Nien, Chufeng; Zhang, Lei Converse theorem of Gauss sums. (English) Zbl 07300438 J. Number Theory 221, 365-388 (2021). MSC: 11T24 11Z05 PDF BibTeX XML Cite \textit{C. Nien} and \textit{L. Zhang}, J. Number Theory 221, 365--388 (2021; Zbl 07300438) Full Text: DOI
Hoyt, Crystal; Im, Mee Seong; Reif, Shifra Denominator identities for the periplectic Lie superalgebra. (English) Zbl 07282605 J. Algebra 567, 459-474 (2021). MSC: 17B20 17B10 05E10 05E05 PDF BibTeX XML Cite \textit{C. Hoyt} et al., J. Algebra 567, 459--474 (2021; Zbl 07282605) Full Text: DOI
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
Bag, Nilanjan; Barman, Rupam Fourth power mean of the general 4-dimensional Kloosterman sum mod \(p\). (English) Zbl 07304538 Res. Number Theory 6, No. 3, Paper No. 31, 15 p. (2020). 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 07304538) Full Text: DOI
Qi, Lan; Chen, Zhuoyu The hybrid power mean of character sums of polynomials and two-term exponential sums. (Chinese. English summary) Zbl 07294939 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 07294939)
Tian, Qing On the mean value of \(\frac{L'}{L} (1, \chi)\) with the weight of character sums in a short interval. (English) Zbl 07266384 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 07266384) Full Text: DOI
Pakharev, Aleksei Weyl-Kac character formula for affine Lie algebras in Deligne’s categories. (English) Zbl 07242348 J. Algebra 562, 229-256 (2020). MSC: 17B PDF BibTeX XML Cite \textit{A. Pakharev}, J. Algebra 562, 229--256 (2020; Zbl 07242348) Full Text: DOI
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
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
Kang, Seok-Jin; Kim, Young Rock Quantum Borcherds-Bozec algebras and their integrable representations. (English) Zbl 07195684 J. Pure Appl. Algebra 224, No. 10, Article ID 106388, 24 p. (2020). 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 07195684) Full Text: DOI
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
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
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
Yao, Yu-Feng Character formulas for a class of simple restricted modules over the simple Lie superalgebras of Witt type. (English) Zbl 07154857 Chin. Ann. Math., Ser. B 41, No. 1, 49-60 (2020). MSC: 17B10 17B50 PDF BibTeX XML Cite \textit{Y.-F. Yao}, Chin. Ann. Math., Ser. B 41, No. 1, 49--60 (2020; Zbl 07154857) Full Text: DOI
Lv, Xing Xing; Zhang, Wen Peng On the character sum of polynomials and the two-term exponential sums. (English) Zbl 07154674 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 07154674) Full Text: DOI
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)
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: Link
Chern, Shane On the power mean of a sum analogous to the Kloosterman sum. (English) Zbl 07157350 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 07157350)
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 07115061 Acta Math. Vietnam. 44, No. 3, 603-615 (2019). 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 07115061) Full Text: DOI
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
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)
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
Defosseux, Manon Kirillov-Frenkel character formula for loop groups, radial part and Brownian sheet. (English) Zbl 07053563 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 07053563) Full Text: DOI Euclid arXiv
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
Zhang, Wenpeng; Chen, Zhuoyu One kind of character sum modulo a prime \(q\) and its recurrence formula. (English) Zbl 07048544 Adv. Difference Equ. 2019, Paper No. 133, 12 p. (2019). MSC: 11L10 11L40 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{Z. Chen}, Adv. Difference Equ. 2019, Paper No. 133, 12 p. (2019; Zbl 07048544) Full Text: DOI
