Doliskani, Javad; Narayanan, Anand Kumar; Schost, Éric Drinfeld modules with complex multiplication, Hasse invariants and factoring polynomials over finite fields. (English) Zbl 07312670 J. Symb. Comput. 105, 199-213 (2021). MSC: 68W PDF BibTeX XML Cite \textit{J. Doliskani} et al., J. Symb. Comput. 105, 199--213 (2021; Zbl 07312670) Full Text: DOI
Longo, Matteo; Pati, Maria Rosaria Generalized Heegner cycles on Mumford curves. (English) Zbl 07303583 Math. Z. 297, No. 1-2, 483-515 (2021). MSC: 11G40 11G35 11G15 11G05 PDF BibTeX XML Cite \textit{M. Longo} and \textit{M. R. Pati}, Math. Z. 297, No. 1--2, 483--515 (2021; Zbl 07303583) Full Text: DOI
Mashreghi, Javad; Parisé, Pierre-Olivier; Ransford, Thomas Cesàro summability of Taylor series in weighted Dirichlet spaces. (English) Zbl 07300022 Complex Anal. Oper. Theory 15, No. 1, Paper No. 7, 8 p. (2021). MSC: 30H05 30H99 47B37 46E20 PDF BibTeX XML Cite \textit{J. Mashreghi} et al., Complex Anal. Oper. Theory 15, No. 1, Paper No. 7, 8 p. (2021; Zbl 07300022) Full Text: DOI
Morton, Patrick On the Hasse invariants of the Tate normal forms \(E_5\) and \(E_7\). (English) Zbl 07257228 J. Number Theory 218, 234-271 (2021). MSC: 11G05 11G07 11F03 14H52 11G15 11G20 11R29 11R37 PDF BibTeX XML Cite \textit{P. Morton}, J. Number Theory 218, 234--271 (2021; Zbl 07257228) Full Text: DOI
Hartl, Urs; Singh, Rajneesh Kumar Product formulas for periods of CM abelian varieties and the function field analog. (English) Zbl 07257222 J. Number Theory 218, 62-151 (2021). MSC: 11G09 11G15 11R42 PDF BibTeX XML Cite \textit{U. Hartl} and \textit{R. K. Singh}, J. Number Theory 218, 62--151 (2021; Zbl 07257222) Full Text: DOI
Kashio, Tomokazu A period-ring-valued gamma function and a refinement of the reciprocity law on Stark units. (English) Zbl 07311548 RIMS Kôkyûroku Bessatsu B83, 169-181 (2020). MSC: 11R27 11R42 14F30 14K22 PDF BibTeX XML Cite \textit{T. Kashio}, RIMS Kôkyûroku Bessatsu B83, 169--181 (2020; Zbl 07311548) Full Text: Link
Ito, Kazuhiro On the arithmetic of K3 surfaces with complex multiplication and its applications. (Japanese. English summary) Zbl 07311537 RIMS Kôkyûroku Bessatsu B83, 11-26 (2020). MSC: 14J28 14G10 14G15 14K22 PDF BibTeX XML Cite \textit{K. Ito}, RIMS Kôkyûroku Bessatsu B83, 11--26 (2020; Zbl 07311537) Full Text: Link
Bilu, Yuri; Faye, Bernadette; Zhu, Huilin Separating singular moduli and the primitive element problem. (English) Zbl 07304817 Q. J. Math. 71, No. 4, 1253-1280 (2020). MSC: 11G15 11G30 11J72 PDF BibTeX XML Cite \textit{Y. Bilu} et al., Q. J. Math. 71, No. 4, 1253--1280 (2020; Zbl 07304817) Full Text: DOI
Jakubczyk, B. Exterior multiplication with singularities: a Saito theorem in vector bundles. (English) Zbl 07304806 Ann. Pol. Math. 125, No. 2, 117-138 (2020). MSC: 58A10 53C15 58A05 PDF BibTeX XML Cite \textit{B. Jakubczyk}, Ann. Pol. Math. 125, No. 2, 117--138 (2020; Zbl 07304806) Full Text: DOI
Matsusaka, Toshiki The Fourier coefficients of the McKay-Thompson series and the traces of CM values, an announcement. (English) Zbl 07303996 RIMS Kôkyûroku Bessatsu B77, 259-263 (2020). MSC: 11F30 11F03 PDF BibTeX XML Cite \textit{T. Matsusaka}, RIMS Kôkyûroku Bessatsu B77, 259--263 (2020; Zbl 07303996) Full Text: Link
Shiga, Hironori An explicit Shimura canonical model for the quaternion algebra of discriminant 6. (English) Zbl 07303985 RIMS Kôkyûroku Bessatsu B77, 127-140 (2020). MSC: 11G18 11G15 14G35 14K22 14K25 33C05 PDF BibTeX XML Cite \textit{H. Shiga}, RIMS Kôkyûroku Bessatsu B77, 127--140 (2020; Zbl 07303985) Full Text: Link
Wong, Peng-Jie Cyclicity and exponents of CM elliptic curves modulo \(p\) in short intervals. (English) Zbl 07301839 Trans. Am. Math. Soc. 373, No. 12, 8725-8749 (2020). MSC: 11G05 11N36 11G15 11R45 11R44 PDF BibTeX XML Cite \textit{P.-J. Wong}, Trans. Am. Math. Soc. 373, No. 12, 8725--8749 (2020; Zbl 07301839) Full Text: DOI
González-Jiménez, Enrique Torsion growth over cubic fields of rational elliptic curves with complex multiplication. (English) Zbl 07301124 Publ. Math. 97, No. 1-2, 63-76 (2020). Reviewer: G. K. Sankaran (Bath) MSC: 11G05 11G15 PDF BibTeX XML Cite \textit{E. González-Jiménez}, Publ. Math. 97, No. 1--2, 63--76 (2020; Zbl 07301124) Full Text: DOI
