Found 255 Documents (Results 1–100)
Shimura lift of Rankin-Cohen brackets of eigenforms and theta series. arXiv:2406.14254
Preprint, arXiv:2406.14254 [math.NT] (2024).
Double Eisenstein series and modular forms of level \(4\). arXiv:2403.06917
Preprint, arXiv:2403.06917 [math.NT] (2024).
Representations of squares by certain diagonal quadratic forms in an odd number of variables. (English) Zbl 07784541
Reviewer: Nihal Özgür (İzmir)
Hecke integration of singular functions. (Intégration de Hecke de fonctions singulières.) (French. English summary) Zbl 07779476
Purely arithmetic PDEs over a \(p\)-adic field: \(\delta\)-characters and \(\delta\)-modular forms. (English) Zbl 07735010
Memoirs of the European Mathematical Society 6. Berlin: European Mathematical Society (ISBN 978-3-98547-057-0/pbk; 978-3-98547-557-5/ebook). viii, 106 p. (2023).
Reviewer: Manouchehr Misaghian (Prairie View)
Explicit bounds on the coefficients of the modular polynomials and the size of \(X_0(N)\). arXiv:2310.14428
Preprint, arXiv:2310.14428 [math.NT] (2023).
Degree and height estimates for modular equations on PEL Shimura varieties. (English) Zbl 07731389
Reviewer: Riccardo Pengo (Hannover)
Derivatives of Eisenstein series of weight 2 and intersections of modular correspondences. (English) Zbl 1497.11107
Congruence primes for Siegel modular forms of paramodular level and applications to the Bloch-Kato conjecture. (English) Zbl 1475.11082
Shimura lifts of certain classes of modular forms of half-integral weight. (English) Zbl 1472.11140
Reviewer: Ilker Inam (Bilecik)
Weak Siegel-Weil formula for \(\mathbb{M}_2(\mathbb{Q})\) and arithmetic on quaternions. (English) Zbl 1475.11213
Reviewer: Min Ho Lee (Cedar Falls)
Corrigendum to: “Intersection numbers of modular correspondences for genus zero modular curves”. (English) Zbl 1470.11091
Kodaira-Spencer isomorphisms and degeneracy maps on Iwahori-level Hilbert modular varieties: the saving trace. arXiv:2111.10160
Preprint, arXiv:2111.10160 [math.NT] (2021).
Moduli relations between \(\ell\)-adic representations and the regular inverse Galois problem. (English) Zbl 1497.11114
Hecke operators and systems of eigenvalues on Siegel cusp forms. (English) Zbl 1521.11004
Memoirs of the American Mathematical Society 1306. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4334-4/pbk; 978-1-4704-6343-4/ebook). v, 165 p. (2020).
Reviewer: Suresh Nampuri (Lisboa)
Solutions to arithmetic differential equations in algebraically closed fields. (English) Zbl 1465.11145
Hall algebras and graphs of Hecke operators for elliptic curves. (English) Zbl 1468.14033
Reviewer: Alexandre Minets (Klosterneuburg)
\(p\)-adic distribution of CM points and Hecke orbits. I: Convergence towards the Gauss point. (English) Zbl 1469.11189
A construction of antisymmetric modular forms for Weil representations. (English) Zbl 1477.11077
Reviewer: Michael H. Mertens (Liverpool)
Congruence primes for automorphic forms on unitary groups and applications to the arithmetic of Ikeda lifts. (English) Zbl 1439.11119
Reviewer: Goran Muić (Zagreb)
Intersection numbers of modular correspondences for genus zero modular curves. (English) Zbl 1440.11070
J. Number Theory 209, 167-194 (2020); corrigendum ibid. 219, 460-465 (2021).
Reviewer: Kevin Keating (Gainesville)
On the intersection motive of certain Shimura varieties: the case of Siegel threefolds. (English) Zbl 1442.14090
Erratum to “Remarks on the theta decomposition of vector-valued Jacobi forms” [J. number theory 197 (2019) 250-267]. (English) Zbl 1437.11075
Remarks on the theta decomposition of vector-valued Jacobi forms. (English) Zbl 1414.11060
J. Number Theory 197, 250-267 (2019); erratum ibid. 201, 473-474 (2019).
Reviewer: Shaul Zemel (Jerusalem)
On zeros of certain cusp forms of integral weight for full modular group. (English) Zbl 1475.11068
Akbary, Amir (ed.) et al., Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. Cham: Springer. Springer Proc. Math. Stat. 251, 267-271 (2018).
