Results 1 to 10 of about 1,077,663 (191)
Baxter operator and Archimedean Hecke algebra [PDF]
Communications in Mathematical Physics, 2007 In this paper we introduce Baxter integral Q-operators for finite-dimensional Lie algebras gl(n+1) and so(2n+1). Whittaker functions corresponding to these algebras are eigenfunctions of the Q-operators with the eigenvalues expressed in terms of Gamma ...
Gerasimov, A., Lebedev, D., Oblezin, S.
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Hecke relations among 2d fermionic RCFTs [PDF]
Journal of High Energy Physics, 2023 Recently, Harvey and Wu proposed a suitable Hecke operator for vector-valued SL(2, ℤ) modular forms to connect the characters of different 2d rational conformal field theories (RCFTs).
Kimyeong Lee, Kaiwen Sun
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Bounds for traces of Hecke operators and applications to modular and elliptic curves over a finite field [PDF]
Algebra & Number Theory, 2018 We give an upper bound for the trace of a Hecke operator acting on the space of holomorphic cusp forms with respect to certain congruence subgroups. Such an estimate has applications to the analytic theory of elliptic curves over a finite field, going ...
Petrow, Ian
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Hecke Operators on Vector-Valued Modular Forms [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2019 We study Hecke operators on vector-valued modular forms for the Weil representation $\rho_L$ of a lattice $L$. We first construct Hecke operators $\mathcal{T}_r$ that map vector-valued modular forms of type $\rho_L$ into vector-valued modular forms of ...
Bouchard, Vincent +2 more
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Newton polygons of Hecke operators [PDF]
Annales mathématiques du Québec, 2020 In this computational paper we verify a truncated version of the Buzzard-Calegari conjecture on the Newton polygon of the Hecke operator $T_2$ for all large enough weights. We first develop a formula for computing $p$-adic valuations of exponential sums, which we then implement to compute $2$-adic valuations of traces of Hecke operators acting on ...
Chiriac, Liubomir, Jorza, Andrei
openaire +5 more sources
A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area [PDF]
, 2014 We provide an explicit construction of a cross section for the geodesic flow on infinite-area Hecke triangle surfaces which allows us to conduct a transfer operator approach to the Selberg zeta function.
Pohl, Anke D.
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Kneser-Hecke-operators in coding theory [PDF]
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2006 The Kneser-Hecke-operator is a linear operator defined on the complex vector space spanned by the equivalence classes of a family of self-dual codes of fixed length.
Nebe, Gabriele
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Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator
Boundary Value Problems, 2023 We reprove a result by Bartsch, Weth, and Willem (Calc. Var. Partial Differ. Equ. 18(3):253–268, 2003) concerning the nondegeneracy of bubble solutions for a critical semilinear elliptic equation involving the polyharmonic operator.
Dandan Yang +3 more
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Journal of High Energy Physics, 2023 We study universal properties of the torus partition function of T T ¯ $$ T\overline{T} $$ -deformed CFTs under the assumption of modular invariance, for both the original version, referred to as the double-trace version in this paper, and the single ...
Luis Apolo, Wei Song, Boyang Yu
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Hecke Operator and S-Duality of N=4 Super Yang-Mills for ADE Gauge Group on K3 [PDF]
, 2003 We determine the partition functions of ${\cal N}=4$ super Yang-Mills gauge theory for some $ADE$ gauge groups on $K3$, under the assumption that they are holomorphic.
Toru Sasaki
semanticscholar +1 more source