Lemma, Francesco; Ochiai, Tadashi Endoscopic congruences modulo adjoint \(L\)-values for \(\mathrm{GSp}(4)\). (English) Zbl 07684568 Kyoto J. Math. 63, No. 2, 281-333 (2023). Reviewer: Marcela Hanzer (Zagreb) MSC: 11F33 11F46 11F67 11F75 PDF BibTeX XML Cite \textit{F. Lemma} and \textit{T. Ochiai}, Kyoto J. Math. 63, No. 2, 281--333 (2023; Zbl 07684568) Full Text: DOI arXiv Link
Kwon, Jaesung Bianchi modular symbols and \(p\)-adic \(L\)-functions. (English) Zbl 07679882 J. Number Theory 249, 274-313 (2023). MSC: 11F67 11F12 PDF BibTeX XML Cite \textit{J. Kwon}, J. Number Theory 249, 274--313 (2023; Zbl 07679882) Full Text: DOI arXiv
Bertram, Noah; Deng, Xiantao; Haessig, C. Douglas; Li, Yan Partial zeta functions, partial exponential sums, and \(p\)-adic estimates. (English) Zbl 07661796 Finite Fields Appl. 87, Article ID 102139, 18 p. (2023). MSC: 11T23 11L07 11G20 11M38 PDF BibTeX XML Cite \textit{N. Bertram} et al., Finite Fields Appl. 87, Article ID 102139, 18 p. (2023; Zbl 07661796) Full Text: DOI arXiv
Dall’Ava, Luca Approximations of the balanced triple product \(p\)-adic \(L\)-function. (English) Zbl 1512.11048 J. Number Theory 246, 189-226 (2023). Reviewer: Sami Omar (Sukhair) MSC: 11F67 11R52 11Y16 PDF BibTeX XML Cite \textit{L. Dall'Ava}, J. Number Theory 246, 189--226 (2023; Zbl 1512.11048) Full Text: DOI arXiv
Palacios, Luis Santiago Functional equation of the \(p\)-adic \(L\)-function of Bianchi modular forms. (English) Zbl 1507.11044 J. Number Theory 242, 725-753 (2023). MSC: 11F67 11F33 11F55 11F41 PDF BibTeX XML Cite \textit{L. S. Palacios}, J. Number Theory 242, 725--753 (2023; Zbl 1507.11044) 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 PDF BibTeX XML Cite \textit{K. Bannai} et al., J. Reine Angew. Math. 791, 53--87 (2022; Zbl 1507.11108) Full Text: DOI arXiv
Wang, Chunlin; Yang, Liping Newton polygons for \(L\)-functions of generalized Kloosterman sums. (English) Zbl 1520.11074 Forum Math. 34, No. 1, 77-96 (2022). MSC: 11L05 14F30 11T23 11S40 14D10 14G15 PDF BibTeX XML Cite \textit{C. Wang} and \textit{L. Yang}, Forum Math. 34, No. 1, 77--96 (2022; Zbl 1520.11074) Full Text: DOI arXiv
Betina, Adel; Dimitrov, Mladen A geometric view on Iwasawa theory. (English. French summary) Zbl 1497.11115 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 703-731 (2022). MSC: 11F33 11R23 11F80 PDF BibTeX XML Cite \textit{A. Betina} and \textit{M. Dimitrov}, J. Théor. Nombres Bordx. 33, No. 3, Part 1, 703--731 (2022; Zbl 1497.11115) Full Text: DOI arXiv
Hida, Haruzo Elementary modular Iwasawa theory. (English) Zbl 1505.11002 Series on Number Theory and Its Applications 16. Singapore: World Scientific (ISBN 978-981-12-4136-9/hbk; 978-981-12-4138-3/ebook). xviii, 427 p. (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11-02 11R23 11F67 11F33 11F80 PDF BibTeX XML Cite \textit{H. Hida}, Elementary modular Iwasawa theory. Singapore: World Scientific (2022; Zbl 1505.11002) Full Text: DOI
Jo, Yeongseong Rankin-Selberg integrals for local symmetric square factors on \(\mathrm{GL}(2)\). (English) Zbl 07738347 Mathematika 67, No. 2, 388-421 (2021). MSC: 11F70 11F66 11F85 22E50 PDF BibTeX XML Cite \textit{Y. Jo}, Mathematika 67, No. 2, 388--421 (2021; Zbl 07738347) Full Text: DOI arXiv
Atsuta, Mahiro Iwasa theory for \(p=2\). (Japanese. English summary) Zbl 1499.11334 RIMS Kôkyûroku Bessatsu B86, 21-30 (2021). MSC: 11R23 PDF BibTeX XML Cite \textit{M. Atsuta}, RIMS Kôkyûroku Bessatsu B86, 21--30 (2021; Zbl 1499.11334) Full Text: Link
Shih, Sheng-Chi; Wang, Jun On Sharifi’s conjecture: exceptional case. (English) Zbl 1499.11340 Trans. Am. Math. Soc. 374, No. 12, 8531-8546 (2021). MSC: 11R23 11F33 11F80 11R34 11S25 PDF BibTeX XML Cite \textit{S.-C. Shih} and \textit{J. Wang}, Trans. Am. Math. Soc. 374, No. 12, 8531--8546 (2021; Zbl 1499.11340) Full Text: DOI arXiv
Harris, Michael Square root \(p\)-adic \(L\)-functions. I: Construction of a one-variable measure. (English) Zbl 1483.11109 Tunis. J. Math. 3, No. 4, 657-688 (2021). MSC: 11F85 11F67 11G18 11R23 22E47 PDF BibTeX XML Cite \textit{M. Harris}, Tunis. J. Math. 3, No. 4, 657--688 (2021; Zbl 1483.11109) Full Text: DOI arXiv
