Found 255 Documents (Results 1–100)
Manin-Drinfeld cycles and derivatives of \(L\)-functions. (English) Zbl 07891434
Reviewer: Yuval Z. Flicker (Jerusalem)
Generalized Mahler measures of Laurent polynomials. (English) Zbl 07887387
Reviewer: Władysław Narkiewicz (Wrocław)
General multiple Dirichlet series from perverse sheaves. (English) Zbl 07865951
Reviewer: Solomon Friedberg (Chestnut Hill)
On the Northcott property for special values of \(L\)-functions. (English) Zbl 07810703
Reviewer: Sami Omar (Sukhair)
Determinants of Mahler measures and special values of \(L\)-functions. arXiv:2409.14714
Preprint, arXiv:2409.14714 [math.NT] (2024).
On the Artin formalism for triple product \(p\)-adic \(L\)-functions: Chow–Heegner points vs. Heegner points. arXiv:2409.08645
Preprint, arXiv:2409.08645 [math.NT] (2024).
\(p\)-adic \(L\)-functions for \(P\)-ordinary Hida families on unitary groups. arXiv:2409.03783
Preprint, arXiv:2409.03783 [math.NT] (2024).
Non-reductive special cycles and Twisted Arithmetic Fundamental Lemma. arXiv:2406.00986
Preprint, arXiv:2406.00986 [math.NT] (2024).
High dimensional Gross–Zagier formula: a survey. arXiv:2402.17656
Preprint, arXiv:2402.17656 [math.NT] (2024).
Hypergeometric local systems over \(\mathbb{Q}\) with Hodge vector \((1,1,1,1)\). arXiv:2401.13529
Preprint, arXiv:2401.13529 [math.AG] (2024).
Arithmetic conjectures suggested by the statistical behavior of modular symbols. (English) Zbl 1540.11063
Reviewer: B. Z. Moroz (Bonn)
A numerical approach toward the \(p\)-adic Beilinson conjecture for elliptic curves over \(\mathbb{Q}\). (English) Zbl 07684029
Special values of \(L\)-functions on regular arithmetic schemes of dimension 1. (English) Zbl 1536.14018
On blended extensions in filtered tannakian categories and motives with maximal unipotent radicals. arXiv:2307.15487
Preprint, arXiv:2307.15487 [math.AG] (2023).
Zeta-polynomials, superpolynomials, DAHA and plane curve singularities. arXiv:2304.02200
Preprint, arXiv:2304.02200 [math.QA] (2023).
More arithmetic fundamental lemma conjectures: the case of Bessel subgroups. (English) Zbl 1529.11070
Reviewer: Yuval Z. Flicker (Jerusalem)
Special values of the zeta function of an arithmetic surface. (English) Zbl 1523.14040
Reviewer: Yigeng Zhao (Hangzhou)
Apéry limits for elliptic \(L\)-values. (English) Zbl 1503.11082
Reviewer: Noriko Yui (Kingston)
\(L\)-values for conductor 32. (English) Zbl 1489.11075
Reviewer: François Brunault (Lyon)
Compatibility of special value conjectures with the functional equation of zeta functions. (English) Zbl 1487.11065
Reviewer: Kazuma Morita (Sapporo)
Bounding Selmer groups for the Rankin-Selberg convolution of Coleman families. Justification of hypotheses. (English) Zbl 1477.11093
Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces. (English) Zbl 1471.14045
The moments and statistical distribution of class number of primes over function fields. (English) Zbl 1479.11155
Weil representation and arithmetic fundamental lemma. (English) Zbl 1486.11059
Reviewer: Zhengyu Mao (Newark)
Kato’s Euler system in families. II. (Le système d’Euler de Kato en famillie. II.) (English) Zbl 1469.11166
Maximal parahoric arithmetic transfers, resolutions and modularity. arXiv:2112.11994
Preprint, arXiv:2112.11994 [math.NT] (2021).
On mean values of multivariable complex valued multiplicative functions and applications. (English) Zbl 1471.11250
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. Adv. Stud. Pure Math. 84, 23-64 (2020).
Reviewer: B. Z. Moroz (Bonn)
Hermitian \(K\)-theory, Dedekind \(\zeta \)-functions, and quadratic forms over rings of integers in number fields. (English) Zbl 1456.11221
Arithmetic diagonal cycles on unitary Shimura varieties. (English) Zbl 1456.14031
Reviewer: Riccardo Pengo (Lyon)
Central values of \(L\)-functions of cubic twists. (English) Zbl 1464.11064
Reviewer: Remke Kloosterman (Padova)
Mahler measure of a non-tempered Weierstrass form. (English) Zbl 1445.11122
Reviewer: Riccardo Pengo (København)
Mahler measures of elliptic modular surfaces. (English) Zbl 1448.11190
Reviewer: Toufik Zaïmi (Riyadh)
Erratum/addendum to: “Kontsevich-Zagier integrals for automorphic Green’s functions. II”. (English) Zbl 1469.11141
Rational Points on Rational Curves. arXiv:1911.12551
Preprint, arXiv:1911.12551 [math.NT] (2019).
