Hindry, Marc; Pacheco, Amílcar Erratum to: “An analogue of the Brauer-Siegel theorem for abelian varieties in positive characteristic”. (English) Zbl 07551765 Mosc. Math. J. 22, No. 1, 169 (2022). MSC: 11G05 14K15 14G10 14G25 11G40 11G50 PDF BibTeX XML Cite \textit{M. Hindry} and \textit{A. Pacheco}, Mosc. Math. J. 22, No. 1, 169 (2022; Zbl 07551765) Full Text: Link OpenURL
Viu-Sos, Juan An introduction to \(p\)-adic and motivic integration, zeta functions and invariants of singularities. (English) Zbl 07548735 Galindo, Carlos (ed.) et al., \(p\)-adic analysis, arithmetic and singularities. UIMP-RSME, Lluís A. Santaló summer school, Universidad Internacional Menéndez Pelayo, Santander, Spain, June 24–28, 2019. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 778, 103-176 (2022). MSC: 14B05 14E18 14G10 11S80 32S25 32S45 PDF BibTeX XML Cite \textit{J. Viu-Sos}, Contemp. Math. 778, 103--176 (2022; Zbl 07548735) Full Text: DOI OpenURL
Potemans, Naud; Veys, Willem Introduction to \(p\)-adic igusa zeta functions. (English) Zbl 07548734 Galindo, Carlos (ed.) et al., \(p\)-adic analysis, arithmetic and singularities. UIMP-RSME, Lluís A. Santaló summer school, Universidad Internacional Menéndez Pelayo, Santander, Spain, June 24–28, 2019. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 778, 71-102 (2022). MSC: 11S40 11S80 14E15 11M41 14G10 14G20 14H20 PDF BibTeX XML Cite \textit{N. Potemans} and \textit{W. Veys}, Contemp. Math. 778, 71--102 (2022; Zbl 07548734) Full Text: DOI OpenURL
León-Cardenal, Edwin Archimedean zeta functions and oscillatory integrals. (English) Zbl 07548732 Galindo, Carlos (ed.) et al., \(p\)-adic analysis, arithmetic and singularities. UIMP-RSME, Lluís A. Santaló summer school, Universidad Internacional Menéndez Pelayo, Santander, Spain, June 24–28, 2019. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 778, 3-24 (2022). MSC: 14G10 42B20 11M41 14B05 14E15 41A60 32S05 32S40 PDF BibTeX XML Cite \textit{E. León-Cardenal}, Contemp. Math. 778, 3--24 (2022; Zbl 07548732) Full Text: DOI OpenURL
Barrera, Daniel; Dimitrov, Mladen; Jorza, Andrei \(p\)-adic \(L\)-functions of Hilbert cusp forms and the trivial zero conjecture. (English) Zbl 07547819 J. Eur. Math. Soc. (JEMS) 24, No. 10, 3439-3503 (2022). MSC: 11F67 11F41 11G40 PDF BibTeX XML Cite \textit{D. Barrera} et al., J. Eur. Math. Soc. (JEMS) 24, No. 10, 3439--3503 (2022; Zbl 07547819) Full Text: DOI OpenURL
Li, Qirui An intersection formula for CM cycles on Lubin-Tate spaces. (English) Zbl 07547785 Duke Math. J. 171, No. 9, 1923-2011 (2022). MSC: 14G10 14G35 14G40 PDF BibTeX XML Cite \textit{Q. Li}, Duke Math. J. 171, No. 9, 1923--2011 (2022; Zbl 07547785) Full Text: DOI OpenURL
Lieber, Joshua F.; Manin, Yuri I.; Marcolli, Matilde Bost-Connes systems and \(\mathbb{F}_1\)-structures in Grothendieck rings, spectra, and Nori motives. (English) Zbl 07543938 Aluffi, Paolo (ed.) et al., Facets of algebraic geometry. A collection in honor of William Fulton’s 80th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 473, 147-227 (2022). MSC: 14A23 14G10 14C25 PDF BibTeX XML Cite \textit{J. F. Lieber} et al., Lond. Math. Soc. Lect. Note Ser. 473, 147--227 (2022; Zbl 07543938) Full Text: Link OpenURL
Tabuada, Gonçalo Noncommutative Weil conjecture. (English) Zbl 07537682 Adv. Math. 404, Part A, Article ID 108385, 38 p. (2022). MSC: 14A22 11M38 55U99 14G10 PDF BibTeX XML Cite \textit{G. Tabuada}, Adv. Math. 404, Part A, Article ID 108385, 38 p. (2022; Zbl 07537682) Full Text: DOI OpenURL
Fresán, Javier; Sabbah, Claude; Yu, Jeng-Daw Hodge theory of Kloosterman connections. (English) Zbl 07536938 Duke Math. J. 171, No. 8, 1649-1747 (2022). MSC: 11G40 11F80 11L05 14F40 32S35 32S40 PDF BibTeX XML Cite \textit{J. Fresán} et al., Duke Math. J. 171, No. 8, 1649--1747 (2022; Zbl 07536938) Full Text: DOI Link OpenURL
Keller, Timo; Stoll, Michael Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces. (Vérification exacte de la conjecture BSD forte pour certaines variétés abéliennes absolument simples.) (English. French summary) Zbl 07534571 C. R., Math., Acad. Sci. Paris 360, 483-489 (2022). MSC: 11G40 11-04 11G10 11G30 14G35 PDF BibTeX XML Cite \textit{T. Keller} and \textit{M. Stoll}, C. R., Math., Acad. Sci. Paris 360, 483--489 (2022; Zbl 07534571) Full Text: DOI OpenURL
Macias Castillo, Daniel; Tsoi, Kwok-Wing On non-abelian higher special elements of \(p\)-adic representations. (English) Zbl 07533134 Isr. J. Math. 248, No. 1, 95-147 (2022). MSC: 11R42 11R23 11G10 11G40 PDF BibTeX XML Cite \textit{D. Macias Castillo} and \textit{K.-W. Tsoi}, Isr. J. Math. 248, No. 1, 95--147 (2022; Zbl 07533134) Full Text: DOI OpenURL