Haessig, C. Douglas Kloosterman sums and Hecke polynomials in characteristics 2 and 3. (English) Zbl 1475.11142 Finite Fields Appl. 76, Article ID 101896, 14 p. (2021). MSC: 11L05 11S70 11T23 PDF BibTeX XML Cite \textit{C. D. Haessig}, Finite Fields Appl. 76, Article ID 101896, 14 p. (2021; Zbl 1475.11142) Full Text: DOI arXiv
Barrera Salazar, Daniel; Williams, Chris Families of Bianchi modular symbols: critical base-change \(p\)-adic \(L\)-functions and \(p\)-adic Artin formalism. (English) Zbl 1480.11054 Sel. Math., New Ser. 27, No. 5, Paper No. 82, 45 p. (2021). MSC: 11F41 11F67 11F85 11S40 11M41 PDF BibTeX XML Cite \textit{D. Barrera Salazar} and \textit{C. Williams}, Sel. Math., New Ser. 27, No. 5, Paper No. 82, 45 p. (2021; Zbl 1480.11054) Full Text: DOI arXiv
Rivero, Óscar The exceptional zero phenomenon for elliptic units. (English) Zbl 1479.11077 Rev. Mat. Iberoam. 37, No. 4, 1333-1364 (2021). MSC: 11F67 11G16 PDF BibTeX XML Cite \textit{Ó. Rivero}, Rev. Mat. Iberoam. 37, No. 4, 1333--1364 (2021; Zbl 1479.11077) Full Text: DOI arXiv
Ding, Yi Wen A note on critical \(p\)-adic \(L\)-functions. (English) Zbl 1470.11120 Acta Math. Sin., Engl. Ser. 37, No. 1, 121-141 (2021). MSC: 11F67 11S80 PDF BibTeX XML Cite \textit{Y. W. Ding}, Acta Math. Sin., Engl. Ser. 37, No. 1, 121--141 (2021; Zbl 1470.11120) Full Text: DOI arXiv
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
Kim, Min-Soo Generalized Euler power series. (English) Zbl 1499.11110 J. Appl. Math. Inform. 38, No. 5-6, 591-600 (2020). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{M.-S. Kim}, J. Appl. Math. Inform. 38, No. 5--6, 591--600 (2020; Zbl 1499.11110) Full Text: DOI
Loeffler, David; Zerbes, Sarah Livia Euler systems with local conditions. (English) Zbl 1469.11159 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, 1-26 (2020). MSC: 11F80 11R23 PDF BibTeX XML Cite \textit{D. Loeffler} and \textit{S. L. Zerbes}, Adv. Stud. Pure Math. 86, 1--26 (2020; Zbl 1469.11159) Full Text: DOI arXiv
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
Chen, Chao Hasse polynomials of \(L\)-functions of certain exponential sums. (English) Zbl 1456.11230 Finite Fields Appl. 68, Article ID 101736, 19 p. (2020). MSC: 11T23 11S40 11L07 PDF BibTeX XML Cite \textit{C. Chen}, Finite Fields Appl. 68, Article ID 101736, 19 p. (2020; Zbl 1456.11230) Full Text: DOI arXiv
Hu, Yueke; Saha, Abhishek Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces. II: Newforms and subconvexity. (English) Zbl 1477.11101 Compos. Math. 156, No. 11, 2368-2398 (2020). Reviewer: Marcela Hanzer (Zagreb) MSC: 11F70 11F12 11F66 11F67 11F72 11F85 22E50 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{A. Saha}, Compos. Math. 156, No. 11, 2368--2398 (2020; Zbl 1477.11101) Full Text: DOI arXiv
Özbek, Selin Selen; Cenkci, Mehmet A construction of \(p\)-adic Hurwitz-Lerch \(L\)-function. (English) Zbl 1469.11360 Abh. Math. Semin. Univ. Hamb. 90, No. 1, 85-98 (2020). MSC: 11M41 11M35 11B68 11A07 PDF BibTeX XML Cite \textit{S. S. Özbek} and \textit{M. Cenkci}, Abh. Math. Semin. Univ. Hamb. 90, No. 1, 85--98 (2020; Zbl 1469.11360) Full Text: DOI
Loeffler, David; Williams, Chris \(p\)-adic Asai \(L\)-functions of Bianchi modular forms. (English) Zbl 1469.11137 Algebra Number Theory 14, No. 7, 1669-1710 (2020). MSC: 11F67 11F41 11F85 11M41 11S40 PDF BibTeX XML Cite \textit{D. Loeffler} and \textit{C. Williams}, Algebra Number Theory 14, No. 7, 1669--1710 (2020; Zbl 1469.11137) Full Text: DOI arXiv
Lin, Xianzu \(p\)-adic \(L\)-functions and classical congruences. (English) Zbl 1453.11001 Acta Arith. 194, No. 1, 29-49 (2020). Reviewer: Mouad Moutaoukil (Fès) MSC: 11A07 11B68 11B65 11S40 PDF BibTeX XML Cite \textit{X. Lin}, Acta Arith. 194, No. 1, 29--49 (2020; Zbl 1453.11001) 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 PDF BibTeX XML Cite \textit{J. W. Ferrara}, Acta Arith. 193, No. 4, 369--417 (2020; Zbl 1479.11199) Full Text: DOI arXiv
