Capuñay, Alex; Espinoza, Milton; Friedman, Eduardo Attractor-repeller construction of Shintani domains for totally complex quartic fields. (English) Zbl 07802058 J. Number Theory 258, 146-172 (2024). MSC: 11R42 11R27 11R16 11Y40 11R29 PDFBibTeX XMLCite \textit{A. Capuñay} et al., J. Number Theory 258, 146--172 (2024; Zbl 07802058) Full Text: DOI
Dasgupta, Samit; Kakde, Mahesh On the Brumer-Stark conjecture and refinements. (English) Zbl 07823042 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1768-1799 (2023). MSC: 11R37 11R42 PDFBibTeX XMLCite \textit{S. Dasgupta} and \textit{M. Kakde}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 3. Sections 1--4. Berlin: European Mathematical Society (EMS). 1768--1799 (2023; Zbl 07823042) Full Text: DOI arXiv OA License
Dasgupta, Samit Ranks of matrices of logarithms of algebraic numbers. I: The theorems of Baker and Waldschmidt-Masser. (English) Zbl 07789347 Essent. Number Theory 2, No. 1, 93-138 (2023). MSC: 11J81 PDFBibTeX XMLCite \textit{S. Dasgupta}, Essent. Number Theory 2, No. 1, 93--138 (2023; Zbl 07789347) Full Text: DOI arXiv
Maksoud, Alexandre On the rank of Leopoldt’s and Gross’s regulator maps. (English) Zbl 07787221 Doc. Math. 28, No. 6, 1441-1471 (2023). MSC: 11R27 11R23 PDFBibTeX XMLCite \textit{A. Maksoud}, Doc. Math. 28, No. 6, 1441--1471 (2023; Zbl 07787221) Full Text: DOI arXiv
Salch, Andrew Denominators of special values of \(\zeta\)-functions count \(KU\)-local homotopy groups of mod \(p\) Moore spectra. (English) Zbl 1528.11077 Rocky Mt. J. Math. 53, No. 3, 915-935 (2023). MSC: 11M06 11R42 55Q10 55Q45 55Q51 PDFBibTeX XMLCite \textit{A. Salch}, Rocky Mt. J. Math. 53, No. 3, 915--935 (2023; Zbl 1528.11077) Full Text: DOI arXiv Link
Bannai, Kenichi; Hagihara, Kei; Yamada, Kazuki; Yamamoto, Shuji Canonical equivariant cohomology classes generating zeta values of totally real fields. (English) Zbl 07687336 Trans. Am. Math. Soc., Ser. B 10, 613-635 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 11M35 11R42 14L15 55N91 PDFBibTeX XMLCite \textit{K. Bannai} et al., Trans. Am. Math. Soc., Ser. B 10, 613--635 (2023; Zbl 07687336) Full Text: DOI arXiv
Honnor, Matthew H. Comparing two formulas for the Gross-Stark units. (English) Zbl 1525.11136 J. Number Theory 248, 368-419 (2023). Reviewer: Anton Deitmar (Tübingen) MSC: 11R42 11R27 PDFBibTeX XMLCite \textit{M. H. Honnor}, J. Number Theory 248, 368--419 (2023; Zbl 1525.11136) Full Text: DOI arXiv
Li, Jianing; Ouyang, Yi; Xu, Yue On abelian 2-ramification torsion modules of quadratic fields. (English) Zbl 1512.11086 Sci. China, Math. 65, No. 12, 2459-2482 (2022). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R45 11R11 11R37 PDFBibTeX XMLCite \textit{J. Li} et al., Sci. China, Math. 65, No. 12, 2459--2482 (2022; Zbl 1512.11086) Full Text: DOI arXiv
Bannai, Kenichi; Hagihara, Kei; Yamada, Kazuki; Yamamoto, Shuji \(p\)-adic polylogarithms and \(p\)-adic Hecke \(L\)-functions for totally real fields. (English) Zbl 1507.11108 J. Reine Angew. Math. 791, 53-87 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11S40 11R42 19F27 PDFBibTeX XMLCite \textit{K. Bannai} et al., J. Reine Angew. Math. 791, 53--87 (2022; Zbl 1507.11108) Full Text: DOI arXiv
