On Eisenstein series in M2(Γ0(N)) and their applications
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DOI: 10.1016/j.jnt.2018.06.010
Abstract: Abstract Let k , N ∈ N with N square-free and k > 1 . We prove an orthogonal relation and use this to compute the Fourier coefficients of the Eisenstein part of any f… read more here.
Keywords: series applications; eisenstein series;
Evaluations of some terminating hypergeometric 2 F 1 (2) series with applications
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DOI: 10.3906/mat-1804-67
Abstract: Explicit expressions for the hypergeometric series 2F1(−n, a; 2a±j; 2) and 2F1(−n, a;−2n±j; 2) for positive integer n and arbitrary integer j are obtained with the help of generalizations of Kummer’s second and third summation… read more here.
Keywords: terminating hypergeometric; series applications; evaluations terminating; series ... See more keywords