S25 11R34 PDF BibTeX XML Cite \textit{F. Rivera-Mesas}, J. Théor. Nombres Bordx. 34, No. 1, 237--249 (2022; Zbl 07557597) Full Text: DOI OpenURL
Fukuda, Takashi Relative class numbers of subfields of the \(p\)-th cyclotomic field. (English. French summary) Zbl 07557593 J. Théor. Nombres Bordx. 34, No. 1, 135-140 (2022). MSC: 11R18 11R23 PDF BibTeX XML Cite \textit{T. Fukuda}, J. Théor. Nombres Bordx. 34, No. 1, 135--140 (2022; Zbl 07557593) Full Text: DOI OpenURL
Cauchi, Antonio; Lei, Antonio On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting. (English) Zbl 07556777 Publ. Mat., Barc. 66, No. 2, 571-630 (2022). MSC: 11F11 11R20 11R23 PDF BibTeX XML Cite \textit{A. Cauchi} and \textit{A. Lei}, Publ. Mat., Barc. 66, No. 2, 571--630 (2022; Zbl 07556777) Full Text: DOI OpenURL
Lee, Jun Ho Existence of the continued fractions of \(\sqrt{d}\) and its applications. (English) Zbl 07556741 Bull. Korean Math. Soc. 59, No. 3, 697-707 (2022). MSC: 11A55 11R11 11R27 PDF BibTeX XML Cite \textit{J. H. Lee}, Bull. Korean Math. Soc. 59, No. 3, 697--707 (2022; Zbl 07556741) Full Text: DOI OpenURL
O’Dorney, Evan M. Quintic rings over Dedekind domains and their sextic resolvents. (English) Zbl 07556288 Res. Number Theory 8, No. 3, Paper No. 46, 16 p. (2022). MSC: 11R29 13F05 13B02 11E76 11R21 PDF BibTeX XML Cite \textit{E. M. O'Dorney}, Res. Number Theory 8, No. 3, Paper No. 46, 16 p. (2022; Zbl 07556288) Full Text: DOI OpenURL
Sury, B. An expression for the Legendre symbol from a product-sum formula. (English) Zbl 07556196 Integers 22, Paper A30, 5 p. (2022). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R18 11L05 PDF BibTeX XML Cite \textit{B. Sury}, Integers 22, Paper A30, 5 p. (2022; Zbl 07556196) Full Text: Link OpenURL
Dilcher, Karl; Ulas, Maciej Divisibility and arithmetic properties of a class of sparse polynomials. (English) Zbl 07556157 Integers 22, Paper A8, 26 p. (2022). MSC: 11B83 11R09 PDF BibTeX XML Cite \textit{K. Dilcher} and \textit{M. Ulas}, Integers 22, Paper A8, 26 p. (2022; Zbl 07556157) Full Text: Link OpenURL
Paudel, Bishnu; Pinner, Chris Integer circulant determinants of order 15. (English) Zbl 07556148 Integers 22, Paper A4, 21 p. (2022). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 15B36 11C20 11T22 11B83 PDF BibTeX XML Cite \textit{B. Paudel} and \textit{C. Pinner}, Integers 22, Paper A4, 21 p. (2022; Zbl 07556148) Full Text: Link OpenURL
Correa-Morris, Jyrko; Gotti, Felix On the additive structure of algebraic valuations of polynomial semirings. (English) Zbl 07556110 J. Pure Appl. Algebra 226, No. 11, Article ID 107104, 20 p. (2022). MSC: 20M13 16Y60 11R04 11R09 PDF BibTeX XML Cite \textit{J. Correa-Morris} and \textit{F. Gotti}, J. Pure Appl. Algebra 226, No. 11, Article ID 107104, 20 p. (2022; Zbl 07556110) Full Text: DOI OpenURL
Smirnov, A. L. Addition operations on the multiplicative monoid of integers. (English. Russian original) Zbl 07556036 J. Math. Sci., New York 264, No. 2, 193-201 (2022); translation from Zap. Nauchn. Semin. POMI 502, 139-151 (2021). MSC: 14Gxx 14Hxx 11Rxx PDF BibTeX XML Cite \textit{A. L. Smirnov}, J. Math. Sci., New York 264, No. 2, 193--201 (2022; Zbl 07556036); translation from Zap. Nauchn. Semin. POMI 502, 139--151 (2021) Full Text: DOI OpenURL