Kahn, Bruno Zeta and \(L\)-functions of varieties and motives. Translated from the French. (English) Zbl 1502.14003 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: Nikolaj M. Glazunov (Kyïv) MSC: 14-02 11-02 11G40 11M38 11R42 11R59 14F30 14F42 14G10 19F27 PDF BibTeX XML Cite \textit{B. Kahn}, Zeta and \(L\)-functions of varieties and motives. Translated from the French. Cambridge: Cambridge University Press (2020; Zbl 1502.14003) Full Text: DOI
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 PDF BibTeX XML Cite \textit{S. Mercuri}, Manuscr. Math. 161, No. 1--2, 61--91 (2020; Zbl 1470.11099) Full Text: DOI
Glazunov, Nikolaĭ Mikhaĭlovich \(p\)-adic \(L\)-functions and \(p\)-adic multiple zeta values. (English) Zbl 1441.11218 Chebyshevskiĭ Sb. 20, No. 1(69), 112-130 (2019). MSC: 11M32 11M38 PDF BibTeX XML Cite \textit{N. M. Glazunov}, Chebyshevskiĭ Sb. 20, No. 1(69), 112--130 (2019; Zbl 1441.11218) Full Text: arXiv MNR
Luo, Zhilin On the Braverman-Kazhdan proposal for local factors: spherical case. (English) Zbl 1457.11062 Pac. J. Math. 300, No. 2, 431-471 (2019). MSC: 11F70 22E45 22E35 PDF BibTeX XML Cite \textit{Z. Luo}, Pac. J. Math. 300, No. 2, 431--471 (2019; Zbl 1457.11062) Full Text: DOI arXiv
Alharbi, Nof; Kammoun, Rania; Ozel, Cenap \(p\)-adic zeroes of the Kubota-Leopoldt zeta-function. (English) Zbl 1440.11220 \(p\)-Adic Numbers Ultrametric Anal. Appl. 11, No. 4, 255-269 (2019). MSC: 11S40 11S80 PDF BibTeX XML Cite \textit{N. Alharbi} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 11, No. 4, 255--269 (2019; Zbl 1440.11220) Full Text: DOI
Dion, Cédric; Sprung, Florian Consequences of functional equations for pairs of \(p\)-adic \(L\)-functions. (English) Zbl 1469.11459 Abh. Math. Semin. Univ. Hamb. 89, No. 2, 203-208 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11S40 11R23 11G40 PDF BibTeX XML Cite \textit{C. Dion} and \textit{F. Sprung}, Abh. Math. Semin. Univ. Hamb. 89, No. 2, 203--208 (2019; Zbl 1469.11459) Full Text: DOI arXiv
Rivero, Óscar; Rotger, Victor Beilinson-Flach elements, Stark units and \(p\)-adic iterated integrals. (English) Zbl 1470.11168 Forum Math. 31, No. 6, 1517-1531 (2019). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{Ó. Rivero} and \textit{V. Rotger}, Forum Math. 31, No. 6, 1517--1531 (2019; Zbl 1470.11168) Full Text: DOI
Barrera Salazar, Daniel; Williams, Chris \(p\)-adic \(L\)-functions for \(\mathrm{GL}_2\). (English) Zbl 1470.11103 Can. J. Math. 71, No. 5, 1019-1059 (2019). MSC: 11F41 11F67 11F85 11S40 11M41 PDF BibTeX XML Cite \textit{D. Barrera Salazar} and \textit{C. Williams}, Can. J. Math. 71, No. 5, 1019--1059 (2019; Zbl 1470.11103) Full Text: DOI arXiv
Ochiai, Tadashi; Shimomoto, Kazuma Specialization method in Krull dimension two and Euler system theory over normal deformation rings. (English. French summary) Zbl 1472.11135 Ann. Math. Qué. 43, No. 2, 357-409 (2019). MSC: 11F33 11F67 11F80 11R23 11R34 13H10 13N05 PDF BibTeX XML Cite \textit{T. Ochiai} and \textit{K. Shimomoto}, Ann. Math. Qué. 43, No. 2, 357--409 (2019; Zbl 1472.11135) Full Text: DOI arXiv
Lei, Antonio; Palvannan, Bharathwaj Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction. (English) Zbl 1456.11212 Forum Math. Sigma 7, Paper No. e25, 81 p. (2019). Reviewer: Wei Feng (Beijing) MSC: 11R23 11G05 11G07 11R34 11S25 PDF BibTeX XML Cite \textit{A. Lei} and \textit{B. Palvannan}, Forum Math. Sigma 7, Paper No. e25, 81 p. (2019; Zbl 1456.11212) Full Text: DOI arXiv
Molina, Santiago Anticyclotomic \(p\)-adic \(L\)-functions and the exceptional zero phenomenon. (English) Zbl 1472.11291 Trans. Am. Math. Soc. 372, No. 4, 2659-2714 (2019). MSC: 11S40 11F75 PDF BibTeX XML Cite \textit{S. Molina}, Trans. Am. Math. Soc. 372, No. 4, 2659--2714 (2019; Zbl 1472.11291) Full Text: DOI arXiv
Beuzart-Plessis, Raphaël; Wan, Chen A local trace formula for the generalized Shalika model. (English) Zbl 1426.22011 Duke Math. J. 168, No. 7, 1303-1385 (2019). Reviewer: Zhengyu Mao (Newark) MSC: 22E50 11F72 11F70 PDF BibTeX XML Cite \textit{R. Beuzart-Plessis} and \textit{C. Wan}, Duke Math. J. 168, No. 7, 1303--1385 (2019; Zbl 1426.22011) Full Text: DOI arXiv Euclid
Ota, Kazuto On the Mazur-Tate refined conjecture of BSD type. (Japanese. English summary) Zbl 1423.11117 RIMS Kôkyûroku Bessatsu B72, 119-133 (2018). MSC: 11G40 11G05 11R34 PDF BibTeX XML Cite \textit{K. Ota}, RIMS Kôkyûroku Bessatsu B72, 119--133 (2018; Zbl 1423.11117)