Nickel, Andreas On the \(p\)-adic Beilinson conjecture and the equivariant Tamagawa number conjecture. (English) Zbl 1485.11157 Sel. Math., New Ser. 28, No. 1, Paper No. 3, 39 p. (2022). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R23 11R42 PDFBibTeX XMLCite \textit{A. Nickel}, Sel. Math., New Ser. 28, No. 1, Paper No. 3, 39 p. (2022; Zbl 1485.11157) Full Text: DOI arXiv
Coates, John; Li, Jianing; Li, Yongxiong Classical Iwasawa theory and infinite descent on a family of abelian varieties. (English) Zbl 1476.11136 Sel. Math., New Ser. 27, No. 2, Paper No. 28, 36 p. (2021). Reviewer: Andreas Nickel (Essen) MSC: 11R23 11G10 11G05 11R29 PDFBibTeX XMLCite \textit{J. Coates} et al., Sel. Math., New Ser. 27, No. 2, Paper No. 28, 36 p. (2021; Zbl 1476.11136) Full Text: DOI arXiv
Benmerieme, Y.; Movahhedi, A. Multi-quadratic \(p\)-rational number fields. (English) Zbl 1470.11290 J. Pure Appl. Algebra 225, No. 9, Article ID 106657, 17 p. (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R32 11R11 11R20 11R23 11R42 PDFBibTeX XMLCite \textit{Y. Benmerieme} and \textit{A. Movahhedi}, J. Pure Appl. Algebra 225, No. 9, Article ID 106657, 17 p. (2021; Zbl 1470.11290) Full Text: DOI arXiv
Johnston, Henri; Nickel, Andreas On the \(p\)-adic Stark conjecture at \(s=1\) and applications. (English) Zbl 1458.11153 J. Lond. Math. Soc., II. Ser. 101, No. 3, 1320-1354 (2020). Reviewer: Thong Nguyen Quang Do (Besançon) (MR4111943) MSC: 11R23 11R42 PDFBibTeX XMLCite \textit{H. Johnston} and \textit{A. Nickel}, J. Lond. Math. Soc., II. Ser. 101, No. 3, 1320--1354 (2020; Zbl 1458.11153) Full Text: DOI arXiv
Ferrara, Joseph W. A \(p\)-adic Stark conjecture in the rank one setting. (English) Zbl 1479.11199 Acta Arith. 193, No. 4, 369-417 (2020). Reviewer: Riccardo Pengo (Lyon) MSC: 11R42 11F67 11M38 PDFBibTeX XMLCite \textit{J. W. Ferrara}, Acta Arith. 193, No. 4, 369--417 (2020; Zbl 1479.11199) Full Text: DOI arXiv
Espinoza, Milton; Friedman, Eduardo Twisters and signed fundamental domains for number fields. (Des twisters et des domaines fondamentaux signés dans des corps de nombres.) (English. French summary) Zbl 1446.11201 Ann. Inst. Fourier 70, No. 2, 479-521 (2020). Reviewer: Günter Lettl (Graz) MSC: 11R42 11Y40 PDFBibTeX XMLCite \textit{M. Espinoza} and \textit{E. Friedman}, Ann. Inst. Fourier 70, No. 2, 479--521 (2020; Zbl 1446.11201) Full Text: DOI arXiv
Mercuri, Salvatore The \(p\)-adic \(L\)-function for half-integral weight modular forms. (English) Zbl 1470.11099 Manuscr. Math. 161, No. 1-2, 61-91 (2020). MSC: 11F37 11F66 11F85 PDFBibTeX XMLCite \textit{S. Mercuri}, Manuscr. Math. 161, No. 1--2, 61--91 (2020; Zbl 1470.11099) Full Text: DOI
Gras, Georges Ideal norms in the cyclotomic tower and Greenberg’s conjecture. (Normes d’idéaux dans la tour cyclotomique et conjecture de Greenberg.) (French. English summary) Zbl 1464.11115 Ann. Math. Qué. 43, No. 2, 249-280 (2019). MSC: 11R23 11R29 11R37 11Y40 PDFBibTeX XMLCite \textit{G. Gras}, Ann. Math. Qué. 43, No. 2, 249--280 (2019; Zbl 1464.11115) Full Text: DOI arXiv
