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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 07351884
Ann. Inst. Fourier 70, No. 5, 2077-2101 (2021).
Reviewer: Reviewer (Berlin)
MSC:  11G50 11G10 11G40
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\textit{A. A. Burungale} and \textit{D. Disegni}, Ann. Inst. Fourier 70, No. 5, 2077--2101 (2021; Zbl 07351884)
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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 07344711
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).
Reviewer: Reviewer (Berlin)
MSC:  37-06 14-06 14F08 14F10 14G10 14J10 14J33 14J60 33E05 53A07 53D17 53D37 00B15 00B30
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\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 07344711)
Kim, Minhyong
Arithmetic Chern-Simons theory. I. (English) Zbl 1456.14029
Neumann, Frank (ed.) et al., Galois covers, Grothendieck-Teichmüller theory and dessins d’enfants. Interactions between geometry, topology, number theory and algebra. Proceedings from the London Mathematical Society Midlands regional meeting and workshop, Leicester, UK, June 4–7, 2018. Cham: Springer. Springer Proc. Math. Stat. 330, 155-180 (2020).
Reviewer: Reviewer (Berlin)
MSC:  14G10 11G40 81T45
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\textit{M. Kim}, Springer Proc. Math. Stat. 330, 155--180 (2020; Zbl 1456.14029)
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Li, Chao
Recent developments on quadratic twists of elliptic curves. (English) Zbl 1457.11077
Cheng, Shiu Yuen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 381-399 (2020).
Reviewer: Reviewer (Berlin)
MSC:  11G05 11G40
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\textit{C. Li}, in: Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 381--399 (2020; Zbl 1457.11077)
Wan, Xin
Iwasawa theory, Heegner points and BSD conjecture. (English) Zbl 1457.11150
Ji, Lizhen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 503-517 (2020).
Reviewer: Reviewer (Berlin)
MSC:  11R23 11G40 11G05
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\textit{X. Wan}, in: Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 503--517 (2020; Zbl 1457.11150)
Sutherland, Andrew V.
Counting points on superelliptic curves in average polynomial time. (English) Zbl 07319980
Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-07-1/print; 978-1-935107-08-8/ebook). The Open Book Series 4, 403-422 (2020).
Reviewer: Reviewer (Berlin)
MSC:  11Y16 11G20 11M38 14G10
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\textit{A. V. Sutherland}, Open Book Ser. 4, 403--422 (2020; Zbl 07319980)
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Duncan, John F. R.
From the monster to Thompson to O’Nan. (English) Zbl 1456.11063
Krauel, Matthew (ed.) et al., Vertex operator algebras, number theory and related topics. International conference, California State University, Sacramento, CA, USA, June 11–15, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 753, 73-93 (2020).
Reviewer: Reviewer (Berlin)
MSC:  11F22 11F37 20D08 11G05 11G40 20C34
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\textit{J. F. R. Duncan}, Contemp. Math. 753, 73--93 (2020; Zbl 1456.11063)
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Essouabri, Driss
On mean values of multivariable complex valued multiplicative functions and applications. (English) Zbl 07283180
Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-088-4/hbk). Advanced Studies in Pure Mathematics 84, 23-64 (2020).
Reviewer: Reviewer (Berlin)
MSC:  11N37 11M32 11M41 11R42 11R52 11S40 11S45 14G10 11E45 11F66 11F70 11F72 11P21
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\textit{D. Essouabri}, Adv. Stud. Pure Math. 84, 23--64 (2020; Zbl 07283180)
Full Text: DOI Euclid
Bandini, Andrea; Bars, Francesc; Longhi, Ignazio
Aspects of Iwasawa theory over function fields. (English) Zbl 1454.11199
Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 375-416 (2020).
Reviewer: Thong Nguyen Quang Do (Besançon)
MSC:  11R23 11G09 11G05 11R58 11G40
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\textit{A. Bandini} et al., in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 375--416 (2020; Zbl 1454.11199)
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Berger, Lisa; Hall, Chris; Pannekoek, René; Park, Jennifer; Pries, Rachel; Sharif, Shahed; Silverberg, Alice; Ulmer, Douglas
Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields. (English) Zbl 07242226
Memoirs of the American Mathematical Society 1295. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4219-4/pbk; 978-1-4704-6253-6/ebook). v, 131 p. (2020).
Reviewer: Ahmed Lesfari (El Jadida)
MSC:  11-02 11G05 11G40 11G30 14H05
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\textit{L. Berger} et al., Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 07242226)
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Martín-Morales, Jorge; Mourtada, Hussein; Veys, Willem; Vos, Lena
Note on the monodromy conjecture for a space monomial curve with a plane semigroup. (Note sur la conjecture de la monodromie pour une courbe d’espace monomiale dont le semi-groupe est celui d’une branche plane.) (English. French summary) Zbl 1440.14046
C. R., Math., Acad. Sci. Paris 358, No. 2, 177-187 (2020).
Reviewer: Reviewer (Berlin)
MSC:  14D05 14H50 14G10 14E15 14E18 14H20 14J17 32S40
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\textit{J. Martín-Morales} et al., C. R., Math., Acad. Sci. Paris 358, No. 2, 177--187 (2020; Zbl 1440.14046)
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Hartung, Tobias; Jansen, Karl
Integrating gauge fields in the \(\zeta\)-formulation of Feynman’s path integral. (English) Zbl 1442.81052
Boggiatto, Paolo (ed.) et al., Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2–6, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 241-258 (2020).