Melninkas, Lukas On the root numbers of abelian varieties with real multiplication. (English) Zbl 07527815 Acta Arith. 203, No. 2, 137-163 (2022). MSC: 11G10 14K15 11F80 11G40 PDF BibTeX XML Cite \textit{L. Melninkas}, Acta Arith. 203, No. 2, 137--163 (2022; Zbl 07527815) Full Text: DOI OpenURL
Lichtenbaum, Stephen; Ramachandran, Niranjan; Suzuki, Takashi The conjectures of Artin-Tate and Birch-Swinnerton-Dyer. (English) Zbl 07526392 Épijournal de Géom. Algébr., EPIGA 6, Article 7, 18 p. (2022). MSC: 11G40 14G10 19F27 PDF BibTeX XML Cite \textit{S. Lichtenbaum} et al., Épijournal de Géom. Algébr., EPIGA 6, Article 7, 18 p. (2022; Zbl 07526392) Full Text: DOI arXiv OpenURL
Rivero, Óscar Generalized Kato classes and exceptional zero conjectures. (English) Zbl 07525028 Indiana Univ. Math. J. 71, No. 2, 649-684 (2022). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{Ó. Rivero}, Indiana Univ. Math. J. 71, No. 2, 649--684 (2022; Zbl 07525028) Full Text: DOI OpenURL
Kondo, Satoshi; Watari, Taizan Modular parametrization as Polyakov path integral: cases with CM elliptic curves as target spaces. (English) Zbl 1485.11099 Commun. Number Theory Phys. 16, No. 2, 353-400 (2022). MSC: 11G05 11G15 11G40 81T30 81T40 PDF BibTeX XML Cite \textit{S. Kondo} and \textit{T. Watari}, Commun. Number Theory Phys. 16, No. 2, 353--400 (2022; Zbl 1485.11099) Full Text: DOI OpenURL
Castella, Francesc; Hsieh, Ming-Lun On the nonvanishing of generalised Kato classes for elliptic curves of rank 2. (English) Zbl 07514101 Forum Math. Sigma 10, Paper No. e12, 32 p. (2022). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{F. Castella} and \textit{M.-L. Hsieh}, Forum Math. Sigma 10, Paper No. e12, 32 p. (2022; Zbl 07514101) Full Text: DOI OpenURL
Wang, Xiaozong On the Bertini regularity theorem for arithmetic varieties. (Autour du théorème de Bertini sur la régularité pour les variétés arithmétiques.) (English. French summary) Zbl 07510277 J. Éc. Polytech., Math. 9, 601-670 (2022). MSC: 11G35 14G10 14G40 PDF BibTeX XML Cite \textit{X. Wang}, J. Éc. Polytech., Math. 9, 601--670 (2022; Zbl 07510277) Full Text: DOI OpenURL
Castella, Francesc; Wan, Xin The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions. (English) Zbl 07507732 Adv. Math. 400, Article ID 108266, 45 p. (2022). MSC: 11R23 11G05 11G40 PDF BibTeX XML Cite \textit{F. Castella} and \textit{X. Wan}, Adv. Math. 400, Article ID 108266, 45 p. (2022; Zbl 07507732) Full Text: DOI OpenURL
van Bommel, Raymond Numerical verification of the Birch and Swinnerton-Dyer conjecture for hyperelliptic curves of higher genus over \(\mathbb{Q}\) up to squares. (English) Zbl 07507077 Exp. Math. 31, No. 1, 138-145 (2022). MSC: 11G40 11G10 11G30 14H40 PDF BibTeX XML Cite \textit{R. van Bommel}, Exp. Math. 31, No. 1, 138--145 (2022; Zbl 07507077) Full Text: DOI OpenURL
Li, Chao; Liu, Yifeng Chow groups and \(L\)-derivatives of automorphic motives for unitary groups. II. (English) Zbl 07497567 Forum Math. Pi 10, Paper No. e5, 71 p. (2022). MSC: 11G18 11G40 11G50 14C15 PDF BibTeX XML Cite \textit{C. Li} and \textit{Y. Liu}, Forum Math. Pi 10, Paper No. e5, 71 p. (2022; Zbl 07497567) Full Text: DOI OpenURL
Liu, Yifeng; Tian, Yichao; Xiao, Liang; Zhang, Wei; Zhu, Xinwen On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives. (English) Zbl 07495375 Invent. Math. 228, No. 1, 107-375 (2022). Reviewer: Matteo Longo (Padova) MSC: 11G05 11G18 11G40 11R34 PDF BibTeX XML Cite \textit{Y. Liu} et al., Invent. Math. 228, No. 1, 107--375 (2022; Zbl 07495375) Full Text: DOI OpenURL
Hernandez, Valentin Families of coherent PEL automorphic forms. (English) Zbl 07493599 Doc. Math. 27, 213-294 (2022). MSC: 11G18 11F33 14K10 11F55 11G40 14L05 14G35 14G22 PDF BibTeX XML Cite \textit{V. Hernandez}, Doc. Math. 27, 213--294 (2022; Zbl 07493599) Full Text: DOI arXiv OpenURL
Xiao, Huan Campana points on biequivariant compactifications of the Heisenberg group. (English) Zbl 07490511 Eur. J. Math. 8, No. 1, 205-246 (2022). MSC: 11G50 11G35 14G05 14G10 PDF BibTeX XML Cite \textit{H. Xiao}, Eur. J. Math. 8, No. 1, 205--246 (2022; Zbl 07490511) Full Text: DOI arXiv OpenURL
Amir, Malik; Hong, Letong On \(L\)-functions of modular elliptic curves and certain \(K3\) surfaces. (English) Zbl 07490457 Ramanujan J. 57, No. 3, 1001-1019 (2022). MSC: 11F11 11G05 11G40 11B39 PDF BibTeX XML Cite \textit{M. Amir} and \textit{L. Hong}, Ramanujan J. 57, No. 3, 1001--1019 (2022; Zbl 07490457) Full Text: DOI arXiv OpenURL
Bertolini, Massimo; Darmon, Henri; Venerucci, Rodolfo Heegner points and Beilinson-Kato elements: a conjecture of Perrin-Riou. (English) Zbl 07483895 Adv. Math. 398, Article ID 108172, 50 p. (2022). MSC: 11F67 11G40 11G35 PDF BibTeX XML Cite \textit{M. Bertolini} et al., Adv. Math. 398, Article ID 108172, 50 p. (2022; Zbl 07483895) Full Text: DOI OpenURL