Gras, Georges Heuristics and conjectures in the direction of a \(p\)-adic Brauer-Siegel theorem. (English) Zbl 1467.11109 Math. Comput. 88, No. 318, 1929-1965 (2019). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11S40 11R37 11R29 11R42 PDFBibTeX XMLCite \textit{G. Gras}, Math. Comput. 88, No. 318, 1929--1965 (2019; Zbl 1467.11109) Full Text: DOI arXiv
Rosso, Giovanni Derivative at \(s = 1\) of the \(p\)-adic \(L\)-function of the symmetric square of a Hilbert modular form. (English) Zbl 1417.11077 Isr. J. Math. 215, No. 1, 255-315 (2016). MSC: 11F66 11F41 11F85 PDFBibTeX XMLCite \textit{G. Rosso}, Isr. J. Math. 215, No. 1, 255--315 (2016; Zbl 1417.11077) Full Text: DOI arXiv
Roblot, Xavier-François Computing \(p\)-adic \(L\)-functions of totally real number fields. (English) Zbl 1333.11106 Math. Comput. 84, No. 292, 831-874 (2015). Reviewer: Radan Kučera (Brno) MSC: 11R42 11Y40 PDFBibTeX XMLCite \textit{X.-F. Roblot}, Math. Comput. 84, No. 292, 831--874 (2015; Zbl 1333.11106) Full Text: DOI arXiv
Espinoza, Milton Signed Shintani cones for number fields with one complex place. (English) Zbl 1307.11119 J. Number Theory 145, 496-539 (2014). Reviewer: Roland Quême (Brax) MSC: 11R27 11R42 11Y40 PDFBibTeX XMLCite \textit{M. Espinoza}, J. Number Theory 145, 496--539 (2014; Zbl 1307.11119) Full Text: DOI arXiv
Spiess, Michael Shintani cocycles and the order of vanishing of \(p\)-adic Hecke \(L\)-series at \(s=0\). (English) Zbl 1307.11125 Math. Ann. 359, No. 1-2, 239-265 (2014). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11S40 11R23 11R80 PDFBibTeX XMLCite \textit{M. Spiess}, Math. Ann. 359, No. 1--2, 239--265 (2014; Zbl 1307.11125) Full Text: DOI arXiv
Diaz y Diaz, Francisco; Friedman, Eduardo Colmez cones for fundamental units of totally real cubic fields. (English) Zbl 1257.11097 J. Number Theory 132, No. 8, 1653-1663 (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{F. Diaz y Diaz} and \textit{E. Friedman}, J. Number Theory 132, No. 8, 1653--1663 (2012; Zbl 1257.11097) Full Text: DOI
Roblot, Xavier-François; Weiss, Alfred Numerical evidence toward a 2-adic equivariant “Main Conjecture”. (English) Zbl 1312.11087 Exp. Math. 20, No. 2, 169-176 (2011). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11R23 11R70 11-04 PDFBibTeX XMLCite \textit{X.-F. Roblot} and \textit{A. Weiss}, Exp. Math. 20, No. 2, 169--176 (2011; Zbl 1312.11087) Full Text: DOI arXiv Euclid
Dasgupta, Samit; Darmon, Henri; Pollack, Robert Hilbert modular forms and the Gross-Stark conjecture. (English) Zbl 1250.11099 Ann. Math. (2) 174, No. 1, 439-484 (2011). Reviewer: David Loeffler (Coventry) MSC: 11R42 11F41 11F85 PDFBibTeX XMLCite \textit{S. Dasgupta} et al., Ann. Math. (2) 174, No. 1, 439--484 (2011; Zbl 1250.11099) Full Text: DOI
Dasgupta, Samit Shintani zeta functions and Gross-Stark units for totally real fields. (English) Zbl 1235.11102 Duke Math. J. 143, No. 2, 225-279 (2008). MSC: 11R42 11R37 11R80 PDFBibTeX XMLCite \textit{S. Dasgupta}, Duke Math. J. 143, No. 2, 225--279 (2008; Zbl 1235.11102) Full Text: DOI Link
Solomon, David On twisted zeta-functions at \(s=0\) and partial zeta-functions at \(s=1\). (English) Zbl 1195.11149 J. Number Theory 128, No. 1, 105-143 (2008). Reviewer: Chun-Gang Ji (Nanjing) MSC: 11R42 PDFBibTeX XMLCite \textit{D. Solomon}, J. Number Theory 128, No. 1, 105--143 (2008; Zbl 1195.11149) Full Text: DOI