Reviewer: Reviewer (Berlin)
MSC:  81T13 81T15 81S40 35S30 14G10
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\textit{T. Hartung} and \textit{K. Jansen}, in: Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2--6, 2018. Cham: Birkhäuser. 241--258 (2020; Zbl 1442.81052)
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Manin, Yuri I.; Marcolli, Matilde
Homotopy types and geometries below \(\mathrm{Spec}(\mathbb{Z})\). (English) Zbl 07217768
Moree, Pieter (ed.) et al., Dynamics: topology and numbers. Conference, Max Planck Institute for Mathematics, Bonn, Germany, July 2–6, 2018. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5100-4/pbk; 978-1-4704-5454-8/ebook). Contemporary Mathematics 744, 27-56 (2020).
Reviewer: Reviewer (Berlin)
MSC:  14A23 14-02 14G40 14G15 14G10 37P35 14C15 14A22 11M41 55P43 82B10
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\textit{Y. I. Manin} and \textit{M. Marcolli}, Contemp. Math. 744, 27--56 (2020; Zbl 07217768)
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Kahn, Bruno
Zeta and \(L\)-functions of varieties and motives. Translated from the French. (English) Zbl 07191386
London Mathematical Society Lecture Note Series 462. Cambridge: Cambridge University Press (ISBN 978-1-108-70339-0/pbk; 978-1-108-69153-6/ebook). viii, 208 p. (2020).
Reviewer: Reviewer (Berlin)
MSC:  14-02 14G10 14F42 11M41 30D15
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\textit{B. Kahn}, Zeta and \(L\)-functions of varieties and motives. Translated from the French. Cambridge: Cambridge University Press (2020; Zbl 07191386)
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Burgos Gil, José Ignacio (ed.); Ebrahimi-Fard, Kurusch (ed.); Gangl, Herbert (ed.)
Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. (English) Zbl 1446.81002
Springer Proceedings in Mathematics & Statistics 314. Cham: Springer (ISBN 978-3-030-37030-5/hbk; 978-3-030-37031-2/ebook). x, 630 p. (2020).
Reviewer: Reviewer (Berlin)
MSC:  81-06 11-06 14-06 00B25 11M32 81T18 14G10
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\textit{J. I. Burgos Gil} (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15--19, 2014. Cham: Springer (2020; Zbl 1446.81002)
Full Text: DOI
Gao, Ziyang; von Känel, Rafael; Mocz, Lucia
Faltings heights and \(L\)-functions: minicourse given by Shou-Wu Zhang. (English) Zbl 07274013
Wüstholz, Gisbert (ed.) et al., Arithmetic and geometry. Ten years in Alpbach. Princeton, NJ: Princeton University Press (ISBN 978-0-691-19378-6/hbk; 978-0-691-19377-9/pbk; 978-0-691-19754-8/ebook). Annals of Mathematics Studies 202, 102-174 (2019).
MSC:  11G50 11G40
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\textit{Z. Gao} et al., Ann. Math. Stud. 202, 102--174 (2019; Zbl 07274013)
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).
Reviewer: Reviewer (Berlin)
MSC:  11G20 14H10 14H40 14G15 14K10 14G10 11M38 14K22 11G10 14H30
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\textit{W. Li} et al., Assoc. Women Math. Ser. 19, 115--132 (2019; Zbl 1436.11069)
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Sutherland, Andrew V.
Sato-Tate distributions. (English) Zbl 1440.11176
Bucur, Alina (ed.) et al., Analytic methods in arithmetic geometry. Arizona winter school 2016, the University of Arizona, Tucson, AZ, USA, March 12–16, 2016. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM). Contemp. Math. 740, 197-248 (2019).
Reviewer: Reviewer (Berlin)
MSC:  11M50 11G10 11G20 14G10 14K15
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\textit{A. V. Sutherland}, Contemp. Math. 740, 197--248 (2019; Zbl 1440.11176)
Full Text: DOI
Bucur, Alina (ed.); Zureick-Brown, David (ed.)
Analytic methods in arithmetic geometry. Arizona winter school 2016, the University of Arizona, Tucson, AZ, USA, March 12–16, 2016. (English) Zbl 1435.11006
Contemporary Mathematics 740. Centre de Recherches Mathématiques Proceedings. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-3784-8/pbk; 978-1-4704-5629-0/ebook). vii, 248 p. (2019).
Reviewer: Reviewer (Berlin)
MSC:  11-06 11G05 11R45 20D60 05C25 11L03 11T23 11G10 11M50 14G10 00B25
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\textit{A. Bucur} (ed.) and \textit{D. Zureick-Brown} (ed.), Analytic methods in arithmetic geometry. Arizona winter school 2016, the University of Arizona, Tucson, AZ, USA, March 12--16, 2016. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (2019; Zbl 1435.11006)
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