Ayyer, Arvind; Kumari, Nishu Factorization of classical characters twisted by roots of unity. (English) Zbl 07576557 J. Algebra 609, 437-483 (2022). MSC: 20G05 20G20 05A15 05E05 05E10 PDF BibTeX XML Cite \textit{A. Ayyer} and \textit{N. Kumari}, J. Algebra 609, 437--483 (2022; Zbl 07576557) Full Text: DOI OpenURL
Li, Wen-Ching Winnie; Long, Ling; Tu, Fang-Ting A whipple \(_7F_6\) formula revisited. (English) Zbl 1490.11050 Matematica 1, No. 2, 480-530 (2022). MSC: 11F11 33C20 11F80 11F67 11T24 PDF BibTeX XML Cite \textit{W.-C. W. Li} et al., Matematica 1, No. 2, 480--530 (2022; Zbl 1490.11050) Full Text: DOI OpenURL
Gao, R.; Liao, J.; Liu, H.; Xiong, H.; Xu, X. A note on systems of equations of power sums. (English) Zbl 07550599 Math. Notes 111, No. 6, 855-869 (2022). MSC: 05E05 05A19 11L99 PDF BibTeX XML Cite \textit{R. Gao} et al., Math. Notes 111, No. 6, 855--869 (2022; Zbl 07550599) Full Text: DOI OpenURL
Crew, Logan; Kirillov, Alexandre A.; Yeo, Yao-Rui Branching rules for splint root systems. (English) Zbl 07550128 Algebr. Represent. Theory 25, No. 4, 963-981 (2022). MSC: 17B10 05E10 17B22 22E60 PDF BibTeX XML Cite \textit{L. Crew} et al., Algebr. Represent. Theory 25, No. 4, 963--981 (2022; Zbl 07550128) Full Text: DOI arXiv OpenURL
Zheng, Zhiyong; Chen, Man; Xu, Jie On Gauss sums over Dedekind domains. (English) Zbl 07537781 Int. J. Number Theory 18, No. 5, 1047-1063 (2022). MSC: 11L05 11R04 11T55 PDF BibTeX XML Cite \textit{Z. Zheng} et al., Int. J. Number Theory 18, No. 5, 1047--1063 (2022; Zbl 07537781) Full Text: DOI OpenURL
Bình, Nguyên Luong Thái Jacobi-Trudi type formula for a class of irreducible representations of \(\mathfrak{gl}(m\mid n)\). (English) Zbl 07474438 J. Algebra Appl. 21, No. 1, Article ID 2250015, 30 p. (2022). Reviewer: Sigiswald Barbier (Gent) MSC: 17B10 17B20 PDF BibTeX XML Cite \textit{N. L. T. Bình}, J. Algebra Appl. 21, No. 1, Article ID 2250015, 30 p. (2022; Zbl 07474438) Full Text: DOI arXiv OpenURL
Reif, Shifra; Venkatesh, R. On tensor products of irreducible integrable representations. (English) Zbl 07441519 J. Algebra 592, 402-423 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 17B67 17B10 PDF BibTeX XML Cite \textit{S. Reif} and \textit{R. Venkatesh}, J. Algebra 592, 402--423 (2022; Zbl 07441519) Full Text: DOI arXiv Link OpenURL
Zhang, Wenpeng; Zhang, Jiafan The hybrid power mean of some special character sums of polynomials and two-term exponential sums modulo \(p\). (English) Zbl 07536374 AIMS Math. 6, No. 10, 10989-11004 (2021). MSC: 11L03 11L40 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{J. Zhang}, AIMS Math. 6, No. 10, 10989--11004 (2021; Zbl 07536374) Full Text: DOI OpenURL
Song, Yanbo On two sums related to the Lehmer problem over short intervals. (English) Zbl 1486.11099 AIMS Math. 6, No. 11, 11723-11732 (2021). MSC: 11L03 11L05 PDF BibTeX XML Cite \textit{Y. Song}, AIMS Math. 6, No. 11, 11723--11732 (2021; Zbl 1486.11099) Full Text: DOI OpenURL
Öztürk, Arzu Özkoç; Kaplan, Faruk New identities for the Horadam quaternions. (English) Zbl 07532342 Palest. J. Math. 10, No. 2, 723-731 (2021). MSC: 11B39 11R52 11L99 PDF BibTeX XML Cite \textit{A. Ö. Öztürk} and \textit{F. Kaplan}, Palest. J. Math. 10, No. 2, 723--731 (2021; Zbl 07532342) Full Text: Link OpenURL
Song, Yanbo The recurrence formula for the number of solutions of a equation in finite field. (English) Zbl 1484.11223 AIMS Math. 6, No. 2, 1954-1964 (2021). MSC: 11T24 11D72 11D79 PDF BibTeX XML Cite \textit{Y. Song}, AIMS Math. 6, No. 2, 1954--1964 (2021; Zbl 1484.11223) Full Text: DOI OpenURL
Zhang, Jiafan; Lv, Xingxing On the generalized quadratic Gauss sums and its upper bound estimate. (English) Zbl 1483.11171 J. Math. Inequal. 15, No. 4, 1331-1340 (2021). MSC: 11L05 11L40 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{X. Lv}, J. Math. Inequal. 15, No. 4, 1331--1340 (2021; Zbl 1483.11171) Full Text: DOI OpenURL
Ma, Rong; Niu, Yana; Wang, Haodong; Zhang, Yulong On the mean value of generalized Dirichlet \(L\)-functions with weight of the character sums. (English) Zbl 1475.11147 Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 40, 9 p. (2021). MSC: 11M20 11M06 PDF BibTeX XML Cite \textit{R. Ma} et al., Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 40, 9 p. (2021; Zbl 1475.11147) Full Text: DOI OpenURL
