Dimitrov, Mladen; Januszewski, Fabian; Raghuram, A. \(L\)-functions of \(\mathrm{GL}_{2n}\): \(p\)-adic properties and non-vanishing of twists. (English) Zbl 07308571 Compos. Math. 156, No. 12, 2437-2468 (2021). MSC: 11F67 11S40 11F55 11F70 PDF BibTeX XML Cite \textit{M. Dimitrov} et al., Compos. Math. 156, No. 12, 2437--2468 (2021; Zbl 07308571) Full Text: DOI
Chen, Chao Hasse polynomials of L-functions of certain exponential sums. (English) Zbl 07312718 Finite Fields Appl. 68, Article ID 101736, 19 p. (2020). MSC: 11S40 11T23 11L07 PDF BibTeX XML Cite \textit{C. Chen}, Finite Fields Appl. 68, Article ID 101736, 19 p. (2020; Zbl 07312718) Full Text: DOI
Kashio, Tomokazu A period-ring-valued gamma function and a refinement of the reciprocity law on Stark units. (English) Zbl 07311548 RIMS Kôkyûroku Bessatsu B83, 169-181 (2020). MSC: 11R27 11R42 14F30 14K22 PDF BibTeX XML Cite \textit{T. Kashio}, RIMS Kôkyûroku Bessatsu B83, 169--181 (2020; Zbl 07311548) Full Text: Link
Hu, Yueke; Saha, Abhishek Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces. II: Newforms and subconvexity. (English) Zbl 07305887 Compos. Math. 156, No. 11, 2368-2398 (2020). 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 07305887) Full Text: DOI
Otsuki, Rei The \(p\)-adic \(L\)-functions for higher weight modular forms in the supersingular case (announcement). (Japanese. English summary) Zbl 07303994 RIMS Kôkyûroku Bessatsu B77, 239-250 (2020). MSC: 11F67 11R23 PDF BibTeX XML Cite \textit{R. Otsuki}, RIMS Kôkyûroku Bessatsu B77, 239--250 (2020; Zbl 07303994) Full Text: Link
Kurinczuk, Robert; Matringe, Nadir Characterisation of the poles of the \(\ell \)-modular Asai L-factor. (Caractérisation des pôles du facteur d’Asai \(\ell\)-modulaire.) (English) Zbl 07290302 Bull. Soc. Math. Fr. 148, No. 3, 481-514 (2020). MSC: 22E50 11F70 11F66 PDF BibTeX XML Cite \textit{R. Kurinczuk} and \textit{N. Matringe}, Bull. Soc. Math. Fr. 148, No. 3, 481--514 (2020; Zbl 07290302) Full Text: DOI
Castella, Francesc On the \(p\)-adic variation of Heegner points. (English) Zbl 07286304 J. Inst. Math. Jussieu 19, No. 6, 2127-2164 (2020). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{F. Castella}, J. Inst. Math. Jussieu 19, No. 6, 2127--2164 (2020; Zbl 07286304) Full Text: DOI
Howe, Sean A unipotent circle action on \(p\)-adic modular forms. (English) Zbl 07281950 Trans. Am. Math. Soc., Ser. B 7, 186-226 (2020). MSC: 11F33 11F77 PDF BibTeX XML Cite \textit{S. Howe}, Trans. Am. Math. Soc., Ser. B 7, 186--226 (2020; Zbl 07281950) Full Text: DOI
Braunling, Oliver Frobenius line invariance of algebraic \(K\)-theory. (English) Zbl 07269835 Trans. Am. Math. Soc. 373, No. 11, 8197-8217 (2020). MSC: 19F27 14F30 PDF BibTeX XML Cite \textit{O. Braunling}, Trans. Am. Math. Soc. 373, No. 11, 8197--8217 (2020; Zbl 07269835) Full Text: DOI
Crisąn, Vlad; Müller, Katharina The vanishing of the \(\mu \)-invariant for split prime \(\mathbb{Z}_p\)-extensions over imaginary quadratic fields. (English) Zbl 07261072 Asian J. Math. 24, No. 2, 267-302 (2020). MSC: 11G05 11R23 PDF BibTeX XML Cite \textit{V. Crisąn} and \textit{K. Müller}, Asian J. Math. 24, No. 2, 267--302 (2020; Zbl 07261072) Full Text: DOI
Fraser, Robert; Wright, James The local sum conjecture in two dimensions. (English) Zbl 07257245 Int. J. Number Theory 16, No. 8, 1667-1699 (2020). MSC: 11L07 11S40 11A07 43A70 PDF BibTeX XML Cite \textit{R. Fraser} and \textit{J. Wright}, Int. J. Number Theory 16, No. 8, 1667--1699 (2020; Zbl 07257245) Full Text: DOI
Liu, Zheng; Rosso, Giovanni Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of \(p\)-adic \(L\)-functions. (English) Zbl 07250824 Math. Ann. 378, No. 1-2, 153-231 (2020). MSC: 11F46 11F33 11R23 11S40 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{G. Rosso}, Math. Ann. 378, No. 1--2, 153--231 (2020; Zbl 07250824) Full Text: DOI