Flammang, Valérie; Voutier, Paul Properties of trinomials of height at least \(2\). (English) Zbl 07555151 Rocky Mt. J. Math. 52, No. 2, 507-518 (2022). MSC: 11C08 11J25 11R06 PDF BibTeX XML Cite \textit{V. Flammang} and \textit{P. Voutier}, Rocky Mt. J. Math. 52, No. 2, 507--518 (2022; Zbl 07555151) Full Text: DOI Link OpenURL
Stevenhagen, Peter Redei reciprocity, governing fields and negative Pell. (English) Zbl 07554751 Math. Proc. Camb. Philos. Soc. 172, No. 3, 627-654 (2022). MSC: 11R11 11R37 11R16 PDF BibTeX XML Cite \textit{P. Stevenhagen}, Math. Proc. Camb. Philos. Soc. 172, No. 3, 627--654 (2022; Zbl 07554751) Full Text: DOI OpenURL
Macedo, André; Newton, Rachel Explicit methods for the Hasse norm principle and applications to \(A_n\) and \(S_n\) extensions. (English) Zbl 07554746 Math. Proc. Camb. Philos. Soc. 172, No. 3, 489-529 (2022). MSC: 14G05 11E72 11R37 20G30 PDF BibTeX XML Cite \textit{A. Macedo} and \textit{R. Newton}, Math. Proc. Camb. Philos. Soc. 172, No. 3, 489--529 (2022; Zbl 07554746) Full Text: DOI OpenURL
Sawin, Will; Shusterman, Mark Möbius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture over function fields. (English) Zbl 07554480 Invent. Math. 229, No. 2, 751-927 (2022). MSC: 11N32 11N36 11L07 11R58 PDF BibTeX XML Cite \textit{W. Sawin} and \textit{M. Shusterman}, Invent. Math. 229, No. 2, 751--927 (2022; Zbl 07554480) Full Text: DOI OpenURL
Anglès, Bruno; Tuan Ngo Dac; Tavares Ribeiro, Floric A class formula for admissible Anderson modules. (English) Zbl 07554476 Invent. Math. 229, No. 2, 563-606 (2022). MSC: 11G09 11M38 11R58 PDF BibTeX XML Cite \textit{B. Anglès} et al., Invent. Math. 229, No. 2, 563--606 (2022; Zbl 07554476) Full Text: DOI OpenURL
Srinivasan, Anitha Infinitely many sign changes of the Liouville function on \(X^2+D\). (English) Zbl 07554390 Proc. Am. Math. Soc. 150, No. 9, 3799-3809 (2022). MSC: 11R29 11E16 11R11 PDF BibTeX XML Cite \textit{A. Srinivasan}, Proc. Am. Math. Soc. 150, No. 9, 3799--3809 (2022; Zbl 07554390) Full Text: DOI OpenURL
Kalaydzhieva, Nikoleta Properties of solutions to Pell’s equation over the polynomial ring. (English) Zbl 07554388 Proc. Am. Math. Soc. 150, No. 9, 3771-3785 (2022). MSC: 11C08 13P05 11R09 PDF BibTeX XML Cite \textit{N. Kalaydzhieva}, Proc. Am. Math. Soc. 150, No. 9, 3771--3785 (2022; Zbl 07554388) Full Text: DOI OpenURL
Bród, Dorota; Szynal-Liana, Anetta; Włoch, Iwona Two-parameter generalization of bihyperbolic Jacobsthal numbers. (English) Zbl 07554042 Proyecciones 41, No. 3, 569-578 (2022). MSC: 11B37 11R52 PDF BibTeX XML Cite \textit{D. Bród} et al., Proyecciones 41, No. 3, 569--578 (2022; Zbl 07554042) Full Text: DOI OpenURL
