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A new theorem on quadratic residues modulo primes

• Authors : Hou, Qing-Hu; Pan, Hao; Sun, Zhi-Wei

Subjects: Mathematics; QA1-939

• Source: Comptes Rendus. Mathématique, Vol 360, Iss G9, Pp 1065-1069 (2022)

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Some determinants involving quadratic residues modulo primes

• Authors : Sun, Zhi-Wei

Subjects: Mathematics - Number Theory; 11A15, 11C20, 15A15, 33B10

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Proof of conjectures on series with summands involving $ \binom{2k}{k}8^k/(\binom{3k}{k}\binom{6k}{3k})$

• Authors : Sun, Zhi-Wei; Zhou, Yajun

Subjects: Mathematics - Classical Analysis and ODEs; Mathematics - Number Theory; 33B15, 33B30, 33F10, 11M32, 11B65

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Evaluations of $ \sum_{k=1}^\infty \frac{x^k}{k^2\binom{3k}{k}}$ and related series

• Authors : Sun, Zhi-Wei; Zhou, Yajun

Subjects: Mathematics - Combinatorics; Mathematics - Number Theory; 05A10, 11M32, 11B65, 33B15

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Taylor coefficients and series involving harmonic numbers

• Authors : Hou, Qing-Hu; Sun, Zhi-Wei

Subjects: Mathematics - Combinatorics; Primary 05A19, 11B65, Secondary 33B15

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New series involving binomial coefficients

• Authors : Sun, Zhi-Wei

Subjects: Mathematics - Number Theory; Mathematics - Combinatorics; 05A19, 11B65, 11A07, 11B68, 33B15

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On an inverse problem for restricted sumsets

• Authors : Luo, Xin-Qi; Sun, Zhi-Wei

Subjects: Mathematics - Number Theory; Mathematics - Combinatorics; 11P70, 11B13

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A new result similar to the Graham-Pollak theorem

• Authors : Sun, Zhi-Wei

Subjects: Mathematics - Combinatorics; 05C05, 11C20, 05A30, 05C12, 15B36

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On determinants involving second-order recurrent sequences

• Authors : Sun, Zhi-Wei

Subjects: Mathematics - Number Theory; Mathematics - Combinatorics; 11B39, 11C20, 05C05, 15B05

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On congruences involving Ap\'ery numbers

• Authors : Xia, Wei; Sun, Zhi-Wei

Subjects: Mathematics - Number Theory; Mathematics - Combinatorics; 11B65, 11A07, 05A10, 11B39

• Source: Proc. Amer. Math. Soc. 151 (2023), no. 8, 3305-3315

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