Combe, Noémie; Manin, Yuri I.; Marcolli, Matilde Geometry of information: classical and quantum aspects. (English) Zbl 1481.14001 Theor. Comput. Sci. 908, 2-27 (2022). MSC: 14-02 81-02 94-02 14G10 14C15 14C35 14E18 14A22 17B37 03C60 81P45 94A17 PDF BibTeX XML Cite \textit{N. Combe} et al., Theor. Comput. Sci. 908, 2--27 (2022; Zbl 1481.14001) Full Text: DOI arXiv OpenURL
Emory, Melissa; Goodson, Heidi Sato-Tate distributions of \(y^2=x^p-1\) and \(y^2=x^{2p}-1\). (English) Zbl 07474387 J. Algebra 597, 241-265 (2022). MSC: 11M50 11G10 11G20 14G10 PDF BibTeX XML Cite \textit{M. Emory} and \textit{H. Goodson}, J. Algebra 597, 241--265 (2022; Zbl 07474387) Full Text: DOI arXiv OpenURL
Asif, Sualeh; Fité, Francesc; Pentland, Dylan Computing \(L\)-polynomials of Picard curves from Cartier-Manin matrices. (English) Zbl 07473351 Math. Comput. 91, No. 334, 943-971 (2022). MSC: 11M38 14G10 11Y16 11G40 PDF BibTeX XML Cite \textit{S. Asif} et al., Math. Comput. 91, No. 334, 943--971 (2022; Zbl 07473351) Full Text: DOI arXiv OpenURL
Castella, Francesc; Grossi, Giada; Lee, Jaehoon; Skinner, Christopher On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes. (English) Zbl 07470587 Invent. Math. 227, No. 2, 517-580 (2022). MSC: 11G40 11R23 11G05 11S40 PDF BibTeX XML Cite \textit{F. Castella} et al., Invent. Math. 227, No. 2, 517--580 (2022; Zbl 07470587) Full Text: DOI arXiv OpenURL
Sprung, Florian Ito Chromatic Selmer groups and arithmetic invariants of elliptic curves. (English. French summary) Zbl 07469027 J. Théor. Nombres Bordx. 33, No. 3, Part 2, 1103-1114 (2022). MSC: 11G40 11G40 11R23 14H52 PDF BibTeX XML Cite \textit{F. I. Sprung}, J. Théor. Nombres Bordx. 33, No. 3, Part 2, 1103--1114 (2022; Zbl 07469027) Full Text: DOI OpenURL
Hamidi, Parham; Ray, Jishnu Conjecture a and \(\mu\)-invariant for Selmer groups of supersingular elliptic curves. (English. French summary) Zbl 07469018 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 853-886 (2022). MSC: 11G40 11R23 14H52 PDF BibTeX XML Cite \textit{P. Hamidi} and \textit{J. Ray}, J. Théor. Nombres Bordx. 33, No. 3, Part 1, 853--886 (2022; Zbl 07469018) Full Text: DOI arXiv OpenURL
Gatti, Francesca; Guitart, Xavier; Masdeu, Marc; Rotger, Victor Special values of triple-product \(p\)-adic L-functions and non-crystalline diagonal classes. (English. French summary) Zbl 07469016 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 809-834 (2022). MSC: 11G40 11F85 PDF BibTeX XML Cite \textit{F. Gatti} et al., J. Théor. Nombres Bordx. 33, No. 3, Part 1, 809--834 (2022; Zbl 07469016) Full Text: DOI arXiv OpenURL
Delbourgo, Daniel; Gilmore, Hamish Controlling \(\lambda\)-invariants for the double and triple product \(p\)-adic \(L\)-functions. (English. French summary) Zbl 07469014 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 733-778 (2022). MSC: 11F33 11F67 11G40 11R23 PDF BibTeX XML Cite \textit{D. Delbourgo} and \textit{H. Gilmore}, J. Théor. Nombres Bordx. 33, No. 3, Part 1, 733--778 (2022; Zbl 07469014) Full Text: DOI OpenURL
Agboola, Adebisi; Castella, Francesc On anticyclotomic variants of the \(p\)-adic Birch and Swinnerton-Dyer conjecture. (English. French summary) Zbl 07469011 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 629-658 (2022). MSC: 11G05 11R23 11G40 11G16 PDF BibTeX XML Cite \textit{A. Agboola} and \textit{F. Castella}, J. Théor. Nombres Bordx. 33, No. 3, Part 1, 629--658 (2022; Zbl 07469011) Full Text: DOI arXiv OpenURL
Thackeray, Henry (Maya) Robert A BSD formula for high-weight modular forms. (English) Zbl 07466557 J. Number Theory 234, 404-447 (2022). Reviewer: Remke Kloosterman (Padova) MSC: 11G40 11F23 11F80 11F85 11R23 PDF BibTeX XML Cite \textit{H. R. Thackeray}, J. Number Theory 234, 404--447 (2022; Zbl 07466557) Full Text: DOI OpenURL
He, Yang-Hui; Lee, Kyu-Hwan; Oliver, Thomas Machine-learning the Sato-Tate conjecture. (English) Zbl 1483.11133 J. Symb. Comput. 111, 61-72 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G40 11G30 11Y99 14G10 68T05 PDF BibTeX XML Cite \textit{Y.-H. He} et al., J. Symb. Comput. 111, 61--72 (2022; Zbl 1483.11133) Full Text: DOI arXiv OpenURL
Betts, L. Alexander Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction. (English) Zbl 1483.11125 J. Number Theory 231, 158-213 (2022). MSC: 11G20 11G40 14G20 20C10 PDF BibTeX XML Cite \textit{L. A. Betts}, J. Number Theory 231, 158--213 (2022; Zbl 1483.11125) Full Text: DOI arXiv OpenURL
Byeon, Dongho; Kim, Jigu Class numbers of real quadratic fields. (English) Zbl 07419368 J. Number Theory 231, 1-47 (2022). MSC: 11R29 11G40 11G05 11R11 PDF BibTeX XML Cite \textit{D. Byeon} and \textit{J. Kim}, J. Number Theory 231, 1--47 (2022; Zbl 07419368) Full Text: DOI OpenURL