Palvannan, Bharathwaj On Selmer groups and factoring \(p\)-adic \(L\)-functions. (English) Zbl 1459.11213 Int. Math. Res. Not. 2018, No. 24, 7483-7554 (2018). MSC: 11R23 11F33 11F80 PDF BibTeX XML Cite \textit{B. Palvannan}, Int. Math. Res. Not. 2018, No. 24, 7483--7554 (2018; Zbl 1459.11213) Full Text: DOI arXiv
Kim, Min-Soo On \(p\)-adic Euler \(L\)-function of two variables. (English) Zbl 1442.11043 J. Appl. Math. Inform. 36, No. 5-6, 369-379 (2018). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{M.-S. Kim}, J. Appl. Math. Inform. 36, No. 5--6, 369--379 (2018; Zbl 1442.11043) Full Text: DOI
Loeffler, David A note on \(p\)-adic Rankin-Selberg \(L\)-functions. (English) Zbl 1441.11136 Can. Math. Bull. 61, No. 3, 608-621 (2018). MSC: 11F85 11F67 11G40 14G35 PDF BibTeX XML Cite \textit{D. Loeffler}, Can. Math. Bull. 61, No. 3, 608--621 (2018; Zbl 1441.11136) Full Text: DOI arXiv
Liu, Yifeng; Zhang, Shouwu; Zhang, Wei A \(p\)-adic Waldspurger formula. (English) Zbl 1444.11143 Duke Math. J. 167, No. 4, 743-833 (2018). Reviewer: Riccardo Pengo (København) MSC: 11G40 11F67 11G18 11J95 PDF BibTeX XML Cite \textit{Y. Liu} et al., Duke Math. J. 167, No. 4, 743--833 (2018; Zbl 1444.11143) Full Text: DOI arXiv
Hung, Pin-Chi On the derivative of anticyclotomic \(p\)-adic \(L\)-functions for Hilbert modular forms. (English) Zbl 1440.11221 Int. J. Number Theory 14, No. 3, 615-630 (2018). MSC: 11S40 PDF BibTeX XML Cite \textit{P.-C. Hung}, Int. J. Number Theory 14, No. 3, 615--630 (2018; Zbl 1440.11221) Full Text: DOI
Venkat, Guhan Darmon cycles and the Kohnen-Shintani lifting. (English) Zbl 1417.11084 Trans. Am. Math. Soc. 370, No. 6, 4059-4087 (2018). MSC: 11F67 11F32 11F37 11F85 11G40 PDF BibTeX XML Cite \textit{G. Venkat}, Trans. Am. Math. Soc. 370, No. 6, 4059--4087 (2018; Zbl 1417.11084) Full Text: DOI Link
Xiang, Li The stable property of Newton slopes for general Witt towers. (English) Zbl 1405.11084 J. Number Theory 185, 144-159 (2018). MSC: 11G20 11R23 11T23 11F33 PDF BibTeX XML Cite \textit{L. Xiang}, J. Number Theory 185, 144--159 (2018; Zbl 1405.11084) Full Text: DOI arXiv
Furusho, Hidekazu; Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of \(p\)-adic multiple \(L\)-functions at arbitrary integers. (English) Zbl 1421.11067 RIMS Kôkyûroku Bessatsu B68, 27-66 (2017). MSC: 11M32 11S40 11G55 PDF BibTeX XML Cite \textit{H. Furusho} et al., RIMS Kôkyûroku Bessatsu B68, 27--66 (2017; Zbl 1421.11067) Full Text: arXiv
Anandavardhanan, U. K.; Matringe, Nadir Test vectors for local periods. (English) Zbl 1416.22016 Forum Math. 29, No. 6, 1245-1260 (2017). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 22E50 11F33 11F70 11F85 PDF BibTeX XML Cite \textit{U. K. Anandavardhanan} and \textit{N. Matringe}, Forum Math. 29, No. 6, 1245--1260 (2017; Zbl 1416.22016) Full Text: DOI arXiv
Burungale, Ashay; Hida, Haruzo \(\mathfrak p\)-rigidity and Iwasawa \(\mu\)-invariants. (English) Zbl 1405.11083 Algebra Number Theory 11, No. 8, 1921-1951 (2017). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11G18 19F27 11R23 PDF BibTeX XML Cite \textit{A. Burungale} and \textit{H. Hida}, Algebra Number Theory 11, No. 8, 1921--1951 (2017; Zbl 1405.11083) Full Text: DOI
Disegni, Daniel The \(p\)-adic Gross-Zagier formula on Shimura curves. (English) Zbl 1392.11042 Compos. Math. 153, No. 10, 1987-2074 (2017). Reviewer: Matteo Longo (Padova) MSC: 11G40 11F33 11F41 PDF BibTeX XML Cite \textit{D. Disegni}, Compos. Math. 153, No. 10, 1987--2074 (2017; Zbl 1392.11042) Full Text: DOI arXiv
Blumberg, Andrew; Mandell, Michael The nilpotence theorem for the algebraic \(K\)-theory of the sphere spectrum. (English) Zbl 1388.19002 Geom. Topol. 21, No. 6, 3453-3466 (2017). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19D10 PDF BibTeX XML Cite \textit{A. Blumberg} and \textit{M. Mandell}, Geom. Topol. 21, No. 6, 3453--3466 (2017; Zbl 1388.19002) Full Text: DOI arXiv
