Results 41 to 50 of about 7,400 (160)
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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Journal für die reine und angewandte Mathematik (Crelles Journal), 1988 Let \(\Gamma_ q\) be the so-called Hecke subgroup of \(SL_ 2({\mathbb{R}})\) generated by \(\begin{pmatrix} 0&-1 \\ 1&0 \end{pmatrix}\) and \(\begin{pmatrix} 1&2 \cos(\pi/q) \\ 0&1 \end{pmatrix}\) where \(q\geq 3\) is an integer. The author reports on his calculations of the point spectrum of the Laplace-Beltrami operator \(\Delta\) acting on suitable \
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Distribution of mass of holomorphic cusp forms [PDF]
Duke Mathematical Journal, 2013 23 ...
Blomer, Valentin +2 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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CUSP FORMS WITH RATIONAL EVEN PERIODS
Kyushu Journal of Mathematics, 2023 Let \(\mathbb{D}\) denote the set of all discriminants \[ \mathbb{D}=\{D\in \mathbb{Z}:D\equiv 0,1(\text{mod}4)\} \] and let \(Q_{D}\) denote the set of all integral binary quadratic forms \[ Q_{D}(x,y)=ax^{2}+bxy+cy^{2} \] shortly, \(Q_{D}=[a,b,c]\), of discriminant \(D=b^{2}-4ac\).
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Relating Siegel cusp forms to Siegel–Maaß forms
Research in Number Theory, 2022 AbstractIn this paper we generalize a well-known isomorphism between the space of cusp forms of weight k for a Fuchsian subgroup of the first kind $$\Gamma \subset \mathrm {SL}_{2}({\mathbb {R}})$$ Γ ⊂ SL 2
Jürg Kramer, Antareep Mandal
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On the coefficients of cusp forms [PDF]
Mathematical Research Letters, 1997 Fix a cuspidal representation \(\pi\) of \(GL(2)\) over (the adele ring of) a number field \(F\), and write \(a_v\) for the sum of the Hecke eigenvalues of \(\pi\) at a place \(v\) of \(F\) where \(\pi\) is unramified. Ramanujan's conjecture for \(\pi\) is equivalent to \(|a_v|\leq 2\) for all \(v\).
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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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Poincaré series for modular graph forms at depth two. Part I. Seeds and Laplace systems
Journal of High Energy Physics, 2022 We derive new Poincaré-series representations for infinite families of non-holomorphic modular invariant functions that include modular graph forms as they appear in the low-energy expansion of closed-string scattering amplitudes at genus one.
Daniele Dorigoni +2 more
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On the arithmetic nature of coefficients of multiplicative eta-functions
Вестник Самарского университета: Естественнонаучная серияIn the article we study the arithmetic nature of the coefficients of multiplicative eta-products, also called McKay functions. For some functions it is possible to establish Hecke correspondence between the coefficients of McKay and Hecke grossen ...
G. V. Voskresenskaya
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