Burungale, Ashay; Tian, Ye The even parity Goldfeld conjecture: congruent number elliptic curves. (English) Zbl 1484.11131 J. Number Theory 230, 161-195 (2022). Reviewer: Riccardo Pengo (Lyon) MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{A. Burungale} and \textit{Y. Tian}, J. Number Theory 230, 161--195 (2022; Zbl 1484.11131) Full Text: DOI arXiv OpenURL
Donepudi, Ravi; Li, Wanlin Vanishing of Dirichlet \(L\)-functions at the central point over function fields. (English) Zbl 07524090 Rocky Mt. J. Math. 51, No. 5, 1615-1628 (2021). MSC: 11M38 11S40 11T22 14G10 PDF BibTeX XML Cite \textit{R. Donepudi} and \textit{W. Li}, Rocky Mt. J. Math. 51, No. 5, 1615--1628 (2021; Zbl 07524090) Full Text: DOI Link OpenURL
Andrade, Julio; Jung, Hwanyup Mean values of derivatives of \(L\)-functions in function fields. IV. (English) Zbl 1483.11254 J. Korean Math. Soc. 58, No. 6, 1529-1547 (2021). MSC: 11R59 11M38 11M06 11G20 11M50 14G10 PDF BibTeX XML Cite \textit{J. Andrade} and \textit{H. Jung}, J. Korean Math. Soc. 58, No. 6, 1529--1547 (2021; Zbl 1483.11254) Full Text: DOI arXiv OpenURL
Cha, Byungchul; Fiorilli, Daniel; Jouve, Florent Erratum to: “Prime number races for elliptic curves over function fields”. (Erratum to: “Biais de Chebyshev pour les courbes elliptiques sur les corps de fonctions”.) (English. French summary) Zbl 1483.11213 Ann. Sci. Éc. Norm. Supér. (4) 54, No. 5, 1353-1362 (2021). MSC: 11N45 11G05 11G40 11N80 PDF BibTeX XML Cite \textit{B. Cha} et al., Ann. Sci. Éc. Norm. Supér. (4) 54, No. 5, 1353--1362 (2021; Zbl 1483.11213) Full Text: DOI OpenURL
Eskandari, Payman; Murty, V. Kumar On Ceresa cycles of Fermat curves. (English) Zbl 1481.11060 J. Ramanujan Math. Soc. 36, No. 4, 363-382 (2021). MSC: 11G05 14C15 14C25 11F67 14G05 11G40 14C30 14H40 14F35 PDF BibTeX XML Cite \textit{P. Eskandari} and \textit{V. K. Murty}, J. Ramanujan Math. Soc. 36, No. 4, 363--382 (2021; Zbl 1481.11060) Full Text: Link OpenURL
Cadoret, Anna What is \(\ldots\) a companion? (English) Zbl 1479.14001 Notices Am. Math. Soc. 68, No. 7, 1179-1182 (2021). MSC: 14-00 14G10 11R39 PDF BibTeX XML Cite \textit{A. Cadoret}, Notices Am. Math. Soc. 68, No. 7, 1179--1182 (2021; Zbl 1479.14001) Full Text: DOI OpenURL
Dąbrowski, Andrzej; Szymaszkiewicz, Lucjan Elliptic curves with exceptionally large analytic order of the Tate-Shafarevich groups. (English) Zbl 07472577 Colloq. Math. 166, No. 2, 217-225 (2021). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{A. Dąbrowski} and \textit{L. Szymaszkiewicz}, Colloq. Math. 166, No. 2, 217--225 (2021; Zbl 07472577) Full Text: DOI arXiv OpenURL
Bilu, Margaret; Howe, Sean Motivic Euler products in motivic statistics. (English) Zbl 07463741 Algebra Number Theory 15, No. 9, 2195-2259 (2021). MSC: 14G10 55R80 PDF BibTeX XML Cite \textit{M. Bilu} and \textit{S. Howe}, Algebra Number Theory 15, No. 9, 2195--2259 (2021; Zbl 07463741) Full Text: DOI arXiv OpenURL
Boxer, George; Calegari, Frank; Gee, Toby; Pilloni, Vincent Abelian surfaces over totally real fields are potentially modular. (English) Zbl 07458827 Publ. Math., Inst. Hautes Étud. Sci. 134, 153-501 (2021). MSC: 11F80 14G10 14K15 11G10 PDF BibTeX XML Cite \textit{G. Boxer} et al., Publ. Math., Inst. Hautes Étud. Sci. 134, 153--501 (2021; Zbl 07458827) Full Text: DOI arXiv OpenURL
Li, Chao; Liu, Yifeng Chow groups and \(L\)-derivatives of automorphic motives for unitary groups. (English) Zbl 07441737 Ann. Math. (2) 194, No. 3, 817-901 (2021). MSC: 11G18 11G40 11G50 14C15 PDF BibTeX XML Cite \textit{C. Li} and \textit{Y. Liu}, Ann. Math. (2) 194, No. 3, 817--901 (2021; Zbl 07441737) Full Text: DOI arXiv OpenURL
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim Supercongruences for rigid hypergeometric Calabi-Yau threefolds. (English) Zbl 1479.14047 Adv. Math. 393, Article ID 108058, 49 p. (2021). Reviewer: Davide Cesare Veniani (Stuttgart) MSC: 14J32 14J33 11F33 11T24 14G10 33C20 PDF BibTeX XML Cite \textit{L. Long} et al., Adv. Math. 393, Article ID 108058, 49 p. (2021; Zbl 1479.14047) Full Text: DOI arXiv OpenURL
Shu, Jie; Song, Xu; Yin, Hongbo Cube sums of the forms \(3p\) and \(3p^2\). (English) Zbl 07428897 Math. Z. 299, No. 3-4, 2297-2325 (2021). Reviewer: Maciej Ulas (Kraków) MSC: 11G05 11G40 14G10 PDF BibTeX XML Cite \textit{J. Shu} et al., Math. Z. 299, No. 3--4, 2297--2325 (2021; Zbl 07428897) Full Text: DOI arXiv OpenURL
Flach, Matthias; Morin, Baptiste Compatibility of special value conjectures with the functional equation of zeta functions. (English) Zbl 07427306 Doc. Math. 26, 1633-1677 (2021). Reviewer: Kazuma Morita (Sapporo) MSC: 11G40 14F40 14F25 PDF BibTeX XML Cite \textit{M. Flach} and \textit{B. Morin}, Doc. Math. 26, 1633--1677 (2021; Zbl 07427306) Full Text: DOI arXiv OpenURL
