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Proceedings of the National Academy of Sciences, 1985 It is shown that, under certain standard assumptions, such as extended Riemann hypotheses, the scattering matrix ϕ( s ) for generic Γ ≤ SL(2, R) is unexpectedly of order 2. This leads to the conjecture that the generic cofinite Γ has very few Maass cusp forms.
Deshouillers, J.-M. +3 more
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Superlacunary cusp forms [PDF]
Proceedings of the American Mathematical Society, 1995 A power series is called superlacunary if it has the form \[ f(x)= \sum_{n=-\infty}^\infty d(an^2+ bn+ c) x^{an^2+ bn +c} \] where \(a\), \(b\), \(c\) are integers with \(a>0\). The authors show there are no superlacunary integer weight cusp forms that are eigenforms of the Hecke operators \(T_p\).
Ono, Ken, Robins, Sinai
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On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms [PDF]
Annales scientifiques de l'École normale supérieure, 2020 39 ...
Tamotsu, I., Yamana, S.
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The four-loop cusp anomalous dimension from the N=4 Sudakov form factor
Physics Letters B, 2020 We present an analytic derivation of the full four-loop cusp anomalous dimension of N=4 supersymmetric Yang-Mills theory from the Sudakov form factor. To extract the cusp anomalous dimension, we calculate the ϵ−2 pole of the form factor using parametric ...
Tobias Huber +4 more
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Nonlinear Analysis, 2020 In the paper, joint discrete universality theorems on the simultaneous approximation of a collection of analytic functions by a collection of discrete shifts of zeta-functions attached to normalized Hecke-eigen cusp forms are obtained.
Antanas Laurinčikas +2 more
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Variation in Cuspal Morphology in Maxillary First Permanent Molar with Report of 3 Cusp Molar- A Prevalence Study [PDF]
Journal of Clinical and Diagnostic Research, 2016 Introduction: Human teeth has always been known for morphological variations in both the crown and root structures. The corono-morphological variations can be in the form of extra cusp or missing cusp. Permanent maxillary first molars are the biggest
Sandhya Jain
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Journal of High Energy Physics, 2023 We continue the study of random matrix universality in two-dimensional conformal field theories. This is facilitated by expanding the spectral form factor in a basis of modular invariant eigenfunctions of the Laplacian on the fundamental domain.
Felix M. Haehl +2 more
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工程科学学报, 2023 Sudden transition is a widely existing phenomenon in engineering practice. When the state of the system experiences sudden abrupt transition, calculus-based traditional mathematical modeling methods has low accuracy.
Ming ZHANG +6 more
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Journal of Dr. NTR University of Health Sciences, 2023 The development of tooth is a complex process where series of interactions occurs between the ectoderm and ectomesenchyme. Alterations in development lead to a variety of anomalies in regard to number, size, form, shape, structure, etc.
Santana Natarajan +3 more
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Mathematics of Computation, 2014 We classify Siegel modular cusp forms of weight two for the paramodular group K(p) for primes p< 600. We find that weight two Hecke eigenforms beyond the Gritsenko lifts correspond to certain abelian varieties defined over the rationals of conductor p. The arithmetic classification is in a companion article by A. Brumer and K. Kramer.
Cris Poor, David S. Yuen
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