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1

On the differences between two kinds of mean value formulas of number-theoretic error terms

Cao, Xiaodong, Furuya, Jun, Tanigawa, Yoshio, Zhai, Wenguang

Journal:

International Journal of Number Theory

Year:

2014

Language:

english

File:

PDF, 319 KB

english, 2014

2

On the prime power factorization of n!

Journal:

Journal of Number Theory

Year:

2009

Language:

english

File:

PDF, 207 KB

english, 2009

3

Reciprocal sums of a class of additive functions in short intervals

Journal:

Chinese Science Bulletin

Year:

1997

Language:

english

File:

PDF, 359 KB

english, 1997

4

The Additive Completion of kth Powers

Journal:

Journal of Number Theory

Year:

1999

Language:

english

File:

PDF, 97 KB

english, 1999

5

On the Simultaneous Distribution of the Fractional Parts of Different Powers of Prime Numbers

Journal:

Journal of Number Theory

Year:

2001

Language:

english

File:

PDF, 172 KB

english, 2001

6

Dirichlet series associated with polynomials and applications

Yoshio Tanigawa, Wenguang Zhai

Journal:

Journal of Number Theory

Year:

2007

Language:

english

File:

PDF, 408 KB

english, 2007

7

On the mean value of the index of composition of an integral ideal

Deyu Zhang, Wenguang Zhai

Journal:

Journal of Number Theory

Year:

2011

Language:

english

File:

PDF, 189 KB

english, 2011

8

On a divisor problem related to the Epstein zeta-function, II

Guangshi Lü, Jie Wu, Wenguang Zhai

Journal:

Journal of Number Theory

Year:

2011

Language:

english

File:

PDF, 146 KB

english, 2011

9

On Sums of Two Coprimek-th Powers

Journal:

Monatshefte für Mathematik

Year:

2005

Language:

english

File:

PDF, 190 KB

english, 2005

10

On Sums of Two Coprimek-th Powers(II)

Wenguang Zhai, Xiaodong Cao

Journal:

Monatshefte für Mathematik

Year:

2006

Language:

english

File:

PDF, 163 KB

english, 2006

11

On a Diophantine Inequality Over Primes (II)

Wenguang Zhai, Xiaodong Cao

Journal:

Monatshefte für Mathematik

Year:

2007

Language:

english

File:

PDF, 77 KB

english, 2007

12

On the representation of large integers as sums of

Guangshi Lü, Wenguang Zhai

Journal:

The Ramanujan Journal

Year:

2009

Language:

english

File:

PDF, 312 KB

english, 2009

13

Highly luminescent carbon nanodots by microwave-assisted pyrolysis

Zhai, Xinyun, Zhang, Peng, Liu, Changjun, Bai, Tao, Li, Wenchen, Dai, Liming, Liu, Wenguang

Journal:

Chemical Communications

Year:

2012

Language:

english

File:

PDF, 2.80 MB

english, 2012

14

Nano-carrier for gene delivery and bioimaging based on carbon dots with PEI-passivation enhanced fluorescence

Changjun Liu, Peng Zhang, Xinyun Zhai, Feng Tian, Wenchen Li, Jianhai Yang, Yuan Liu, Hongbo Wang, Wei Wang, Wenguang Liu

Journal:

Year:

2012

Language:

english

File:

PDF, 2.41 MB

english, 2012

15

Structure and electrical properties of PbZrO3 antiferroelectric thin films doped with barium and strontium

Xihong Hao, Jiwei Zhai, Jing Zhou, Zhenxing Yue, Jichun Yang, Wenguang Zhao, Shengli An

Journal:

Journal of Alloys and Compounds

Year:

2011

Language:

english

File:

PDF, 1.11 MB

english, 2011

16

On the mean value of the index of composition of an integral ideal (II)

Zhang, Deyu, Zhai, Wenguang

Journal:

Journal of Number Theory

Year:

2013

Language:

english

File:

PDF, 261 KB

english, 2013

17

On the Dirichlet divisor problem in short intervals

Aleksandar Ivić, Wenguang Zhai

Journal:

The Ramanujan Journal

Year:

2014

Language:

english

File:

PDF, 658 KB

english, 2014

18

Polycation- b -Polyzwitterion Copolymer Grafted Luminescent Carbon Dots As a Multifunctional Platform for Serum-Resistant Gene Delivery and Bioimaging

Cheng, Lu, Li, Yongmao, Zhai, Xinyun, Xu, Bing, Cao, Zhiqiang, Liu, Wenguang

Journal:

ACS Applied Materials & Interfaces

Year:

2014

Language:

english

File:

