We prove some value-distribution results for a class of L-functions with rational moving targets. The class contains Selberg class, as well as the Riemann-zeta function.
Let p≥5 be a prime. For any integer h, the Hardy sum is defined by H(h,p)=sum((-1)^(j+1+[(hj)/p]))from (p-1) to (j=1) which is related to the classical Dedekind sum. The mean values of the Hardy sum in short interval...Let p≥5 be a prime. For any integer h, the Hardy sum is defined by H(h,p)=sum((-1)^(j+1+[(hj)/p]))from (p-1) to (j=1) which is related to the classical Dedekind sum. The mean values of the Hardy sum in short intervals are studied by using the mean value theorems of Dirichlet L-functions.展开更多
Objective To investigate the value of special examination in the diagnosis of thumb syndactyly. Methods Fourteen cases of thumb deformities were detected preoperatively by X-ray plain film, angiography and ultrasound ...Objective To investigate the value of special examination in the diagnosis of thumb syndactyly. Methods Fourteen cases of thumb deformities were detected preoperatively by X-ray plain film, angiography and ultrasound examination. The deformities of bone, hemokinesis of thumbs and its blood supply were analysed. The results were compared with their pathological changes during the operation. The deformity was corrected by operations of bone resection, reconstruction of tendon insertion site and preservation of main arteries. Results There were bone deformities 13 cases, abnormal or absent tendon insertion of the main thumb 14 cases. The nutrient of the deformity thumb was supplied by main trunk artery in 11 cases. Conclusion Angiography and ultrasonic examination play an important role in the diagnosis of thumb syndactyly. It can help determine appropriate surgical procedure so that secondary deformities can be prevented after operation. 3 refs,5 figs.展开更多
文摘We prove some value-distribution results for a class of L-functions with rational moving targets. The class contains Selberg class, as well as the Riemann-zeta function.
基金Supported by the National Natural Science Foundation of China(11571277)Supported by the Science and Technology Program of Shaanxi Province(2016GY-077)
文摘Let p≥5 be a prime. For any integer h, the Hardy sum is defined by H(h,p)=sum((-1)^(j+1+[(hj)/p]))from (p-1) to (j=1) which is related to the classical Dedekind sum. The mean values of the Hardy sum in short intervals are studied by using the mean value theorems of Dirichlet L-functions.
文摘Objective To investigate the value of special examination in the diagnosis of thumb syndactyly. Methods Fourteen cases of thumb deformities were detected preoperatively by X-ray plain film, angiography and ultrasound examination. The deformities of bone, hemokinesis of thumbs and its blood supply were analysed. The results were compared with their pathological changes during the operation. The deformity was corrected by operations of bone resection, reconstruction of tendon insertion site and preservation of main arteries. Results There were bone deformities 13 cases, abnormal or absent tendon insertion of the main thumb 14 cases. The nutrient of the deformity thumb was supplied by main trunk artery in 11 cases. Conclusion Angiography and ultrasonic examination play an important role in the diagnosis of thumb syndactyly. It can help determine appropriate surgical procedure so that secondary deformities can be prevented after operation. 3 refs,5 figs.
