Results 51 to 60 of about 230 (160)
Modular forms for three-loop banana integrals
Journal of High Energy PhysicsWe study periods of multi-parameter families of K3 surfaces, which are relevant to compute the maximal cuts of certain classes of Feynman integrals. We focus on their automorphic properties, and we show that generically the periods define orthogonal ...
Claude Duhr
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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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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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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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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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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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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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Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$
Mathematika, Volume 71, Issue 4, October 2025.Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
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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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The conjugacy problem for ascending HNN‐extensions of free groups
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract We give an algorithm to solve the Conjugacy Problem for ascending HNN‐extensions of free groups. To do this, we give algorithms to solve certain problems on dynamics of free group endomorphisms.
Alan D. Logan
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