Andrade, J. C.; Jung, H.; Shamesaldeen, A. The integral moments and ratios of quadratic Dirichlet \(L\)-functions over monic irreducible polynomials in \(\mathbb{F}_q [T]\). (English) Zbl 1485.11137 Ramanujan J. 56, No. 1, 23-66 (2021). MSC: 11M38 11M06 11G20 11M50 14G10 PDF BibTeX XML Cite \textit{J. C. Andrade} et al., Ramanujan J. 56, No. 1, 23--66 (2021; Zbl 1485.11137) Full Text: DOI arXiv OpenURL
Matar, Ahmed; Nekovář, Jan Correction to: “Kolyvagin’s result on the vanishing of \(Ш(E/K)[p^\infty]\) and its consequences for anticyclotomic Iwasawa theory”. (English. French summary) Zbl 1473.11123 J. Théor. Nombres Bordx. 33, No. 2, 627-628 (2021). MSC: 11G05 11R23 11G18 11G40 14G10 14G35 PDF BibTeX XML Cite \textit{A. Matar} and \textit{J. Nekovář}, J. Théor. Nombres Bordx. 33, No. 2, 627--628 (2021; Zbl 1473.11123) Full Text: DOI OpenURL
Banaszak, Grzegorz; Uetake, Yoichi Abstract intersection theory for zeta-functions: geometric aspects. (English) Zbl 1473.11166 Funct. Approximatio, Comment. Math. 64, No. 2, 251-265 (2021). MSC: 11M26 47A10 14G10 PDF BibTeX XML Cite \textit{G. Banaszak} and \textit{Y. Uetake}, Funct. Approximatio, Comment. Math. 64, No. 2, 251--265 (2021; Zbl 1473.11166) Full Text: DOI OpenURL
Agashe, Amod Visibility and the Birch and Swinnerton-Dyer conjecture for analytic rank zero. (English) Zbl 07407486 J. Ramanujan Math. Soc. 36, No. 2, 169-178 (2021). Reviewer: Kazuma Morita (Sapporo) MSC: 11G40 11G05 14G05 PDF BibTeX XML Cite \textit{A. Agashe}, J. Ramanujan Math. Soc. 36, No. 2, 169--178 (2021; Zbl 07407486) Full Text: arXiv Link OpenURL
Barrera Salazar, Daniel; Williams, Chris Parabolic eigenvarieties via overconvergent cohomology. (English) Zbl 1477.11115 Math. Z. 299, No. 1-2, 961-995 (2021). MSC: 11F85 11G40 11F67 11F75 11F33 PDF BibTeX XML Cite \textit{D. Barrera Salazar} and \textit{C. Williams}, Math. Z. 299, No. 1--2, 961--995 (2021; Zbl 1477.11115) Full Text: DOI arXiv OpenURL
Tamiozzo, Matteo On the Bloch-Kato conjecture for Hilbert modular forms. (English) Zbl 07402891 Math. Z. 299, No. 1-2, 427-458 (2021). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G40 11F41 11F80 11R23 PDF BibTeX XML Cite \textit{M. Tamiozzo}, Math. Z. 299, No. 1--2, 427--458 (2021; Zbl 07402891) Full Text: DOI arXiv OpenURL
Yang, Wenzhe Deligne’s conjecture and mirror symmetry. (English) Zbl 1483.14069 Nucl. Phys., B 962, Article ID 115245, 24 p. (2021). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14J33 11G40 11G42 81T30 14J32 PDF BibTeX XML Cite \textit{W. Yang}, Nucl. Phys., B 962, Article ID 115245, 24 p. (2021; Zbl 1483.14069) Full Text: DOI arXiv OpenURL
Melistas, Mentzelos On a conjecture of Agashe. (English) Zbl 07397999 Trans. Am. Math. Soc. 374, No. 10, 7143-7160 (2021). Reviewer: Paul Voutier (London) MSC: 11G05 11G07 11G40 PDF BibTeX XML Cite \textit{M. Melistas}, Trans. Am. Math. Soc. 374, No. 10, 7143--7160 (2021; Zbl 07397999) Full Text: DOI arXiv OpenURL
Delbourgo, Daniel Variation of the algebraic \(\lambda\)-invariant over a solvable extension. (English) Zbl 1482.11072 Math. Proc. Camb. Philos. Soc. 170, No. 3, 499-521 (2021). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F33 11F80 11G40 11R23 PDF BibTeX XML Cite \textit{D. Delbourgo}, Math. Proc. Camb. Philos. Soc. 170, No. 3, 499--521 (2021; Zbl 1482.11072) Full Text: DOI OpenURL
Pieropan, Marta; Smeets, Arne; Tanimoto, Sho; Várilly-Alvarado, Anthony Campana points of bounded height on vector group compactifications. (English) Zbl 1479.11116 Proc. Lond. Math. Soc. (3) 123, No. 1, 57-101 (2021). Reviewer: Paul Voutier (London) MSC: 11G50 11G35 14G05 14G10 PDF BibTeX XML Cite \textit{M. Pieropan} et al., Proc. Lond. Math. Soc. (3) 123, No. 1, 57--101 (2021; Zbl 1479.11116) Full Text: DOI arXiv OpenURL
Liu, Yifeng Mixed arithmetic theta lifting for unitary groups. (English) Zbl 1483.11124 Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 329-350 (2021). Reviewer: Lei Yang (Beijing) MSC: 11G18 11G40 14G40 PDF BibTeX XML Cite \textit{Y. Liu}, in: Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22--28, 2018. Cham: Springer. 329--350 (2021; Zbl 1483.11124) Full Text: DOI OpenURL
Gross, Benedict H. Incoherent definite spaces and Shimura varieties. (English) Zbl 1475.11124 Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 187-215 (2021). MSC: 11G18 14G35 14G10 14G15 PDF BibTeX XML Cite \textit{B. H. Gross}, in: Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22--28, 2018. Cham: Springer. 187--215 (2021; Zbl 1475.11124) Full Text: DOI arXiv OpenURL
Yuan, Xinyi Positivity of Hodge bundles of abelian varieties over some function fields. (English) Zbl 07384184 Compos. Math. 157, No. 9, 1964-2000 (2021). MSC: 14G17 14G10 14G25 PDF BibTeX XML Cite \textit{X. Yuan}, Compos. Math. 157, No. 9, 1964--2000 (2021; Zbl 07384184) Full Text: DOI arXiv OpenURL