Seo, Soogil On universal norm elements and a problem of Coleman. (English) Zbl 07551763 Mosc. Math. J. 22, No. 1, 121-132 (2022). MSC: 11R23 11R37 11R18 11R34 11R27 11S25 PDF BibTeX XML Cite \textit{S. Seo}, Mosc. Math. J. 22, No. 1, 121--132 (2022; Zbl 07551763) Full Text: Link OpenURL
Chems-Eddin, Mohamed Mahmoud Unit groups of some multiquadratic number fields and 2-class groups. (English) Zbl 07551296 Period. Math. Hung. 84, No. 2, 235-249 (2022). MSC: 11R04 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{M. M. Chems-Eddin}, Period. Math. Hung. 84, No. 2, 235--249 (2022; Zbl 07551296) Full Text: DOI OpenURL
Ben Yakkou, H. On monogenity of certain number fields defined by \(x^8+ax+b\). (English) Zbl 07551272 Acta Math. Hung. 166, No. 2, 614-623 (2022). MSC: 11R04 11R16 11R21 PDF BibTeX XML Cite \textit{H. Ben Yakkou}, Acta Math. Hung. 166, No. 2, 614--623 (2022; Zbl 07551272) Full Text: DOI OpenURL
Bien, M. H.; Hai, B. X.; Hue, D. T. On the unit groups of rings with involution. (English) Zbl 07551263 Acta Math. Hung. 166, No. 2, 432-452 (2022). MSC: 16W10 11R52 16K20 PDF BibTeX XML Cite \textit{M. H. Bien} et al., Acta Math. Hung. 166, No. 2, 432--452 (2022; Zbl 07551263) Full Text: DOI OpenURL
Chan, Stephanie; Koymans, Peter; Milovic, Djordjo; Pagano, Carlo The 8-rank of the narrow class group and the negative Pell equation. (English) Zbl 07550749 Forum Math. Sigma 10, Paper No. e46, 45 p. (2022). MSC: 11N45 11R29 11R45 11R65 11R11 11R37 PDF BibTeX XML Cite \textit{S. Chan} et al., Forum Math. Sigma 10, Paper No. e46, 45 p. (2022; Zbl 07550749) Full Text: DOI OpenURL
Acar, N.; Aksoyak, Ferdag Kahraman Generalized quaternionic Mannheim curves according to the type 2-quaternionic frame in Euclidean 4-space. (English) Zbl 07549287 Uzb. Mat. Zh. 66, No. 1, 14-27 (2022). MSC: 11R52 53A04 PDF BibTeX XML Cite \textit{N. Acar} and \textit{F. K. Aksoyak}, Uzb. Mat. Zh. 66, No. 1, 14--27 (2022; Zbl 07549287) Full Text: DOI OpenURL
Aouissi, Siham; Azizi, Abdelmalek; Ismaili, Moulay Chrif; Mayer, Daniel C.; Talbi, Mohamed Principal factors and lattice minima in cubic fields. (English) Zbl 07545408 Kyushu J. Math. 76, No. 1, 101-118 (2022). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{S. Aouissi} et al., Kyushu J. Math. 76, No. 1, 101--118 (2022; Zbl 07545408) Full Text: DOI OpenURL
Yelton, Jeffrey Lifting images of standard representations of symmetric groups. (English) Zbl 07545398 Manuscr. Math. 168, No. 3-4, 453-481 (2022). MSC: 20G25 12F10 11R32 PDF BibTeX XML Cite \textit{J. Yelton}, Manuscr. Math. 168, No. 3--4, 453--481 (2022; Zbl 07545398) Full Text: DOI OpenURL
Belolipetsky, Mikhail; Lalín, Matilde; Murillo, Plinio G. P.; Thompson, Lola Counting Salem numbers of arithmetic hyperbolic 3-orbifolds. (English) Zbl 07543744 Bull. Braz. Math. Soc. (N.S.) 53, No. 2, 553-569 (2022). MSC: 11R06 11E41 11F72 20H10 PDF BibTeX XML Cite \textit{M. Belolipetsky} et al., Bull. Braz. Math. Soc. (N.S.) 53, No. 2, 553--569 (2022; Zbl 07543744) Full Text: DOI OpenURL