Williams, Chris \(p\)-adic \(L\)-functions of Bianchi modular forms. (English) Zbl 1436.11142 Proc. Lond. Math. Soc. (3) 114, No. 4, 614-656 (2017). MSC: 11S40 11F12 11F67 PDF BibTeX XML Cite \textit{C. Williams}, Proc. Lond. Math. Soc. (3) 114, No. 4, 614--656 (2017; Zbl 1436.11142) Full Text: DOI arXiv
Castella, Francesc \(p\)-adic heights of Heegner points and Beilinson-Flach classes. (English) Zbl 1400.11138 J. Lond. Math. Soc., II. Ser. 96, No. 1, 156-180 (2017). Reviewer: Francesc Bars Cortina (Bellaterra) MSC: 11R23 11G05 11G40 PDF BibTeX XML Cite \textit{F. Castella}, J. Lond. Math. Soc., II. Ser. 96, No. 1, 156--180 (2017; Zbl 1400.11138) Full Text: DOI arXiv
Makiyama, Kenji A \(p\)-adic analytic family of the \(D\)-th Shintani lifting for a Coleman family and congruences between the central \(L\)-values. (English) Zbl 1427.11040 J. Number Theory 181, 164-199 (2017). MSC: 11F33 11F37 11F27 PDF BibTeX XML Cite \textit{K. Makiyama}, J. Number Theory 181, 164--199 (2017; Zbl 1427.11040) Full Text: DOI
Sprung, Florian On pairs of \(p\)-adic \(L\)-functions for weight-two modular forms. (English) Zbl 1416.11110 Algebra Number Theory 11, No. 4, 885-928 (2017). MSC: 11G40 11F67 11R23 PDF BibTeX XML Cite \textit{F. Sprung}, Algebra Number Theory 11, No. 4, 885--928 (2017; Zbl 1416.11110) Full Text: DOI arXiv
Furusho, Hidekazu; Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Fundamentals of \(p\)-adic multiple \(L\)-functions and evaluation of their special values. (English) Zbl 1367.11082 Sel. Math., New Ser. 23, No. 1, 39-100 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S40 11G55 11M32 11S80 PDF BibTeX XML Cite \textit{H. Furusho} et al., Sel. Math., New Ser. 23, No. 1, 39--100 (2017; Zbl 1367.11082) Full Text: DOI arXiv
Hung, Pin-Chi On the non-vanishing mod \(\ell\) of central \(L\)-values with anticyclotomic twists for Hilbert modular forms. (English) Zbl 1419.11086 J. Number Theory 173, 170-209 (2017). MSC: 11F67 11F41 11R23 PDF BibTeX XML Cite \textit{P.-C. Hung}, J. Number Theory 173, 170--209 (2017; Zbl 1419.11086) Full Text: DOI
Oh, Jangheon Computation of \(\lambda \)-invariant. (English) Zbl 1432.11163 Korean J. Math. 24, No. 3, 331-334 (2016). MSC: 11R23 PDF BibTeX XML Cite \textit{J. Oh}, Korean J. Math. 24, No. 3, 331--334 (2016; Zbl 1432.11163) Full Text: DOI
Ishikawa, Isao Integrals on \(p\)-adic upper half planes and Hida families over totally real fields. (English) Zbl 1410.11130 Osaka J. Math. 53, No. 4, 1089-1124 (2016). MSC: 11S40 11G10 11F41 PDF BibTeX XML Cite \textit{I. Ishikawa}, Osaka J. Math. 53, No. 4, 1089--1124 (2016; Zbl 1410.11130) Full Text: arXiv Euclid
Deppe, Holger \(p\)-adic L-functions of automorphic forms and exceptional zeros. (English) Zbl 1417.11100 Doc. Math. 21, 689-734 (2016). MSC: 11F85 11F41 11F67 11F70 11G40 PDF BibTeX XML Cite \textit{H. Deppe}, Doc. Math. 21, 689--734 (2016; Zbl 1417.11100) Full Text: arXiv EMIS
Januszewski, Fabian \(p\)-adic \(L\)-functions for Rankin-Selberg convolutions over number fields. (English. French summary) Zbl 1418.11091 Ann. Math. Qué. 40, No. 2, 453-489 (2016). MSC: 11F67 11F66 11R23 PDF BibTeX XML Cite \textit{F. Januszewski}, Ann. Math. Qué. 40, No. 2, 453--489 (2016; Zbl 1418.11091) Full Text: DOI arXiv
Rosso, Giovanni A formula for the derivative of the \(p\)-adic \(L\)-function of the symmetric square of a finite slope modular form. (English) Zbl 1351.11034 Am. J. Math. 138, No. 3, 821-878 (2016). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F85 11S40 11G40 PDF BibTeX XML Cite \textit{G. Rosso}, Am. J. Math. 138, No. 3, 821--878 (2016; Zbl 1351.11034) Full Text: DOI arXiv Link
Kriz, Daniel Generalized Heegner cycles at Eisenstein primes and the Katz \(p\)-adic \(L\)-function. (English) Zbl 1396.11097 Algebra Number Theory 10, No. 2, 309-374 (2016). MSC: 11G40 11G05 11G15 11G35 PDF BibTeX XML Cite \textit{D. Kriz}, Algebra Number Theory 10, No. 2, 309--374 (2016; Zbl 1396.11097) Full Text: DOI arXiv
Venerucci, Rodolfo Exceptional zero formulae and a conjecture of Perrin-Riou. (English) Zbl 1406.11060 Invent. Math. 203, No. 3, 923-972 (2016). MSC: 11G40 14G10 11G05 11R23 PDF BibTeX XML Cite \textit{R. Venerucci}, Invent. Math. 203, No. 3, 923--972 (2016; Zbl 1406.11060) Full Text: DOI arXiv
