Results 1 to 10 of about 236 (50)
$G$-fixed Hilbert schemes on $K3$ surfaces, modular forms, and eta products [PDF]
Épijournal de Géométrie Algébrique, 2022 Let $X$ be a complex $K3$ surface with an effective action of a group $G$ which preserves the holomorphic symplectic form. Let $$ Z_{X,G}(q) = \sum_{n=0}^{\infty} e\left(\operatorname{Hilb}^{n}(X)^{G} \right)\, q^{n-1} $$ be the generating function for ...
Jim Bryan, Ádám Gyenge
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Complex numbers similar to the generalized Bernoulli numbers and their applications
, 2021 2010 Mathematics Subject Classification: 11M06, 11F20.
Brahim Mittou, Abdallah Derbal
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Some symmetry identities for the Apostol-type polynomials related to multiple alternating sums
Advances in Differential Equations, 2013 In recent years, symmetry properties of the Bernoulli polynomials and the Euler polynomials have been studied by a large group of mathematicians (He and Wang in Discrete Dyn. Nat. Soc. 2012:927953, 2012, Kim et al. in J. Differ. Equ. Appl.
V. Kurt
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Journal of Inequalities and Applications, 2013 In this paper, we use the analytic method and the properties of Gauss sums to study the computational problem of one kind fourth power mean of the generalized two-term exponential sums, and give an exact computational formula for it.MSC:11L40, 11F20.
Xiaoxue Li, Zhefeng Xu
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Some circular summation formulas for theta functions
Boundary Value Problems, 2013 In this paper, we obtain some circular summation formulas of theta functions using the theory of elliptic functions and show some interesting identities of theta functions and applications.MSC:11F27, 33E05, 11F20.
Yichang Cai, Si Chen, Qiu-Ming Luo
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On the fourth power mean of the general k th Kloosterman sums
Advances in Differential Equations, 2014 Let q>2 be an integer, and let χ be a Dirichlet character modulo q. For integers m, n and k, the general k th Kloosterman sum S(m,n,k,χ;q) is defined by S(m,n,k,χ;q)=∑′a=1qχ(a)e(mak+na¯kq), where ∑′ denotes the summation over all a with (a,q)=1, e(y ...
Xiaoyan Guo, Guohua Geng, Xiao-Jun Pan
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A hybrid mean value involving a new sum and Kloosterman sums
Journal of Inequalities and Applications, 2014 In this paper, we introduce a new sum, analogous to Cochrane sums, and use elementary and analytic methods to study the hybrid mean value problem involving this sum and Kloosterman sums, and we give an interesting asymptotic formula for it.MSC:11L40 ...
Xiaohan-H. Wang, Xiaoxue Li
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Eichler Cohomology of Generalized Modular Forms of Real Weights [PDF]
, 2012 In this paper, we prove the Eichler cohomology theorem of weakly parabolic generalized modular forms of real weights on subgroups of finite index in the full modular group. We explicitly establish the isomorphism for large weights by constructing the map
Raji, Wissam
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Some identities related to Dedekind sums and the second-order linear recurrence polynomials
Advances in Differential Equations, 2013 In this paper, we use the elementary method and the reciprocity theorem of Dedekind sums to study the computational problem of one kind Dedekind sums, and give two interesting computational formulae related to Dedekind sums and the second-order linear ...
Jianghua Li, Han Zhang
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Upper bound estimate of incomplete Cochrane sum
Open Mathematics, 2017 By using the properties of Kloosterman sum and Dirichlet character, an optimal upper bound estimate of incomplete Cochrane sum is given.
Ma Yuankui, Peng Wen, Zhang Tianping
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