Zhang, Wen Peng; Lv, Xing Xing The fourth power mean of the general 3-dimensional Kloostermann sums mod \(p\). (English) Zbl 07043609 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 07043609) Full Text: DOI
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
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
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
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)
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., No. 3, 1-17 (2018). MSC: 11L05 11M36 PDF BibTeX XML Cite \textit{L. Shen}, J. East China Norm. Univ., Nat. Sci. Ed. , No. 3, 1--17 (2018; Zbl 1424.11118) Full Text: DOI
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
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
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
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
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
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
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
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
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: Link
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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 Euclid arXiv
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
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
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
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 Link arXiv
Han, Di; Zhang, Wenpeng On the existence of some special primitive roots mod \(p\). (English) Zbl 1340.11076 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 58(106), No. 1, 59-66 (2015). MSC: 11M20 11L05 11L40 PDF BibTeX XML Cite \textit{D. Han} and \textit{W. Zhang}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 58(106), No. 1, 59--66 (2015; Zbl 1340.11076)
Ma, Rong; Zhang, Wenpeng On the hybrid mean value involving Dedekind sums and Kloosterman sums. (English) Zbl 1363.11087 Math. Slovaca 65, No. 3, 463-472 (2015). MSC: 11M20 11L03 PDF BibTeX XML Cite \textit{R. Ma} and \textit{W. Zhang}, Math. Slovaca 65, No. 3, 463--472 (2015; Zbl 1363.11087) Full Text: DOI
Ishii, Motohiro Demazure character formulas for generalized Kac-Moody algebras. (English) Zbl 1373.17025 Commun. Algebra 43, No. 7, 2785-2801 (2015). MSC: 17B67 17B10 17B37 PDF BibTeX XML Cite \textit{M. Ishii}, Commun. Algebra 43, No. 7, 2785--2801 (2015; Zbl 1373.17025) Full Text: DOI arXiv
Han, Di; Wang, Tingting On the Dedekind sums and two-term exponential sums. (English) Zbl 1370.11100 Chin. Ann. Math., Ser. B 36, No. 4, 603-612 (2015). MSC: 11L40 11F20 PDF BibTeX XML Cite \textit{D. Han} and \textit{T. Wang}, Chin. Ann. Math., Ser. B 36, No. 4, 603--612 (2015; Zbl 1370.11100) Full Text: DOI
Bao, Kai Hua; Wang, Jian; Wang, Yong The equivariant family index theorem in odd dimensions. (English) Zbl 1335.58016 Acta Math. Sin., Engl. Ser. 31, No. 7, 1149-1162 (2015). Reviewer: Peter Hochs (Adelaide) MSC: 58J20 57R20 53C80 53C27 58J35 58J40 PDF BibTeX XML Cite \textit{K. H. Bao} et al., Acta Math. Sin., Engl. Ser. 31, No. 7, 1149--1162 (2015; Zbl 1335.58016) Full Text: DOI
Friedlander, Holley; Gaudet, Louis; Gunnells, Paul E. Crystal graphs, Tokuyama’s theorem, and the Gindikin-Karpelevič formula for \(G_{2}\). (English) Zbl 1316.05128 J. Algebr. Comb. 41, No. 4, 1089-1102 (2015). MSC: 05E15 17B10 11F68 20C15 05E10 PDF BibTeX XML Cite \textit{H. Friedlander} et al., J. Algebr. Comb. 41, No. 4, 1089--1102 (2015; Zbl 1316.05128) Full Text: DOI arXiv