Wu, Hai-Liang; She, Yue-Feng On a polynomial involving roots of unity and its applications. (English) Zbl 07543097 Int. J. Number Theory 18, No. 8, 1749-1763 (2022). MSC: 11R18 11R11 11R27 PDF BibTeX XML Cite \textit{H.-L. Wu} and \textit{Y.-F. She}, Int. J. Number Theory 18, No. 8, 1749--1763 (2022; Zbl 07543097) Full Text: DOI OpenURL
Girstmair, Kurt Chebyshev polynomials and Galois groups of de Moivre polynomials. (English) Zbl 07543096 Int. J. Number Theory 18, No. 8, 1735-1748 (2022). MSC: 11R20 11R32 11C08 PDF BibTeX XML Cite \textit{K. Girstmair}, Int. J. Number Theory 18, No. 8, 1735--1748 (2022; Zbl 07543096) Full Text: DOI OpenURL
Ben Nasr, Mabrouk; Kthiri, Hassen On algebraic integers which are 2-Salem elements in positive characteristic. (English) Zbl 07543091 Int. J. Number Theory 18, No. 7, 1637-1650 (2022). MSC: 11R04 11R06 11R09 11R52 12D10 PDF BibTeX XML Cite \textit{M. Ben Nasr} and \textit{H. Kthiri}, Int. J. Number Theory 18, No. 7, 1637--1650 (2022; Zbl 07543091) Full Text: DOI OpenURL
Pál, Ambrus; Schlank, Tomer M. Brauer-Manin obstruction to the local-global principle for the embedding problem. (English) Zbl 07543086 Int. J. Number Theory 18, No. 7, 1535-1565 (2022). MSC: 12F12 11R32 PDF BibTeX XML Cite \textit{A. Pál} and \textit{T. M. Schlank}, Int. J. Number Theory 18, No. 7, 1535--1565 (2022; Zbl 07543086) Full Text: DOI OpenURL
Doyon, Anthony; Lei, Antonio Congruences between Ramanujan’s tau function and elliptic curves, and Mazur-Tate elements at additive primes. (English) Zbl 07543023 Ramanujan J. 58, No. 2, 505-522 (2022). MSC: 11R23 11S40 11G05 PDF BibTeX XML Cite \textit{A. Doyon} and \textit{A. Lei}, Ramanujan J. 58, No. 2, 505--522 (2022; Zbl 07543023) Full Text: DOI OpenURL
Kuperberg, Vivian; Rodgers, Brad; Roditty-Gershon, Edva Sums of singular series and primes in short intervals in algebraic number fields. (English) Zbl 07543015 Ramanujan J. 58, No. 2, 291-317 (2022). MSC: 11N05 11R47 PDF BibTeX XML Cite \textit{V. Kuperberg} et al., Ramanujan J. 58, No. 2, 291--317 (2022; Zbl 07543015) Full Text: DOI OpenURL
König, Joachim; Neftin, Danny The local dimension of a finite group over a number field. (English) Zbl 07542900 Trans. Am. Math. Soc. 375, No. 7, 4783-4808 (2022). MSC: 14H30 11R32 14G05 11S20 PDF BibTeX XML Cite \textit{J. König} and \textit{D. Neftin}, Trans. Am. Math. Soc. 375, No. 7, 4783--4808 (2022; Zbl 07542900) Full Text: DOI OpenURL
Dutykh, Denys; Verger-Gaugry, Jean-Louis On a class of lacunary almost Newman polynomials modulo \(p\) and density theorems. (English) Zbl 07542606 Unif. Distrib. Theory 17, No. 1, 29-54 (2022). MSC: 11C08 11R09 11R45 12E05 13P05 PDF BibTeX XML Cite \textit{D. Dutykh} and \textit{J.-L. Verger-Gaugry}, Unif. Distrib. Theory 17, No. 1, 29--54 (2022; Zbl 07542606) Full Text: DOI OpenURL
Hardt, Will; Yin, John Linear relations among Galois conjugates over \(\mathbb{F}_q(t)\). (English) Zbl 07541953 Res. Number Theory 8, No. 2, Paper No. 34, 14 p. (2022). MSC: 11B75 11R04 11R32 11T55 11-XX PDF BibTeX XML Cite \textit{W. Hardt} and \textit{J. Yin}, Res. Number Theory 8, No. 2, Paper No. 34, 14 p. (2022; Zbl 07541953) Full Text: DOI OpenURL
