المؤلفون: Ismail Allakov, binti Deraman Fatanah, binti Sapar Siti Hasana, binti Ismail Shahrina, Исмаил Аллаков, бинти Дераман Фатана, бинти Сапар Сити Хасана, бинти Исмаил Шахрина

المصدر: Chebyshevskii Sbornik; Том 24, № 5 (2023); 5-15 ; Чебышевский сборник; Том 24, № 5 (2023); 5-15 ; 2226-8383 ; 10.22405/2226-8383-2023-24-5

مصطلحات موضوعية: иррациональные числа, estimation, finite groups, sum of characters, additive characters, multiplicative character, Beatty sequences, number theory, pigeonhole principle, rational number, irrational numbers, оценка, конечные группы, сумма характеров, аддитивный характеры, мультипликативный характеры, последовательность битти, теория чисел, принцип «ячейки», рациональное число

وصف الملف: application/pdf

Relation: https://www.chebsbornik.ru/jour/article/view/1617/1135; Chua L., Park S., Smith G.D., “Bounded Gaps Between Primes in Special Sequences” // Proceedings of The American Mathematical Society, Springer Berlin Heidelberg, 2015, vol. 143, pp. 4597-4611. (http://doi.org/10.1090/proc/12607); Guloglu A. M., Nevans C. W., “Sums of multiplicative functions over a Beatty sequence” // Bull. Austral. Math. Soc., 78, pp. 327–334, 2008. (https://doi.org/10.1017/S0004972708000853); Simpson R. J., “Disjoint covering systems rational Beatty sequences” // Discrete Mathematics, 92, pp. 361-369, 1991.; Banks W. D., Shparlinski I. E., “Non-residues and primitive roots in Beatty sequences” // Bull. Austral. Math. Soc. 73, pp. 433–443, 2006. (https://doi.org/10.1017/S0004972700035449); Banks W. D., Shparlinski I. E., “Short character sums with beatty sequences” // Math. Res. Lett., 13, pp. 1–100N, 2006. (https://doi.org/10.4310/MRL.2006.v13.n4.a4); Cassaigne J., Duch˜Aane E., Rigo M., “Nonhomogeneous beatty sequences leading to invariant games” // SIAM Journal on Discrete Mathematics 30, pp. 1798–1829, 2016. (https://doi.org/10.1137/130948367); Kimberling C., “Beatty sequences and trigonometric functions” // INTEGERS 16, 2016.; (https://www.emis.de/journals/INTEGERS/papers/ q15/q15.pdf); Deraman F. , Sapar S. H., Johari M. A. M., Atan K. A. M., Rasedee A. F. N., “Extended Bounds of Beatty Sequence Associated with Primes” // International Journal of Engineering and Advanced Technology, pp. 115-118, 2019.; Polya G., “Uher die Verteilung der quadratischen Reste und Nichtreste” // Nachrichten Knigl. Ges. Wiss. Gttingen, pp. 21-29, 1918.; Vinogradov I. M., “Uber die Verteilung der quadratischen Reste und Nichtrete” // J. Soc. Phys. Math. Univ., 2, pp. 1-14, 1919.; Friedlander J., Iwaniec H., “Estimates for character sums” // Proceedings of The American Mathematical Society, vol. 119, no. 2 (Oct., 1993), pp. 365-372.; Cassaigne J., Duchlne E., Rigo M., “Nonhomogeneous Beatty sequencesleading to invariant games” // SIAM Journal on Descrete Mathematics, vol. 30:3, pp. 1798-1829, 2016. (https://doi.org/10.1137/130948367); Fraenkel A. S., “How to beat your Wythoff games opponents on three fronts” // Amer. Math. Monthly, 89, pp. 353-361, 1982.; Cassaigne J., Duchene E., Rigo M., “Invariant games and non-homogeneous Beatty sequences” // Arxiv, vol. abs/1312.2233, 2013. (https://arxiv.org/abs/1312.2233); Lidl R., Niederreiter H., “Uniform distribution of sequences” // New York, John Wiley Sons, 1974.; Hlawka E., Taschner R., Schoißengeier J., “Geometric and Analytic Number Theory” // Springer-Verlag, 1991.; Lidl R. and Niederreiter H., "Introduction To Finite Fields and Their Applications” // Cambridge University Press, 1983.; https://www.chebsbornik.ru/jour/article/view/1617

الاتاحة: https://www.chebsbornik.ru/jour/article/view/1617
https://doi.org/10.22405/2226-8383-2023-24-5-5-15