Cauchi, Antonio; Rodrigues Jacinto, Joaquín Norm-compatible systems of Galois cohomology classes for \(\mathbf{GSp}_6\). (English) Zbl 07249995 Doc. Math. 25, 911-954 (2020). MSC: 11G18 11F46 11G40 PDF BibTeX XML Cite \textit{A. Cauchi} and \textit{J. Rodrigues Jacinto}, Doc. Math. 25, 911--954 (2020; Zbl 07249995) Full Text: DOI
Loeffler, David; Williams, Chris P-adic Asai \(L\)-functions of Bianchi modular forms. (English) Zbl 07248669 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 07248669) Full Text: DOI
Ryoo, Cheon Seoung Some identities involving the generalized polynomials of derangements arising from differential equation. (English) Zbl 07242823 J. Appl. Math. Inform. 38, No. 1-2, 159-173 (2020). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{C. S. Ryoo}, J. Appl. Math. Inform. 38, No. 1--2, 159--173 (2020; Zbl 07242823) Full Text: DOI
Kim, A. Hyun Some properties of generalized \(q\)-poly-Euler numbers and polynomials with variable \(a\). (English) Zbl 07242821 J. Appl. Math. Inform. 38, No. 1-2, 133-144 (2020). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{A. H. Kim}, J. Appl. Math. Inform. 38, No. 1--2, 133--144 (2020; Zbl 07242821) Full Text: DOI
Chen, Cheng; Jiang, Dihua; Lin, Bingchen; Tian, Fangyang Archimedean non-vanishing, cohomological test vectors, and standard \(L\)-functions of \(\text{GL}_{2n}\): real case. (English) Zbl 07242452 Math. Z. 296, No. 1-2, 479-509 (2020). MSC: 22E45 11F67 11F70 11F85 PDF BibTeX XML Cite \textit{C. Chen} et al., Math. Z. 296, No. 1--2, 479--509 (2020; Zbl 07242452) Full Text: DOI
Kurt, Burak Notes on the parametric poly-tangent polynomials. (English) Zbl 07241829 J. Appl. Math. Inform. 38, No. 3-4, 301-309 (2020). MSC: 11B68 11B83 11S40 11S80 PDF BibTeX XML Cite \textit{B. Kurt}, J. Appl. Math. Inform. 38, No. 3--4, 301--309 (2020; Zbl 07241829) Full Text: DOI
Gatti, Francesca; Guitart, Xavier On the elliptic Stark conjecture in higher weight. (English) Zbl 07236055 Publ. Mat., Barc. 64, No. 2, 577-619 (2020). MSC: 11G40 14G05 14G10 PDF BibTeX XML Cite \textit{F. Gatti} and \textit{X. Guitart}, Publ. Mat., Barc. 64, No. 2, 577--619 (2020; Zbl 07236055) Full Text: DOI Euclid
Johnston, Henri; Nickel, Andreas On the \(p\)-adic Stark conjecture at \(s=1\) and applications. (English) Zbl 07226683 J. Lond. Math. Soc., II. Ser. 101, No. 3, 1320-1354 (2020). Reviewer: Thong Nguyen Quang Do (Besançon) (MR 4111943) MSC: 11R23 11R42 PDF BibTeX XML Cite \textit{H. Johnston} and \textit{A. Nickel}, J. Lond. Math. Soc., II. Ser. 101, No. 3, 1320--1354 (2020; Zbl 07226683) Full Text: DOI
Disegni, Daniel On the \(p\)-adic Birch and Swinnerton-Dyer conjecture for elliptic curves over number fields. (English) Zbl 07223242 Kyoto J. Math. 60, No. 2, 473-510 (2020). MSC: 11G40 11F85 PDF BibTeX XML Cite \textit{D. Disegni}, Kyoto J. Math. 60, No. 2, 473--510 (2020; Zbl 07223242) Full Text: DOI Euclid
Lin, Xianzu \(p\)-adic \(L\)-functions and classical congruences. (English) Zbl 07221805 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 07221805) Full Text: DOI
Ferrara, Joseph W. A \(p\)-adic Stark conjecture in the rank one setting. (English) Zbl 07221802 Acta Arith. 193, No. 4, 369-417 (2020). MSC: 11F67 11R42 PDF BibTeX XML Cite \textit{J. W. Ferrara}, Acta Arith. 193, No. 4, 369--417 (2020; Zbl 07221802) Full Text: DOI
Kolster, Manfred; Taleb, Reza The \(p\)-adic Coates-Sinnott conjecture over maximal orders. (English) Zbl 07219267 Int. J. Number Theory 16, No. 6, 1227-1246 (2020). MSC: 11R23 11R42 14F42 19F27 11R70 PDF BibTeX XML Cite \textit{M. Kolster} and \textit{R. Taleb}, Int. J. Number Theory 16, No. 6, 1227--1246 (2020; Zbl 07219267) Full Text: DOI
Liu, Zheng \(p\)-adic \(L\)-functions for ordinary families on symplectic groups. (English) Zbl 07219260 J. Inst. Math. Jussieu 19, No. 4, 1287-1347 (2020). MSC: 11F33 11F46 11F67 11F60 11F30 11G18 PDF BibTeX XML Cite \textit{Z. Liu}, J. Inst. Math. Jussieu 19, No. 4, 1287--1347 (2020; Zbl 07219260) Full Text: DOI
Jo, Yeongseong Rankin-Selberg \(L\)-functions via good sections. (English) Zbl 07216247 Forum Math. 32, No. 4, 1039-1074 (2020). MSC: 11F70 11F85 11S23 11S40 22E50 PDF BibTeX XML Cite \textit{Y. Jo}, Forum Math. 32, No. 4, 1039--1074 (2020; Zbl 07216247) Full Text: DOI
