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Tavares Ribeiro, Floric
On the Stark units of Drinfeld modules. (English) Zbl 07326608
Anglès, Bruno (ed.) et al., Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program “Arithmetic and geometry of local and global fields”, summer 2018, Hanoi, Vietnam. Cham: Springer (ISBN 978-3-030-66248-6/pbk; 978-3-030-66249-3/ebook). Lecture Notes in Mathematics 2275, 281-324 (2021).
MSC:  11Gxx 14Gxx 11Sxx
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\textit{F. Tavares Ribeiro}, Lect. Notes Math. 2275, 281--324 (2021; Zbl 07326608)
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Anglès, Bruno (ed.); Dac, Tuan Ngo (ed.)
Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program “Arithmetic and geometry of local and global fields”, summer 2018, Hanoi, Vietnam. (English) Zbl 07301621
Lecture Notes in Mathematics 2275. Cham: Springer (ISBN 978-3-030-66248-6/pbk; 978-3-030-66249-3/ebook). xvii, 326 p. (2021).
MSC:  11-06 14-06 11Gxx 14Gxx 11Sxx 00B25
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\textit{B. Anglès} (ed.) and \textit{T. N. Dac} (ed.), Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program ``Arithmetic and geometry of local and global fields'', summer 2018, Hanoi, Vietnam. Cham: Springer (2021; Zbl 07301621)
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Stacy, Emerald
Totally \(p\)-adic numbers of degree 3. (English) Zbl 07319979
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, 387-401 (2020).
MSC:  11Y40 11S20 11R06
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\textit{E. Stacy}, Open Book Ser. 4, 387--401 (2020; Zbl 07319979)
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Dwivedi, Ashish; Saxena, Nitin
Computing Igusa’s local zeta function of univariates in deterministic polynomial-time. (English) Zbl 07319968
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, 197-214 (2020).
MSC:  11S40 68Q01 68W30 11Y16 14G50
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\textit{A. Dwivedi} and \textit{N. Saxena}, Open Book Ser. 4, 197--214 (2020; Zbl 07319968)
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Madunts, A. I.
Hazewinkel functional lemma and classification of formal groups. (English. Russian original) Zbl 07311027
Vestn. St. Petersbg. Univ., Math. 53, No. 2, 155-161 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 245-253 (2020).
MSC:  14L05 11S31
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\textit{A. I. Madunts}, Vestn. St. Petersbg. Univ., Math. 53, No. 2, 155--161 (2020; Zbl 07311027); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 245--253 (2020)
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Vostokov, S. V.; Leonova, E. O.
Calculations in the generalized Lubin-Tate theory. (English. Russian original) Zbl 07311023
Vestn. St. Petersbg. Univ., Math. 53, No. 2, 131-135 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 210-216 (2020).
MSC:  11S31 11S15
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\textit{S. V. Vostokov} and \textit{E. O. Leonova}, Vestn. St. Petersbg. Univ., Math. 53, No. 2, 131--135 (2020; Zbl 07311023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 210--216 (2020)
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Ivanova, O. Yu.; Zhukov, I. B.
Comparison of classifications of two-dimensional local type II fields. (English. Russian original) Zbl 07310906
Vestn. St. Petersbg. Univ., Math. 53, No. 4, 412-423 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 607-621 (2020).
MSC:  11S15 12J25
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\textit{O. Yu. Ivanova} and \textit{I. B. Zhukov}, Vestn. St. Petersbg. Univ., Math. 53, No. 4, 412--423 (2020; Zbl 07310906); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 607--621 (2020)
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Demchenko, O. V.; Vostokov, S. V.
Torsion points of generalized Honda formal groups. (English. Russian original) Zbl 07310905
Vestn. St. Petersbg. Univ., Math. 53, No. 4, 404-411 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 597-606 (2020).
Reviewer: Kevin Keating (Gainesville)
MSC:  11S31 14L05
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\textit{O. V. Demchenko} and \textit{S. V. Vostokov}, Vestn. St. Petersbg. Univ., Math. 53, No. 4, 404--411 (2020; Zbl 07310905); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 597--606 (2020)
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Vlaskina, N. K.; Vostokov, S. V.; Pital’, P. N.; Tsybyshev, A. E.
Degree of irregularity and regular formal modules in local fields. (English. Russian original) Zbl 07310904
Vestn. St. Petersbg. Univ., Math. 53, No. 4, 398-403 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 588-596 (2020).
Reviewer: Mouad Moutaoukil (Fès)
MSC:  11S31 11S15
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\textit{N. K. Vlaskina} et al., Vestn. St. Petersbg. Univ., Math. 53, No. 4, 398--403 (2020; Zbl 07310904); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 588--596 (2020)
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Hiraoka, Yasuaki; Ochiai, Hiroyuki; Shirai, Tomoyuki
Zeta functions of periodic cubical lattices and cyclotomic-like polynomials. (English) Zbl 07283183
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, 93-121 (2020).