Oh, Jangheon \(L_p(1,\chi)\bmod p\). (English) Zbl 1046.11080 Proc. Japan Acad., Ser. A 79, No. 1, 11-13 (2003). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11R23 11S40 PDFBibTeX XMLCite \textit{J. Oh}, Proc. Japan Acad., Ser. A 79, No. 1, 11--13 (2003; Zbl 1046.11080) Full Text: DOI Euclid
Solomon, David \(p\)-adic Abelian Stark conjectures at \(s=1\). (English) Zbl 1039.11081 Ann. Inst. Fourier 52, No. 2, 379-417 (2002). MSC: 11R42 11R33 11S40 PDFBibTeX XMLCite \textit{D. Solomon}, Ann. Inst. Fourier 52, No. 2, 379--417 (2002; Zbl 1039.11081) Full Text: DOI Numdam EuDML
Taya, Hisao On \(p\)-adic zeta functions and \(\mathbb{Z}_p\)-extensions of certain totally real number fields. (English) Zbl 0943.11049 Tohoku Math. J., II. Ser. 51, No. 1, 21-33 (1999). Reviewer: T.Metsänkylä (Turku) MSC: 11R23 11R42 11R29 11R80 PDFBibTeX XMLCite \textit{H. Taya}, Tôhoku Math. J. (2) 51, No. 1, 21--33 (1999; Zbl 0943.11049) Full Text: DOI
Hida, Haruzo On the search of genuine \(p\)-adic modular \(L\)-functions for \(GL(n)\). With a correction to: On \(p\)-adic \(L\)-functions of \(GL(2)\times{}GL(2)\) over totally real fields. (English) Zbl 0897.11015 Mém. Soc. Math. Fr., Nouv. Sér. 67, vi, 110 p. (1996). Reviewer: A.Dabrowski (Szczecin) MSC: 11F33 11-02 11S40 11F67 11F85 PDFBibTeX XMLCite \textit{H. Hida}, Mém. Soc. Math. Fr., Nouv. Sér. 67, vi, 110 p. (1996; Zbl 0897.11015) Full Text: DOI Numdam EuDML
Imai, Hideo Values of \(p\)-adic \(L\)-functions at positive integers and \(p\)-adic log multiple gamma functions. (English) Zbl 0809.11067 Tôhoku Math. J., II. Ser. 45, No. 4, 505-510 (1993). Reviewer: J.Jones (Tempe) MSC: 11R23 11R42 11S80 PDFBibTeX XMLCite \textit{H. Imai}, Tôhoku Math. J. (2) 45, No. 4, 505--510 (1993; Zbl 0809.11067) Full Text: DOI
Colmez, Pierre; Schneps, Leila \(p\)-adic interpolation of special values of Hecke L-functions. (English) Zbl 0777.11049 Compos. Math. 82, No. 2, 143-187 (1992). Reviewer: W.Kohnen (Bonn) MSC: 11S40 11S80 14G20 PDFBibTeX XMLCite \textit{P. Colmez} and \textit{L. Schneps}, Compos. Math. 82, No. 2, 143--187 (1992; Zbl 0777.11049) Full Text: Numdam EuDML
Hida, Haruzo On \(p\)-adic L-functions of \(GL(2)\times GL(2)\) over totally real fields. (English) Zbl 0725.11025 Ann. Inst. Fourier 41, No. 2, 311-391 (1991). Reviewer: H.Hida (Los Angeles) MSC: 11F67 11F70 11F85 11F33 11F41 PDFBibTeX XMLCite \textit{H. Hida}, Ann. Inst. Fourier 41, No. 2, 311--391 (1991; Zbl 0725.11025) Full Text: DOI EuDML
Hida, Haruzo On \(p\)-adic \(L\)-functions of \(GL(2) \times{} GL(2)\) over totally real fields. (English) Zbl 0739.11019 Ann. Inst. Fourier 41, No. 2, 311-322 (1991). MSC: 11F67 11F70 11F85 11F33 11F41 11S40 PDFBibTeX XMLCite \textit{H. Hida}, Ann. Inst. Fourier 41, No. 2, 311--322 (1991; Zbl 0739.11019) Full Text: DOI Numdam EuDML
Colmez, P. Algebraicity of special values of \(L\)-functions. (Algébricité de valeurs spéciales de fonctions \(L\).) (French) Zbl 0666.12008 Invent. Math. 95, No. 1, 161-205 (1989). Reviewer: Avner Ash (Columbus, OH) MSC: 11R42 11J81 PDFBibTeX XMLCite \textit{P. Colmez}, Invent. Math. 95, No. 1, 161--205 (1989; Zbl 0666.12008) Full Text: DOI EuDML