Bourdon, Abbey; Clark, Pete L. Torsion points and isogenies on CM elliptic curves. (English) Zbl 07288969 J. Lond. Math. Soc., II. Ser. 102, No. 2, 580-622 (2020). MSC: 11G05 11G15 PDF BibTeX XML Cite \textit{A. Bourdon} and \textit{P. L. Clark}, J. Lond. Math. Soc., II. Ser. 102, No. 2, 580--622 (2020; Zbl 07288969) Full Text: DOI
Virdol, Cristian On Artin’s conjecture for CM elliptic curves. (English) Zbl 07286667 Kyoto J. Math. 60, No. 4, 1361-1371 (2020). MSC: 11G10 11G15 PDF BibTeX XML Cite \textit{C. Virdol}, Kyoto J. Math. 60, No. 4, 1361--1371 (2020; Zbl 07286667) Full Text: DOI Euclid
Kezuka, Yukako; Li, Yongxiong A classical family of elliptic curves having rank one and the \(2\)-primary part of their Tate-Shafarevich group non-trivial. (English) Zbl 07286580 Doc. Math. 25, 2115-2147 (2020). MSC: 11G05 11R29 PDF BibTeX XML Cite \textit{Y. Kezuka} and \textit{Y. Li}, Doc. Math. 25, 2115--2147 (2020; Zbl 07286580) Full Text: DOI
Fowler, Guy Triples of singular moduli with rational product. (English) Zbl 07285855 Int. J. Number Theory 16, No. 10, 2149-2166 (2020). MSC: 11G15 11G18 14G35 PDF BibTeX XML Cite \textit{G. Fowler}, Int. J. Number Theory 16, No. 10, 2149--2166 (2020; Zbl 07285855) Full Text: DOI
Abkar, Ali Commutant of multiplication operators in weighted Bergman spaces on polydisk. (English) Zbl 07250685 Czech. Math. J. 70, No. 3, 727-741 (2020). MSC: 47B38 46E22 30H20 32A36 PDF BibTeX XML Cite \textit{A. Abkar}, Czech. Math. J. 70, No. 3, 727--741 (2020; Zbl 07250685) Full Text: DOI
Fité, Francesc; Guitart, Xavier Endomorphism algebras of geometrically split abelian surfaces over \(\mathbb{Q} \). (English) Zbl 07248663 Algebra Number Theory 14, No. 6, 1399-1421 (2020). MSC: 11G18 11G15 14K22 PDF BibTeX XML Cite \textit{F. Fité} and \textit{X. Guitart}, Algebra Number Theory 14, No. 6, 1399--1421 (2020; Zbl 07248663) Full Text: DOI
Herrero, Sebastián; Menares, Ricardo; Rivera-Letelier, Juan \(p\)-adic distribution of CM points and Hecke orbits. I: Convergence towards the Gauss point. (English) Zbl 07244794 Algebra Number Theory 14, No. 5, 1239-1290 (2020). MSC: 11G15 11F32 11S82 PDF BibTeX XML Cite \textit{S. Herrero} et al., Algebra Number Theory 14, No. 5, 1239--1290 (2020; Zbl 07244794) Full Text: DOI
Yan, Yi Multiplication operators on Hardy and weighted Bergman spaces over planar regions. (English) Zbl 07238114 Banach J. Math. Anal. 14, No. 4, 1443-1480 (2020). MSC: 47B35 30H05 PDF BibTeX XML Cite \textit{Y. Yan}, Banach J. Math. Anal. 14, No. 4, 1443--1480 (2020; Zbl 07238114) Full Text: DOI
Catanese, Fabrizio; Demleitner, Andreas Rigid group actions on complex tori are projective (after Ekedahl). (English) Zbl 1440.14210 Commun. Contemp. Math. 22, No. 7, Article ID 1950092, 15 p. (2020). MSC: 14K22 16G99 16K20 20C05 32G20 32Q15 PDF BibTeX XML Cite \textit{F. Catanese} and \textit{A. Demleitner}, Commun. Contemp. Math. 22, No. 7, Article ID 1950092, 15 p. (2020; Zbl 1440.14210) Full Text: DOI
Stieberger, S. Periods and superstring amplitudes. (English) Zbl 1444.81034 Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 45-76 (2020). MSC: 81T30 81T15 11M32 81U05 18E10 11G15 PDF BibTeX XML Cite \textit{S. Stieberger}, Springer Proc. Math. Stat. 314, 45--76 (2020; Zbl 1444.81034) Full Text: DOI
Asakura, Masanori; Yabu, Toshifumi Explicit logarithmic formulas of special values of hypergeometric functions \({}_3F_2\). (English) Zbl 1442.14039 Commun. Contemp. Math. 22, No. 5, Article ID 1950040, 22 p. (2020). MSC: 14D07 11G15 33C20 11G55 14K22 19F27 PDF BibTeX XML Cite \textit{M. Asakura} and \textit{T. Yabu}, Commun. Contemp. Math. 22, No. 5, Article ID 1950040, 22 p. (2020; Zbl 1442.14039) Full Text: DOI
Rastegar, Arash Ihara-type results for Siegel modular forms. (English) Zbl 07220165 Bull. Iran. Math. Soc. 46, No. 3, 693-716 (2020). MSC: 11F46 11F85 11G15 11G15 14K10 PDF BibTeX XML Cite \textit{A. Rastegar}, Bull. Iran. Math. Soc. 46, No. 3, 693--716 (2020; Zbl 07220165) Full Text: DOI
Bertrand, Daniel; Edixhoven, Bas Pink’s conjecture on unlikely intersections and families of semi-abelian varieties. (Sur la conjecture de Pink sur les intersections exceptionnelles et les familles de variétés semi-abéliennes.) (English. French summary) Zbl 07206871 J. Éc. Polytech., Math. 7, 711-742 (2020). MSC: 14K05 14G35 11G15 14K30 PDF BibTeX XML Cite \textit{D. Bertrand} and \textit{B. Edixhoven}, J. Éc. Polytech., Math. 7, 711--742 (2020; Zbl 07206871) Full Text: DOI