Delbourgo, Daniel; Lei, Antonio Heegner cycles and congruences between anticyclotomic \(p\)-adic \(L\)-functions over CM-extensions. (English) Zbl 07213813 New York J. Math. 26, 496-525 (2020). MSC: 11F33 11F41 11G40 11R23 PDF BibTeX XML Cite \textit{D. Delbourgo} and \textit{A. Lei}, New York J. Math. 26, 496--525 (2020; Zbl 07213813) Full Text: Link
Eischen, Ellen; Harris, Michael; Li, Jianshu; Skinner, Christopher \(p\)-adic \(L\)-functions for unitary groups. (English) Zbl 07209559 Forum Math. Pi 8, Paper No. e9, 160 p. (2020). MSC: 11F85 11F66 14G10 11F55 11R23 14G35 11G10 11F03 PDF BibTeX XML Cite \textit{E. Eischen} et al., Forum Math. Pi 8, Paper No. e9, 160 p. (2020; Zbl 07209559) Full Text: DOI
Burns, David On derivatives of \(p\)-adic \(L\)-series at \(s = 0\). (English) Zbl 07201148 J. Reine Angew. Math. 762, 53-104 (2020). MSC: 11R23 11R42 11E95 11F67 PDF BibTeX XML Cite \textit{D. Burns}, J. Reine Angew. Math. 762, 53--104 (2020; Zbl 07201148) Full Text: DOI
Delbourgo, Daniel Variation of the analytic \(\lambda\)-invariant over a solvable extension. (English) Zbl 07194986 Proc. Lond. Math. Soc. (3) 120, No. 6, 918-960 (2020). MSC: 11F33 11R23 11F80 11G40 PDF BibTeX XML Cite \textit{D. Delbourgo}, Proc. Lond. Math. Soc. (3) 120, No. 6, 918--960 (2020; Zbl 07194986) Full Text: DOI
Collins, Dan J. Anticyclotomic \(p\)-adic \(L\)-functions and Ichino’s formula. (English. French summary) Zbl 07188948 Ann. Math. Qué. 44, No. 1, 27-89 (2020). MSC: 11F67 PDF BibTeX XML Cite \textit{D. J. Collins}, Ann. Math. Qué. 44, No. 1, 27--89 (2020; Zbl 07188948) Full Text: DOI
Büyükboduk, Kâzım; Lei, Antonio Functional equation for \(p\)-adic Rankin-Selberg \(L\)-functions. (English. French summary) Zbl 07188947 Ann. Math. Qué. 44, No. 1, 9-25 (2020). MSC: 11R23 11S40 11R20 11F11 PDF BibTeX XML Cite \textit{K. Büyükboduk} and \textit{A. Lei}, Ann. Math. Qué. 44, No. 1, 9--25 (2020; Zbl 07188947) Full Text: DOI
Furusho, Hidekazu; Jarossay, David \(p\)-adic multiple \(L\)-functions and cyclotomic multiple harmonic values. (English) Zbl 1452.11105 Int. J. Number Theory 16, No. 2, 361-375 (2020). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11M32 11S40 11S80 PDF BibTeX XML Cite \textit{H. Furusho} and \textit{D. Jarossay}, Int. J. Number Theory 16, No. 2, 361--375 (2020; Zbl 1452.11105) Full Text: DOI
Châu, Ngô Bảo Hankel transform, Langlands functoriality and functional equation of automorphic \(L\)-functions. (English) Zbl 07177051 Jpn. J. Math. (3) 15, No. 1, 121-167 (2020). MSC: 11M99 22E35 PDF BibTeX XML Cite \textit{N. B. Châu}, Jpn. J. Math. (3) 15, No. 1, 121--167 (2020; Zbl 07177051) 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: DOI MNR
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
Kim, Yunjae; Kwon, Jongkyum; Sohn, Gyoyong Y.; Lee, Jeong Gon Some identities of the partially degenerate Changhee-Genocchi polynomials and numbers. (English) Zbl 07172204 Adv. Stud. Contemp. Math., Kyungshang 29, No. 4, 537-550 (2019). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{Y. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 29, No. 4, 537--550 (2019; Zbl 07172204) Full Text: DOI
Dion, Cédric; Sprung, Florian Consequences of functional equations for pairs of \(p\)-adic \(L\)-functions. (English) Zbl 07150334 Abh. Math. Semin. Univ. Hamb. 89, No. 2, 203-208 (2019). MSC: 11S40 PDF BibTeX XML Cite \textit{C. Dion} and \textit{F. Sprung}, Abh. Math. Semin. Univ. Hamb. 89, No. 2, 203--208 (2019; Zbl 07150334) Full Text: DOI
Choi, Sangki; Kim, Byung-Moon; Kwon, Jongkyum The deformed degenerate \(q\)-Euler polynomials and numbers. (English) Zbl 07144828 Ars Comb. 143, 309-319 (2019). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{S. Choi} et al., Ars Comb. 143, 309--319 (2019; Zbl 07144828)