Klüners, Jürgen; Wang, Jiuya \(\ell\)-torsion bounds for the class group of number fields with an \(\ell\)-group as Galois group. (English) Zbl 07541824 Proc. Am. Math. Soc. 150, No. 7, 2793-2805 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R29 11R37 11R45 PDF BibTeX XML Cite \textit{J. Klüners} and \textit{J. Wang}, Proc. Am. Math. Soc. 150, No. 7, 2793--2805 (2022; Zbl 07541824) Full Text: DOI OpenURL
Jones, Lenny On necessary and sufficient conditions for the monogeneity of a certain class of polynomials. (English) Zbl 1487.11097 Math. Slovaca 72, No. 3, 591-600 (2022). MSC: 11R04 11Y40 11R09 12F05 PDF BibTeX XML Cite \textit{L. Jones}, Math. Slovaca 72, No. 3, 591--600 (2022; Zbl 1487.11097) Full Text: DOI OpenURL
Lim, Meng Fai On the cohomology of Kobayashi’s plus/minus norm groups and applications. (English) Zbl 07541502 Math. Proc. Camb. Philos. Soc. 173, No. 1, 1-24 (2022). MSC: 11R23 11G05 11S25 PDF BibTeX XML Cite \textit{M. F. Lim}, Math. Proc. Camb. Philos. Soc. 173, No. 1, 1--24 (2022; Zbl 07541502) Full Text: DOI OpenURL
Crasmareanu, Mircea Quaternionic product of circles and cycles and octonionic product for pairs of circles. (English) Zbl 07541077 Iran. J. Math. Sci. Inform. 17, No. 1, 227-237 (2022). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51N20 51N15 11R52 11R06 PDF BibTeX XML Cite \textit{M. Crasmareanu}, Iran. J. Math. Sci. Inform. 17, No. 1, 227--237 (2022; Zbl 07541077) Full Text: Link OpenURL
Chattopadhyay, Jaitra; Saikia, Anupam Simultaneous indivisibility of class numbers of pairs of real quadratic fields. (English) Zbl 07540790 Ramanujan J. 58, No. 3, 905-911 (2022). MSC: 11R11 11R29 11R23 PDF BibTeX XML Cite \textit{J. Chattopadhyay} and \textit{A. Saikia}, Ramanujan J. 58, No. 3, 905--911 (2022; Zbl 07540790) Full Text: DOI OpenURL
Djanković, Goran; Đokić, Dragan The sixth power moment of Dirichlet \(L\)-functions over rational function fields. (English) Zbl 07540701 J. Math. Anal. Appl. 514, No. 1, Article ID 126296, 42 p. (2022). Reviewer: Sami Omar (Sukhair) MSC: 11R59 11M06 11M50 PDF BibTeX XML Cite \textit{G. Djanković} and \textit{D. Đokić}, J. Math. Anal. Appl. 514, No. 1, Article ID 126296, 42 p. (2022; Zbl 07540701) Full Text: DOI OpenURL
Thomas, Oliver Cohomology of topologised monoids. (English) Zbl 07540307 Math. Z. 301, No. 3, 2793-2840 (2022). MSC: 22Exx 11Rxx 11Fxx PDF BibTeX XML Cite \textit{O. Thomas}, Math. Z. 301, No. 3, 2793--2840 (2022; Zbl 07540307) Full Text: DOI OpenURL
Agnihotri, Rishabh Lambert series associated to Hilbert modular form. (English) Zbl 07538669 Int. J. Number Theory 18, No. 6, 1335-1349 (2022). MSC: 11F41 11R42 11M26 11M26 PDF BibTeX XML Cite \textit{R. Agnihotri}, Int. J. Number Theory 18, No. 6, 1335--1349 (2022; Zbl 07538669) Full Text: DOI OpenURL
Gillibert, Jean; Gillibert, Pierre Galois covers of \(\mathbb P^1\) and number fields with large class groups. (English) Zbl 07538666 Int. J. Number Theory 18, No. 6, 1261-1288 (2022). MSC: 11R29 11R16 PDF BibTeX XML Cite \textit{J. Gillibert} and \textit{P. Gillibert}, Int. J. Number Theory 18, No. 6, 1261--1288 (2022; Zbl 07538666) Full Text: DOI OpenURL