Drappeau, Sary Friable exponential sums and applications. (Sommes friables d’exponentielles et applications.) (French. English summary) Zbl 1388.11068 Can. J. Math. 67, No. 3, 597-638 (2015). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 11L07 PDF BibTeX XML Cite \textit{S. Drappeau}, Can. J. Math. 67, No. 3, 597--638 (2015; Zbl 1388.11068) Full Text: DOI arXiv
Blomer, Valentin; Milićević, Djordje The second moment of twisted modular \(L\)-functions. (English) Zbl 1400.11097 Geom. Funct. Anal. 25, No. 2, 453-516 (2015). MSC: 11F66 11L07 11F72 PDF BibTeX XML Cite \textit{V. Blomer} and \textit{D. Milićević}, Geom. Funct. Anal. 25, No. 2, 453--516 (2015; Zbl 1400.11097) Full Text: DOI arXiv
Farashahi, Arash Ghaani A unified group theoretical method for the partial Fourier analysis on semi-direct product of locally compact groups. (English) Zbl 1315.43004 Result. Math. 67, No. 1-2, 235-251 (2015). Reviewer: Öznur Kulak (Görele) MSC: 43A25 22D45 PDF BibTeX XML Cite \textit{A. G. Farashahi}, Result. Math. 67, No. 1--2, 235--251 (2015; Zbl 1315.43004) Full Text: DOI arXiv
Parshall, Brian J.; Scott, Leonard L. On \(p\)-filtrations of Weyl modules. (English) Zbl 1325.20039 J. Lond. Math. Soc., II. Ser. 91, No. 1, 127-158 (2015). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20G05 17B10 17B37 PDF BibTeX XML Cite \textit{B. J. Parshall} and \textit{L. L. Scott}, J. Lond. Math. Soc., II. Ser. 91, No. 1, 127--158 (2015; Zbl 1325.20039) Full Text: DOI arXiv
Wang, Xiaohan; Li, Xiaoxue A hybrid mean value involving a new sum and Kloosterman sums. (English) Zbl 1371.11128 J. Inequal. Appl. 2014, Paper No. 44, 7 p. (2014). MSC: 11L40 PDF BibTeX XML Cite \textit{X. Wang} and \textit{X. Li}, J. Inequal. Appl. 2014, Paper No. 44, 7 p. (2014; Zbl 1371.11128) Full Text: DOI
Li, Jianghua; Qin, Xinqiang; Zhang, Fang The hybrid mean value of \(L\)-functions and a special character sums. (English) Zbl 1367.11073 Quaest. Math. 37, No. 4, 563-570 (2014). MSC: 11M20 11L40 PDF BibTeX XML Cite \textit{J. Li} et al., Quaest. Math. 37, No. 4, 563--570 (2014; Zbl 1367.11073) Full Text: DOI
Parshall, Brian J.; Scott, Leonard L. Some Koszul properties of standard and irreducible modules. (English) Zbl 1335.20049 Achar, Pramod N. (ed.) et al., Recent advances in representation theory, quantum groups, algebraic geometry, and related topics. AMS special sessions on “Geometric and algebraic aspects of representation theory and quantum groups” and “Noncommutative algebraic geometry”, Tulane University, New Orleans, LA, USA, October 13–14, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9852-9/pbk; 978-1-4704-1929-5/ebook). Contemporary Mathematics 623, 243-265 (2014). MSC: 20G05 17B10 16W70 16S37 PDF BibTeX XML Cite \textit{B. J. Parshall} and \textit{L. L. Scott}, Contemp. Math. 623, 243--265 (2014; Zbl 1335.20049) Full Text: arXiv
Yang, Tingjuan The hybrid mean value involving generalized Dedekind sums and Kloosterman sums. (Chinese. English summary) Zbl 1324.11058 J. Zhengzhou Univ., Nat. Sci. Ed. 46, No. 4, 13-17 (2014). MSC: 11L05 11L40 11F20 PDF BibTeX XML Cite \textit{T. Yang}, J. Zhengzhou Univ., Nat. Sci. Ed. 46, No. 4, 13--17 (2014; Zbl 1324.11058) Full Text: DOI
Tóth, László Counting solutions of quadratic congruences in several variables revisited. (English) Zbl 1321.11041 J. Integer Seq. 17, No. 11, Article 14.11.6, 23 p. (2014). Reviewer: Pentti Haukkanen (Tampere) MSC: 11D79 11A25 11N37 11L99 PDF BibTeX XML Cite \textit{L. Tóth}, J. Integer Seq. 17, No. 11, Article 14.11.6, 23 p. (2014; Zbl 1321.11041) Full Text: EMIS arXiv
Han, Di A hybrid mean value involving two-term exponential sums and polynomial character sums. (English) Zbl 1340.11075 Czech. Math. J. 64, No. 1, 53-62 (2014). MSC: 11L40 11N37 PDF BibTeX XML Cite \textit{D. Han}, Czech. Math. J. 64, No. 1, 53--62 (2014; Zbl 1340.11075) Full Text: DOI
