Ouyang, Yi (ed.); Xing, Chaoping (ed.); Xu, Fei (ed.); Zhang, Pu (ed.) Number theory and related areas. (English) Zbl 1270.11002 Advanced Lectures in Mathematics (ALM) 27. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-273-2/pbk). 240 p. (2013). Show indexed articles as search result. The papers comprising this volume explore various fields of number theory, including: the congruent property of solutions of quadratic Diophantine equations, \(K\)-groups over the ring of integers of number fields, \(L\)-functions of global function fields, automorphic forms, \(p\)-adic representations, and more. Applications of number theory, as in design and coding theory, are also explored. The research found in this volume can be seen as a reflection of the influence of Professor Keqin Feng upon the development of number theory studies in China, and this volume is therefore dedicated to him.This collection is a valuable reference for experts in these fields, as well as an excellent introduction for graduate students.The articles of this volume will be reviewed individually.Indexed articles:Ding, Cunsheng; Si, Wenpei, Binary additive counter stream ciphers, 1-23 [Zbl 1317.94102]Feng, Tao; Wen, Bin; Xiang, Qing; Yin, Jianxing, Partial difference sets from quadratic forms and \(p\)-ary weakly regular bent functions, 25-40 [Zbl 1317.05192]Guo, Xuejun; Qin, Hourong, Governing fields of the 4-rank of \(K_2\mathcal O_{\mathbb Q(\sqrt{dp})}\) as \(p\) varies, 41-50 [Zbl 1317.11119]Han, Wenbao; Liu, Xianghui; Zeng, Guang; Tan, Gangmin, Word-oriented linear feedback shift registers: \(\sigma\)-LFSRs, 51-71 [Zbl 1317.94075]Li, Wen-Ching Winnie; Xiong, Maosheng, Statistics of zeros of families of \(L\)-functions over function fields: a survey, 73-84 [Zbl 1317.11066]Ouyang, Yi, Lectures on \(p\)-adic zeta functions and \((\phi,\Gamma)\)-modules, 85-147 [Zbl 1320.11113]Sun, Zhi-Wei, Conjectures and results on \(x^2\pmod p^2\) with \(4p=x^2+dy^2\), 149-197 [Zbl 1317.11034]Yang, Tonghai, Harmonic weak Maass forms, automorphic Green functions and period integrals, 199-223 [Zbl 1317.11062]Ye, Yu; Zhang, Pu, Some recent progress in higher Koszulity., 225-240 [Zbl 1317.16026] Cited in 3 Documents MSC: 11-06 Proceedings, conferences, collections, etc. pertaining to number theory 00B15 Collections of articles of miscellaneous specific interest 05-06 Proceedings, conferences, collections, etc. pertaining to combinatorics 14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry 16-06 Proceedings, conferences, collections, etc. pertaining to associative rings and algebras 94-06 Proceedings, conferences, collections, etc. pertaining to information and communication theory PDFBibTeX XMLCite \textit{Y. Ouyang} (ed.) et al., Number theory and related areas. Somerville, MA: International Press; Beijing: Higher Education Press (2013; Zbl 1270.11002)