Ryoo, Cheon Seoung Symmetric identities for degenerate Carlitz-type \(q\)-Euler numbers and polynomials. (English) Zbl 1438.11054 J. Appl. Math. Inform. 37, No. 3-4, 259-270 (2019). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{C. S. Ryoo}, J. Appl. Math. Inform. 37, No. 3--4, 259--270 (2019; Zbl 1438.11054) Full Text: DOI
Hwang, Kyung-Won; Ryoo, Cheon Seoung Some symmetric identities for the multiple (\(p\), \(q\))-Hurwitz-Euler eta function. (English) Zbl 1425.11037 Symmetry 11, No. 5, Paper No. 645, 14 p. (2019). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{K.-W. Hwang} and \textit{C. S. Ryoo}, Symmetry 11, No. 5, Paper No. 645, 14 p. (2019; Zbl 1425.11037) Full Text: DOI
Ryoo, Cheon Seoung Some identities for \((p, q)\)-Hurwitz zeta function. (English) Zbl 1438.11053 J. Appl. Math. Inform. 37, No. 1-2, 97-103 (2019). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{C. S. Ryoo}, J. Appl. Math. Inform. 37, No. 1--2, 97--103 (2019; Zbl 1438.11053) Full Text: DOI
Pyo, Sung-Soo; Kim, Taekyun Some identities of fully degenerate Bell polynomials arising from differential equations. (English) Zbl 1423.11057 Proc. Jangjeon Math. Soc. 22, No. 2, 357-363 (2019). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{S.-S. Pyo} and \textit{T. Kim}, Proc. Jangjeon Math. Soc. 22, No. 2, 357--363 (2019; Zbl 1423.11057) Full Text: DOI
Mendoza-Martínez, M. L.; Vallejo, J. A.; Zúñiga-Galindo, W. A. Acausal quantum theory for non-Archimedean scalar fields. (English) Zbl 1425.81067 Rev. Math. Phys. 31, No. 4, Article ID 1950011, 46 p. (2019). MSC: 81T05 11S40 35S05 81T70 37P55 46S10 PDF BibTeX XML Cite \textit{M. L. Mendoza-Martínez} et al., Rev. Math. Phys. 31, No. 4, Article ID 1950011, 46 p. (2019; Zbl 1425.81067) Full Text: DOI arXiv
Sprang, Johannes Eisenstein-Kronecker series via the Poincaré bundle. (English) Zbl 07111153 Forum Math. Sigma 7, Paper No. e34, 59 p. (2019). MSC: 11F33 11G40 PDF BibTeX XML Cite \textit{J. Sprang}, Forum Math. Sigma 7, Paper No. e34, 59 p. (2019; Zbl 07111153) Full Text: DOI
Ishikawa, Isao Explicit calculation of local integrals for twisted triple product \(L\)-functions. (English) Zbl 07108005 Kyoto J. Math. 59, No. 3, 619-648 (2019). MSC: 11F70 11F41 11F67 PDF BibTeX XML Cite \textit{I. Ishikawa}, Kyoto J. Math. 59, No. 3, 619--648 (2019; Zbl 07108005) Full Text: DOI Euclid
Barrera Salazar, Daniel; Williams, Chris \(p\)-adic \(L\)-functions for \(\text{GL}_2\). (English) Zbl 07106604 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 07106604) Full Text: DOI
León-Cardenal, Edwin; Zúñiga-Galindo, W. A. An introduction to the theory of local zeta functions from scratch. (English) Zbl 1440.11222 Rev. Integr. 37, No. 1, 45-76 (2019). MSC: 11S40 11S80 11M41 14G10 PDF BibTeX XML Cite \textit{E. León-Cardenal} and \textit{W. A. Zúñiga-Galindo}, Rev. Integr. 37, No. 1, 45--76 (2019; Zbl 1440.11222) Full Text: DOI
Johansson, Christian; Newton, James Parallel weight 2 points on Hilbert modular eigenvarieties and the parity conjecture. (English) Zbl 07103668 Forum Math. Sigma 7, Paper No. e27, 36 p. (2019). MSC: 11F33 11G40 PDF BibTeX XML Cite \textit{C. Johansson} and \textit{J. Newton}, Forum Math. Sigma 7, Paper No. e27, 36 p. (2019; Zbl 07103668) Full Text: DOI arXiv
Kim, Chan-Ho Overconvergent quaternionic forms and anticyclotomic \(p\)-adic \(L\)-functions. (English) Zbl 07094868 Publ. Mat., Barc. 63, No. 2, 727-767 (2019). MSC: 11R23 11F33 PDF BibTeX XML Cite \textit{C.-H. Kim}, Publ. Mat., Barc. 63, No. 2, 727--767 (2019; Zbl 07094868) Full Text: DOI Euclid arXiv
Hernandez, Valentin Families of Picard modular forms and an application to the Bloch-Kato conjecture. (English) Zbl 07077740 Compos. Math. 155, No. 7, 1327-1401 (2019). MSC: 11G18 11F33 14K10 11F55 11G40 14L05 14G35 14G22 PDF BibTeX XML Cite \textit{V. Hernandez}, Compos. Math. 155, No. 7, 1327--1401 (2019; Zbl 07077740) Full Text: DOI arXiv
Dasgupta, Samit; Spieß, Michael On the characteristic polynomial of the Gross regulator matrix. (English) Zbl 1441.11284 Trans. Am. Math. Soc. 372, No. 2, 803-827 (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11S40 PDF BibTeX XML Cite \textit{S. Dasgupta} and \textit{M. Spieß}, Trans. Am. Math. Soc. 372, No. 2, 803--827 (2019; Zbl 1441.11284) Full Text: DOI arXiv