Bag, Nilanjan; Barman, Rupam An improved estimate of the fourth power mean of the general \(3\)-dimensional Kloosterman sum mod \(p\). (English) Zbl 07417837 Funct. Approximatio, Comment. Math. 64, No. 1, 39-45 (2021). Reviewer: Huaning Liu (Xi’an) MSC: 11L05 PDF BibTeX XML Cite \textit{N. Bag} and \textit{R. Barman}, Funct. Approximatio, Comment. Math. 64, No. 1, 39--45 (2021; Zbl 07417837) Full Text: DOI OpenURL
Tsushima, Takahiro On character formulae for Weil representations for unitary groups over finite fields. (English) Zbl 07416220 Commun. Algebra 49, No. 11, 4679-4686 (2021). MSC: 20C33 11F27 PDF BibTeX XML Cite \textit{T. Tsushima}, Commun. Algebra 49, No. 11, 4679--4686 (2021; Zbl 07416220) Full Text: DOI OpenURL
Xu, Xiaoling; Zhang, Jiafan A certain classical Gauss sums and some of their recursive properties. (Chinese. English summary) Zbl 1488.11123 Acta Math. Sin., Chin. Ser. 64, No. 3, 479-484 (2021). MSC: 11L05 PDF BibTeX XML Cite \textit{X. Xu} and \textit{J. Zhang}, Acta Math. Sin., Chin. Ser. 64, No. 3, 479--484 (2021; Zbl 1488.11123) OpenURL
Walton, Mark A. Demazure formulas for weight polytopes. (English) Zbl 1479.52023 Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 287-294 (2021). Reviewer: Angelo Bianchi (São José dos Campos) MSC: 52B20 17B20 11T24 11F11 PDF BibTeX XML Cite \textit{M. A. Walton}, in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 287--294 (2021; Zbl 1479.52023) Full Text: DOI arXiv OpenURL
Hu, S.; Kim, M.-S. Asymptotics of generalized partial theta functions with a Dirichlet character. (English) Zbl 1488.41081 Anal. Math. 47, No. 2, 311-328 (2021). Reviewer: Włodzimierz Łenski (Poznań) MSC: 41A60 11F27 11B68 PDF BibTeX XML Cite \textit{S. Hu} and \textit{M. S. Kim}, Anal. Math. 47, No. 2, 311--328 (2021; Zbl 1488.41081) Full Text: DOI arXiv OpenURL
Li, Chuanzhong Finite-dimensional tau functions of the universal character hierarchy. (English. Russian original) Zbl 07364271 Theor. Math. Phys. 206, No. 3, 321-334 (2021); translation from Teor. Mat. Fiz. 206, No. 3, 321-334 (2021). MSC: 37K10 37K20 37K25 PDF BibTeX XML Cite \textit{C. Li}, Theor. Math. Phys. 206, No. 3, 321--334 (2021; Zbl 07364271); translation from Teor. Mat. Fiz. 206, No. 3, 321--334 (2021) Full Text: DOI OpenURL
DeFranco, Mario On a conjecture about an analogue of Tokuyama’s theorem for \(G_2\). (English) Zbl 1491.17004 J. Algebr. Comb. 53, No. 1, 157-175 (2021). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 17B10 11F68 20C15 05E10 PDF BibTeX XML Cite \textit{M. DeFranco}, J. Algebr. Comb. 53, No. 1, 157--175 (2021; Zbl 1491.17004) Full Text: DOI arXiv OpenURL
Nien, Chufeng; Zhang, Lei [Yun, Zhiwei] Converse theorem of Gauss sums. With an appendix by Zhiwei Yun. (English) Zbl 07300438 J. Number Theory 221, 365-388 (2021). MSC: 11T24 PDF BibTeX XML Cite \textit{C. Nien} and \textit{L. Zhang}, J. Number Theory 221, 365--388 (2021; Zbl 07300438) Full Text: DOI OpenURL
Hoyt, Crystal; Im, Mee Seong; Reif, Shifra Denominator identities for the periplectic Lie superalgebra. (English) Zbl 1459.17022 J. Algebra 567, 459-474 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B20 17B10 05E10 05E05 PDF BibTeX XML Cite \textit{C. Hoyt} et al., J. Algebra 567, 459--474 (2021; Zbl 1459.17022) Full Text: DOI arXiv OpenURL
Höngesberg, Hans Refined enumeration of halved monotone triangles and applications to vertically symmetric alternating sign trapezoids. (English) Zbl 1448.05004 J. Comb. Theory, Ser. A 177, Article ID 105336, 37 p. (2021). MSC: 05A15 05B20 15B35 PDF BibTeX XML Cite \textit{H. Höngesberg}, J. Comb. Theory, Ser. A 177, Article ID 105336, 37 p. (2021; Zbl 1448.05004) Full Text: DOI arXiv OpenURL
Zhang, Wenpeng; Zhang, Jiafan Some character sums of the polynomials. (English) Zbl 07522977 JP J. Algebra Number Theory Appl. 48, No. 1, 37-48 (2020). MSC: 11L10 11L40 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{J. Zhang}, JP J. Algebra Number Theory Appl. 48, No. 1, 37--48 (2020; Zbl 07522977) Full Text: DOI OpenURL
Jiayuan, Hu; Zhuoyu, Chen On distribution properties of cubic residues. (English) Zbl 1484.11005 AIMS Math. 5, No. 6, 6051-6060 (2020). MSC: 11A15 11L40 PDF BibTeX XML Cite \textit{H. Jiayuan} and \textit{C. Zhuoyu}, AIMS Math. 5, No. 6, 6051--6060 (2020; Zbl 1484.11005) Full Text: DOI OpenURL
