Results 151 to 160 of about 13,300 (186)
Appel à contributions : Annales de l’Université de Craiova journal, Psychology-Teaching series
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Appel : Reinterpreting Victorian Serial Murderers in Literature, Film, TV Series and Graphic Novels
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Free-listing and Semantic Knowledge: A Tool for Detecting Alzheimer Disease? [PDF]
Ulep MG, Liénard P.
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Appel : Monographs and edited collections for the new horror series "Terror: Estudios Criticos"
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Appel à contribution: New Book Series, Non-Mainstream Religion in the Middle East, Brill
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Appell series over finite fields and modular forms
The author finds finite field analogues of classical identities involving classical \(F_4\)-Appell series and \({}_3F_2\)-classical hypergeometric series. In particular, he expresses the special values of \(F_4^{*}\), a finite field analogue of the classical Appell series \(F_4\), in terms of the Fourier coefficients of weight-three modular forms.
Mohit Tripathi
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Appell series over finite fields and Gaussian hypergeometric series
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Mohit Tripathi, Rupam Barman
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Appell series 𝔽1 over finite fields
In 1987, Greene introduced the notion of the finite field analogue of hypergeometric series. In this paper, we give a finite field analogue of Appell series and obtain some transformation and reduction formulas. We also establish the generating functions for Appell series over finite fields.
Long Li, Xin Li, Rui Mao
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Supercongruences for truncated Appell series
After defining the truncated Appell series \(F_1\) and \(F_2\) and recalling the \(p\)-adic Gamma function \(\Gamma_p(x)\), this paper establishes that, for any prime \(p \geq 5 \), \[ F_1 \left[ \tfrac12; \tfrac12, \tfrac12; 1; 1, 1 \right] _ \frac{ p-1}{2} \equiv p \pmod {p^2},\] \[ F_2 \left[ \tfrac12; \tfrac12, \tfrac12; 1, 1; 1, 1 \right] _ \frac{
Ji-Cai Liu
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