Cohomological relation between Jacobi forms and skew-holomorphic Jacobi forms [PDF]
, 2013 Eichler and Zagier developed a theory of Jacobi forms to understand and extend Maass' work on the Saito-Kurokawa conjecture. Later Skoruppa introduced skew-holomorphic Jacobi forms, which play an important role in understanding liftings of modular forms ...
Choi, Dohoon, Lim, Subong
core
Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52
Open Mathematics, 2017 The convolution sum, ∑(l,m)∈N02αl+βm=nσ(l)σ(m), $ \begin{array}{} \sum\limits_{{(l\, ,m)\in \mathbb{N}_{0}^{2}}\atop{\alpha \,l+\beta\, m=n}} \sigma(l)\sigma(m), \end{array} $ where αβ = 22, 44, 52, is evaluated for all natural numbers n. Modular forms
Ntienjem Ebénézer
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Mathieu moonshine and Siegel Modular Forms
Journal of High Energy Physics, 2021 A second-quantized version of Mathieu moonshine leads to product formulae for functions that are potentially genus-two Siegel Modular Forms analogous to the Igusa Cusp Form. The modularity of these functions do not follow in an obvious manner.
Suresh Govindarajan, Sutapa Samanta
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On Level p Siegel Cusp Forms of Degree Two
International Journal of Mathematics and Mathematical Sciences, 2012 We give a simple formula for the Fourier coefficients of some degree-two Siegel cusp form with level p.
Hirotaka Kodama +2 more
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Universality of zeta-functions of cusp forms and non-trivial zeros of the Riemann zeta-function
Mathematical Modelling and Analysis, 2021 It is known that zeta-functions ζ(s,F) of normalized Hecke-eigen cusp forms F are universal in the Voronin sense, i.e., their shifts ζ(s + iτ,F), τ ∈ R, approximate a wide class of analytic functions.
Aidas Balčiūnas +4 more
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On certain constructions of p-adic families of Siegel modular forms of even genus [PDF]
, 2010 Suppose that p > 5 is a rational prime. Starting from a well-known p-adic analytic family of ordinary elliptic cusp forms of level p due to Hida, we construct a certain p-adic analytic family of holomorphic Siegel cusp forms of arbitrary even genus and ...
Kawamura, Hisa-Aki
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An arithmetic Hilbert-Samuel theorem for singular hermitian line bundles and cusp forms
, 2012 We prove an arithmetic Hilbert-Samuel type theorem for semi-positive singular hermitian line bundles of finite height. In particular, the theorem applies to the log-singular metrics of Burgos-Kramer-K\"uhn. Our theorem is thus suitable for application to
Arakelov +8 more
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Pulsed flows at the high-altitude cusp poleward boundary, and associated ionospheric convection and particle signatures, during a Cluster - FAST - SuperDARN- Søndrestrøm conjunction under a southwest IMF [PDF]
Annales Geophysicae, 2004 Particle and magnetic field observations during a magnetic conjunction Cluster 1-FAST-Søndrestrøm within the field of view of SuperDARN radars on 21 January 2001 allow us to draw a detailed, comprehensive and self-consistent picture at ...
C. J. Farrugia +15 more
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A note on Fourier coefficients of Poincar\'e series
, 2010 We give a short and "soft" proof of the asymptotic orthogonality of Fourier coefficients of Poincar\'e series for classical modular forms as well as for Siegel cusp forms, in a qualitative form.Comment: 10 ...
Abhishek Saha +3 more
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The protoconid: a key cusp in lower molars. Evidence from a recent modern human population
Annals of Human Biology, 2022 Background The molar (M) size sequence in the genus Homo is decreasing and the general pattern in Homo sapiens is M1> M2 > M3. Aim To gain a better understanding of the reduction patterns of M components (cusps), we aim to assess the area of the ...
José María Bermúdez de Castro +3 more
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