Results 1 to 10 of about 111,974 (295)
Lifting congruences to half-integral weight [PDF]
Research in Number Theory, 2022 Let \(\kappa \geq 6\) be an even integer and suppose that \(f\) and \(g\) be normalized newforms of weight \(\kappa\) for a subgroup of modular forms of odd and square-free level. Then in the paper under review, with the help of Saito-Kurokawa lifts and under weak conditions, the authors show that there exists an interesting congruence of Fourier ...
Neil Dummigan, Dummigan Neil
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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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On the Fourier expansions of Jacobi forms of half-integral weight [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Using the relationship between Jacobi forms of half-integral weight and vector valued modular forms, we obtain the number of components which determine the given Jacobi form of index p, p2 or pq, where p and q are odd primes.
B. Ramakrishnan, Brundaban Sahu
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Fast computation of half-integral weight modular forms [PDF]
Rocky Mountain Journal of Mathematics, 2022 To study statistical properties of modular forms, including for instance Sato-Tate like problems, it is essential to have a large number of Fourier coefficients. In this article, we exhibit three bases for the space of modular forms of any half-integral weight and level 4, which have the property that many coefficients can be computed (relatively ...
Inam, Ilker, Wiese, Gabor
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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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Functions and Sensors of Smart Walkers From 2015 to 2024: Scoping Review [PDF]
JMIR Rehabilitation and Assistive TechnologiesBackgroundEarly mobilization and mobility are essential components of the recovery process following surgery and trauma-related hospitalization. In addition to personalized support from physiotherapists and health care professionals, assistive devices ...
Nicole Strutz +2 more
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Modular forms of half-integral weight on Γ0(4) with few nonvanishing coefficients modulo ℓ
Open Mathematics, 2022 Let kk be a nonnegative integer. Let KK be a number field and OK{{\mathcal{O}}}_{K} be the ring of integers of KK. Let ℓ≥5\ell \ge 5 be a prime and vv be a prime ideal of OK{{\mathcal{O}}}_{K} over ℓ\ell . Let ff be a modular form of weight k+12k+\frac{1}
Choi Dohoon, Lee Youngmin
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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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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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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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