Zhang, Wenpeng; Wang, Tingting The primitive roots and a problem related to the golomb conjecture. (English) Zbl 1484.11224 AIMS Math. 5, No. 4, 3899-3905 (2020). MSC: 11T24 11A07 11D85 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{T. Wang}, AIMS Math. 5, No. 4, 3899--3905 (2020; Zbl 1484.11224) Full Text: DOI OpenURL
Wenpeng, Zhang; Xingxing, Lv The hybrid power mean involving character sums of polynomials and two-term exponential sums. (English) Zbl 07391120 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 4, 395-406 (2020). MSC: 11L03 11L40 PDF BibTeX XML Cite \textit{Z. Wenpeng} and \textit{L. Xingxing}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 4, 395--406 (2020; Zbl 07391120) OpenURL
Tang, Rui; Chen, Long On the fourth power mean of the generalized three-term exponential sum. (English) Zbl 1474.11141 J. Sichuan Univ., Nat. Sci. Ed. 57, No. 6, 1052-1060 (2020). MSC: 11L03 11L05 PDF BibTeX XML Cite \textit{R. Tang} and \textit{L. Chen}, J. Sichuan Univ., Nat. Sci. Ed. 57, No. 6, 1052--1060 (2020; Zbl 1474.11141) OpenURL
Harris, Benjamin; Oshima, Yoshiki Irreducible characters and semisimple coadjoint orbits. (English) Zbl 1478.22011 J. Lie Theory 30, No. 3, 715-765 (2020). Reviewer: Chao-Ping Dong (Changsha) MSC: 22E46 PDF BibTeX XML Cite \textit{B. Harris} and \textit{Y. Oshima}, J. Lie Theory 30, No. 3, 715--765 (2020; Zbl 1478.22011) Full Text: arXiv Link OpenURL
Bag, Nilanjan; Barman, Rupam Fourth power mean of the general 4-dimensional Kloosterman sum mod \(p\). (English) Zbl 1469.11262 Res. Number Theory 6, No. 3, Paper No. 31, 15 p. (2020). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 PDF BibTeX XML Cite \textit{N. Bag} and \textit{R. Barman}, Res. Number Theory 6, No. 3, Paper No. 31, 15 p. (2020; Zbl 1469.11262) Full Text: DOI OpenURL
Qi, Lan; Chen, Zhuoyu The hybrid power mean of character sums of polynomials and two-term exponential sums. (Chinese. English summary) Zbl 1463.11135 Acta Math. Sin., Chin. Ser. 63, No. 4, 397-402 (2020). MSC: 11L03 11L05 11L10 PDF BibTeX XML Cite \textit{L. Qi} and \textit{Z. Chen}, Acta Math. Sin., Chin. Ser. 63, No. 4, 397--402 (2020; Zbl 1463.11135) OpenURL
Tian, Qing On the mean value of \(\frac{L'}{L} (1, \chi)\) with the weight of character sums in a short interval. (English) Zbl 1463.11139 Adv. Math., Beijing 49, No. 2, 172-178 (2020). MSC: 11L40 11M20 PDF BibTeX XML Cite \textit{Q. Tian}, Adv. Math., Beijing 49, No. 2, 172--178 (2020; Zbl 1463.11139) OpenURL
Pakharev, Aleksei Weyl-Kac character formula for affine Lie algebras in Deligne’s categories. (English) Zbl 07242348 J. Algebra 562, 229-256 (2020). MSC: 17Bxx PDF BibTeX XML Cite \textit{A. Pakharev}, J. Algebra 562, 229--256 (2020; Zbl 07242348) Full Text: DOI arXiv OpenURL
Sobaje, Paul On character formulas for simple and tilting modules. (English) Zbl 07202986 Adv. Math. 369, Article ID 107172, 7 p. (2020). MSC: 20G05 PDF BibTeX XML Cite \textit{P. Sobaje}, Adv. Math. 369, Article ID 107172, 7 p. (2020; Zbl 07202986) Full Text: DOI arXiv OpenURL
Khanmohammadi, Ehssan On the positivity of Kirillov’s character formula. (English) Zbl 1440.22017 Math. Phys. Anal. Geom. 23, No. 2, Paper No. 13, 20 p. (2020). MSC: 22E30 22E27 46L05 PDF BibTeX XML Cite \textit{E. Khanmohammadi}, Math. Phys. Anal. Geom. 23, No. 2, Paper No. 13, 20 p. (2020; Zbl 1440.22017) Full Text: DOI arXiv OpenURL
Kang, Seok-Jin; Kim, Young Rock Quantum Borcherds-Bozec algebras and their integrable representations. (English) Zbl 1475.17023 J. Pure Appl. Algebra 224, No. 10, Article ID 106388, 24 p. (2020). Reviewer: Takeo Kojima (Yonezawa) MSC: 17B37 17B67 16G20 PDF BibTeX XML Cite \textit{S.-J. Kang} and \textit{Y. R. Kim}, J. Pure Appl. Algebra 224, No. 10, Article ID 106388, 24 p. (2020; Zbl 1475.17023) Full Text: DOI arXiv OpenURL
László, Tamás; Nagy, János; Némethi, András Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds. (English) Zbl 1436.32090 Rev. Mat. Complut. 33, No. 1, 197-230 (2020). MSC: 32S05 32S25 32S50 57K31 PDF BibTeX XML Cite \textit{T. László} et al., Rev. Mat. Complut. 33, No. 1, 197--230 (2020; Zbl 1436.32090) Full Text: DOI arXiv OpenURL
Lübeck, Frank Computation of Kazhdan-Lusztig polynomials and some applications to finite groups. (English) Zbl 1444.20027 Trans. Am. Math. Soc. 373, No. 4, 2331-2347 (2020). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20F55 20C08 20E28 20G05 20G10 20J06 PDF BibTeX XML Cite \textit{F. Lübeck}, Trans. Am. Math. Soc. 373, No. 4, 2331--2347 (2020; Zbl 1444.20027) Full Text: DOI arXiv OpenURL
