Results 51 to 60 of about 230 (160)
Unitary Friedberg–Jacquet periods and anticyclotomic p-adic L-functions
Forum of Mathematics, SigmaWe extend the construction of the p-adic L-function interpolating unitary Friedberg–Jacquet periods in previous work of the author to include the p-adic variation of Maass–Shimura differential operators.
Andrew Graham
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Vladimirov–Pearson operators on ζ$\zeta$‐regular ultrametric Cantor sets
Mathematische Nachrichten, Volume 298, Issue 12, Page 3779-3790, December 2025.Abstract A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta function. Under certain mild conditions on that measure, it is shown that it is an integral operator similar to the Vladimirov–Taibleson operator on the p$p$‐adic ...
Patrick Erik Bradley
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Automorphic Forms on the Stack of G-Zips [PDF]
Results in Mathematics, 2019 Improved version. To appear in Results in Mathematics.
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Smith theory and cyclic base change functoriality
Forum of Mathematics, PiLafforgue and Genestier-Lafforgue have constructed the global and (semisimplified) local Langlands correspondences for arbitrary reductive groups over function fields.
Tony Feng
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Tectonics, Volume 44, Issue 12, December 2025.Abstract Tectonic underplating of high‐pressure/low‐temperature (HP‐LT) tectonic slices is a key mechanism in crustal growth at convergent margins. Yet, the processes controlling the geometry, depth and sequence of underplating events remain poorly constrained.
Maïlys Bouhot +8 more
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THE INTEGRAL OPERATOR OF PROJECTION AND POINCARE SERIES FOR HOLOMORPHIC (Q; Ρ ) − FORMS
Вестник Кемеровского государственного университета, 2013 The paper addresses the spaces of multiplicate integrable automorphic forms on the plane domain D and on the compact Riemann surface D/G; where the group G is isomorphic to Fuchsian group of the first kind.
O. A. Sergeeva
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Character sum, reciprocity, and Voronoi formula
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3797-3823, December 2025.Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
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Quadratic Forms and Automorphic Forms [PDF]
, 2013 These notes give a friendly four-part introduction to various aspects of the arithmetic and analytic theories of quadratic forms, aimed at a graduate-level audience. The main themes discussed are: geometry and local-global methods, theta functions and Siegel’s theorem, Clifford algebras and spin groups, and adelic theta liftings via the Weil ...
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A System Reanalysis of the Current Greenhouse Gases Budget of Terrestrial Ecosystems in Russia
Global Biogeochemical Cycles, Volume 39, Issue 10, October 2025.Abstract This study synthesizes the budgets of three greenhouse gases (GHG, namely CO2, CH4, N2O) for Russia over two decades (2000–2009 and 2010–2019) using bottom‐up and top‐down approaches, as part of the Regional Carbon Cycle Assessment and Processes, Phase 2 (RECCAP2).
Anatoly Shvidenko +24 more
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On the automorphic forms of a noncongruence subgroup.
Michigan Mathematical Journal, 1987 This paper gives the first example of a noncongruence subgroup which is ''essentially cuspidal'', that is, for which cuspidal eigenfunctions exist in abundance. It is a discrete subgroup of \(SL_ 2({\mathbb{C}})\) obtained as the kernel of a Kubota symbol.
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