Watt, Nigel Weighted fourth moments of Hecke zeta functions with groessencharacters. (English) Zbl 1357.11086 Mosc. J. Comb. Number Theory 4, No. 2, 3-118 (2014). MSC: 11M41 11F30 11F37 11F72 11L05 PDF BibTeX XML Cite \textit{N. Watt}, Mosc. J. Comb. Number Theory 4, No. 2, 3--118 (2014; Zbl 1357.11086) Full Text: arXiv
Zhang, Wei Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups. (English) Zbl 1322.11048 Ann. Math. (2) 180, No. 3, 971-1049 (2014). Reviewer: Sandeep Varma (Mumbai) MSC: 11F67 11F70 PDF BibTeX XML Cite \textit{W. Zhang}, Ann. Math. (2) 180, No. 3, 971--1049 (2014; Zbl 1322.11048) Full Text: DOI
Xu, Zhefeng; Zhang, Wenpeng An interesting identity and asymptotic formula related to the Dedekind sums. (English) Zbl 1368.11096 Sci. China, Math. 57, No. 3, 659-663 (2014). MSC: 11L40 11F20 PDF BibTeX XML Cite \textit{Z. Xu} and \textit{W. Zhang}, Sci. China, Math. 57, No. 3, 659--663 (2014; Zbl 1368.11096) Full Text: DOI
Parthasarathy, Aprameyan; Ramacher, Pablo Integral operators on the Oshima compactification of a Riemannian symmetric space. (English) Zbl 1325.22009 J. Funct. Anal. 267, No. 4, 919-962 (2014). Reviewer: Andreas Cap (Wien) MSC: 22E46 32J05 53C35 58C30 58J40 22E45 PDF BibTeX XML Cite \textit{A. Parthasarathy} and \textit{P. Ramacher}, J. Funct. Anal. 267, No. 4, 919--962 (2014; Zbl 1325.22009) Full Text: DOI
Parker, Alison E.; Stewart, David I. First cohomology groups for finite groups of Lie type in defining characteristic. (English) Zbl 1304.20066 Bull. Lond. Math. Soc. 46, No. 2, 227-238 (2014). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20J06 20C20 20C33 20G10 PDF BibTeX XML Cite \textit{A. E. Parker} and \textit{D. I. Stewart}, Bull. Lond. Math. Soc. 46, No. 2, 227--238 (2014; Zbl 1304.20066) Full Text: DOI arXiv
Zhang, Wei Automorphic period and the central value of Rankin-Selberg \(L\)-function. (English) Zbl 1294.11069 J. Am. Math. Soc. 27, No. 2, 541-612 (2014). Reviewer: Qiao Zhang (Fort Worth) MSC: 11F67 11F70 22E55 11G40 22E50 PDF BibTeX XML Cite \textit{W. Zhang}, J. Am. Math. Soc. 27, No. 2, 541--612 (2014; Zbl 1294.11069) Full Text: DOI arXiv
Kopaneva, A. A.; Burlakova, E. A. Evaluation of character sums over a continuous interval of summation. (Russian. English summary) Zbl 1434.11169 Chebyshevskiĭ Sb. 14, No. 2(46), 118-122 (2013). MSC: 11L40 PDF BibTeX XML Cite \textit{A. A. Kopaneva} and \textit{E. A. Burlakova}, Chebyshevskiĭ Sb. 14, No. 2(46), 118--122 (2013; Zbl 1434.11169) Full Text: DOI MNR
Goryashin, D. V. Perfect squares of the form \([\alpha n]\). (Russian. English summary) Zbl 1434.11196 Chebyshevskiĭ Sb. 14, No. 2(46), 68-73 (2013). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11N25 11L40 11L15 PDF BibTeX XML Cite \textit{D. V. Goryashin}, Chebyshevskiĭ Sb. 14, No. 2(46), 68--73 (2013; Zbl 1434.11196) Full Text: DOI MNR
Wang, Weiqiong; Han, Di An identity involving certain Hardy sums and Ramanujan’s sum. (English) Zbl 1375.11059 Adv. Difference Equ. 2013, Paper No. 261, 8 p. (2013). MSC: 11L05 11L10 PDF BibTeX XML Cite \textit{W. Wang} and \textit{D. Han}, Adv. Difference Equ. 2013, Paper No. 261, 8 p. (2013; Zbl 1375.11059) Full Text: DOI
Kang, Xiaoyu; Wu, Zhengang On the mean value of the two-term Dedekind sums. (English) Zbl 1315.11028 J. Inequal. Appl. 2013, Paper No. 579, 7 p. (2013). Reviewer: Mehmet Cenkci (Antalya) MSC: 11F20 11L40 PDF BibTeX XML Cite \textit{X. Kang} and \textit{Z. Wu}, J. Inequal. Appl. 2013, Paper No. 579, 7 p. (2013; Zbl 1315.11028) Full Text: DOI
Li, Xiaoxue; Xu, Zhefeng The fourth power mean of the generalized two-term exponential sums and its upper and lower bound estimates. (English) Zbl 1296.11104 J. Inequal. Appl. 2013, Paper No. 504, 8 p. (2013). MSC: 11L40 11F20 PDF BibTeX XML Cite \textit{X. Li} and \textit{Z. Xu}, J. Inequal. Appl. 2013, Paper No. 504, 8 p. (2013; Zbl 1296.11104) Full Text: DOI