Matsumoto, Sho; Śniady, Piotr Linear versus spin: representation theory of the symmetric groups. (English) Zbl 07169930 Algebr. Comb. 3, No. 1, 249-280 (2020). MSC: 20C25 20C30 05E05 PDF BibTeX XML Cite \textit{S. Matsumoto} and \textit{P. Śniady}, Algebr. Comb. 3, No. 1, 249--280 (2020; Zbl 07169930) Full Text: DOI arXiv OpenURL
Yao, Yu-Feng Character formulas for a class of simple restricted modules over the simple Lie superalgebras of Witt type. (English) Zbl 1472.17067 Chin. Ann. Math., Ser. B 41, No. 1, 49-60 (2020). MSC: 17B50 17B10 PDF BibTeX XML Cite \textit{Y.-F. Yao}, Chin. Ann. Math., Ser. B 41, No. 1, 49--60 (2020; Zbl 1472.17067) Full Text: DOI OpenURL
Lv, Xing Xing; Zhang, Wen Peng On the character sum of polynomials and the two-term exponential sums. (English) Zbl 1472.11220 Acta Math. Sin., Engl. Ser. 36, No. 2, 196-206 (2020). MSC: 11L03 11L40 PDF BibTeX XML Cite \textit{X. X. Lv} and \textit{W. P. Zhang}, Acta Math. Sin., Engl. Ser. 36, No. 2, 196--206 (2020; Zbl 1472.11220) Full Text: DOI OpenURL
Zhang, Jiafan; Lv, Xingxing On the character sums of polynomials and \(L\)-functions. (Chinese. English summary) Zbl 1449.11084 Acta Math. Sin., Chin. Ser. 62, No. 6, 903-912 (2019). MSC: 11L40 11M38 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{X. Lv}, Acta Math. Sin., Chin. Ser. 62, No. 6, 903--912 (2019; Zbl 1449.11084) OpenURL
Matsumoto, Sho; Śniady, Piotr Stanley character formula for the spin characters of the symmetric groups. (English) Zbl 1440.05224 Sémin. Lothar. Comb. 82B, 82B.1, 12 p. (2019). Reviewer: Matthew Fayers (London) MSC: 05E10 20C30 20C25 PDF BibTeX XML Cite \textit{S. Matsumoto} and \textit{P. Śniady}, Sémin. Lothar. Comb. 82B, 82B.1, 12 p. (2019; Zbl 1440.05224) Full Text: arXiv Link OpenURL
Chern, Shane On the power mean of a sum analogous to the Kloosterman sum. (English) Zbl 1463.11136 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 1, 77-92 (2019). Reviewer: Mihály Szalay (Budapest) MSC: 11L05 PDF BibTeX XML Cite \textit{S. Chern}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 1, 77--92 (2019; Zbl 1463.11136) Full Text: arXiv OpenURL
Bình, Nguyên Luong Thái; Dung, Nguyên Thi Phuong; Hai, Phùng Hô Jacobi-Trudi type formula for character of irreducible representations of \(\mathfrak{gl}(m|1)\). (English) Zbl 1473.17021 Acta Math. Vietnam. 44, No. 3, 603-615 (2019). Reviewer: Shuangjian Guo (Guiyang) MSC: 17B10 17B15 17B20 17B22 PDF BibTeX XML Cite \textit{N. L. T. Bình} et al., Acta Math. Vietnam. 44, No. 3, 603--615 (2019; Zbl 1473.17021) Full Text: DOI arXiv OpenURL
Duan, Ran On the computational problem of one kind special mean square value of \(L\)-functions. (Chinese. English summary) Zbl 1438.11119 J. Northwest Univ., Nat. Sci. Ed. 49, No. 2, 302-308 (2019). MSC: 11M06 11M41 PDF BibTeX XML Cite \textit{R. Duan}, J. Northwest Univ., Nat. Sci. Ed. 49, No. 2, 302--308 (2019; Zbl 1438.11119) Full Text: DOI OpenURL
Wang, Xiao A note on the fourth power mean of the two-term exponential sums. (Chinese. English summary) Zbl 1438.11111 Acta Math. Sin., Chin. Ser. 62, No. 2, 261-268 (2019). MSC: 11L03 11L05 11L10 PDF BibTeX XML Cite \textit{X. Wang}, Acta Math. Sin., Chin. Ser. 62, No. 2, 261--268 (2019; Zbl 1438.11111) OpenURL
Gilmer, Patrick M.; Masbaum, Gregor On the skein module of the product of a surface and a circle. (English) Zbl 1428.57009 Proc. Am. Math. Soc. 147, No. 9, 4091-4106 (2019). Reviewer: Khaled Qazaqzeh (Irbed) MSC: 57K31 57M99 57R56 PDF BibTeX XML Cite \textit{P. M. Gilmer} and \textit{G. Masbaum}, Proc. Am. Math. Soc. 147, No. 9, 4091--4106 (2019; Zbl 1428.57009) Full Text: DOI arXiv OpenURL
Defosseux, Manon Kirillov-Frenkel character formula for loop groups, radial part and Brownian sheet. (English) Zbl 1473.17065 Ann. Probab. 47, No. 2, 1036-1055 (2019). MSC: 17B67 60J65 PDF BibTeX XML Cite \textit{M. Defosseux}, Ann. Probab. 47, No. 2, 1036--1055 (2019; Zbl 1473.17065) Full Text: DOI arXiv Euclid OpenURL
Yang, Sen On extending Soulé’s variant of Bloch-Quillen identification. (English) Zbl 1444.14024 Asian J. Math. 23, No. 1, 49-70 (2019). MSC: 14C25 19D45 PDF BibTeX XML Cite \textit{S. Yang}, Asian J. Math. 23, No. 1, 49--70 (2019; Zbl 1444.14024) Full Text: DOI arXiv OpenURL