Galois ultrametric distribution of an isogeny class of elliptic curves: the case of bad reduction. An application to local heights. (Répartition galoisienne ultramétrique d’une classe d’isogénie de courbes elliptiques: le cas de la mauvaise réduction. Application aux hauteurs locales.) (French. English summary) Zbl 1450.11054
On newforms of half-integral weight and Jacobi forms. (English) Zbl 1441.11106
Reviewer: Ilker Inam (Bilecik)
An unexpected trace relation of CM points. arXiv:1806.11337
Preprint, arXiv:1806.11337 [math.NT] (2018).
Supersingular zeros of divisor polynomials of elliptic curves of prime conductor. (English) Zbl 1433.11074
Functional equations for double series of Euler-Hurwitz-Barnes type with coefficients. (English) Zbl 1421.11066
Local coefficient matrices and the metaplectic correspondence. (English) Zbl 1388.22007
Reviewer: Andrzej Dąbrowski (Szczecin)
Completely multiplicative functions of sum zero. (Fonctions complètement multiplicatives de somme nulle.) (French. English summary) Zbl 1405.11050
On Doi-Naganuma lifting. (English) Zbl 1423.11090
The Igusa quartic and Borcherds products. (English) Zbl 1417.11073
Faber, Carel (ed.) et al., K3 surfaces and their moduli. Basel: Birkhäuser/Springer. Prog. Math. 315, 147-170 (2016).
WITHDRAWN: On triple zeta values of even weight and their connections with period polynomials. arXiv:1603.01013
Preprint, arXiv:1603.01013 [math.NT] (2016); retraction notice ibid.
Multiple zeta values, multiple Eisenstein series, and period polynomials. (Japanese. English summary) Zbl 1359.11074
Limit Mordell-Weil groups and their \(p\)-adic closure. (English) Zbl 1339.11054
Reviewer: Michel Waldschmidt (Paris)
A Gross-Kohnen-Zagier type theorem for higher-codimensional Heegner cycles. (English) Zbl 1359.11066
Reviewer: Matteo Longo (Padova)
On the interior motive of certain Shimura varieties: the case of Picard surfaces. (English) Zbl 1349.14106
Saito-Kurokawa lifts of square-free level. (English) Zbl 1326.11019
Reviewer: Noburo Ishii (Kyoto)
Theory of newforms of half-integral weight. (English) Zbl 1328.11051
Reviewer: Ilker Inam (Bilecik)
Algebraic twists of modular forms and Hecke orbits. (English) Zbl 1344.11036
Reviewer: Valentin Blomer (Göttingen)
Automorphic products of singular weight for simple lattices. (English) Zbl 1316.11031
Reviewer: Meinhard Peters (Münster)
Around associators. (English) Zbl 1353.14034
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 2. Cambridge: Cambridge University Press (ISBN 978-1-107-69363-0/pbk; 978-1-107-29752-4/ebook). London Mathematical Society Lecture Note Series 415, 105-117 (2014).
\(\Lambda\)-adic Barsotti-Tate groups. (English) Zbl 1312.11033
Reviewer: Gabriel D. Villa-Salvador (México D. F.)