Barrera Salazar, Daniel; Williams, Chris Exceptional zeros and \(\mathcal {L}\)-invariants of Bianchi modular forms. (English) Zbl 1443.11060 Trans. Am. Math. Soc. 372, No. 1, 1-34 (2019). MSC: 11F41 11F67 11F85 11S40 11M41 PDF BibTeX XML Cite \textit{D. Barrera Salazar} and \textit{C. Williams}, Trans. Am. Math. Soc. 372, No. 1, 1--34 (2019; Zbl 1443.11060) Full Text: DOI
Rodriguez Villegas, Fernando \(p\)-adic hypergeometrics. (English) Zbl 1443.11249 Wood, David R. (ed.) et al., 2017 MATRIX annals. Cham: Springer. MATRIX Book Ser. 2, 471-474 (2019). MSC: 11S40 11S80 11B68 11M38 PDF BibTeX XML Cite \textit{F. Rodriguez Villegas}, MATRIX Book Ser. 2, 471--474 (2019; Zbl 1443.11249) Full Text: DOI arXiv
Bocardo-Gaspar, Miriam; García-Compeán, H.; Zúñiga-Galindo, W. A. Regularization of \(p\)-adic string amplitudes, and multivariate local zeta functions. (English) Zbl 1417.81155 Lett. Math. Phys. 109, No. 5, 1167-1204 (2019). MSC: 81T30 11S40 32A20 26C15 32S45 PDF BibTeX XML Cite \textit{M. Bocardo-Gaspar} et al., Lett. Math. Phys. 109, No. 5, 1167--1204 (2019; Zbl 1417.81155) Full Text: DOI arXiv
Delbourgo, Daniel; Chao, Qin \({K}_{1}\)-congruences for three-dimensional Lie groups. (English. French summary) Zbl 07068796 Ann. Math. Qué. 43, No. 1, 161-211 (2019). MSC: 11R23 11G40 19B28 PDF BibTeX XML Cite \textit{D. Delbourgo} and \textit{Q. Chao}, Ann. Math. Qué. 43, No. 1, 161--211 (2019; Zbl 07068796) Full Text: DOI
Bianchi, Francesca Consequences of the functional equation of the \(p\)-adic \(L\)-function of an elliptic curve. (English) Zbl 1443.11123 Funct. Approximatio, Comment. Math. 60, No. 2, 227-236 (2019). MSC: 11G40 11G05 11R23 PDF BibTeX XML Cite \textit{F. Bianchi}, Funct. Approximatio, Comment. Math. 60, No. 2, 227--236 (2019; Zbl 1443.11123) Full Text: DOI Euclid
Kashio, Tomokazu \(p\)-adic measures associated with zeta values and \(p\)-adic \(\log\) multiple gamma functions. (English) Zbl 07063394 Int. J. Number Theory 15, No. 5, 991-1007 (2019). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11R37 11S40 11S80 33B15 PDF BibTeX XML Cite \textit{T. Kashio}, Int. J. Number Theory 15, No. 5, 991--1007 (2019; Zbl 07063394) Full Text: DOI arXiv
Trihan, Fabien; Vauclair, David On the non commutative Iwasawa main conjecture for abelian varieties over function fields. (English) Zbl 1422.11233 Doc. Math. 24, 473-522 (2019). Reviewer: Thomas Oliver (Bristol) MSC: 11S40 11R23 11R34 11R42 11R58 11G05 11G10 PDF BibTeX XML Cite \textit{F. Trihan} and \textit{D. Vauclair}, Doc. Math. 24, 473--522 (2019; Zbl 1422.11233) Full Text: DOI
Kucukoğlu, Irem; Simsek, Yilmaz; Srivastava, H. M. A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials. (English) Zbl 1446.11038 Quaest. Math. 42, No. 4, 465-478 (2019). MSC: 11B68 11S40 11S80 33E20 26C05 30B40 44A20 PDF BibTeX XML Cite \textit{I. Kucukoğlu} et al., Quaest. Math. 42, No. 4, 465--478 (2019; Zbl 1446.11038) Full Text: DOI
Li, Chao 2-Selmer groups, 2-class groups and rational points on elliptic curves. (English) Zbl 1448.11108 Trans. Am. Math. Soc. 371, No. 7, 4631-4653 (2019). MSC: 11G05 14G35 11G40 11F33 PDF BibTeX XML Cite \textit{C. Li}, Trans. Am. Math. Soc. 371, No. 7, 4631--4653 (2019; Zbl 1448.11108) Full Text: DOI
Gras, Georges Heuristics and conjectures in the direction of a \(p\)-adic Brauer-Siegel theorem. (English) Zbl 07040636 Math. Comput. 88, No. 318, 1929-1965 (2019). MSC: 11S40 11R37 11R29 11R42 PDF BibTeX XML Cite \textit{G. Gras}, Math. Comput. 88, No. 318, 1929--1965 (2019; Zbl 07040636) Full Text: DOI
Kashio, Tomokazu On the ratios of Barnes’ multiple gamma functions to the \(p\)-adic analogues. (English) Zbl 1442.11158 J. Number Theory 199, 403-435 (2019). MSC: 11R80 11R27 11R42 11S40 11S80 33B15 PDF BibTeX XML Cite \textit{T. Kashio}, J. Number Theory 199, 403--435 (2019; Zbl 1442.11158) Full Text: DOI arXiv