Zhang, Wenpeng; Chen, Zhuoyu One kind of character sum modulo a prime \(p\) and its recurrence formula. (English) Zbl 1459.11165 Adv. Difference Equ. 2019, Paper No. 133, 12 p. (2019). MSC: 11L05 11L40 11L07 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{Z. Chen}, Adv. Difference Equ. 2019, Paper No. 133, 12 p. (2019; Zbl 1459.11165) Full Text: DOI OpenURL
Zhang, Wen Peng; Lv, Xing Xing The fourth power mean of the general 3-dimensional Kloostermann sums mod \(p\). (English) Zbl 1454.11144 Acta Math. Sin., Engl. Ser. 35, No. 3, 369-377 (2019). MSC: 11L05 PDF BibTeX XML Cite \textit{W. P. Zhang} and \textit{X. X. Lv}, Acta Math. Sin., Engl. Ser. 35, No. 3, 369--377 (2019; Zbl 1454.11144) Full Text: DOI OpenURL
Jing, Naihuan From Frobenius character formula to vertex operators. (Chinese. English summary) Zbl 07494629 Sci. Sin., Math. 48, No. 11, 1717-1728 (2018). MSC: 20C15 17B69 PDF BibTeX XML Cite \textit{N. Jing}, Sci. Sin., Math. 48, No. 11, 1717--1728 (2018; Zbl 07494629) Full Text: DOI OpenURL
Wang, Tingting; Chen, Guohui A note on the classical Gauss sums. (English) Zbl 1425.11142 Mathematics 6, No. 12, Paper No. 313, 6 p. (2018). MSC: 11L05 11L07 PDF BibTeX XML Cite \textit{T. Wang} and \textit{G. Chen}, Mathematics 6, No. 12, Paper No. 313, 6 p. (2018; Zbl 1425.11142) Full Text: DOI OpenURL
Chen, Li On classical Gauss sums and some of their properties. (English) Zbl 1423.11141 Symmetry 10, No. 11, Paper No. 625, 6 p. (2018). MSC: 11L05 11L07 PDF BibTeX XML Cite \textit{L. Chen}, Symmetry 10, No. 11, Paper No. 625, 6 p. (2018; Zbl 1423.11141) Full Text: DOI OpenURL
Tian, Qing; Ding, Liping A problem analogous to Lehmer’s and the mean value of its error term. (Chinese. English summary) Zbl 1424.11122 Pure Appl. Math. 34, No. 2, 177-182 (2018). MSC: 11L40 PDF BibTeX XML Cite \textit{Q. Tian} and \textit{L. Ding}, Pure Appl. Math. 34, No. 2, 177--182 (2018; Zbl 1424.11122) Full Text: DOI OpenURL
Liu, Yanyan On the Fermat’s numbers and the weighted average of \(L\)-functions. (Chinese. English summary) Zbl 1424.11092 Math. Pract. Theory 48, No. 13, 211-215 (2018). MSC: 11F20 11M06 PDF BibTeX XML Cite \textit{Y. Liu}, Math. Pract. Theory 48, No. 13, 211--215 (2018; Zbl 1424.11092) OpenURL
Shen, Lichien A note on Kronecker’s double sum and non-holomorphic Eisenstein series. (English) Zbl 1424.11118 J. East China Norm. Univ., Nat. Sci. Ed. 2018, No. 3, 1-17 (2018). MSC: 11L05 11M36 PDF BibTeX XML Cite \textit{L. Shen}, J. East China Norm. Univ., Nat. Sci. Ed. 2018, No. 3, 1--17 (2018; Zbl 1424.11118) Full Text: DOI OpenURL
Zhang, Wenpeng; Wang, Xiao On a kind of character sums and their recurrence properties. (English) Zbl 1417.11137 Acta Arith. 185, No. 4, 347-355 (2018). Reviewer: Huaning Liu (Shaanxi) MSC: 11L40 11L10 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{X. Wang}, Acta Arith. 185, No. 4, 347--355 (2018; Zbl 1417.11137) Full Text: DOI OpenURL
Bai, Hui; Hu, Jiayuan On the classical Gauss sum and the recursive properties. (English) Zbl 1448.11157 Adv. Difference Equ. 2018, Paper No. 387, 6 p. (2018). MSC: 11L05 11L03 PDF BibTeX XML Cite \textit{H. Bai} and \textit{J. Hu}, Adv. Difference Equ. 2018, Paper No. 387, 6 p. (2018; Zbl 1448.11157) Full Text: DOI OpenURL
Ebanks, Bruce; Stetkær, Henrik Extensions of the sine addition formula on monoids. (English) Zbl 1401.39025 Result. Math. 73, No. 3, Paper No. 119, 13 p. (2018). MSC: 39B52 39B32 PDF BibTeX XML Cite \textit{B. Ebanks} and \textit{H. Stetkær}, Result. Math. 73, No. 3, Paper No. 119, 13 p. (2018; Zbl 1401.39025) Full Text: DOI Link OpenURL
Zheng, Zhiyong On the polynomial Ramanujan sums over finite fields. (English) Zbl 1444.11241 Ramanujan J. 46, No. 3, 863-898 (2018). MSC: 11T55 11T24 11L05 PDF BibTeX XML Cite \textit{Z. Zheng}, Ramanujan J. 46, No. 3, 863--898 (2018; Zbl 1444.11241) Full Text: DOI arXiv OpenURL
Zhao, Hongbo Simplicities of VOAs associated to Jordan algebras of type \(B\) and character formulas for simple quotients. (English) Zbl 1417.17030 J. Algebra 504, 364-390 (2018). MSC: 17B69 17C20 17C65 PDF BibTeX XML Cite \textit{H. Zhao}, J. Algebra 504, 364--390 (2018; Zbl 1417.17030) Full Text: DOI arXiv OpenURL
