Representation of prime powers in arithmetical progressions by binary quadratic forms
Journal de théorie des nombres de Bordeaux, Tome 15 (2003) no. 1, pp. 141-149

Let Γ be a set of binary quadratic forms of the same discriminant, Δ a set of arithmetical progressions and m a positive integer. We investigate the representability of prime powers p m lying in some progression from Δ by some form from Γ.

Soit Γ une famille de formes quadratiques à deux variables de même discriminant, Δ un ensemble de progressions arithmétiques et m un entier strictement positif. Nous nous intéressons au problème de la représentation des puissances de nombres premiers p m appartenant à une progression de Δ par une forme quadratique de Γ.

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     title = {Representation of prime powers in arithmetical progressions by binary quadratic forms},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {141--149},
     year = {2003},
     publisher = {Universit\'e Bordeaux I},
     volume = {15},
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     zbl = {1048.11030},
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Franz Halter-Koch. Representation of prime powers in arithmetical progressions by binary quadratic forms. Journal de théorie des nombres de Bordeaux, Tome 15 (2003) no. 1, pp. 141-149. https://jtnb.centre-mersenne.org/item/JTNB_2003__15_1_141_0/

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