Kılıçer, Pınar; Lauter, Kristin; Lorenzo García, Elisa; Newton, Rachel; Ozman, Ekin; Streng, Marco A bound on the primes of bad reduction for CM curves of genus \(3\). (English) Zbl 07204745 Proc. Am. Math. Soc. 148, No. 7, 2843-2861 (2020). MSC: 11G10 11G15 14H45 14K22 14J15 14Q05 PDF BibTeX XML Cite \textit{P. Kılıçer} et al., Proc. Am. Math. Soc. 148, No. 7, 2843--2861 (2020; Zbl 07204745) Full Text: DOI
Lin, Yi-Hsuan; Yang, Yifan Quaternionic loci in Siegel’s modular threefold. (English) Zbl 07203139 Math. Z. 295, No. 1-2, 775-819 (2020). MSC: 11G15 11F03 11F46 11G10 PDF BibTeX XML Cite \textit{Y.-H. Lin} and \textit{Y. Yang}, Math. Z. 295, No. 1--2, 775--819 (2020; Zbl 07203139) Full Text: DOI
Martindale, Chloe Hilbert modular polynomials. (English) Zbl 1442.11171 J. Number Theory 213, 464-498 (2020). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11Y16 11G10 11G15 14K02 PDF BibTeX XML Cite \textit{C. Martindale}, J. Number Theory 213, 464--498 (2020; Zbl 1442.11171) Full Text: DOI
Barroero, Fabrizio Corrigendum to “CM relations in fibered powers of elliptic families”. (English) Zbl 1436.11059 J. Inst. Math. Jussieu 19, No. 3, 1029 (2020). MSC: 11G05 11G15 11G50 11U09 PDF BibTeX XML Cite \textit{F. Barroero}, J. Inst. Math. Jussieu 19, No. 3, 1029 (2020; Zbl 1436.11059) Full Text: DOI
Edixhoven, Bas; Richard, Rodolphe A \(\mod p\) variant of the André-Oort conjecture. (English) Zbl 07193611 Rend. Circ. Mat. Palermo (2) 69, No. 1, 151-157 (2020). Reviewer: Nicholas Triantafillou (Athens) MSC: 11G15 14G35 14K22 PDF BibTeX XML Cite \textit{B. Edixhoven} and \textit{R. Richard}, Rend. Circ. Mat. Palermo (2) 69, No. 1, 151--157 (2020; Zbl 07193611) Full Text: DOI
Miao, Yun; Qi, Liqun; Wei, Yimin Generalized tensor function via the tensor singular value decomposition based on the T-product. (English) Zbl 1437.15034 Linear Algebra Appl. 590, 258-303 (2020). MSC: 15A69 15A09 PDF BibTeX XML Cite \textit{Y. Miao} et al., Linear Algebra Appl. 590, 258--303 (2020; Zbl 1437.15034) Full Text: DOI
Jorgenson, Jay; Smajlović, Lejla; Then, Holger On the evaluation of singular invariants for canonical generators of certain genus one arithmetic groups. (English) Zbl 07190135 Exp. Math. 29, No. 1, 1-27 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R37 11R58 11G15 14K22 14H45 PDF BibTeX XML Cite \textit{J. Jorgenson} et al., Exp. Math. 29, No. 1, 1--27 (2020; Zbl 07190135) Full Text: DOI
Kida, Masanari On CM-types of Galois CM-fields without proper CM-subfields. (English. French summary) Zbl 07188952 Ann. Math. Qué. 44, No. 1, 165-171 (2020). MSC: 11G15 14K22 PDF BibTeX XML Cite \textit{M. Kida}, Ann. Math. Qué. 44, No. 1, 165--171 (2020; Zbl 07188952) Full Text: DOI
Kwon, Hyun-Kyoung; Li, Hui; Li, Yucheng The operator \(M_{z_1^n z_2^n}\) on subspaces of Bergman spaces over the biannulus. (English) Zbl 1443.47026 J. Math. Anal. Appl. 487, No. 2, Article ID 124042, 14 p. (2020). Reviewer: Saeed Hashemi Sababe (Tehran) MSC: 47B32 32A36 PDF BibTeX XML Cite \textit{H.-K. Kwon} et al., J. Math. Anal. Appl. 487, No. 2, Article ID 124042, 14 p. (2020; Zbl 1443.47026) Full Text: DOI
Laface, Roberto The field of moduli of singular K3 surfaces. (English) Zbl 07184135 Ann. Mat. Pura Appl. (4) 199, No. 2, 509-531 (2020). MSC: 14J28 14K15 14K22 PDF BibTeX XML Cite \textit{R. Laface}, Ann. Mat. Pura Appl. (4) 199, No. 2, 509--531 (2020; Zbl 07184135) Full Text: DOI
Eum, Ick Sun; Koo, Ja Kyung; Shin, Dong Hwa Binary quadratic forms and ray class groups. (English) Zbl 1447.11114 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 695-720 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R29 11E16 11G15 PDF BibTeX XML Cite \textit{I. S. Eum} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 695--720 (2020; Zbl 1447.11114) Full Text: DOI
Kida, Masanari; Yanai, Hiromichi CM-types with large index of degeneracy. (English) Zbl 1440.14211 Int. J. Number Theory 16, No. 2, 325-340 (2020). Reviewer: Noriko Yui (Kingston) MSC: 14K22 11G15 PDF BibTeX XML Cite \textit{M. Kida} and \textit{H. Yanai}, Int. J. Number Theory 16, No. 2, 325--340 (2020; Zbl 1440.14211) Full Text: DOI
Bourdon, Abbey; Clark, Pete L. Torsion points and Galois representations on CM elliptic curves. (English) Zbl 07180891 Pac. J. Math. 305, No. 1, 43-88 (2020). MSC: 11G05 11G15 PDF BibTeX XML Cite \textit{A. Bourdon} and \textit{P. L. Clark}, Pac. J. Math. 305, No. 1, 43--88 (2020; Zbl 07180891) Full Text: DOI