Periods, cycles, and \(L\)-functions: a relative trace formula approach. (English) Zbl 1443.11078
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). 487-521 (2018).
Explicit \(L\)-functions and a Brauer-Siegel theorem for Hessian elliptic curves. (English. French summary) Zbl 1441.11143
Periods of mixed Tate motives over real quadratic number rings. (English) Zbl 1436.11108
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXV. Workshop and summer school, Białowieża, Poland, June 26 – July 2, 2016. Cham: Birkhäuser. Trends Math., 189-198 (2018).
Reviewer: Jiangtao Li (Peking)
Congruences of modular forms and the Iwasawa \(\lambda\)-invariants. (Congruences de formes modulaires et \(\lambda\)-invariants d’Iwasawa.) (English. French summary) Zbl 1446.11076
Weil-étale cohomology and zeta-values of proper regular arithmetic schemes. (English) Zbl 1404.14024
Reviewer: Timo Keller (Bayreuth)
Polylogarithm for families of commutative group schemes. (English) Zbl 1464.14012
Reviewer: Giuseppe Ancona (Strasbourg)
Kohnen’s formula and a conjecture of Darmon and Tornaría. (English) Zbl 1391.11072
Reviewer: Hang Xue (Tucson)
A class number formula for Picard modular surfaces. arXiv:1801.07383
Preprint, arXiv:1801.07383 [math.NT] (2018).
Shtukas and the Taylor expansion of \(L\)-functions. (English) Zbl 1385.11032
Reviewer: J. G. M. Mars (Utrecht)
Nonvanishing of central values of \(L\)-functions of newforms in \(S_2 (\Gamma_0 (dp^2))\) twisted by quadratic characters. (English) Zbl 1376.11039
Reviewer: Anatoly N. Kochubei (Kyïv)
Kontsevich-Zagier integrals for automorphic Green’s functions. II. (English) Zbl 1422.11120
Ramanujan J. 42, No. 3, 623-688 (2017); erratum/addendum ibid. 49, No. 1, 231-235 (2019).
Graded structures and differential operators on nearly holomorphic and quasimodular forms on classical groups. (English) Zbl 1424.11096
A notion of finite multiple zeta values associated with the Frobenius of the fundamental group of \(\mathbb{P}^1\setminus\{0,1,\infty\}\). (Une notion de multizêtas finis associée au Frobenius du groupe fondamental de \(\mathbb{P}^1\setminus\{0,1,\infty\}\).) (French. English summary) Zbl 1329.11092
Cohomology of local systems on the moduli of principally polarized abelian surfaces. (English) Zbl 1394.11041
Mahler measures as linear combinations of \(L\)-values of multiple modular forms. (English) Zbl 1344.11070
Reviewer: Władysław Narkiewicz (Wrocław)
Algebraic values of certain analytic functions. (English) Zbl 1388.11041
Reviewer: Michel Waldschmidt (Paris)
Automorphic Galois representations and the cohomology of Shimura varieties. (English) Zbl 1373.11044
Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 367-389 (2014).
\(p\)-adic \(L\)-functions and Euler systems: a tale in two trilogies. (English) Zbl 1369.11038
Diamond, Fred (ed.) et al., Automorphic forms and Galois representations. Proceedings of the 94th London Mathematical Society (LMS) – EPSRC Durham symposium, Durham, UK, July 18–28, 2011. Volume 1. Cambridge: Cambridge University Press (ISBN 978-1-107-69192-6/pbk; 978-1-107-44633-5/ebook). London Mathematical Society Lecture Note Series 414, 52-101 (2014).
Book review of: D. Delbourgo, Elliptic curves and big Galois representations. (German) Zbl 1335.00042
Kato’s Euler system in families. I. (Le système d’Euler de Kato en famille. I.) (French. English summary) Zbl 1311.11032
Reviewer: Laurent Berger (Lyon)
Diagonal hypersurfaces and the Bloch-Kato conjecture. I. (English) Zbl 1311.11053
Reviewer: B. Z. Moroz (Bonn)
The Mahler measure of a Calabi-Yau threefold and special \(L\)-values. (English) Zbl 1294.11187
Reviewer: Władysław Narkiewicz (Wrocław)
WITHDRAWN: Rankin-Selberg Euler systems and p-adic interpolation. arXiv:1405.3079
Preprint, arXiv:1405.3079 [math.NT] (2014); retraction notice ibid.