Hu, Su; Kim, Min-Soo The \((S, \{2 \})\)-Iwasawa theory. (English) Zbl 1400.11141 J. Number Theory 158, 73-89 (2016). MSC: 11R23 11S40 11S80 PDF BibTeX XML Cite \textit{S. Hu} and \textit{M.-S. Kim}, J. Number Theory 158, 73--89 (2016; Zbl 1400.11141) Full Text: DOI arXiv
Nastasescu, Maria M. Determination of elliptic curves by their adjoint \(p\)-adic \(L\)-functions. (English) Zbl 1393.11048 J. Number Theory 152, 156-181 (2015). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{M. M. Nastasescu}, J. Number Theory 152, 156--181 (2015; Zbl 1393.11048) Full Text: DOI arXiv
Danişman, Yusuf Regular poles for the \(p\)-adic group \(\mathrm{GSp}_4\). II. (English) Zbl 1388.11026 Turk. J. Math. 39, No. 3, 369-394 (2015). MSC: 11F70 11F85 22E50 PDF BibTeX XML Cite \textit{Y. Danişman}, Turk. J. Math. 39, No. 3, 369--394 (2015; Zbl 1388.11026) Full Text: DOI Link
de Jeu, Rob; Navilarekallu, Tejaswi Étale cohomology, cofinite generation, and \(p\)-adic \(L\)-functions. (Cohomologie étale, engendrement cofini, et fonctions \(L\) \(p\)-adiques.) (English. French summary) Zbl 1376.11055 Ann. Inst. Fourier 65, No. 6, 2331-2383 (2015). Reviewer: Lawrence C. Washington (College Park) MSC: 11G40 14F20 11M41 11S40 14G10 19F27 11R23 PDF BibTeX XML Cite \textit{R. de Jeu} and \textit{T. Navilarekallu}, Ann. Inst. Fourier 65, No. 6, 2331--2383 (2015; Zbl 1376.11055) Full Text: DOI arXiv
Delbourgo, Daniel; Qin, Chao On \(\lambda\)-invariants attached to cyclic cubic number fields. (English) Zbl 1397.11150 LMS J. Comput. Math. 18, 684-698 (2015). MSC: 11R23 11M41 11R60 11R42 PDF BibTeX XML Cite \textit{D. Delbourgo} and \textit{C. Qin}, LMS J. Comput. Math. 18, 684--698 (2015; Zbl 1397.11150) Full Text: DOI
Banaszak, Grzegorz; Uetake, Yoichi Standard models of abstract intersection theory for operators in Hilbert space. (English) Zbl 1345.47004 Bull. Pol. Acad. Sci., Math. 63, No. 2, 149-175 (2015). Reviewer: Sergey Ludkovsky (Moskva) MSC: 47A10 11M26 47A46 47A60 14C17 14F30 PDF BibTeX XML Cite \textit{G. Banaszak} and \textit{Y. Uetake}, Bull. Pol. Acad. Sci., Math. 63, No. 2, 149--175 (2015; Zbl 1345.47004) Full Text: DOI arXiv
Anandavardhanan, U. K.; Kumar Mondal, Amiya On the degree of certain local \(L\)-functions. (English) Zbl 1321.22018 Pac. J. Math. 276, No. 1, 1-17 (2015). Reviewer: Yuval Z. Flicker (Columbus) MSC: 22E50 11F33 11F70 11F85 PDF BibTeX XML Cite \textit{U. K. Anandavardhanan} and \textit{A. Kumar Mondal}, Pac. J. Math. 276, No. 1, 1--17 (2015; Zbl 1321.22018) Full Text: DOI
Hida, Haruzo Big Galois representations and \(p\)-adic \(L\)-functions. (English) Zbl 1400.11106 Compos. Math. 151, No. 4, 603-664 (2015). MSC: 11F80 11F11 11F25 11F33 PDF BibTeX XML Cite \textit{H. Hida}, Compos. Math. 151, No. 4, 603--664 (2015; Zbl 1400.11106) Full Text: DOI
Bertolini, Massimo; Darmon, Henri; Rotger, Victor Beilinson-Flach elements and Euler systems. I: Syntomic regulators and \(p\)-adic Rankin \(L\)-series. (English) Zbl 1325.14034 J. Algebr. Geom. 24, No. 2, 355-378 (2015). Reviewer: Kazuki Yamada (Tokyo) MSC: 14F30 11R42 19F27 11G40 PDF BibTeX XML Cite \textit{M. Bertolini} et al., J. Algebr. Geom. 24, No. 2, 355--378 (2015; Zbl 1325.14034) Full Text: DOI
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 PDF BibTeX XML Cite \textit{X.-F. Roblot}, Math. Comput. 84, No. 292, 831--874 (2015; Zbl 1333.11106) Full Text: DOI arXiv
Burungale, Ashay A. On the \(\mu\)-invariant of the cyclotomic derivative of a Katz \(p\)-adic \(L\)-function. (English) Zbl 1323.11087 J. Inst. Math. Jussieu 14, No. 1, 131-148 (2015). Reviewer: Robert Harron (Honolulu) MSC: 11R23 11F33 11F41 11G18 PDF BibTeX XML Cite \textit{A. A. Burungale}, J. Inst. Math. Jussieu 14, No. 1, 131--148 (2015; Zbl 1323.11087) Full Text: DOI arXiv
Hirotsune, Tomoki \(p\)-adic Eisenstein-Kronecker series and non-critical values of \(p\)-adic Hecke \(L\)-function of an imaginary quadratic field when the conductor is divisible by \(p\). (English) Zbl 1385.11045 J. Number Theory 135, 301-333 (2014). MSC: 11G40 11F85 11G15 14G10 11R42 PDF BibTeX XML Cite \textit{T. Hirotsune}, J. Number Theory 135, 301--333 (2014; Zbl 1385.11045) Full Text: DOI arXiv