Yang, Liyang An explicit CM type norm formula and effective nonvanishing of class group \(L\)-functions for CM fields. (English) Zbl 07179051 Pac. J. Math. 304, No. 1, 347-384 (2020). MSC: 11G15 11G35 11M20 11R29 11R42 PDF BibTeX XML Cite \textit{L. Yang}, Pac. J. Math. 304, No. 1, 347--384 (2020; Zbl 07179051) Full Text: DOI
Burungale, Ashay A.; Tian, Ye \(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin. (English) Zbl 1452.11068 Invent. Math. 220, No. 1, 211-253 (2020). Reviewer: Matteo Longo (Padova) MSC: 11G05 11G15 11G18 11G40 PDF BibTeX XML Cite \textit{A. A. Burungale} and \textit{Y. Tian}, Invent. Math. 220, No. 1, 211--253 (2020; Zbl 1452.11068) Full Text: DOI
Li, Songsong; Ouyang, Yi; Xu, Zheng Endomorphism rings of supersingular elliptic curves over \(\mathbb{F}_p\). (English) Zbl 1451.11054 Finite Fields Appl. 62, Article ID 101619, 24 p. (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G20 11G15 14G15 14H52 94A60 PDF BibTeX XML Cite \textit{S. Li} et al., Finite Fields Appl. 62, Article ID 101619, 24 p. (2020; Zbl 1451.11054) Full Text: DOI
Li, Songsong; Ouyang, Yi; Xu, Zheng Neighborhood of the supersingular elliptic curve isogeny graph at \(j = 0\) and 1728. (English) Zbl 1439.11148 Finite Fields Appl. 61, Article ID 101600, 16 p. (2020). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11G20 11G15 14G15 14H52 94A60 PDF BibTeX XML Cite \textit{S. Li} et al., Finite Fields Appl. 61, Article ID 101600, 16 p. (2020; Zbl 1439.11148) Full Text: DOI
Saxena, Deepali Multiplication and composition operators on the generalized space of entire functions. (English) Zbl 1433.30083 Palest. J. Math. 9, No. 1, 464-469 (2020). MSC: 30D20 47B33 PDF BibTeX XML Cite \textit{D. Saxena}, Palest. J. Math. 9, No. 1, 464--469 (2020; Zbl 1433.30083) Full Text: Link
Eum, Ick Sun; Jung, Ho Yun; Koo, Ja Kyung; Shin, Dong Hwa Composition law and complex multiplication. (English) Zbl 07153000 J. Number Theory 209, 396-420 (2020). MSC: 11E16 11F03 11G15 11R37 PDF BibTeX XML Cite \textit{I. S. Eum} et al., J. Number Theory 209, 396--420 (2020; Zbl 07153000) Full Text: DOI
Hartl, Urs; Singh, Rajneesh Kumar Periods of Drinfeld modules and local shtukas with complex multiplication. (English) Zbl 07146739 J. Inst. Math. Jussieu 19, No. 1, 175-208 (2020). MSC: 11G09 11R42 11R58 14L05 PDF BibTeX XML Cite \textit{U. Hartl} and \textit{R. K. Singh}, J. Inst. Math. Jussieu 19, No. 1, 175--208 (2020; Zbl 07146739) Full Text: DOI arXiv
Ionica, Sorina; Thomé, Emmanuel Isogeny graphs with maximal real multiplication. (English) Zbl 07118791 J. Number Theory 207, 385-422 (2020). Reviewer: WonTae Hwang (Seoul) MSC: 11G10 14K02 11G15 PDF BibTeX XML Cite \textit{S. Ionica} and \textit{E. Thomé}, J. Number Theory 207, 385--422 (2020; Zbl 07118791) Full Text: DOI
Antony, S. N. F. M. A.; Kamarulhaili, H. Construction of endomorphisms for the ISD method on elliptic curves with j-invariant 1728. (English) Zbl 1451.14084 Malays. J. Math. Sci. 13, Spec. Iss.: The 6th International Cryptology and Information Security Conference (CRYPTOLOGY2018), 67-76 (2019). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14G50 11G20 94A60 11G15 11T71 14H37 PDF BibTeX XML Cite \textit{S. N. F. M. A. Antony} and \textit{H. Kamarulhaili}, Malays. J. Math. Sci. 13, 67--76 (2019; Zbl 1451.14084) Full Text: Link
Vogt, Isabel Abelian varieties isogenous to a power of an elliptic curve over a Galois extension. (English. French summary) Zbl 07246520 J. Théor. Nombres Bordx. 31, No. 1, 205-213 (2019). MSC: 14K02 11G10 PDF BibTeX XML Cite \textit{I. Vogt}, J. Théor. Nombres Bordx. 31, No. 1, 205--213 (2019; Zbl 07246520) Full Text: DOI
Li, Wanlin; Mantovan, Elena; Pries, Rachel; Tang, Yunqing Newton polygons of cyclic covers of the projective line branched at three points. (English) Zbl 1436.11069 Balakrishnan, Jennifer S. (ed.) et al., Research directions in number theory. Women in numbers IV. Proceedings of the women in numbers, WIN4 workshop. Banff International Research Station, Banff, Alberta, Canada, August 14–18, 2017. Cham: Springer. Assoc. Women Math. Ser. 19, 115-132 (2019). MSC: 11G20 14H10 14H40 14G15 14K10 14G10 11M38 14K22 11G10 14H30 PDF BibTeX XML Cite \textit{W. Li} et al., Assoc. Women Math. Ser. 19, 115--132 (2019; Zbl 1436.11069) Full Text: DOI