Beukers, Frits; Vlasenko, Masha Dwork crystals. II. (English) Zbl 07381592 Int. Math. Res. Not. 2021, No. 6, 4427-4444 (2021). MSC: 11S80 14G10 PDF BibTeX XML Cite \textit{F. Beukers} and \textit{M. Vlasenko}, Int. Math. Res. Not. 2021, No. 6, 4427--4444 (2021; Zbl 07381592) Full Text: DOI arXiv OpenURL
Bertolini, Massimo; Seveso, Marco Adamo; Venerucci, Rodolfo Heegner points and exceptional zeros of Garrett \(p\)-adic \(L\)-functions. (English) Zbl 1484.11147 Milan J. Math. 89, No. 1, 241-261 (2021). Reviewer: Riccardo Pengo (Lyon) MSC: 11G40 11G05 11F33 11F80 PDF BibTeX XML Cite \textit{M. Bertolini} et al., Milan J. Math. 89, No. 1, 241--261 (2021; Zbl 1484.11147) Full Text: DOI OpenURL
Liu, Yifeng [Li, Chao; Zhu, Yihang] Fourier-Jacobi cycles and arithmetic relative trace formula. (English) Zbl 1472.11194 Camb. J. Math. 9, No. 1, 1-147 (2021). MSC: 11G18 11G40 14G40 PDF BibTeX XML Cite \textit{Y. Liu}, Camb. J. Math. 9, No. 1, 1--147 (2021; Zbl 1472.11194) Full Text: DOI arXiv OpenURL
Pasten, Hector Remarks on the size of the Tamagawa product. (English) Zbl 1464.11058 Comparin, Paola (ed.) et al., Geometry at the frontier. Symmetries and moduli spaces of algebraic varieties. 2016–2018 workshops, Universidad de la Frontera, Pucón, Chile, November 2016, November 2017, November 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 766, 277-282 (2021). MSC: 11G05 11J25 11G40 14H52 PDF BibTeX XML Cite \textit{H. Pasten}, Contemp. Math. 766, 277--282 (2021; Zbl 1464.11058) Full Text: DOI OpenURL
Graham, Andrew; Gulotta, Daniel R.; Xu, Yujie Bounding Selmer groups for the Rankin-Selberg convolution of Coleman families. Justification of hypotheses. (English) Zbl 1477.11093 Can. J. Math. 73, No. 3, 805-853 (2021). MSC: 11F67 11F85 11G40 14G35 PDF BibTeX XML Cite \textit{A. Graham} et al., Can. J. Math. 73, No. 3, 805--853 (2021; Zbl 1477.11093) Full Text: DOI arXiv OpenURL
Brock, Bradley W.; Jordan, Bruce W.; Poonen, Bjorn; Scholl, Anthony J.; Wetherell, Joseph L. Linear independence in linear systems on elliptic curves. (English) Zbl 1479.14038 Comment. Math. Helv. 96, No. 2, 199-213 (2021). Reviewer: Andrea Bandini (Pisa) MSC: 14H52 11G05 14F30 11G40 11F11 14G35 PDF BibTeX XML Cite \textit{B. W. Brock} et al., Comment. Math. Helv. 96, No. 2, 199--213 (2021; Zbl 1479.14038) Full Text: DOI arXiv OpenURL
Sato, Kanetomo Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces. (English) Zbl 1471.14045 J. Number Theory 227, 166-234 (2021). MSC: 14F20 19F27 14G10 11R34 14F42 PDF BibTeX XML Cite \textit{K. Sato}, J. Number Theory 227, 166--234 (2021; Zbl 1471.14045) Full Text: DOI arXiv OpenURL
Jha, Somnath; Majumdar, Dipramit; Shekhar, Sudhanshu \(p^r\)-Selmer companion modular forms. (\(p^r\)-Selmer compagnon formes modulaires.) (English. French summary) Zbl 1472.11132 Ann. Inst. Fourier 71, No. 1, 53-87 (2021). MSC: 11F33 11R23 11R34 11S25 11G40 PDF BibTeX XML Cite \textit{S. Jha} et al., Ann. Inst. Fourier 71, No. 1, 53--87 (2021; Zbl 1472.11132) Full Text: DOI arXiv OpenURL
Wawrów, Wojciech On torsion of superelliptic Jacobians. (English. French summary) Zbl 1475.14054 J. Théor. Nombres Bordx. 33, No. 1, 223-235 (2021). MSC: 14H40 14G10 14H45 PDF BibTeX XML Cite \textit{W. Wawrów}, J. Théor. Nombres Bordx. 33, No. 1, 223--235 (2021; Zbl 1475.14054) Full Text: DOI arXiv OpenURL
Bertolini, Massimo; Darmon, Henri; Lilienfeldt, David; Prasanna, Kartik Generalised Heegner cycles and the complex Abel-Jacobi map. (English) Zbl 07357481 Math. Z. 298, No. 1-2, 385-418 (2021). MSC: 11G15 11G40 14C25 PDF BibTeX XML Cite \textit{M. Bertolini} et al., Math. Z. 298, No. 1--2, 385--418 (2021; Zbl 07357481) Full Text: DOI OpenURL
Andrade, Julio; Shamesaldeen, Asmaa The moments and statistical distribution of class number of primes over function fields. (English) Zbl 1479.11155 Finite Fields Appl. 73, Article ID 101845, 32 p. (2021). MSC: 11M38 11M06 11G20 11M50 14G10 PDF BibTeX XML Cite \textit{J. Andrade} and \textit{A. Shamesaldeen}, Finite Fields Appl. 73, Article ID 101845, 32 p. (2021; Zbl 1479.11155) Full Text: DOI arXiv OpenURL
Geisser, Thomas H. Tate’s conjecture and the Tate-Shafarevich group over global function fields. (English) Zbl 1481.11067 J. Inst. Math. Jussieu 20, No. 3, 1001-1022 (2021). Reviewer: Ana María Botero (Regensburg) MSC: 11G40 14G17 14J20 11G25 11G35 PDF BibTeX XML Cite \textit{T. H. Geisser}, J. Inst. Math. Jussieu 20, No. 3, 1001--1022 (2021; Zbl 1481.11067) Full Text: DOI arXiv OpenURL