Urban, Eric Nearly overconvergent modular forms. (English) Zbl 1328.11052 Bouganis, Thanasis (ed.) et al., Iwasawa theory 2012. State of the art and recent advances. Selected papers based on the presentations at the conference, Heidelberg, Germany, July 30 – August 3, 2012. Berlin: Springer (ISBN 978-3-642-55244-1/hbk; 978-3-642-55245-8/ebook). Contributions in Mathematical and Computational Sciences 7, 401-441 (2014). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F25 11F85 PDF BibTeX XML Cite \textit{E. Urban}, Contrib. Math. Comput. Sci. 7, 401--441 (2014; Zbl 1328.11052) Full Text: DOI
Araci, Serkan; Acikgoz, Mehmet; Ağyüz, Erkan On the Dirichlet’s type of Eulerian polynomials. (English) Zbl 1368.11125 Math. Sci., Springer 8, No. 2, Paper No. 131, 5 p. (2014). MSC: 11S80 11B68 PDF BibTeX XML Cite \textit{S. Araci} et al., Math. Sci., Springer 8, No. 2, Paper No. 131, 5 p. (2014; Zbl 1368.11125) Full Text: DOI arXiv
Özden, H.; Simsek, Y. Unified presentation of \(p\)-adic \(L\)-functions associated with unification of the special numbers. (English) Zbl 1324.11023 Acta Math. Hung. 144, No. 2, 515-529 (2014). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11B68 11S40 11S80 30B50 44A05 PDF BibTeX XML Cite \textit{H. Özden} and \textit{Y. Simsek}, Acta Math. Hung. 144, No. 2, 515--529 (2014; Zbl 1324.11023) Full Text: DOI
Darmon, Henri; Rotger, Victor Diagonal cycles and Euler systems. I: A \(p\)-adic Gross-Zagier formula. (Cycles de Gross-Schoen et systèmes d’Euler. I: Une formule de Gross-Zagier \(p\)-adique.) (English. French summary) Zbl 1356.11039 Ann. Sci. Éc. Norm. Supér. (4) 47, No. 4, 779-832 (2014). MSC: 11G40 11F85 11G05 11G35 14G25 11S40 PDF BibTeX XML Cite \textit{H. Darmon} and \textit{V. Rotger}, Ann. Sci. Éc. Norm. Supér. (4) 47, No. 4, 779--832 (2014; Zbl 1356.11039) Full Text: DOI Link
Kang, Yunling; Qin, Hourong On the \(\mu\)-invariant of two-variable primitive \(p\)-adic \(L\)-functions. (English) Zbl 1360.11114 Sci. China, Math. 57, No. 6, 1149-1154 (2014). MSC: 11R23 11G40 PDF BibTeX XML Cite \textit{Y. Kang} and \textit{H. Qin}, Sci. China, Math. 57, No. 6, 1149--1154 (2014; Zbl 1360.11114) Full Text: DOI
Loeffler, David; Zerbes, Sarah Livia Iwasawa theory and \(p\)-adic \(L\)-functions over \(\mathbb{Z}_p^2\)-extensions. (English) Zbl 1314.11066 Int. J. Number Theory 10, No. 8, 2045-2095 (2014). Reviewer: Wei Feng (Beijing) MSC: 11R23 11G40 11S40 11F80 PDF BibTeX XML Cite \textit{D. Loeffler} and \textit{S. L. Zerbes}, Int. J. Number Theory 10, No. 8, 2045--2095 (2014; Zbl 1314.11066) Full Text: DOI arXiv
Connes, Alain; Consani, Caterina On the arithmetic of the BC-system. (English) Zbl 1302.11069 J. Noncommut. Geom. 8, No. 3, 873-945 (2014). Reviewer: Igor V. Nikolaev (Sherbrooke) MSC: 11M55 46L85 PDF BibTeX XML Cite \textit{A. Connes} and \textit{C. Consani}, J. Noncommut. Geom. 8, No. 3, 873--945 (2014; Zbl 1302.11069) Full Text: DOI arXiv
Hsieh, Ming-Lun Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields. (English) Zbl 1317.11108 J. Am. Math. Soc. 27, No. 3, 753-862 (2014). Reviewer: Byoung Du Kim (Wellington) MSC: 11R23 11F70 11F33 PDF BibTeX XML Cite \textit{M.-L. Hsieh}, J. Am. Math. Soc. 27, No. 3, 753--862 (2014; Zbl 1317.11108) Full Text: DOI
Lei, Antonio; Loeffler, David; Zerbes, Sarah Livia Euler systems for Rankin-Selberg convolutions of modular forms. (English) Zbl 1315.11044 Ann. Math. (2) 180, No. 2, 653-771 (2014). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11F85 11F67 14C15 PDF BibTeX XML Cite \textit{A. Lei} et al., Ann. Math. (2) 180, No. 2, 653--771 (2014; Zbl 1315.11044) Full Text: DOI arXiv
Charollois, Pierre; Dasgupta, Samit Integral Eisenstein cocycles on \(\mathrm{GL}_n\). I: Sczech’s cocycle and \(p\)-adic \(L\)-functions of totally real fields. (English) Zbl 1353.11074 Camb. J. Math. 2, No. 1, 49-90 (2014). Reviewer: Denis Ibadula (Constanța) MSC: 11F41 11F67 11F70 PDF BibTeX XML Cite \textit{P. Charollois} and \textit{S. Dasgupta}, Camb. J. Math. 2, No. 1, 49--90 (2014; Zbl 1353.11074) Full Text: DOI arXiv