Eum, Ick Sun; Jung, Ho Yun On some automorphic properties of Galois traces of class invariants from generalized Weber functions of level 5. (English) Zbl 1444.11083 Open Math. 17, 1631-1651 (2019). MSC: 11F37 11F30 11G15 11R27 11R37 PDF BibTeX XML Cite \textit{I. S. Eum} and \textit{H. Y. Jung}, Open Math. 17, 1631--1651 (2019; Zbl 1444.11083) Full Text: DOI
Asakura, Masanori; Otsubo, Noriyuki; Terasoma, Tomohide An algebro-geometric study of special values of hypergeometric functions \(_3F_2\). (English) Zbl 1436.33006 Nagoya Math. J. 236, 47-62 (2019). MSC: 33C20 14D07 19F27 11G15 14K22 PDF BibTeX XML Cite \textit{M. Asakura} et al., Nagoya Math. J. 236, 47--62 (2019; Zbl 1436.33006) Full Text: DOI
Asakura, Masanori; Otsubo, Noriyuki A functional logarithmic formula for the hypergeometric function \(_3F_2\). (English) Zbl 1440.33003 Nagoya Math. J. 236, 29-46 (2019). MSC: 33C20 11G15 14D07 14K22 19F27 PDF BibTeX XML Cite \textit{M. Asakura} and \textit{N. Otsubo}, Nagoya Math. J. 236, 29--46 (2019; Zbl 1440.33003) Full Text: DOI
Kılıçer, Pınar; García, Elisa Lorenzo; Streng, Marco Primes dividing invariants of CM Picard curves. (English) Zbl 07184219 Can. J. Math. 72, No. 2, 480-504 (2020). MSC: 14H45 14K22 11H06 14G50 14H40 14Q05 PDF BibTeX XML Cite \textit{P. Kılıçer} et al., Can. J. Math. 72, No. 2, 480--504 (2019; Zbl 07184219) Full Text: DOI
Hulek, Klaus; Laface, Roberto On the Picard numbers of abelian varieties. (English) Zbl 1429.14026 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 19, No. 3, 1199-1224 (2019). Reviewer: Remke Kloosterman (Padova) MSC: 14K05 14C22 14K22 PDF BibTeX XML Cite \textit{K. Hulek} and \textit{R. Laface}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 19, No. 3, 1199--1224 (2019; Zbl 1429.14026) Full Text: DOI arXiv
Morton, Patrick Periodic points of algebraic functions and Deuring’s class number formula. (English) Zbl 07140967 Ramanujan J. 50, No. 2, 323-354 (2019). MSC: 11D41 11G07 11G15 14H05 PDF BibTeX XML Cite \textit{P. Morton}, Ramanujan J. 50, No. 2, 323--354 (2019; Zbl 07140967) Full Text: DOI
Bornträger, Carsten; Nickel, Matthias Algebraic volumes of divisors. (English) Zbl 1432.14007 Eur. J. Math. 5, No. 4, 1192-1201 (2019). Reviewer: Anne-Sophie Kaloghiros (London) MSC: 14C20 11R04 14K22 11J99 PDF BibTeX XML Cite \textit{C. Bornträger} and \textit{M. Nickel}, Eur. J. Math. 5, No. 4, 1192--1201 (2019; Zbl 1432.14007) Full Text: DOI
Cho, Ilwoo Asymptotic semicircular law induced by \(p\)-adic number fields \(\mathbb{Q}_p\) over primes. (English) Zbl 1428.11102 Complex Anal. Oper. Theory 13, No. 7, 3169-3206 (2019). MSC: 11F85 11G15 11R47 11R56 46L10 46L54 47L30 47L55 PDF BibTeX XML Cite \textit{I. Cho}, Complex Anal. Oper. Theory 13, No. 7, 3169--3206 (2019; Zbl 1428.11102) Full Text: DOI
Morton, Patrick Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. II: The Rogers-Ramanujan continued fraction. (English) Zbl 1441.11064 New York J. Math. 25, 1178-1213 (2019). MSC: 11D41 11G07 11G15 14H05 PDF BibTeX XML Cite \textit{P. Morton}, New York J. Math. 25, 1178--1213 (2019; Zbl 1441.11064) Full Text: Link arXiv
Yuan, Xinyi On Faltings heights of abelian varieties with complex multiplication. (English) Zbl 07128794 Ji, Lizhen (ed.) et al., Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-369-2/pbk; 978-1-57146-371-5/set). Advanced Lectures in Mathematics (ALM) 43, 521-536 (2019). MSC: 11G15 11G18 14G10 14G40 PDF BibTeX XML Cite \textit{X. Yuan}, in: Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press. 521--536 (2019; Zbl 07128794)
Kida, Masanari Counting formulas for CM-types. (English) Zbl 1447.11067 Mosc. J. Comb. Number Theory 8, No. 4, 343-356 (2019). MSC: 11G15 14K22 PDF BibTeX XML Cite \textit{M. Kida}, Mosc. J. Comb. Number Theory 8, No. 4, 343--356 (2019; Zbl 1447.11067) Full Text: DOI
Koo, Ja Kyung; Shin, Dong Hwa; Yoon, Dong Sung On a problem of Hasse and Ramachandra. (English) Zbl 07119646 Open Math. 17, 131-140 (2019). MSC: 11R37 11G15 11G16 PDF BibTeX XML Cite \textit{J. K. Koo} et al., Open Math. 17, 131--140 (2019; Zbl 07119646) Full Text: DOI arXiv
Jury, Michael T.; Martin, Robert T. W. Operators affiliated to the Free shift on the Free Hardy Space. (English) Zbl 1432.32004 J. Funct. Anal. 277, No. 12, Article ID 108285, 39 p. (2019). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 32A35 PDF BibTeX XML Cite \textit{M. T. Jury} and \textit{R. T. W. Martin}, J. Funct. Anal. 277, No. 12, Article ID 108285, 39 p. (2019; Zbl 1432.32004) Full Text: DOI arXiv