Lee, H. Y.; Ryoo, C. S. Some symmetric identities for generalized Carlitz’s twisted \(q\)-tangent polynomials associated with \(p\)-adic integral on \(\mathbb{Z}_p\). (English) Zbl 1415.11040 J. Anal. Appl. 17, No. 1, 65-74 (2019). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{H. Y. Lee} and \textit{C. S. Ryoo}, J. Anal. Appl. 17, No. 1, 65--74 (2019; Zbl 1415.11040)
Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent \(p\)-adic variation of automorphic sheaves. (English) Zbl 1443.11109 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 249-276 (2018). MSC: 11G18 11G40 PDF BibTeX XML Cite \textit{F. Andreatta} et al., in: Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 249--276 (2018; Zbl 1443.11109) Full Text: DOI
Ryoo, Cheon Seoung Symmetric identities for \((P,Q)\)-analogue of tangent zeta function. (English) Zbl 1423.11058 Symmetry 10, No. 9, Paper No. 395, 12 p. (2018). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{C. S. Ryoo}, Symmetry 10, No. 9, Paper No. 395, 12 p. (2018; Zbl 1423.11058) Full Text: DOI
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)
Ryoo, C. S. A note on the Carlitz’s type \((h,q)\)-tangent numbers and polynomials. (English) Zbl 1429.11054 JP J. Algebra Number Theory Appl. 40, No. 2, 153-163 (2018). MSC: 11B75 05A15 11S40 11S80 PDF BibTeX XML Cite \textit{C. S. Ryoo}, JP J. Algebra Number Theory Appl. 40, No. 2, 153--163 (2018; Zbl 1429.11054) Full Text: DOI
Kwon, Jongkyum; Pyo, Sung-Soo Symmetric identities of the degenerate modified \(q\)-Euler polynomials under the symmetric group. (English) Zbl 1439.11066 Honam Math. J. 40, No. 4, 671-679 (2018). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{J. Kwon} and \textit{S.-S. Pyo}, Honam Math. J. 40, No. 4, 671--679 (2018; Zbl 1439.11066) Full Text: DOI
Kurinczuk, R.; Matringe, N. Extension of Whittaker functions and test vectors. (English) Zbl 1444.11101 Res. Number Theory 4, No. 3, Paper No. 31, 18 p. (2018). MSC: 11F70 11F66 PDF BibTeX XML Cite \textit{R. Kurinczuk} and \textit{N. Matringe}, Res. Number Theory 4, No. 3, Paper No. 31, 18 p. (2018; Zbl 1444.11101) Full Text: DOI
Pantchichkine, Alexei Constructions of \(p\)-adic \(L\)-functions and admissible measures for Hermitian modular forms. (English) Zbl 1438.11098 Sarajevo J. Math. 14(27), No. 2, 223-237 (2018). MSC: 11F67 11F85 11F33 16W50 16E45 PDF BibTeX XML Cite \textit{A. Pantchichkine}, Sarajevo J. Math. 14(27), No. 2, 223--237 (2018; Zbl 1438.11098) Full Text: DOI
Kings, Guido (ed.); Sujatha, Ramdorai (ed.); Urban, Eric (ed.); Venjakob, Otmar (ed.) Algebraic number theory. Abstracts from the workshop held June 24–30, 2018. (Algebraische Zahlentheorie.) (English) Zbl 1409.00098 Oberwolfach Rep. 15, No. 2, 1785-1844 (2018). MSC: 00B05 00B25 11Dxx 11Exx 11Fxx 11Gxx 11Mxx 11Rxx 11Sxx 11-06 PDF BibTeX XML Cite \textit{G. Kings} (ed.) et al., Oberwolfach Rep. 15, No. 2, 1785--1844 (2018; Zbl 1409.00098) Full Text: DOI
Barrera Salazar, Daniel Overconvergent cohomology of Hilbert modular varieties and \(p\)-adic \(L\)-functions. (Cohomologie surconvergente des variétés modulaires de Hilbert et fonctions \(L\) \(p\)-adiques.) (English. French summary) Zbl 1446.11083 Ann. Inst. Fourier 68, No. 5, 2177-2213 (2018). MSC: 11F41 11F67 11S80 PDF BibTeX XML Cite \textit{D. Barrera Salazar}, Ann. Inst. Fourier 68, No. 5, 2177--2213 (2018; Zbl 1446.11083) Full Text: DOI
Hoffmann, Werner; Wakatsuki, Satoshi On the geometric side of the Arthur trace formula for the symplectic group of rank 2. (English) Zbl 1442.11002 Memoirs of the American Mathematical Society 1224. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3102-0/print; 978-1-4704-4825-7/ebook). vi, 92 p. (2018). MSC: 11-02 11F72 11S90 11R42 11E45 22E30 22E35 PDF BibTeX XML Cite \textit{W. Hoffmann} and \textit{S. Wakatsuki}, On the geometric side of the Arthur trace formula for the symplectic group of rank 2. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1442.11002) Full Text: DOI arXiv
