Results 51 to 60 of about 1,077,663 (191)
Pseudodifferential operators and Hecke operators
Applied Mathematics Letters, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
wiley +1 more source
Symmetry, Integrability and Geometry: Methods and Applications, 2007 Zhedanov's algebra AW(3) is considered with explicit structure constants such that, in the basic representation, the first generator becomes the second order q-difference operator for the Askey-Wilson polynomials. It is proved that this representation is
Tom H. Koornwinder
doaj
Braided affine geometry and q-analogs of wave operators
, 2009 The main goal of this review is to compare different approaches to constructing geometry associated with a Hecke type braiding (in particular, with that related to the quantum group U_q(sl(n))).
Gurevich, Dimitri, Saponov, Pavel
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Explicit height estimates for CM curves of genus 2
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey +2 more
wiley +1 more source
, 2010 We present an application of the program of groupoidification leading up to a sketch of a categorification of the Hecke algebroid --- the category of permutation representations of a finite group. As an immediate consequence, we obtain a categorification
Hoffnung, Alexander E.
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Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
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Smith theory and Hecke operators
Journal of Algebra, 2003 Let \(p\) be a prime. In this paper it is shown that the representation of the absolute Galois group of \(\mathbb{Q}\) induced from an \(\overline{\mathbb{F}}^\times_p\)-valued ray class character of the cyclotomic field \(\mathbb{Q}(\zeta_p)\) is attached to a Hecke eigenclass in the \(\text{mod\,}p\) cohomology of a torsion-free congruence subgroup ...
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Hecke operators on weighted Dedekind symbols [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2006 Dedekind symbols generalize the classical Dedekind sums (symbols). The symbols are determined uniquely by their reciprocity laws up to an additive constant. There is a natural isomorphism between the space of Dedekind symbols with polynomial (Laurent polynomial) reciprocity laws and the space of cusp (modular) forms.
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Autism Research, Volume 18, Issue 11, Page 2292-2306, November 2025.ABSTRACT Respiratory sinus arrhythmia (RSA) is a key index of parasympathetic function and environmental adaptability. Lower resting RSA has been linked to preterm (PT) birth in infancy and autism spectrum disorder (ASD) in childhood, yet RSA across the first 2 years in young infants born PT or later diagnosed with ASD remains unknown.
Jessica Bradshaw +3 more
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