Hoffman, Jerome William; Liang, Dun; Liang, Zhibin; Okazaki, Ryotaro; Sakai, Yukiko; Wang, Haohao Genus 3 curves whose Jacobians have endomorphisms by \(\mathbb{Q}(\zeta_7 + \bar{\zeta}_7)\). II. (English) Zbl 1423.14186 Tokyo J. Math. 42, No. 1, 185-218 (2019). Reviewer: Fumio Hazama (Hatoyama) MSC: 14H10 11G05 14H40 11G15 14H45 14Q05 PDF BibTeX XML Cite \textit{J. W. Hoffman} et al., Tokyo J. Math. 42, No. 1, 185--218 (2019; Zbl 1423.14186) Full Text: Euclid
Guo, Kunyu; Huang, Hansong Commutants, reducing subspaces and von Neumann algebras associated with multiplication operators. (English) Zbl 1429.30048 Zhu, Kehe (ed.), Handbook of analytic operator theory. Boca Raton, FL: CRC Press. CRC Press/Chapman Hall Handb. Math. Ser., 65-85 (2019). MSC: 30H10 30H20 32A36 PDF BibTeX XML Cite \textit{K. Guo} and \textit{H. Huang}, in: Handbook of analytic operator theory. Boca Raton, FL: CRC Press. 65--85 (2019; Zbl 1429.30048)
Rindler, H. Book review of: P. Tretkoff, Periods and special functions in transcendence. (English) Zbl 1425.00052 Monatsh. Math. 190, No. 2, 407 (2019). MSC: 00A17 11-02 11J89 11J91 11G15 14J32 14K22 PDF BibTeX XML Cite \textit{H. Rindler}, Monatsh. Math. 190, No. 2, 407 (2019; Zbl 1425.00052) Full Text: DOI
Bertrand, Daniel; Schmidt, Harry Unlikely intersections in semiabelian surfaces. (English) Zbl 1423.14254 Algebra Number Theory 13, No. 6, 1455-1473 (2019). Reviewer: WonTae Hwang (Seoul) MSC: 14K15 11G18 11G15 11G50 11U09 PDF BibTeX XML Cite \textit{D. Bertrand} and \textit{H. Schmidt}, Algebra Number Theory 13, No. 6, 1455--1473 (2019; Zbl 1423.14254) Full Text: DOI
Barroero, Fabrizio CM relations in fibered powers of elliptic families. (English) Zbl 07101848 J. Inst. Math. Jussieu 18, No. 5, 941-956 (2019); corrigendum ibid 19, No. 3, 1029 (2020). Reviewer: Riccardo Pengo (Lyon) MSC: 11G05 11G15 11G50 11U09 PDF BibTeX XML Cite \textit{F. Barroero}, J. Inst. Math. Jussieu 18, No. 5, 941--956 (2019; Zbl 07101848) Full Text: DOI arXiv
Lenstra, Hendrik W. Jr.; Silverberg, Alice Testing isomorphism of lattices over CM-orders. (English) Zbl 07100381 SIAM J. Comput. 48, No. 4, 1300-1334 (2019). MSC: 11Y16 68W30 PDF BibTeX XML Cite \textit{H. W. Jr. Lenstra} and \textit{A. Silverberg}, SIAM J. Comput. 48, No. 4, 1300--1334 (2019; Zbl 07100381) Full Text: DOI
Li, Wanlin; Mantovan, Elena; Pries, Rachel; Tang, Yunqing Newton polygons arising from special families of cyclic covers of the projective line. (English) Zbl 07086426 Res. Number Theory 5, No. 1, Paper No. 12, 31 p. (2019). MSC: 11G18 11G20 11M38 14G10 14G35 11G10 14H10 14H30 14H40 14K22 PDF BibTeX XML Cite \textit{W. Li} et al., Res. Number Theory 5, No. 1, Paper No. 12, 31 p. (2019; Zbl 07086426) Full Text: DOI
Ionica, Sorina; Kılıçer, Pınar; Lauter, Kristin; Lorenzo García, Elisa; Mânzăţeanu, Adelina; Massierer, Maike; Vincent, Christelle Modular invariants for genus 3 hyperelliptic curves. (English) Zbl 1420.14063 Res. Number Theory 5, No. 1, Paper No. 9, 22 p. (2019). Reviewer: Shaul Zemel (Jerusalem) MSC: 14H42 11F46 11G15 11E76 32G20 14K25 PDF BibTeX XML Cite \textit{S. Ionica} et al., Res. Number Theory 5, No. 1, Paper No. 9, 22 p. (2019; Zbl 1420.14063) Full Text: DOI
Jorgenson, Jay; Smajlović, Lejla; Then, Holger The Hauptmodul at elliptic points of certain arithmetic groups. (English) Zbl 07086046 J. Number Theory 204, 661-682 (2019). Reviewer: Noriko Yui (Kingston) MSC: 11G15 11F11 11F22 PDF BibTeX XML Cite \textit{J. Jorgenson} et al., J. Number Theory 204, 661--682 (2019; Zbl 07086046) Full Text: DOI
Jung, Ho Yun; Kim, Chang Heon; Kwon, Soonhak; Kwon, Yeong-Wook Modularity of Galois traces of Weber’s resolvents. (English) Zbl 1446.11081 J. Number Theory 203, 249-275 (2019). MSC: 11F37 11F30 11G15 11R27 11R37 PDF BibTeX XML Cite \textit{H. Y. Jung} et al., J. Number Theory 203, 249--275 (2019; Zbl 1446.11081) Full Text: DOI
Yu, Peng CM values of Green functions associated to special cycles on Shimura varieties with applications to Siegel 3-fold \(X_{2}(2)\). (English) Zbl 1448.11112 J. Number Theory 203, 155-210 (2019). MSC: 11G15 11G18 PDF BibTeX XML Cite \textit{P. Yu}, J. Number Theory 203, 155--210 (2019; Zbl 1448.11112) Full Text: DOI