Ryoo, C. S. On degenerate Carlitz-type \((h, q)\)-tangent numbers and polynomials. (English) Zbl 1405.11024 J. Algebra Appl. Math. 16, No. 2, 119-130 (2018). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{C. S. Ryoo}, J. Algebra Appl. Math. 16, No. 2, 119--130 (2018; Zbl 1405.11024)
Hirano, Yuichi Congruences of modular forms and the Iwasawa \(\lambda\)-invariants. (English. French summary) Zbl 1446.11076 Bull. Soc. Math. Fr. 146, No. 1, 1-79 (2018). MSC: 11F33 11R23 11F67 11F75 14F30 PDF BibTeX XML Cite \textit{Y. Hirano}, Bull. Soc. Math. Fr. 146, No. 1, 1--79 (2018; Zbl 1446.11076) Full Text: DOI
Kang, Ming-Hsuan; Li, Wen-Ching Winnie; Wang, Chian-Jen Zeta and \(L\)-functions of finite quotients of apartments and buildings. (English) Zbl 06976728 Isr. J. Math. 228, No. 1, 79-117 (2018). MSC: 11F66 22E35 11F70 20E05 PDF BibTeX XML Cite \textit{M.-H. Kang} et al., Isr. J. Math. 228, No. 1, 79--117 (2018; Zbl 06976728) Full Text: DOI arXiv
Dasgupta, Samit; Kakde, Mahesh; Ventullo, Kevin On the Gross-Stark conjecture. (English) Zbl 1416.11160 Ann. Math. (2) 188, No. 3, 833-870 (2018). Reviewer: J. G. M. Mars (Utrecht) MSC: 11R42 11R80 11F41 11F80 PDF BibTeX XML Cite \textit{S. Dasgupta} et al., Ann. Math. (2) 188, No. 3, 833--870 (2018; Zbl 1416.11160) Full Text: DOI arXiv
Kohen, Daniel; Pacetti, Ariel Anticyclotomic \(p\)-adic \(L\)-functions for elliptic curves at some additive reduction primes. (Fonctions \(p\)-adiques anti-cyclotomiques pour les courbes elliptiques en des premiers de réduction additive.) (English. French summary) Zbl 06971688 C. R., Math., Acad. Sci. Paris 356, No. 10, 973-983 (2018). MSC: 11G40 11G05 PDF BibTeX XML Cite \textit{D. Kohen} and \textit{A. Pacetti}, C. R., Math., Acad. Sci. Paris 356, No. 10, 973--983 (2018; Zbl 06971688) Full Text: DOI arXiv
Kim, A Hyun; An, Chae Kyeong; Lee, Hui Young Symmetric identities involving the modified \((p,q)\)-Hurwitz Euler zeta function. (English) Zbl 1441.11036 J. Appl. Math. Inform. 36, No. 5-6, 555-565 (2018). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{A H. Kim} et al., J. Appl. Math. Inform. 36, No. 5--6, 555--565 (2018; Zbl 1441.11036) Full Text: DOI
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
Guitart, Xavier; Masdeu, Marc Periods of modular \(\mathrm{GL}_2\)-type abelian varieties and \(p\)-adic integration. (English) Zbl 1443.11125 Exp. Math. 27, No. 3, 344-361 (2018). MSC: 11G40 11F41 11Y99 PDF BibTeX XML Cite \textit{X. Guitart} and \textit{M. Masdeu}, Exp. Math. 27, No. 3, 344--361 (2018; Zbl 1443.11125) Full Text: DOI
Hesselholt, Lars Topological Hochschild homology and the Hasse-Weil zeta function. (English) Zbl 1402.19002 Ausoni, Christian (ed.) et al., An alpine bouquet of algebraic topology. Alpine algebraic and applied topology conference, Saas-Almagell, Switzerland, August 15–21, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2911-9/pbk; 978-1-4704-4774-8/ebook). Contemporary Mathematics 708, 157-180 (2018). MSC: 19D55 11S40 14F30 PDF BibTeX XML Cite \textit{L. Hesselholt}, Contemp. Math. 708, 157--180 (2018; Zbl 1402.19002) 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
Gehrmann, Lennart On Shalika models and \(p\)-adic \(L\)-functions. (English) Zbl 1414.11062 Isr. J. Math. 226, No. 1, 237-294 (2018). Reviewer: Lejla Smajlovic (Sarajevo) MSC: 11F67 11F70 11F66 PDF BibTeX XML Cite \textit{L. Gehrmann}, Isr. J. Math. 226, No. 1, 237--294 (2018; Zbl 1414.11062) Full Text: DOI
Rosen, Julian A general family of congruences for Bernoulli numbers. (English) Zbl 1435.11047 Int. J. Number Theory 14, No. 7, 1895-1902 (2018). MSC: 11B68 11A07 11S40 PDF BibTeX XML Cite \textit{J. Rosen}, Int. J. Number Theory 14, No. 7, 1895--1902 (2018; Zbl 1435.11047) Full Text: DOI arXiv
Jacinto, Joaquín Rodrigues de Rham \((\varphi,\Gamma)\)-modules and \(p\)-adic \(L\) functions. (\((\varphi,\Gamma)\)-modules de de Rham et fonctions \(L\) \(p\)-adiques.) (French. English summary) Zbl 1451.11132 Algebra Number Theory 12, No. 4, 885-934 (2018). MSC: 11S40 11R23 11S37 PDF BibTeX XML Cite \textit{J. R. Jacinto}, Algebra Number Theory 12, No. 4, 885--934 (2018; Zbl 1451.11132) Full Text: DOI