Benois, Denis Trivial zeros of \(p\)-adic \(L\)-functions at near-central points. (English) Zbl 1307.11116 J. Inst. Math. Jussieu 13, No. 3, 561-598 (2014). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11F80 11F85 11S25 11G40 14F30 PDF BibTeX XML Cite \textit{D. Benois}, J. Inst. Math. Jussieu 13, No. 3, 561--598 (2014; Zbl 1307.11116) Full Text: DOI arXiv
Danişman, Yusuf Regular poles for the \(p\)-adic group \(\mathrm{GSp}(4)\). (English) Zbl 1294.11071 Turk. J. Math. 38, No. 4, 587-613 (2014). Reviewer: Martin Raum (Bonn) MSC: 11F70 11F85 11F55 11M41 PDF BibTeX XML Cite \textit{Y. Danişman}, Turk. J. Math. 38, No. 4, 587--613 (2014; Zbl 1294.11071) Full Text: DOI
Seveso, Marco Adamo Heegner cycles and derivatives of \(p\)-adic \(L\)-functions. (English) Zbl 1356.11040 J. Reine Angew. Math. 686, 111-148 (2014). MSC: 11G40 11F80 11G18 11F85 11F67 PDF BibTeX XML Cite \textit{M. A. Seveso}, J. Reine Angew. Math. 686, 111--148 (2014; Zbl 1356.11040) Full Text: DOI
Davis, Christopher; Wan, Daqing \(L\)-functions of \(p\)-adic characters. (English) Zbl 1292.11074 Nagoya Math. J. 213, 77-104 (2014). Reviewer: Remke Kloosterman (Berlin) MSC: 11G40 13F35 PDF BibTeX XML Cite \textit{C. Davis} and \textit{D. Wan}, Nagoya Math. J. 213, 77--104 (2014; Zbl 1292.11074) Full Text: DOI arXiv Euclid
Skinner, Christopher; Urban, Eric The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\). (English) Zbl 1301.11074 Invent. Math. 195, No. 1, 1-277 (2014). Reviewer: Wei Feng (Beijing) MSC: 11R23 11F85 11G05 11F80 11F33 PDF BibTeX XML Cite \textit{C. Skinner} and \textit{E. Urban}, Invent. Math. 195, No. 1, 1--277 (2014; Zbl 1301.11074) Full Text: DOI
Kim, Min-Soo; Hu, Su Corrigendum to “On \(p\)-adic Diamond-Euler log gamma functions”. (English) Zbl 1383.11125 J. Number Theory 137, 256-257 (2014). MSC: 11S80 11M35 11B68 PDF BibTeX XML Cite \textit{M.-S. Kim} and \textit{S. Hu}, J. Number Theory 137, 256--257 (2014; Zbl 1383.11125) Full Text: DOI
Zhang, Jun; Feng, Weiduan On \(L\)-functions of certain exponential sums. (English) Zbl 1285.11143 Finite Fields Appl. 26, 7-31 (2014). Reviewer: Sergey Stepanov (Moskva) MSC: 11S40 11T23 11L07 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{W. Feng}, Finite Fields Appl. 26, 7--31 (2014; Zbl 1285.11143) Full Text: DOI arXiv
Ozden, Hacer \(Q\)-Dirichlet type \(L\)-functions with weight \(\alpha\). (English) Zbl 1370.11038 Adv. Difference Equ. 2013, Paper No. 40, 5 p. (2013). MSC: 11B68 11S80 11M41 PDF BibTeX XML Cite \textit{H. Ozden}, Adv. Difference Equ. 2013, Paper No. 40, 5 p. (2013; Zbl 1370.11038) Full Text: DOI
Kim, Min-Soo; Hu, Su On \(p\)-adic Diamond-Euler log gamma functions. (English) Zbl 1364.11149 J. Number Theory 133, No. 12, 4233-4250 (2013); corrigendum ibid. 137, 256-257 (2014). MSC: 11S80 11M35 11B68 PDF BibTeX XML Cite \textit{M.-S. Kim} and \textit{S. Hu}, J. Number Theory 133, No. 12, 4233--4250 (2013; Zbl 1364.11149) Full Text: DOI
Le, Phong Regular decomposition of ordinarity in generic exponential sums. (English) Zbl 1286.11206 J. Number Theory 133, No. 8, 2648-2683 (2013). MSC: 11T23 11G25 52B20 PDF BibTeX XML Cite \textit{P. Le}, J. Number Theory 133, No. 8, 2648--2683 (2013; Zbl 1286.11206) Full Text: DOI arXiv
Kim, Dohyeong \(p\)-adic \(L\)-functions over the false Tate curve extensions. (English) Zbl 1286.11177 Math. Proc. Camb. Philos. Soc. 155, No. 3, 483-498 (2013). MSC: 11R23 11F11 11F67 PDF BibTeX XML Cite \textit{D. Kim}, Math. Proc. Camb. Philos. Soc. 155, No. 3, 483--498 (2013; Zbl 1286.11177) Full Text: DOI
Seveso, Marco Adamo The Teitelbaum conjecture in the indefinite setting. (English) Zbl 1288.11051 Am. J. Math. 135, No. 6, 1525-1557 (2013). Reviewer: Zhengyu Mao (Newark) MSC: 11F67 11F75 11F80 PDF BibTeX XML Cite \textit{M. A. Seveso}, Am. J. Math. 135, No. 6, 1525--1557 (2013; Zbl 1288.11051) Full Text: DOI Link
Heiermann, Volker; Opdam, Eric On the tempered \(L\)-functions conjecture. (English) Zbl 1331.11036 Am. J. Math. 135, No. 3, 777-799 (2013). Reviewer: Dubravka Ban (Carbondale) MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{V. Heiermann} and \textit{E. Opdam}, Am. J. Math. 135, No. 3, 777--799 (2013; Zbl 1331.11036) Full Text: DOI arXiv