Du, Tuoping; Yang, Tonghai Twisted arithmetic Siegel Weil formula on \(X_{0}(N)\). (English) Zbl 07081788 J. Number Theory 203, 95-117 (2019). MSC: 11G15 11F41 14K22 PDF BibTeX XML Cite \textit{T. Du} and \textit{T. Yang}, J. Number Theory 203, 95--117 (2019; Zbl 07081788) Full Text: DOI arXiv
Choi, Junhwa; Kezuka, Yukako; Li, Yongxiong Analogues of Iwasawa’s \(\mu = 0\) conjecture and the weak Leopoldt conjecture for a non-cyclotomic \(\mathbb{Z}_2\)-extension. (English) Zbl 1445.11124 Asian J. Math. 23, No. 3, 383-400 (2019). Reviewer: Wei Feng (Beijing) MSC: 11R23 11G05 11G15 PDF BibTeX XML Cite \textit{J. Choi} et al., Asian J. Math. 23, No. 3, 383--400 (2019; Zbl 1445.11124) Full Text: DOI arXiv
Yang, Yifan Special values of hypergeometric functions and periods of CM elliptic curves. (English) Zbl 1443.11115 Wood, David R. (ed.) et al., 2017 MATRIX annals. Cham: Springer. MATRIX Book Ser. 2, 487-489 (2019). MSC: 11G18 11G15 11G05 11F12 PDF BibTeX XML Cite \textit{Y. Yang}, MATRIX Book Ser. 2, 487--489 (2019; Zbl 1443.11115) Full Text: DOI
Freitag, Eberhard; Manni, Riccardo Salvati On the variety associated to the ring of theta constants in genus 3. (English) Zbl 1439.14088 Am. J. Math. 141, No. 3, 705-732 (2019). MSC: 14G35 11F46 11G15 14K10 14K25 PDF BibTeX XML Cite \textit{E. Freitag} and \textit{R. S. Manni}, Am. J. Math. 141, No. 3, 705--732 (2019; Zbl 1439.14088) Full Text: DOI arXiv
Ouyang, Yi; Xu, Zheng Loops of isogeny graphs of supersingular elliptic curves at \(j=0\). (English) Zbl 1450.11060 Finite Fields Appl. 58, 174-176 (2019). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G20 11G15 14G15 14H52 94A60 PDF BibTeX XML Cite \textit{Y. Ouyang} and \textit{Z. Xu}, Finite Fields Appl. 58, 174--176 (2019; Zbl 1450.11060) Full Text: DOI
Ito, Kazuhiro Unconditional construction of \(K3\) surfaces over finite fields with given \(L\)-function in large characteristic. (English) Zbl 1423.14231 Manuscr. Math. 159, No. 3-4, 281-300 (2019). Reviewer: Remke Kloosterman (Padova) MSC: 14J28 11G25 14G10 14G15 14K22 PDF BibTeX XML Cite \textit{K. Ito}, Manuscr. Math. 159, No. 3--4, 281--300 (2019; Zbl 1423.14231) Full Text: DOI arXiv
Balakrishnan, Jennifer S.; Dogra, Netan An effective Chabauty-Kim theorem. (English) Zbl 1428.14034 Compos. Math. 155, No. 6, 1057-1075 (2019). Reviewer: David McKinnon (Waterloo) MSC: 14G05 11D45 11F67 11G15 PDF BibTeX XML Cite \textit{J. S. Balakrishnan} and \textit{N. Dogra}, Compos. Math. 155, No. 6, 1057--1075 (2019; Zbl 1428.14034) Full Text: DOI arXiv
Jung, Ho Yun; Koo, Ja Kyung; Shin, Dong Hwa Primitive and totally primitive Fricke families with applications. II. (English) Zbl 1446.11199 J. Math. Anal. Appl. 472, No. 1, 432-446 (2019). MSC: 11R37 11G16 11G15 11F03 PDF BibTeX XML Cite \textit{H. Y. Jung} et al., J. Math. Anal. Appl. 472, No. 1, 432--446 (2019; Zbl 1446.11199) Full Text: DOI
Shiga, Hironori The Shimura canonical model for the quaternion algebra of discriminant 6 on the Ihara-Kurihara conic. (English) Zbl 1444.11129 J. Number Theory 201, 257-279 (2019). MSC: 11G15 11G18 14G35 33C05 PDF BibTeX XML Cite \textit{H. Shiga}, J. Number Theory 201, 257--279 (2019; Zbl 1444.11129) Full Text: DOI
Babinkostova, L.; Bahr, J. C.; Kim, Y. H.; Neyman, E.; Taylor, G. K. Anomalous primes and the elliptic Korselt criterion. (English) Zbl 1439.14109 J. Number Theory 201, 108-123 (2019). Reviewer: Imin Chen (Burnaby) MSC: 14H52 14K22 11G05 11G20 PDF BibTeX XML Cite \textit{L. Babinkostova} et al., J. Number Theory 201, 108--123 (2019; Zbl 1439.14109) Full Text: DOI
Kucukoğlu, Irem; Simsek, Yilmaz; Srivastava, H. M. A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials. (English) Zbl 1446.11038 Quaest. Math. 42, No. 4, 465-478 (2019). MSC: 11B68 11S40 11S80 33E20 26C05 30B40 44A20 PDF BibTeX XML Cite \textit{I. Kucukoğlu} et al., Quaest. Math. 42, No. 4, 465--478 (2019; Zbl 1446.11038) Full Text: DOI
Jetchev, Dimitar; Wesolowski, Benjamin Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem. (English) Zbl 1441.11160 Acta Arith. 187, No. 4, 381-404 (2019). MSC: 11G15 11G25 11T24 14G50 14H40 14K02 14K22 PDF BibTeX XML Cite \textit{D. Jetchev} and \textit{B. Wesolowski}, Acta Arith. 187, No. 4, 381--404 (2019; Zbl 1441.11160) Full Text: DOI arXiv