Liu, Ruochuan; Wan, Daqing Artin conjecture for \(p\)-adic Galois representations of function fields. (English) Zbl 1451.11048 Math. Res. Lett. 25, No. 1, 143-157 (2018). MSC: 11F80 11F85 PDF BibTeX XML Cite \textit{R. Liu} and \textit{D. Wan}, Math. Res. Lett. 25, No. 1, 143--157 (2018; Zbl 1451.11048) Full Text: DOI arXiv
Ryoo, Cheon Seoung Differential equations associated with twisted \((h,q)\)-tangent polynomials. (English) Zbl 1391.11040 J. Appl. Math. Inform. 36, No. 3-4, 205-212 (2018). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{C. S. Ryoo}, J. Appl. Math. Inform. 36, No. 3--4, 205--212 (2018; Zbl 1391.11040) Full Text: DOI
Bober, Jonathan; Goldmakher, Leo; Granville, Andrew; Koukoulopoulos, Dimitris The frequency and the structure of large character sums. (English) Zbl 1409.11079 J. Eur. Math. Soc. (JEMS) 20, No. 7, 1759-1818 (2018). Reviewer: Huaning Liu (Shaanxi) MSC: 11N60 11K41 11L40 PDF BibTeX XML Cite \textit{J. Bober} et al., J. Eur. Math. Soc. (JEMS) 20, No. 7, 1759--1818 (2018; Zbl 1409.11079) Full Text: DOI arXiv
Bergunde, Felix; Gehrmann, Lennart Leading terms of anticyclotomic Stickelberger elements and \(p\)-adic periods. (English) Zbl 1451.11039 Trans. Am. Math. Soc. 370, No. 9, 6297-6329 (2018). MSC: 11F67 11F75 11G18 11G40 PDF BibTeX XML Cite \textit{F. Bergunde} and \textit{L. Gehrmann}, Trans. Am. Math. Soc. 370, No. 9, 6297--6329 (2018; Zbl 1451.11039) Full Text: DOI
Pak, Hong-Kyung; Jeong, Joohee; Kang, Dong-Jin; Rim, Seog-Hoon Changhee-Genocchi numbers and their applications. (English) Zbl 1413.11046 Ars Comb. 136, 153-159 (2018). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{H.-K. Pak} et al., Ars Comb. 136, 153--159 (2018; Zbl 1413.11046)
Longo, Matteo; Pati, Maria Rosaria Exceptional zero formulae for anticyclotomic \(p\)-adic \(L\)-functions of elliptic curves in the ramified case. (English) Zbl 06876044 J. Number Theory 190, 187-211 (2018). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11G40 PDF BibTeX XML Cite \textit{M. Longo} and \textit{M. R. Pati}, J. Number Theory 190, 187--211 (2018; Zbl 06876044) Full Text: DOI arXiv
Hara, Takashi; Ochiai, Tadashi The cyclotomic Iwasawa main conjecture for Hilbert cusp forms with complex multiplication. (English) Zbl 1442.11145 Kyoto J. Math. 58, No. 1, 1-100 (2018). MSC: 11R23 11F41 11F67 PDF BibTeX XML Cite \textit{T. Hara} and \textit{T. Ochiai}, Kyoto J. Math. 58, No. 1, 1--100 (2018; Zbl 1442.11145) Full Text: DOI Euclid
Ryoo, Cheon Seoung Indentities of symmetry for generalized Carlitz’s \(q\)-tangent polynomials associated with \(p\)-adic integral on \(\mathbb{Z}_p\). (English) Zbl 1390.11050 J. Appl. Math. Inform. 36, No. 1-2, 115-120 (2018). MSC: 11B68 11S40 11S80 PDF BibTeX XML Cite \textit{C. S. Ryoo}, J. Appl. Math. Inform. 36, No. 1--2, 115--120 (2018; Zbl 1390.11050) Full Text: DOI
Chacón-Cortés, L. F.; Zúñiga-Galindo, W. A. Heat traces and spectral zeta functions for \(p\)-adic Laplacians. (English. Russian original) Zbl 1398.11143 St. Petersbg. Math. J. 29, No. 3, 529-544 (2018); translation from Algebra Anal. 29, No. 3, 144-166 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S40 11S80 11F72 PDF BibTeX XML Cite \textit{L. F. Chacón-Cortés} and \textit{W. A. Zúñiga-Galindo}, St. Petersbg. Math. J. 29, No. 3, 529--544 (2018; Zbl 1398.11143); translation from Algebra Anal. 29, No. 3, 144--166 (2017) Full Text: DOI
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
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
Casazza, Daniele; Rotger, Victor Stark points and the Hida-Rankin \(p\)-adic \(L\)-function. (English) Zbl 1433.11071 Ramanujan J. 45, No. 2, 451-473 (2018). MSC: 11G05 11G40 11F67 11F33 11G16 PDF BibTeX XML Cite \textit{D. Casazza} and \textit{V. Rotger}, Ramanujan J. 45, No. 2, 451--473 (2018; Zbl 1433.11071) Full Text: DOI