Koecher-Maass series of a certain half-integral weight modular form related to the Duke-Imamoḡlu-Ikeda lift. (English) Zbl 1322.11041
Universal Kummer families over Shimura curves. (English) Zbl 1310.14039
Laza, Radu (ed.) et al., Arithmetic and geometry of \(K3\) surfaces and Calabi-Yau threefolds. Proceedings of the workshop, Toronto, Canada, August 16–25, 2011. New York, NY: Springer (ISBN 978-1-4614-6402-0/hbk; 978-1-4614-6403-7/ebook). Fields Institute Communications 67, 201-265 (2013).
Reviewer: Paola Comparin (Consepción)
On Shimura’s decomposition. (English) Zbl 1318.11066
Equidistribution of periodic points for modular correspondences. (English) Zbl 1338.37012
Reviewer: Christoph Aistleitner (Graz)
A conjecture of Serre type and companion forms related to \(\mathrm{GSp}_4\). (Conjecture de type de Serre et formes compagnons pour \(\mathrm{GSp}_4\).) (French. English summary) Zbl 1312.11042
Reviewer: Wen-Wei Li (Beijing)
Manifestations of the general modular relation. (English) Zbl 1296.11029
Reviewer: Mehmet Cenkci (Antalya)
Lifting conjectures from vector valued Siegel modular forms of degree two. (English) Zbl 1295.11045
Reviewer: Nathan Ryan (Lewisburg)
Regularized theta lifts for orthogonal groups over totally real fields. (English) Zbl 1268.11058
Reviewer: Min Ho Lee (Cedar Falls)
Fourier expansion of Arakawa lifting. I: An explicit formula and examples of non-vanishing lifts. (English) Zbl 1306.11035
Companion forms and the dual BGG complex for \(\mathrm{GSp}_4\). (Formes compagnons et complexe BGG dual pour \(\mathrm{GSp}_4\).) (French. English summary) Zbl 1306.11045
Computational aspects of Artin \(L\)-functions. (English) Zbl 1337.11030
Campillo, Antonio (ed.) et al., Zeta functions in algebra and geometry. Second international workshop, Universitat de les Illes Balears, Palma de Mallorca, Spain, May 3–7, 2010. Proceedings. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (ISBN 978-0-8218-6900-0/pbk). Contemporary Mathematics 566, 3-20 (2012).
Linear dependence of certain \(L\)-values of half-integral weight modular forms. (English) Zbl 1318.11068
Modular forms: basics and beyond. (English) Zbl 1234.11049
Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-1-4614-2124-5/hbk; 978-1-4614-2125-2/ebook). x, 175 p. (2012).
Reviewer: Stefan Kühnlein (Karlsruhe)
Differential overconvergence. (English) Zbl 1244.11059
Crespo, Teresa (ed.) et al., Algebraic methods in dynamical systems. Proceedings of the conference, Będlewo, Poland, May 16–22, 2010. Dedicated to Michael Singer on his 60th birthday. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-13-3/pbk). Banach Center Publications 94, 99-129 (2011).
Reviewer: Olaf Ninnemann (Berlin)
On the cuspidality of pullbacks of Siegel Eisenstein series and applications to the Bloch-Kato conjecture. (English) Zbl 1285.11075
Reviewer: Olaf Ninnemann (Berlin)
The Griffiths group of the generic abelian 3-fold. (English) Zbl 1222.14010
Srinivas, V. (ed.), Cycles, motives and Shimura varieties. Proceedings of the international colloquium, Mumbai, India, January 3–12, 2008. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-8487-085-5/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 21, 449-467 (2010).
Reviewer: Werner Kleinert (Berlin)
Lifts of projective congruence groups. (English) Zbl 1238.11051
Reviewer: A. W. Mason (Glasgow)
Special values of \(L\)-functions on \(\text{GSp}_4\times\text{GL}_2\) and the non-vanishing of Selmer groups. (English) Zbl 1239.11059
Reviewer: Nathan Ryan (Lewisburg)
Large values of eigenfunctions on arithmetic hyperbolic surfaces. (English) Zbl 1219.11071
Reviewer: Florin Nicolae (Berlin)
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