Lemos, Pedro Some cases of Serre’s uniformity problem. (English) Zbl 1448.11107 Math. Z. 292, No. 1-2, 739-762 (2019). MSC: 11G05 PDF BibTeX XML Cite \textit{P. Lemos}, Math. Z. 292, No. 1--2, 739--762 (2019; Zbl 1448.11107) Full Text: DOI arXiv
Laface, Roberto Decompositions of singular abelian surfaces. (English) Zbl 07051098 Asian J. Math. 23, No. 1, 157-172 (2019). MSC: 14K12 14K22 PDF BibTeX XML Cite \textit{R. Laface}, Asian J. Math. 23, No. 1, 157--172 (2019; Zbl 07051098) Full Text: DOI arXiv
Riffaut, Antonin Equations with powers of singular moduli. (English) Zbl 1443.11108 Int. J. Number Theory 15, No. 3, 445-468 (2019). MSC: 11G15 11G18 14G35 14G05 PDF BibTeX XML Cite \textit{A. Riffaut}, Int. J. Number Theory 15, No. 3, 445--468 (2019; Zbl 1443.11108) Full Text: DOI arXiv
Binegar, Skye; Dominick, Randy; Kenney, Meagan; Rouse, Jeremy; Walsh, Alex An elliptic curve analogue to the Fermat numbers. (English) Zbl 1442.11091 Involve 12, No. 3, 427-449 (2019). MSC: 11G05 11B37 11G15 11Y11 PDF BibTeX XML Cite \textit{S. Binegar} et al., Involve 12, No. 3, 427--449 (2019; Zbl 1442.11091) Full Text: DOI
Lu, Xin; Zuo, Kang The Oort conjecture on Shimura curves in the Torelli locus of curves. (English. French summary) Zbl 07026465 J. Math. Pures Appl. (9) 123, 41-77 (2019). MSC: 11G15 14G35 14H40 14D07 14K22 PDF BibTeX XML Cite \textit{X. Lu} and \textit{K. Zuo}, J. Math. Pures Appl. (9) 123, 41--77 (2019; Zbl 07026465) Full Text: DOI arXiv
Du, Tuoping; Yang, Tonghai Arithmetic Siegel-Weil formula on \(X_{0}(N)\). (English) Zbl 1415.11085 Adv. Math. 345, 702-755 (2019). Reviewer: Shinan Liu (München) MSC: 11G15 11F41 14K22 PDF BibTeX XML Cite \textit{T. Du} and \textit{T. Yang}, Adv. Math. 345, 702--755 (2019; Zbl 1415.11085) Full Text: DOI
Adj, Gora; Ahmadi, Omran; Menezes, Alfred On isogeny graphs of supersingular elliptic curves over finite fields. (English) Zbl 1436.11067 Finite Fields Appl. 55, 268-283 (2019). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G20 11G15 14G15 14H52 94A60 PDF BibTeX XML Cite \textit{G. Adj} et al., Finite Fields Appl. 55, 268--283 (2019; Zbl 1436.11067) Full Text: DOI
Virdol, Cristian Cyclic components of quotients of abelian varieties mod \(p\). (English) Zbl 1444.11128 J. Number Theory 197, 135-144 (2019). MSC: 11G10 11G15 PDF BibTeX XML Cite \textit{C. Virdol}, J. Number Theory 197, 135--144 (2019; Zbl 1444.11128) Full Text: DOI
Koo, Ja Kyung; Shin, Dong Hwa; Yoon, Dong Sung Form class groups for extended ring class fields. (English) Zbl 1442.11065 J. Number Theory 197, 13-36 (2019). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11E16 11F03 11G15 11R37 PDF BibTeX XML Cite \textit{J. K. Koo} et al., J. Number Theory 197, 13--36 (2019; Zbl 1442.11065) Full Text: DOI
Hayashida, Daiki The characteristic polynomials of abelian varieties of higher dimension over finite fields. (English) Zbl 06987932 J. Number Theory 196, 205-222 (2019). MSC: 11G25 14K22 PDF BibTeX XML Cite \textit{D. Hayashida}, J. Number Theory 196, 205--222 (2019; Zbl 06987932) Full Text: DOI
Ye, Dongxi Gross-Zagier type CM value formulas on \(X_0^\ast(p)\). (English) Zbl 06987923 J. Number Theory 196, 14-34 (2019). MSC: 11F03 11F11 11F27 11G15 11G18 PDF BibTeX XML Cite \textit{D. Ye}, J. Number Theory 196, 14--34 (2019; Zbl 06987923) Full Text: DOI
Herrig, Thorsten Fixed points and entropy of endomorphisms on simple abelian varieties. (English) Zbl 1407.14040 J. Algebra 517, 95-111 (2019). Reviewer: Jin-Xing Cai (Beijing) MSC: 14J50 37P10 14K22 37B40 14K05 14A10 37A35 PDF BibTeX XML Cite \textit{T. Herrig}, J. Algebra 517, 95--111 (2019; Zbl 1407.14040) Full Text: DOI arXiv
Moller, Martin Geometry of Teichmüller curves. (English) Zbl 1447.32021 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2017-2034 (2018). MSC: 32G15 37C83 32G20 57M50 PDF BibTeX XML Cite \textit{M. Moller}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2017--2034 (2018; Zbl 1447.32021) Full Text: DOI
Lan, Kai-Wen; Stroh, Benoît Nearby cycles of automorphic étale sheaves. II. (English) Zbl 1441.11163 Cogdell, James W. (ed.) et al., Cohomology of arithmetic groups. On the occasion of Joachim Schwermer’s 66th birthday, Bonn, Germany, June 2016. Cham: Springer. Springer Proc. Math. Stat. 245, 83-106 (2018). MSC: 11G18 11G15 11F75 PDF BibTeX XML Cite \textit{K.-W. Lan} and \textit{B. Stroh}, Springer Proc. Math. Stat. 245, 83--106 (2018; Zbl 1441.11163) Full Text: DOI