Wu, Hai-Liang; She, Yue-Feng; Wang, Li-Yuan Cyclotomic matrices and hypergeometric functions over finite fields. (English) Zbl 07538421 Finite Fields Appl. 82, Article ID 102054, 15 p. (2022). MSC: 11C20 11L05 11R29 PDF BibTeX XML Cite \textit{H.-L. Wu} et al., Finite Fields Appl. 82, Article ID 102054, 15 p. (2022; Zbl 07538421) Full Text: DOI OpenURL
El Fadil, Lhoussain On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\). (English) Zbl 07538074 J. Number Theory 239, 489-500 (2022). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R16 11R21 PDF BibTeX XML Cite \textit{L. El Fadil}, J. Number Theory 239, 489--500 (2022; Zbl 07538074) Full Text: DOI OpenURL
Flammang, V. The total distance for algebraic integers having all their conjugates in a sector. (English) Zbl 07538072 J. Number Theory 239, 445-461 (2022). MSC: 11R04 11R06 PDF BibTeX XML Cite \textit{V. Flammang}, J. Number Theory 239, 445--461 (2022; Zbl 07538072) Full Text: DOI OpenURL
Kataoka, Takenori Finite submodules of Iwasawa modules for multi-variable extensions. (English) Zbl 07538064 J. Number Theory 239, 228-250 (2022). MSC: 11R23 PDF BibTeX XML Cite \textit{T. Kataoka}, J. Number Theory 239, 228--250 (2022; Zbl 07538064) Full Text: DOI OpenURL
Keating, Kevin; Schwartz, Paul Galois scaffolds and Galois module structure for totally ramified \(C_{p^2}\)-extensions in characteristic 0. (English) Zbl 07538059 J. Number Theory 239, 113-136 (2022). MSC: 11S15 11R33 PDF BibTeX XML Cite \textit{K. Keating} and \textit{P. Schwartz}, J. Number Theory 239, 113--136 (2022; Zbl 07538059) Full Text: DOI OpenURL
Park, Yoon Kyung Ramanujan continued fractions of order sixteen. (English) Zbl 07537784 Int. J. Number Theory 18, No. 5, 1097-1109 (2022). Reviewer: Noburo Ishii (Kyoto) MSC: 11F03 11R04 11G16 PDF BibTeX XML Cite \textit{Y. K. Park}, Int. J. Number Theory 18, No. 5, 1097--1109 (2022; Zbl 07537784) Full Text: DOI OpenURL
Xiao, Guanju; Luo, Lixia; Deng, Yingpu Supersingular \(j\)-invariants and the class number of \(\mathbb{Q}(\sqrt{-p})\). (English) Zbl 07537782 Int. J. Number Theory 18, No. 5, 1065-1078 (2022). MSC: 11G20 11R11 11R29 11Y16 PDF BibTeX XML Cite \textit{G. Xiao} et al., Int. J. Number Theory 18, No. 5, 1065--1078 (2022; Zbl 07537782) Full Text: DOI OpenURL
Zheng, Zhiyong; Chen, Man; Xu, Jie On Gauss sums over Dedekind domains. (English) Zbl 07537781 Int. J. Number Theory 18, No. 5, 1047-1063 (2022). MSC: 11L05 11R04 11T55 PDF BibTeX XML Cite \textit{Z. Zheng} et al., Int. J. Number Theory 18, No. 5, 1047--1063 (2022; Zbl 07537781) Full Text: DOI OpenURL
Cortez, María Isabel; Lukina, Olga Settled elements in profinite groups. (English) Zbl 07537703 Adv. Math. 404, Part B, Article ID 108424, 56 p. (2022). MSC: 37P05 37P15 37E25 20E18 20E08 20E28 22B05 37F10 37B05 11R09 11R32 22A05 20E22 PDF BibTeX XML Cite \textit{M. I. Cortez} and \textit{O. Lukina}, Adv. Math. 404, Part B, Article ID 108424, 56 p. (2022; Zbl 07537703) Full Text: DOI OpenURL