Congruences of algebraic \(L\)-functions of motives. arXiv:1410.1347
Preprint, arXiv:1410.1347 [math.NT] (2014).
The analogue of the Gauss class number problem in motivic cohomology. (English) Zbl 1350.11097
Reviewer: Hourong Qin (Nanjing)
Kato’s Euler system. (Le système d’Euler de Kato.) (French. English summary) Zbl 1311.11055
Harmonic Maass forms and periods. (English) Zbl 1328.11050
Reviewer: Ilker Inam (Bilecik)
Cycle classes for \(p\)-adic étale Tate twists and the image of \(p\)-adic regulators. (English) Zbl 1276.19004
Reviewer: Shun Tang (Beijing)
Iterated integrals, diagonal cycles and rational points on elliptic curves. (English) Zbl 1332.11054
Algèbre et théorie des nombres 2012/2. Besançon: Presses Universitaires de Franche-Comté. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2012/2, 19-46 (2012).
\(p\)-adic \(L\)-functions and the rationality of Darmon cycles. (English) Zbl 1303.11060
Reviewer: Andrzej Dąbrowski (Szczecin)
A note on the mean value of \(L\)-functions in function fields. (English) Zbl 1269.11110
Reviewer: Daniel Fiorilli (Ann Arbor)
Tensor and homotopy criteria for functional equations of \(\ell\)-adic and classical iterated integrals. (English) Zbl 1271.11068
Coates, John (ed.) et al., Non-abelian fundamental groups and Iwasawa theory. Cambridge: Cambridge University Press (ISBN 978-1-107-64885-2/pbk). London Mathematical Society Lecture Note Series 393, 258-310 (2012).
Reviewer: Sheldon T. Joyner (Boston)
Cohomological interpretation of quadratic modular symbols. arXiv:1204.5670
Preprint, arXiv:1204.5670 [math.NT] (2012).
Transformations of \(L\)-values. arXiv:1202.5630
Preprint, arXiv:1202.5630 [math.NT] (2012).
On mean values and non-vanishing of derivatives of \(L\)-functions in a nonlinear family. (English) Zbl 1221.11126
Reviewer: B. Z. Moroz (Bonn)
Bounds for the dimensions of \(p\)-adic multiple \(L\)-value spaces. (English) Zbl 1251.11049
Reviewer: Filippo Nuccio (Osaka)
Coleman’s \(\mathcal L\)-invariant and families of modular forms. (Représentations \(\mathcal L\)-adiques de groupes \(p\)-adiques.) (English. French summary) Zbl 1233.11075
Berger, Laurent (ed.) et al., Représentations \(p\)-adiques de groupes \(p\)-adiques III: Méthodes globales et géométriques. Paris: Société Mathématique de France (ISBN 978-2-85629-282-2/pbk). Astérisque 331, 1-12 (2010).
Reviewer: Andrzej Dąbrowski (Szczecin)
\(K_1\) of products of Drinfeld modular curves and special values of \(L\)-functions. (English) Zbl 1223.11065
Reviewer: Matilde Lalin (Montreal)
Faltings heights of CM cycles and derivatives of \(L\)-functions. (English) Zbl 1250.11061
Reviewer: Junecue Suh (Cambridge)
Stark-Heegner points and the cohomology of quaternionic Shimura varieties. (English) Zbl 1183.14030
Reviewer: Gerd Faltings (Bonn)
Supersingular module, Gross-Kudla formula and rational points of modular curves. (Module supersingulier, formule de Gross-Kudla et points rationnels de courbes modulaires.) (French) Zbl 1167.11023
Reviewer: Benoît Stroh (Paris)
Higher regulators, periods and special values of the degree 4 \(L\)-function of \(\text{GSp}(4)\). (Régulateurs supérieurs, périodes et valeurs spéciales de la fonction \(L\) de degré 4 de \(\text{GSp}(4)\).) (French. Abridged English version) Zbl 1168.11017
Reviewer: Werner Kleinert (Berlin)
Elliptic curves and big Galois representations. (English) Zbl 1188.11028
London Mathematical Society Lecture Note Series 356. Cambridge: Cambridge University Press (ISBN 978-0-521-72866-9/pbk). ix, 281 p. (2008).
Reviewer: Andrzej Dąbrowski (Szczecin)
Arithmetic structures on noncommutative tori with real multiplication. (English) Zbl 1147.14003
Reviewer: Snigdhayan Mahanta (Bures-sur-Yvette)
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