PDF, 9.50 MB

english, 2014

19

ON THE FOURTH POWER MOMENT OF Δx AND E(x) IN SHORT INTERVALS

TANIGAWA, YOSHIO, ZHAI, WENGUANG

Journal:

International Journal of Number Theory

Year:

2009

Language:

english

File:

PDF, 317 KB

english, 2009

20

ON THE FIFTH-POWER MOMENT OF Δ(x)

ZHANG, DEYU, ZHAI, WENGUANG

Journal:

International Journal of Number Theory

Year:

2011

Language:

english

File:

PDF, 188 KB

english, 2011

21

ON THE MEAN VALUE OF THE INDEX OF COMPOSITION OF AN INTEGER II

ZHANG, DEYU, LÜ, MEIMEI, ZHAI, WENGUANG

Journal:

International Journal of Number Theory

Year:

2013

Language:

english

File:

PDF, 191 KB

english, 2013

22

Shifted convolution of cusp-forms with\(\theta \)-series

Lü, Guangshi, Wu, Jie, Zhai, Wenguang

Journal:

The Ramanujan Journal

Year:

2016

Language:

english

File:

PDF, 268 KB

english, 2016

23

Sign changes of the error term in Weyl’s law for Heisenberg manifolds

Tsang, Kai-Man, Zhai, Wenguang

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 266 KB

english, 2012

24

[ACM Press the International Conference for High Performance Computing, Networking, Storage and Analysis - Denver, Colorado (2013.11.17-2013.11.21)] Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis on - SC '13 - ACIC

Liu, Mingliang, Jin, Ye, Zhai, Jidong, Zhai, Yan, Shi, Qianqian, Ma, Xiaosong, Chen, Wenguang

Year:

2013

Language:

english

File:

PDF, 1006 KB

english, 2013

25

Automatic Cloud I/O Configurator for I/O Intensive Parallel Applications

Zhai, Jidong, Liu, Mingliang, Jin, Ye, Ma, Xiaosong, Chen, Wenguang

Journal:

IEEE Transactions on Parallel and Distributed Systems

Year:

2015

Language:

english

File:

PDF, 1.60 MB

english, 2015

26

On the mean square of an arithmetical error term of the Selberg class in short intervals

Cao, Xiaodong, Tanigawa, Yoshio, Zhai, Wenguang

Journal:

International Journal of Number Theory

Year:

2015

Language:

english

File:

PDF, 333 KB

english, 2015

27

Understanding Co-running Behaviors on Integrated CPU/GPU Architectures

Zhang, Feng, Zhai, Jidong, He, Bingsheng, Zhang, Shuhao, Chen, Wenguang

Journal:

IEEE Transactions on Parallel and Distributed Systems

Year:

2016

Language:

english

File:

PDF, 811 KB

english, 2016

28

Some problems about the ternary quadratic form m 12 +m 22 +m 32

Guo, Ruting, Zhai, Wenguang

Journal:

Acta Arithmetica

Year:

2012

Language:

english

File:

PDF, 328 KB

english, 2012

29

A weighted divisor problem

Jia, Lirui, Zhai, Wenguang

Journal:

Journal of Number Theory

Year:

2017

Language:

english

File:

PDF, 490 KB

english, 2017

30

Second moment of error term of mean value for binary Egyptian fractions

Xiao, Xuanxuan, Zhai, Wenguang

Journal:

Frontiers of Mathematics in China

Year:

2020

File:

PDF, 345 KB

2020

31

On the average number of cyclic subgroups of the groups $${\mathbb {Z}}_{n_1} \times {\mathbb {Z}}_{n_2}\times {\mathbb {Z}}_{n_3}$$Zn1ÃZn2ÃZn3 with $$n_1,n_2,n_3\le x$$n1,n2,n3â¤x

TÃ³th, LÃ¡szlÃ³, Zhai, Wenguang

Journal:

Research in Number Theory

Year:

2020

File:

PDF, 582 KB

2020

32

A Fast Lock for Explicit Message Passing Architectures

Tang, Xiongchao, Tang, Xiongchao, Zhang, Chen, Zhai, Jidong, Qian, Xuehai, Chen, Wenguang, Jiang, Yong

Journal:

IEEE Transactions on Computers

Year:

2020

File:

PDF, 1.97 MB

2020

33

Improving transfection of human pulmonary epithelial cells by doping LMW-PEI-g-chitosan with β-estradiol

Peng Sun, Xinyun Zhai, Yongfeng Luo, Chaonan Ma, Jun Xu, Wenguang Liu

Journal:

Journal of Applied Polymer Science

Year:

2011

Language:

english

File:

PDF, 969 KB

english, 2011

34

Guanidinylation: A simple way to fabricate cell penetrating peptide analogue-modified chitosan vector for enhanced gene delivery

Xinyun Zhai, Peng Sun, Yongfeng Luo, Chaonan Ma, Jun Xu, Wenguang Liu

Journal:

Journal of Applied Polymer Science

Year:

2011

Language:

english

File:

PDF, 1.05 MB

english, 2011

35

Zinc Ion Uniquely Induced Triple Shape Memory Effect of Dipole–Dipole Reinforced Ultra-High Strength Hydrogels

Yanjiao Han, Tao Bai, Yuan Liu, Xinyun Zhai, Wenguang Liu

Journal:

Macromolecular Rapid Communications

Year:

2012

Language:

english

File:

PDF, 844 KB

english, 2012

36

On thekdimensional Piatetski-Shapiro prime number theorem

Journal:

Science China Mathematics

Year:

1999

Language:

english

File:

PDF, 439 KB

english, 1999

37

Number of ℬ -free numbers in short intervals

Journal:

Chinese Science Bulletin

Year:

2000

Language:

english

File:

PDF, 194 KB

english, 2000

38

Short Interval Results for a Class of Integers

Journal:

Monatshefte für Mathematik

Year:

2003

Language:

english

File:

PDF, 321 KB

english, 2003

39

On the mean square of the error term for the asymmetric two-dimensional divisor problem (I)

Wenguang Zhai, Xiaodong Cao

Journal:

Monatshefte für Mathematik

Year:

2010

Language:

english

File:

PDF, 267 KB

english, 2010

40

On the mean square of the error term for the asymmetric two-dimensional divisor problems(II)

Xxiaodong Cao, Wenguang Zhai

Journal:

Monatshefte für Mathematik

Year:

2010

Language:

english

File:

PDF, 308 KB

english, 2010

41

On the Distribution of r-Full and l-Free Integersin Short Intervals

Wenguang Zhai, Xiaodong Cao

Journal:

Monatshefte für Mathematik

Year:

2000

Language:

english

File:

PDF, 135 KB

english, 2000

42

On the Average Number of Unitary Factors of Finite Abelian Groups (II)

Journal:

Acta Mathematica Sinica, English Series (Springer)

Year:

2000

Language:

english

File:

PDF, 133 KB

english, 2000

43

On the Rankin-Selberg problem: higher power moments of the Riesz mean error term

Yoshio Tanigawa, WenGuang Zhai, DeYu Zhang

Journal:

Science China Mathematics

Year:

2008

Language:

english

File:

PDF, 282 KB

english, 2008

44

On the error term in Weyl’s law for the Heisenberg manifolds (II)

Journal:

Science China Mathematics

Year:

2009

Language:

english

File:

PDF, 312 KB

english, 2009

45

On a conjecture of Chowla and Walum

XiaoDong Cao, Yoshio Tanigawa, WenGuang Zhai

Journal:

Science China Mathematics

Year:

2010

Language:

english

File:

PDF, 262 KB

english, 2010

46

LogGPO: An accurate communication model for performance prediction of MPI programs

WenGuang Chen, JiDong Zhai, Jin Zhang, WeiMin Zheng

Journal:

SCIENCE CHINA Information Sciences

Year:

2009

Language:

english

File:

PDF, 566 KB

english, 2009

47

An inhalable β2-adrenoceptor ligand-directed guanidinylated chitosan carrier for targeted delivery of siRNA to lung

Yongfeng Luo, Xinyun Zhai, Chaonan Ma, Peng Sun, Zhiping Fu, Wenguang Liu, Jun Xu

Journal:

Journal of Controlled Release

Year:

2012

Language:

english

File:

PDF, 1.45 MB

english, 2012

48

A generalized divisor problem and the sum of Chowla and Walum

Cao, Xiaodong, Furuya, Jun, Tanigawa, Yoshio, Zhai, Wenguang

Journal:

Journal of Mathematical Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 218 KB

english, 2013

49

Disturbance in function and expression of condensin affects chromosome compaction in HeLa cells

Zhai, Lei, Wang, Hongzhen, Tang, Wen, Liu, Wenguang, Hao, Shui, Zeng, Xianlu

Journal:

Cell Biology International

Year:

2011

Language:

english

File:

PDF, 280 KB

english, 2011

50

On the mean square of the error term for the asymmetric two-dimensional divisor problems(II)

Cao, Xiaodong, Zhai, Wenguang

Journal:

Monatshefte für Mathematik

Year:

2009

File:

PDF, 60 KB

2009