Shu, Jie Root numbers for the Jacobian varieties of Fermat curves. (English) Zbl 1483.11134 J. Number Theory 226, 243-270 (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G40 11G10 11G30 PDF BibTeX XML Cite \textit{J. Shu}, J. Number Theory 226, 243--270 (2021; Zbl 1483.11134) Full Text: DOI arXiv OpenURL
Shu, Jie; Zhai, Shuai Generalized Birch lemma and the 2-part of the Birch and Swinnerton-Dyer conjecture for certain elliptic curves. (English) Zbl 1481.11068 J. Reine Angew. Math. 775, 117-143 (2021). Reviewer: Kazuma Morita (Sapporo) MSC: 11G40 11G05 14H52 PDF BibTeX XML Cite \textit{J. Shu} and \textit{S. Zhai}, J. Reine Angew. Math. 775, 117--143 (2021; Zbl 1481.11068) Full Text: DOI arXiv OpenURL
Zhang, Wei Weil representation and arithmetic fundamental lemma. (English) Zbl 07353244 Ann. Math. (2) 193, No. 3, 863-978 (2021). Reviewer: Zhengyu Mao (Newark) MSC: 11F27 11F67 11G40 14C25 14G35 PDF BibTeX XML Cite \textit{W. Zhang}, Ann. Math. (2) 193, No. 3, 863--978 (2021; Zbl 07353244) Full Text: DOI arXiv OpenURL
Novikov, Sergey (ed.); Krichever, Igor (ed.); Ogievetsky, Oleg (ed.); Shlosman, Senya (ed.) Integrability, quantization, and geometry I. Integrable systems. Dedicated to the memory of Boris Dubrovin 1950–2019. (English) Zbl 1461.37001 Proceedings of Symposia in Pure Mathematics 103, 1. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5591-0/pbk; 978-1-4704-6434-9/ebook). xxi, 516 p. (2021). MSC: 37-06 14-06 14F08 14F10 14G10 14J10 14J33 14J60 33E05 53A07 53D17 53D37 00B15 00B30 PDF BibTeX XML Cite \textit{S. Novikov} (ed.) et al., Integrability, quantization, and geometry I. Integrable systems. Dedicated to the memory of Boris Dubrovin 1950--2019. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1461.37001) Full Text: DOI OpenURL
Choi, Junhwa; Li, Yongxiong Quadratic twists of \(X_0(14)\). (English) Zbl 1468.11151 J. Number Theory 224, 142-164 (2021). MSC: 11G40 11G05 PDF BibTeX XML Cite \textit{J. Choi} and \textit{Y. Li}, J. Number Theory 224, 142--164 (2021; Zbl 1468.11151) Full Text: DOI OpenURL
Delbourgo, Daniel; Gilmore, Hamish Computing \(\mathcal L\)-invariants for the symmetric square of an elliptic curve. (English) Zbl 1475.11196 Exp. Math. 30, No. 1, 32-55 (2021). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11E95 11G40 PDF BibTeX XML Cite \textit{D. Delbourgo} and \textit{H. Gilmore}, Exp. Math. 30, No. 1, 32--55 (2021; Zbl 1475.11196) Full Text: DOI OpenURL
Dokchitser, Vladimir; Evans, Robert; Wiersema, Hanneke On a BSD-type formula for \(L\)-values of Artin twists of elliptic curves. (English) Zbl 1485.11107 J. Reine Angew. Math. 773, 199-230 (2021). Reviewer: Kazuma Morita (Sapporo) MSC: 11G40 11G05 PDF BibTeX XML Cite \textit{V. Dokchitser} et al., J. Reine Angew. Math. 773, 199--230 (2021; Zbl 1485.11107) Full Text: DOI arXiv OpenURL
Molina, Santiago Finite slope triple product \(p\)-adic \(L\)-functions over totally real number fields. (English) Zbl 1469.11165 J. Number Theory 223, 267-306 (2021). MSC: 11F85 11G40 11F67 11G18 11F33 PDF BibTeX XML Cite \textit{S. Molina}, J. Number Theory 223, 267--306 (2021; Zbl 1469.11165) Full Text: DOI OpenURL
Wang, Shan Wen Kato’s Euler system in families. II. (Le système d’Euler de Kato en famillie. II.) (English) Zbl 1469.11166 Acta Math. Sin., Engl. Ser. 37, No. 1, 173-204 (2021). MSC: 11F85 11F67 11G40 11R33 11S80 14G10 14G35 PDF BibTeX XML Cite \textit{S. W. Wang}, Acta Math. Sin., Engl. Ser. 37, No. 1, 173--204 (2021; Zbl 1469.11166) Full Text: DOI OpenURL
Borges, Herivelto; Coutinho, Mariana On the zeta function and the automorphism group of the generalized Suzuki curve. (English) Zbl 1457.14053 Trans. Am. Math. Soc. 374, No. 3, 1899-1917 (2021). Reviewer: Edoardo Ballico (Povo) MSC: 14G10 11G20 14G05 14H37 PDF BibTeX XML Cite \textit{H. Borges} and \textit{M. Coutinho}, Trans. Am. Math. Soc. 374, No. 3, 1899--1917 (2021; Zbl 1457.14053) Full Text: DOI arXiv OpenURL
Longo, Matteo; Pati, Maria Rosaria Generalized Heegner cycles on Mumford curves. (English) Zbl 1477.11120 Math. Z. 297, No. 1-2, 483-515 (2021). Reviewer: Sajad Salami (Rio de Janeiro) 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 1477.11120) Full Text: DOI arXiv OpenURL
Kadets, Borys Estimates for the number of rational points on simple abelian varieties over finite fields. (English) Zbl 1479.11102 Math. Z. 297, No. 1-2, 465-473 (2021). Reviewer: Alejandro José Giangreco Maidana (Asunción) MSC: 11G10 11G20 11G25 14G10 14G15 PDF BibTeX XML Cite \textit{B. Kadets}, Math. Z. 297, No. 1--2, 465--473 (2021; Zbl 1479.11102) Full Text: DOI arXiv OpenURL
Beneish, Lea; Mertens, Michael H. On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras. (English) Zbl 1472.11114 Math. Z. 297, No. 1-2, 59-80 (2021). Reviewer: Matthew Krauel (Sacramento) MSC: 11F03 11F22 17B69 11F37 11G40 11G05 11F67 PDF BibTeX XML Cite \textit{L. Beneish} and \textit{M. H. Mertens}, Math. Z. 297, No. 1--2, 59--80 (2021; Zbl 1472.11114) Full Text: DOI arXiv OpenURL
