Zobrazeno 1 - 10
of 15 963
pro vyhledávání: '"arithmetic functions"'
Autor:
De Koninck, Jean-Marie1 jmdk@mat.ulaval.ca, Verreault, William2 william.verreault@utoronto.ca
Publikováno v:
Publications de l'Institut Mathématique. 2024, Vol. 115 Issue 129, p45-76. 32p.
Autor:
Das, Sourabhashis
For a natural number n, let M(n) denote the maximum exponent of any prime power dividing n, and let m(n) denote the minimum exponent of any prime power dividing n. We study the second moments of these arithmetic functions and establish their limiting
Externí odkaz:
http://arxiv.org/abs/2411.08799
We study higher uniformity properties of the von Mangoldt function $\Lambda$, the M\"obius function $\mu$, and the divisor functions $d_k$ on short intervals $(x,x+H]$ for almost all $x \in [X, 2X]$. Let $\Lambda^\sharp$ and $d_k^\sharp$ be suitable
Externí odkaz:
http://arxiv.org/abs/2411.05770
Autor:
József Sándor
This monograph is devoted to arithmetic functions, an area of number theory. Arithmetic functions are very important in many parts of theoretical and applied sciences, and many mathematicians have devoted great interest in this field. One of the inte
Autor:
Destagnol, Kevin, Sofos, Efthymios
We estimate the average of any arithmetic function $k$ over the values of any smooth polynomial in many variables provided only that $k$ has a distribution in arithmetic progressions of fixed modulus. We give several applications of this result inclu
Externí odkaz:
http://arxiv.org/abs/2409.18116