Relation between the Values of Prime Numbers and Their Numbers

被引:1
作者
Ovchinnikov, Yu N. [1 ,2 ]
机构
[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
[2] Russian Acad Sci, Landau Inst Theoret Phys, Chernogolovka 142432, Moscow Oblast, Russia
关键词
D O I
10.1134/S1063776121060066
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Euler equation gives a set of an infinite number of relations between the values of prime numbers and their numbers. These relations are implemented by conditionally convergent series. An analytic function implementing these relations crosses a value of 1 an infinite number of times. The distance between the first and second points of this type turns out to be anomalously large.
引用
收藏
页码:109 / 115
页数:7
相关论文
共 6 条
[1]  
[Anonymous], 2004, NOT AM MATH SOC
[2]  
Chebyshev P. L., 1848, NUMBER PRIMES LESS G
[3]  
Chebyshev P. L., 1850, PRIME NUMBERS
[4]  
Edwards H. M., 1974, RIEMANNS ZETA FUNCTI
[5]   Zeros of the Riemann Zeta Function on the Line z=1/2+it0 II [J].
Ovchinnikov, Yu N. .
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2021, 132 (03) :477-479
[6]   AN ELEMENTARY PROOF OF THE PRIME-NUMBER THEOREM [J].
SELBERG, A .
ANNALS OF MATHEMATICS, 1949, 50 (02) :305-313