Mok, Chung Pang On a theorem of Bertolini-Darmon on the rationality of Stark-Heegner points over genus fields of real quadratic fields. (English) Zbl 1470.11153 Trans. Am. Math. Soc. 374, No. 2, 1391-1419 (2021). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{C. P. Mok}, Trans. Am. Math. Soc. 374, No. 2, 1391--1419 (2021; Zbl 1470.11153) Full Text: DOI arXiv OpenURL
Howe, Everett W. The maximum number of points on a curve of genus eight over the field of four elements. (English) Zbl 1464.11061 J. Number Theory 220, 320-329 (2021). Reviewer: Mariana Coutinho (São Carlos) MSC: 11G20 14G05 14G10 14G15 PDF BibTeX XML Cite \textit{E. W. Howe}, J. Number Theory 220, 320--329 (2021; Zbl 1464.11061) Full Text: DOI arXiv OpenURL
Djanković, Goran; Đokić, Dragan; Lelas, Nikola; Vrećica, Ilija The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields. (English) Zbl 1464.11095 J. Number Theory 218, 334-369 (2021). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M38 11T06 11M50 14G10 11T55 PDF BibTeX XML Cite \textit{G. Djanković} et al., J. Number Theory 218, 334--369 (2021; Zbl 1464.11095) Full Text: DOI OpenURL
Tian, Ye Congruent number problem and Goldfeld conjecture. (Chinese. English summary) Zbl 07494841 Sci. Sin., Math. 50, No. 11, 1525-1540 (2020). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{Y. Tian}, Sci. Sin., Math. 50, No. 11, 1525--1540 (2020; Zbl 07494841) Full Text: DOI OpenURL
Kobayashi, Shinichi; Ota, Kazuto Anticyclotomic main conjecture for modular forms and integral Perrin-Riou twists. (English) Zbl 1471.11267 Kurihara, Masato (ed.) et al., Development of Iwasawa theory – the centennial of K. Iwasawa’s birth. Proceedings of the international conference “Iwasawa 2017”, University of Tokyo, Tokyo, Japan, July 19–28, 2017. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 86, 537-594 (2020). MSC: 11R23 11F11 11G40 PDF BibTeX XML Cite \textit{S. Kobayashi} and \textit{K. Ota}, Adv. Stud. Pure Math. 86, 537--594 (2020; Zbl 1471.11267) Full Text: DOI OpenURL
Büyükboduk, Kâzım Beilinson-Kato and Beilinson-Flach elements, Coleman-Rubin-Stark classes, Heegner points and a conjecture of Perrin-riou. (English) Zbl 1473.11119 Kurihara, Masato (ed.) et al., Development of Iwasawa theory – the centennial of K. Iwasawa’s birth. Proceedings of the international conference “Iwasawa 2017”, University of Tokyo, Tokyo, Japan, July 19–28, 2017. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 86, 141-193 (2020). MSC: 11G05 11G07 11G40 11R23 14G10 PDF BibTeX XML Cite \textit{K. Büyükboduk}, Adv. Stud. Pure Math. 86, 141--193 (2020; Zbl 1473.11119) Full Text: DOI arXiv OpenURL
Czarnecki, Aleksander Counting points on double octic Calabi-Yau threefolds over finite fields. (English) Zbl 1475.14072 Ann. Pol. Math. 125, No. 3, 215-227 (2020). Reviewer: Dominik Burek (Kraków) MSC: 14J32 14G10 PDF BibTeX XML Cite \textit{A. Czarnecki}, Ann. Pol. Math. 125, No. 3, 215--227 (2020; Zbl 1475.14072) Full Text: DOI OpenURL
Tanaka, Hidekazu Gamma factors of zeta functions as absolute zeta functions. (English) Zbl 1473.14044 Kyushu J. Math. 74, No. 2, 441-449 (2020). MSC: 14G10 11M38 PDF BibTeX XML Cite \textit{H. Tanaka}, Kyushu J. Math. 74, No. 2, 441--449 (2020; Zbl 1473.14044) Full Text: DOI OpenURL
Burungale, Ashay A.; Disegni, Daniel On the non-vanishing of \(p\)-adic heights on CM abelian varieties, and the arithmetic of Katz \(p\)-adic \(L\)-functions. (Sur la non-annulation des hauteurs \(p\)-adiques sur les variétés abéliennes CM, et l’arithmétique des fonctions \(L p\)-adiques de Katz.) (English. French summary) Zbl 1470.11185 Ann. Inst. Fourier 70, No. 5, 2077-2101 (2020). Reviewer: Federico Bambozzi (Oxford) MSC: 11G50 11G10 11G40 PDF BibTeX XML Cite \textit{A. A. Burungale} and \textit{D. Disegni}, Ann. Inst. Fourier 70, No. 5, 2077--2101 (2020; Zbl 1470.11185) Full Text: DOI arXiv OpenURL
Coates, John; Li, Yongxiong Non-vanishing theorems for central \(L\)-values of some elliptic curves with complex multiplication. (English) Zbl 07346496 Proc. Lond. Math. Soc. (3) 121, No. 6, 1531-1578 (2020). Reviewer: Matteo Longo (Padova) MSC: 11G15 11G05 11G40 PDF BibTeX XML Cite \textit{J. Coates} and \textit{Y. Li}, Proc. Lond. Math. Soc. (3) 121, No. 6, 1531--1578 (2020; Zbl 07346496) Full Text: DOI arXiv OpenURL
Cao, Wei; Hong, Shaofang \(L\)-functions of twisted exponential sums over finite fields. (English) Zbl 1469.11346 Ramanujan J. 53, No. 3, 569-584 (2020). MSC: 11M38 11T24 14G10 PDF BibTeX XML Cite \textit{W. Cao} and \textit{S. Hong}, Ramanujan J. 53, No. 3, 569--584 (2020; Zbl 1469.11346) Full Text: DOI OpenURL