Lusztig, George; Williamson, Geordie On the character of certain tilting modules. (English) Zbl 1392.20039 Sci. China, Math. 61, No. 2, 295-298 (2018). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G05 20G15 PDF BibTeX XML Cite \textit{G. Lusztig} and \textit{G. Williamson}, Sci. China, Math. 61, No. 2, 295--298 (2018; Zbl 1392.20039) Full Text: DOI arXiv OpenURL
Hochs, Peter; Wang, Hang A fixed point formula and Harish-Chandra’s character formula. (English) Zbl 1391.58008 Proc. Lond. Math. Soc. (3) 116, No. 1, 1-32 (2018). Reviewer: Peter Haskell (Blacksburg) MSC: 58J20 19K56 46L80 22E46 58J35 PDF BibTeX XML Cite \textit{P. Hochs} and \textit{H. Wang}, Proc. Lond. Math. Soc. (3) 116, No. 1, 1--32 (2018; Zbl 1391.58008) Full Text: DOI arXiv OpenURL
Zhu, Minhui; Yang, Xiaoliu On the computational formula of one kind mean square value of \(L\)-functions. (Chinese. English summary) Zbl 1399.11156 J. Shaanxi Norm. Univ., Nat. Sci. Ed. 45, No. 4, 18-22 (2017). MSC: 11M06 11M41 PDF BibTeX XML Cite \textit{M. Zhu} and \textit{X. Yang}, J. Shaanxi Norm. Univ., Nat. Sci. Ed. 45, No. 4, 18--22 (2017; Zbl 1399.11156) Full Text: DOI OpenURL
Chmutov, Michael; Hoyt, Crystal; Reif, Shifra A Weyl-type character formula for PDC modules of \(\mathfrak{gl}(m|n)\). (English) Zbl 1430.17020 J. Lie Theory 27, No. 4, 1069-1088 (2017). MSC: 17B10 05E10 PDF BibTeX XML Cite \textit{M. Chmutov} et al., J. Lie Theory 27, No. 4, 1069--1088 (2017; Zbl 1430.17020) Full Text: arXiv Link OpenURL
Zhang, Wenpeng; Hu, Jiayuan The hybrid power mean of three-term character sums and two-term exponential sums. (English) Zbl 1399.11143 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 60(108), No. 2, 173-180 (2017). Reviewer: Wen-Fong Ke (Tainan) MSC: 11L03 11L07 11T23 11T24 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{J. Hu}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 60(108), No. 2, 173--180 (2017; Zbl 1399.11143) OpenURL
Liu, Lei Mean value of the character sums over incomplete intervals with the weight of Dirichlet \(L\)-functions. (Chinese. English summary) Zbl 1389.11119 J. Northwest Univ., Nat. Sci. Ed. 47, No. 1, 13-17 (2017). MSC: 11L20 11L26 PDF BibTeX XML Cite \textit{L. Liu}, J. Northwest Univ., Nat. Sci. Ed. 47, No. 1, 13--17 (2017; Zbl 1389.11119) Full Text: DOI OpenURL
Chen, Zhuoyu; Zhang, Wenpeng On the fourth-order linear recurrence formula related to classical Gauss sums. (English) Zbl 1427.11075 Open Math. 15, 1251-1255 (2017). MSC: 11L05 11L07 11T24 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{W. Zhang}, Open Math. 15, 1251--1255 (2017; Zbl 1427.11075) Full Text: DOI OpenURL
He, Bing; Li, Long; Zhang, Ruiming An Appell series over finite fields. (English) Zbl 1373.33023 Finite Fields Appl. 48, 289-305 (2017). MSC: 33C65 11T24 33C20 PDF BibTeX XML Cite \textit{B. He} et al., Finite Fields Appl. 48, 289--305 (2017; Zbl 1373.33023) Full Text: DOI arXiv OpenURL
Wang, Nianliang; Li, Hailong; Liu, Guodong Cosine higher-order Euler number congruences and Dirichlet \(L\)-function values. (English) Zbl 1427.11024 Kyushu J. Math. 71, No. 1, 197-209 (2017). MSC: 11B68 11A07 11A15 11S40 PDF BibTeX XML Cite \textit{N. Wang} et al., Kyushu J. Math. 71, No. 1, 197--209 (2017; Zbl 1427.11024) Full Text: DOI OpenURL
Hazi, Amit Balanced semisimple filtrations for tilting modules. (English) Zbl 1403.20058 Represent. Theory 21, 4-19 (2017). Reviewer: S. Moskaliuk (Kyiv) MSC: 20G42 81R50 17B37 16T20 PDF BibTeX XML Cite \textit{A. Hazi}, Represent. Theory 21, 4--19 (2017; Zbl 1403.20058) Full Text: DOI arXiv OpenURL
Webster, Ben Geometry and categorification. (English) Zbl 1365.14023 Beliakova, Anna (ed.) et al., Categorification in geometry, topology, and physics. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2821-1/pbk; 978-1-4704-3691-9/ebook). Contemporary Mathematics 684, 1-22 (2017). Reviewer: Ioan Pop (Iaşi) MSC: 14F05 19E08 14F20 57R20 18A05 PDF BibTeX XML Cite \textit{B. Webster}, Contemp. Math. 684, 1--22 (2017; Zbl 1365.14023) Full Text: DOI arXiv OpenURL
Farashahi, Arash Ghaani Abstract Plancherel (trace) formulas over homogeneous spaces of compact groups. (English) Zbl 1379.43007 Can. Math. Bull. 60, No. 1, 111-121 (2017). MSC: 43A85 43A32 43A40 22C05 PDF BibTeX XML Cite \textit{A. G. Farashahi}, Can. Math. Bull. 60, No. 1, 111--121 (2017; Zbl 1379.43007) Full Text: DOI OpenURL
Chen, Chih-Whi; Cheng, Shun-Jen Quantum group of type \(A\) and representations of queer Lie superalgebra. (English) Zbl 1406.17013 J. Algebra 473, 1-28 (2017). MSC: 17B10 17B37 17B67 PDF BibTeX XML Cite \textit{C.-W. Chen} and \textit{S.-J. Cheng}, J. Algebra 473, 1--28 (2017; Zbl 1406.17013) Full Text: DOI arXiv OpenURL
