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数论及其相关领域 英文PDF|Epub|txt|kindle电子书版本网盘下载
- 欧阳毅等主编 著
- 出版社： 北京：高等教育出版社
- ISBN：7040367750
- 出版时间：2013
- 标注页数：240页
- 文件大小：8MB
- 文件页数：249页
- 主题词：数论－研究－英文
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图书目录
Binary Additive Counter Stream Ciphers&Cunsheng Ding,Wenpei Si1
1 Introduction1
2 Possible attacks and design criteria3
3 Example 1:the Legendre cipher9
4 Example 2:the two-prime cipher14
5 Conclusions and concluding remarks19
References21
Partial Difference Sets from Quadratic Forms and p-ary Weakly Regular Bent Functions&Tao Feng,Bin Wen,Qing Xiang,Jianxing Yin25
1 Introduction25
2 Partial difference sets from quadratic forms and uniform cyclotomy30
3 Partial difference sets from weakly regular p-ary bent functions34
References39
Governing Fields of the 4-rank of K20(？)as p Varies Xuejun Guo,Hourong Qin41
1 Introduction41
2 The governing field of the 4-rank of K2？F43
3 The governing field of the 8-rank of K2？F47
References49
Word-oriented Linear Feedback Shift Registers:σ-LFSRs Wenbao&Han,Xianghui Liu,Guang Zeng,Gangmin Tan51
1 Introduction51
2 Model of σ-LFSR53
3 Cryptographic properties55
4 σ-LFSRs suitable for software implementation62
5 Application of σ-LFSRs65
6 Conclusion69
Statistics of Zeros of Families of L-functions over Function Fields:A Survey&Wen-Ching Winnie Li,Maosheng Xiong73
1 Introduction73
2 Hyperelliptic curves75
3 Cyclic l-fold covers of the projective line78
4 Elliptic curves over a rational function field and generalizations80
5 Concluding remarks82
References82
Lectures on p-adic Zeta Functions and(ψ,Γ)-modules&Yi Ouyang85
1 Introduction85
2 Continuous functions,measures and distributions over Zp86
3 The p-adic zeta function of Kubota-Leopoldt111
4 (ψ,Γ)-modules and Galois cohomology118
5 (ψ,Γ)-modules and 1wasawa theory135
References146
Conjectures and Results on x2 mod p2 with 4p=x2+dy2&Zhi-Wei Sun149
1 Introduction149
2 Using Apéry polynomials and products of three binomial coefficients160
3 Using the polynomials Sn(x)=∑？167
4 Using the function Fn(x)=？176
5 Using the function Gn(x)=？181
6 Using an(x)=？183
7 Miscellaneous things188
References195
Harmonic Weak Maass Forms,Automorphic Green Functions,and Period Integrals&Tonghai Yang199
1 Introduction199
2 Shimura varieties of orthogonal type and their Kudla cycles203
3 Harmonic weak Maass forms,regularized theta lifting,and automorphic Green functions205
4 Eisenstein series associated to coherent and incoherentquadratic spaces210
5 Period integrals of the automorphic Green functionφ(z,h;f)213
6 Big CM values of automorphic Green functions218
References222
Some Recent Progress in Higher Koszulity&Yu Ye,Pu Zhang225
1 Preliminaries226
2 Higher Koszulity227
3 Higher Koszul complexes228
4 Hilbert and Poincaré series230
5 Dual algebras and Ext-algebras232
6 Generalized d-Koszul modules233
7 Lattice distributivity and Koszulity234
8 More related topics236
References238