Geodesic
On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Form with Congruential Condition
Matematičeskie zametki, Tome 111 (2022) no. 5, pp. 726-737

Voir la notice de l'article provenant de la source Math-Net.Ru

Asymptotic formulas with remainder for the number of representations of a pair of integers by quadratic and linear forms with a congruential condition are proved.
Keywords: Diophantine system with quadratic and linear forms, congruential condition, asymptotic formula.
Mots-clés : joint invariant 
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     author = {U. M. Pachev and L. A. Khalilova},
     title = {On an {Asymptotics} of the {Number} of {Representations} of a {Pair} of {Integers} by {Quadratic} and {Linear} {Form} with {Congruential} {Condition}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {726--737},
     publisher = {mathdoc},
     volume = {111},
     number = {5},
     year = {2022},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_5_a5/}
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U. M. Pachev; L. A. Khalilova. On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Form with Congruential Condition. Matematičeskie zametki, Tome 111 (2022) no. 5, pp. 726-737. http://geodesic.mathdoc.fr/item/MZM_2022_111_5_a5/