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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Evaluation of the convolution sums ∑al+bm=n lσ(l) σ(m) with ab ≤ 9
Open Mathematics, 2017 The generating functions of divisor functions are quasimodular forms of weight 2 and their products belong to a space of quasimodular forms of higher weight.
Park Yoon Kyung
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, 2023 Bacillus anthracis is a gram-positive bacterial pathogen that causes the deadly infectious disease anthrax. B. anthracis contains over 5,000 chromosomal genes, and we believe there are unidentified chromosomal genes important for virulence.
Hamilton, Luke
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Mathematics Subject Classification: Primary 11F11 [PDF]
, 1999 0. Introduction. For a positive integer N , let X 0 (N ) (over C) be the modular curve corresponding to the modular group Γ 0 (N ). It is known that there are only finitely many values of N for which X 0 (N ) is sub-hyperelliptic, i.e., it admits a two ...
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Binomial convolution sum of divisor functions associated with Dirichlet character modulo 8
Open MathematicsIn this article, we compute binomial convolution sums of divisor functions associated with the Dirichlet character modulo 8, which is the remaining primitive Dirichlet character modulo powers of 2 yet to be considered.
Jin Seokho, Park Ho
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Cycle integrals and rational period functions for Γ0+(2) and Γ0+(3)
Open MathematicsFor p∈{2,3}p\in \left\{2,3\right\} and an even integer kk, let Wk−2−(p){W}_{k-2}^{-}\left(p) be the space of period polynomials of weight k−2k-2 on Γ0+(p){\Gamma }_{0}^{+}\left(p) with eigenvalue −1-1 under the Fricke involution.
Choi SoYoung +2 more
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On the common zeros of quasi-modular forms for Γ+0(N) of level N = 1, 2, 3
Open MathematicsIn this article, we study common zeros of the iterated derivatives of the Eisenstein series for Γ0+(N){\Gamma }_{0}^{+}\left(N) of level N=1,2,and2,N=1,2, and 3, which are quasi-modular forms.
Im Bo-Hae, Kim Hojin, Lee Wonwoong
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Recurrence relations satisfied by some arithmetic groups
Open MathematicsRecently, recurrence relations satisfied by the modular traces of the Hauptmodul for Γ0(N){\Gamma }_{0}\left(N) of genus zero have been established. However, these relations do not determine all values of the modular traces.
Kang Hee Doo +2 more
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Conformation-specific Antibodies Targeting Aggregated Forms of α-synuclein Block the Propagation of Synucleinopathy. [PDF]
Exp Neurobiol, 2022 Choi M +10 more
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Development of [211At]astatine-based anti-CD123 radioimmunotherapy for acute leukemias and other CD123+ malignancies. [PDF]
Leukemia, 2022 Laszlo GS +12 more
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