Results 11 to 20 of about 64,711 (180)
Level lowering for half-integral weight modular forms [PDF]
Proceedings of the American Mathematical Society, 2009 In this paper we provide a level lowering result for half-integral weight modular forms. The main ingredients are the Shimura map from half-integral weight modular forms to integral weight modular forms along with a level lowering result for integral weight modular forms due to Ribet. It is necessary to keep track of the parity of the weight as well as
Jim Brown, Yingkun Li
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Ternary quadratic forms and half-integral weight modular forms [PDF]
LMS Journal of Computation and Mathematics, 2012 AbstractLet k be a positive integer such that k≡3 mod 4, and let N be a positive square-free integer. In this paper, we compute a basis for the two-dimensional subspace Sk/2(Γ0(4N),F) of half-integral weight modular forms associated, via the Shimura correspondence, to a newform F∈Sk−1(Γ0(N)), which satisfies $L(F,\frac {1}{2})\neq 0$.
Alia Hamieh
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Eigenforms of half-integral weight [PDF]
, 2012 Let k be an odd integer and N a positive integer such that 4 | N.\ud Let X be a Dirichlet character modulo N. Shimura decomposes the space of\ud half-integral weight forms Sk/2(N,X) as\ud Sk/2(N,X) = S0(N,X)oOΦSk/2(N,X,Φ)\ud where Φ runs through the newforms of weight k-1 and level dividing N/2 and\ud character X2; Sk/2(N,X,Φ) is the subspace of forms ...
Soma Purkait
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Voronoï Summation for Half-Integral Weight Automorphic Forms [PDF]
International Mathematics Research Notices, 2021 Abstract A general Voronoï summation formula for the (metaplectic) double cover of $\operatorname{GL}_2$ is derived via the representation theoretic framework à la Ichino–Templier. The identity is also formulated classically and used to establish Voronoï summation formulae for half-integral weight modular forms and Maaß forms.
Assing, E, Corbett, A
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Borcherds products of half-integral weight [PDF]
Journal of Number Theory, 2022 5 ...
Haowu Wang, Brandon Williams
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Bounds for twisted symmetric square L-functions via half-integral weight periods
Forum of Mathematics, Sigma, 2020 We establish the first moment bound $$\begin{align*}\sum_{\varphi} L(\varphi \otimes \varphi \otimes \Psi, \tfrac{1}{2}) \ll_\varepsilon p^{5/4+\varepsilon} \end{align*}$$ for triple product L-functions, where $\Psi $ is a fixed Hecke ...
Paul D. Nelson
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On modular signs of half integral weights
Indagationes Mathematicae, 2020 In this paper, we consider the first negative eigenvalue of eigenforms of half-integral weight k + 1/2 and obtain an almost type bound.
Chen, Bin, Wu, Jie, Zhang, Yichao
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Determining multiplicities of half-integral weight newforms [PDF]
Pacific Journal of Mathematics, 1995 Proceeding from a theorem of Ueda which establishes an isomorphism (as modules for appropriate Hecke algebras) between certain spaces of cusp forms of integral and half-integral weight, the authors decompose the (full) space of newforms of half-integral weight into a direct sum of spaces of newforms of integral weight which occur with multiplicity one ...
Shemanske, Thomas R., Walling, Lynne H.
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A handbook of holographic 4-point functions
Journal of High Energy Physics, 2022 We present a comprehensive discussion of tree-level holographic 4-point functions of scalar operators in momentum space. We show that each individual Witten diagram satisfies the conformal Ward identities on its own and is thus a valid conformal ...
Adam Bzowski +2 more
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AdS Virasoro-Shapiro amplitude with KK modes
Journal of High Energy Physics, 2023 We determine the first curvature correction for the string amplitude of two supergravity states and two Kaluza-Klein modes on AdS5×S5, which is dual to the correlator O 2 O 2 O p O p $$ \left\langle {\mathcal{O}}_2{\mathcal{O}}_2{\mathcal{O}}_p{\mathcal ...
Giulia Fardelli +2 more
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