Chaudhary, Mahendra Pal; Chaudhary, Sangeeta; Choi, Junesang Note on some character formulas. (English) Zbl 1383.11120 Honam Math. J. 38, No. 4, 809-818 (2016). MSC: 11P83 05A17 11F27 PDF BibTeX XML Cite \textit{M. P. Chaudhary} et al., Honam Math. J. 38, No. 4, 809--818 (2016; Zbl 1383.11120) Full Text: DOI OpenURL
Farashahi, Arash Ghaani Classical Fourier analysis over homogeneous spaces of compact groups. (English) Zbl 1389.43007 Anal. Theory Appl. 32, No. 4, 339-354 (2016). MSC: 43A32 43A40 43A85 PDF BibTeX XML Cite \textit{A. G. Farashahi}, Anal. Theory Appl. 32, No. 4, 339--354 (2016; Zbl 1389.43007) Full Text: DOI OpenURL
Chaudhary, M. P.; Choi, Junesang Certain identities associated with character formulas, continued fraction and combinatorial partition identities. (English) Zbl 1379.05006 East Asian Math. J. 32, No. 5, 609-619 (2016). MSC: 05A17 11P83 11F27 PDF BibTeX XML Cite \textit{M. P. Chaudhary} and \textit{J. Choi}, East Asian Math. J. 32, No. 5, 609--619 (2016; Zbl 1379.05006) Full Text: DOI OpenURL
Śniady, Piotr Stanley character polynomials. (English) Zbl 1368.20007 Hersh, Patricia (ed.) et al., The mathematical legacy of Richard P. Stanley. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2724-5/hbk; 978-1-4704-3477-9/ebook). 323-334 (2016). MSC: 20C30 05E10 05A15 05C10 PDF BibTeX XML Cite \textit{P. Śniady}, in: The mathematical legacy of Richard P. Stanley. Providence, RI: American Mathematical Society (AMS). 323--334 (2016; Zbl 1368.20007) Full Text: arXiv OpenURL
Choiy, Kwangho Generalized pseudo-coefficients of discrete series of \(p\)-adic groups. (English) Zbl 1430.22019 Asian J. Math. 20, No. 5, 969-988 (2016). MSC: 22E50 22E35 PDF BibTeX XML Cite \textit{K. Choiy}, Asian J. Math. 20, No. 5, 969--988 (2016; Zbl 1430.22019) Full Text: DOI arXiv OpenURL
Prodan, Emil; Schulz-Baldes, Hermann Generalized Connes-Chern characters in KK-theory with an application to weak invariants of topological insulators. (English) Zbl 1358.81130 Rev. Math. Phys. 28, No. 10, Article ID 1650024, 76 p. (2016). Reviewer: Guy Jumarie (Montréal) MSC: 81R60 19K35 58J22 PDF BibTeX XML Cite \textit{E. Prodan} and \textit{H. Schulz-Baldes}, Rev. Math. Phys. 28, No. 10, Article ID 1650024, 76 p. (2016; Zbl 1358.81130) Full Text: DOI arXiv OpenURL
Wang, Yong The noncommutative family Atiyah-Patodi-Singer index theorem. (English) Zbl 1353.58010 J. Geom. Phys. 110, 44-59 (2016). MSC: 58J20 19K56 PDF BibTeX XML Cite \textit{Y. Wang}, J. Geom. Phys. 110, 44--59 (2016; Zbl 1353.58010) Full Text: DOI arXiv OpenURL
Voskresenskaya, G. V. Decomposition of spaces of modular forms. (English. Russian original) Zbl 1350.11054 Math. Notes 99, No. 6, 851-860 (2016); translation from Mat. Zametki 99, No. 6, 867-877 (2016). MSC: 11F03 11F11 11F20 PDF BibTeX XML Cite \textit{G. V. Voskresenskaya}, Math. Notes 99, No. 6, 851--860 (2016; Zbl 1350.11054); translation from Mat. Zametki 99, No. 6, 867--877 (2016) Full Text: DOI OpenURL
Du, Xiaoying The hybrid power mean of two-term exponential sums and character sums. (Chinese. English summary) Zbl 1363.11081 Acta Math. Sin., Chin. Ser. 59, No. 3, 309-316 (2016). MSC: 11L05 11M06 PDF BibTeX XML Cite \textit{X. Du}, Acta Math. Sin., Chin. Ser. 59, No. 3, 309--316 (2016; Zbl 1363.11081) OpenURL
Prodan, Emil; Schulz-Baldes, Hermann Non-commutative odd Chern numbers and topological phases of disordered chiral systems. (English) Zbl 1344.82055 J. Funct. Anal. 271, No. 5, 1150-1176 (2016). MSC: 82D30 82B44 PDF BibTeX XML Cite \textit{E. Prodan} and \textit{H. Schulz-Baldes}, J. Funct. Anal. 271, No. 5, 1150--1176 (2016; Zbl 1344.82055) Full Text: DOI arXiv OpenURL
Wang, Tingting A mean value function and its computational formula related to D. H. Lehmer’s problem. (English) Zbl 1405.11103 Bull. Korean Math. Soc. 53, No. 2, 487-494 (2016). MSC: 11L40 11F20 PDF BibTeX XML Cite \textit{T. Wang}, Bull. Korean Math. Soc. 53, No. 2, 487--494 (2016; Zbl 1405.11103) Full Text: DOI Link OpenURL
Zheng, Qibing The cohomology algebra of polyhedral product spaces. (English) Zbl 1347.55017 J. Pure Appl. Algebra 220, No. 11, 3752-3776 (2016). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 55U10 55N10 55U15 55U25 PDF BibTeX XML Cite \textit{Q. Zheng}, J. Pure Appl. Algebra 220, No. 11, 3752--3776 (2016; Zbl 1347.55017) Full Text: DOI arXiv Link OpenURL