MSC:  11R09 11S40 05E45 05C50 58C40
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\textit{Y. Hiraoka} et al., Adv. Stud. Pure Math. 84, 93--121 (2020; Zbl 07283183)
Full Text: DOI Euclid
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).
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
Kindler, Lars; Rülling, Kay
Introductory course on \(\ell\)-adic sheaves and their ramification theory on curves. (English) Zbl 1455.11156
Ebrahimi-Fard, K. (ed.) et al., Amplitudes, Hodge theory and ramification. From periods and motives to Feynman amplitudes. Lectures presented at the Clay Mathematics Institute 2014 summer school, “Periods and Motives: Feynman amplitudes in the 21st century”, Madrid, Spain, June 30 – July 25, 2014. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute. Clay Math. Proc. 21, 103-229 (2020).
MSC:  11S15 14F20 14E22 14F06
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\textit{L. Kindler} and \textit{K. Rülling}, Clay Math. Proc. 21, 103--229 (2020; Zbl 1455.11156)
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Bloch, Spencer
Feynman integrals in mathematics and physics. (English) Zbl 1448.81325
Ebrahimi-Fard, K. (ed.) et al., Amplitudes, Hodge theory and ramification. From periods and motives to Feynman amplitudes. Lectures presented at the Clay Mathematics Institute 2014 summer school, “Periods and Motives: Feynman amplitudes in the 21st century”, Madrid, Spain, June 30 – July 25, 2014. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute. Clay Math. Proc. 21, 1-34 (2020).
MSC:  81Q30 14C15 11S15 81T30 14D05
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\textit{S. Bloch}, Clay Math. Proc. 21, 1--34 (2020; Zbl 1448.81325)
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Manin, Yuri I.
Foreword. (English) Zbl 1452.14004
Ebrahimi-Fard, K. (ed.) et al., Amplitudes, Hodge theory and ramification. From periods and motives to Feynman amplitudes. Lectures presented at the Clay Mathematics Institute 2014 summer school, “Periods and Motives: Feynman amplitudes in the 21st century”, Madrid, Spain, June 30 – July 25, 2014. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute. Clay Math. Proc. 21, xi-xiv (2020).
MSC:  14C15 11S15
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\textit{Y. I. Manin}, Clay Math. Proc. 21, xi-xiv (2020; Zbl 1452.14004)
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Ebrahimi-Fard, K. (ed.); Burgos Gil, J. I. (ed.); Manchon, D. (ed.)
Amplitudes, Hodge theory and ramification. From periods and motives to Feynman amplitudes. Lectures presented at the Clay Mathematics Institute 2014 summer school, “Periods and Motives: Feynman amplitudes in the 21st century”, Madrid, Spain, June 30 – July 25, 2014. (English) Zbl 1446.81001
Clay Mathematics Proceedings 21. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-1-4704-4329-0/pbk). xiv, 229 p. (2020).
MSC:  81-03 01A61 81Q30 81T18 14C15 14D07 11S15 00B25
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\textit{K. Ebrahimi-Fard} (ed.) et al., Amplitudes, Hodge theory and ramification. From periods and motives to Feynman amplitudes. Lectures presented at the Clay Mathematics Institute 2014 summer school, ``Periods and Motives: Feynman amplitudes in the 21st century'', Madrid, Spain, June 30 -- July 25, 2014. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (2020; Zbl 1446.81001)
Ghate, Eknath; Sheth, Mihir
On non-admissible irreducible modulo \(p\) representations of \(\text{GL}_2(\mathbb{Q}_{p^2})\). (Sur les représentations irréductibles non-admissibles modulo \(p\) de \(\text{GL}_2(\mathbb{Q}_{p^2})\).) (English. French summary) Zbl 07267924
C. R., Math., Acad. Sci. Paris 358, No. 5, 627-632 (2020).
Reviewer: Mouad Moutaoukil (Fès)
MSC:  11S37 22E50
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\textit{E. Ghate} and \textit{M. Sheth}, C. R., Math., Acad. Sci. Paris 358, No. 5, 627--632 (2020; Zbl 07267924)
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Morava, Jack
Operations on integral lifts of \(K(n)\). (English) Zbl 07261948
Ohsawa, Takeo (ed.) et al., Bousfield classes and Ohkawa’s theorem. Selected contributions given at the workshop, Nagoya, Japan, August 28–30, 2015. Singapore: Springer (ISBN 978-981-15-1587-3/hbk; 978-981-15-1588-0/ebook). Springer Proceedings in Mathematics & Statistics 309, 245-260 (2020).
MSC:  55N22 11S31 11S70 19D
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\textit{J. Morava}, in: Bousfield classes and Ohkawa's theorem. Selected contributions given at the workshop, Nagoya, Japan, August 28--30, 2015. Singapore: Springer. 245--260 (2020; Zbl 07261948)
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