Hernandez, David; Leclerc, Bernard A cluster algebra approach to \(q\)-characters of Kirillov-Reshetikhin modules. (English) Zbl 1405.17028 J. Eur. Math. Soc. (JEMS) 18, No. 5, 1113-1159 (2016). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 13F60 PDF BibTeX XML Cite \textit{D. Hernandez} and \textit{B. Leclerc}, J. Eur. Math. Soc. (JEMS) 18, No. 5, 1113--1159 (2016; Zbl 1405.17028) Full Text: DOI arXiv OpenURL
Chmutov, Michael; Karpman, Rachel; Reif, Shifra A superdimension formula for \(\mathfrak{gl}(m|n)\)-modules. (English) Zbl 1405.17015 J. Algebra Appl. 15, No. 5, Article ID 1650080, 9 p. (2016). MSC: 17B10 17B20 PDF BibTeX XML Cite \textit{M. Chmutov} et al., J. Algebra Appl. 15, No. 5, Article ID 1650080, 9 p. (2016; Zbl 1405.17015) Full Text: DOI arXiv OpenURL
Prasad, Dipendra Half the sum of positive roots, the Coxeter element, and a theorem of Kostant. (English) Zbl 1330.22018 Forum Math. 28, No. 1, 193-199 (2016). MSC: 22E45 PDF BibTeX XML Cite \textit{D. Prasad}, Forum Math. 28, No. 1, 193--199 (2016; Zbl 1330.22018) Full Text: DOI arXiv OpenURL
Tian, Qing; Yang, Wei; Ding, Liping On the general trigonometric sums weighted by character sums. (English) Zbl 1410.11110 Appl. Math. Comput. 268, 375-387 (2015). MSC: 11L03 05C90 PDF BibTeX XML Cite \textit{Q. Tian} et al., Appl. Math. Comput. 268, 375--387 (2015; Zbl 1410.11110) Full Text: DOI OpenURL
Maktouf, Khemais Character formula of representations associated with a closed orbit. (La formule du caractère des représentations associées à une orbite fermée.) (French. English summary) Zbl 1405.22024 Bull. Sci. Math. 139, No. 3, 301-336 (2015). MSC: 22E50 22E35 PDF BibTeX XML Cite \textit{K. Maktouf}, Bull. Sci. Math. 139, No. 3, 301--336 (2015; Zbl 1405.22024) Full Text: DOI OpenURL
Gorelik, Maria; Kac, Victor G. Characters of (relatively) integrable modules over affine Lie superalgebras. (English) Zbl 1378.17017 Jpn. J. Math. (3) 10, No. 2, 135-235 (2015). MSC: 17B10 05E10 PDF BibTeX XML Cite \textit{M. Gorelik} and \textit{V. G. Kac}, Jpn. J. Math. (3) 10, No. 2, 135--235 (2015; Zbl 1378.17017) Full Text: DOI arXiv Link OpenURL
Zhang, Han; Zhang, Wenpeng Some new sums related to D. H. Lehmer problem. (English) Zbl 1363.11083 Czech. Math. J. 65, No. 4, 915-922 (2015). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11L40 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{W. Zhang}, Czech. Math. J. 65, No. 4, 915--922 (2015; Zbl 1363.11083) Full Text: DOI Link OpenURL
Hatakenaka, Eri; Satoh, Takao On the rings of Fricke characters of free abelian groups. (English) Zbl 1360.20004 J. Commut. Algebra 7, No. 4, 545-565 (2015). MSC: 20C15 20G05 13C05 PDF BibTeX XML Cite \textit{E. Hatakenaka} and \textit{T. Satoh}, J. Commut. Algebra 7, No. 4, 545--565 (2015; Zbl 1360.20004) Full Text: DOI arXiv Euclid OpenURL
Brubaker, Ben; Schultz, Andrew The six-vertex model and deformations of the Weyl character formula. (English) Zbl 1339.82002 J. Algebr. Comb. 42, No. 4, 917-958 (2015). MSC: 82B20 05E10 05A19 05C10 05C90 20G45 20G05 PDF BibTeX XML Cite \textit{B. Brubaker} and \textit{A. Schultz}, J. Algebr. Comb. 42, No. 4, 917--958 (2015; Zbl 1339.82002) Full Text: DOI arXiv OpenURL
Petényi, Franciska Comparing estimates on the number of zeros of irreducible characters in symmetric groups. (English) Zbl 1331.20006 Sémin. Lothar. Comb. 72(2014-2015), B72c, 14 p. (2015). MSC: 20C15 20C30 20E45 05E10 20D60 PDF BibTeX XML Cite \textit{F. Petényi}, Sémin. Lothar. Comb. 72, B72c, 14 p. (2015; Zbl 1331.20006) Full Text: EMIS OpenURL
Li, Wanmei On the fourth power mean of the mixed exponential sums. (Chinese. English summary) Zbl 1340.11071 Basic Sci. J. Text. Univ. 28, No. 1, 37-41 (2015). MSC: 11L03 11L07 PDF BibTeX XML Cite \textit{W. Li}, Basic Sci. J. Text. Univ. 28, No. 1, 37--41 (2015; Zbl 1340.11071) Full Text: DOI OpenURL
Harada, Megumi; Yang, Jihyeon Jessie Grossberg-Karshon twisted cubes and basepoint-free divisors. (English) Zbl 1327.14226 J. Korean Math. Soc. 52, No. 4, 853-868 (2015). MSC: 14M25 20G05 14C20 PDF BibTeX XML Cite \textit{M. Harada} and \textit{J. J. Yang}, J. Korean Math. Soc. 52, No. 4, 853--868 (2015; Zbl 1327.14226) Full Text: DOI arXiv Link OpenURL