Ramachandra. Effective and noneffective results on certain arith- metical functions. J. Number Theory, 12(1):10-19, 1980.R. Balasubramanian and K. Ramachandra. Effective and noneffective results on certain arithmetical functions. J. Number Theory, 12(1):10-19, 1980....
In his remarkable memoir 'On certain arithmetical functions'* Ramanujan considers, among other functions of much interest, the. function τ(n) defined by This function is important in the theory of the representation of a number as a sum of 24 squares. In fact where r24(n) is the number ...
[22] S. Ramanujan, On certain arithmetical functions, Trans. Cambridge Philos. Soc. 22 (1916), no. 9, 159–184. Search in Google Scholar [23] M. Ram Murty and V. Kumar Murty, Odd values of Fourier coefficients of certain modular forms, Int. J. Number Theory 3 (2007), no. 3, ...
Financial accounting relies on certain standards (准则) or guides (指南)that have proved useful over the years in imparting economic data. These standards are called generally accepted accounting principles (公认会计原则).They are closely related to experience and practice and may change over time. ...
E Cohen Arithmetical Notes XIII, A sequel to Note IV Elem. Math., 18 (1963), pp. 8-11 Google Scholar 9. E Cohen Remark on a set of integers Acta Sci. Math. (Szeged), 25 (1964), pp. 179-180 CrossrefGoogle Scholar 10. E Cohen On the mean parity of arithmetical functions Duke ...
The main difference between the present and the original method is that we include the contribution of the poles of the associated Dirichlet series on a certain line in the main term. 展开 关键词: mean square formula arithmetical functions Dirichlet series DOI: 10.1006/jnth.1999.2436 被引量...
it is the prince of mathematics, and the sciences founded on it are absolutely certain. It has measured the distances and sizes of the stars it has discovered the elements and their location... it has given birth to architecture and to perspective and to the divine art of painting. ...
This section provides a short brief on certain definitions regarding arithmetic operations on fuzzy sets and introduces the classic logistic regression method. 3.1. Some basic rules in fuzzy set theory Definition 3.1.1 Consider U elements as a universal set indicated by“X”. Membership of X, a ...
On the contrary, it follows from the theorem itself that, since there are infinitely many more uniform distributions, the number of states which lead to uniform distributions after a certain time t1, is much greater than the number that leads to non-uniform ones, and the latter are the ones...
A theorem on accepted elasticity in certain local arithmetical congruence monoids - Banister, Chaika, et al. () Citation Context ...l be dependent on gcd(a, b). When gcd(a, b) = p k for p a prime integer, then M(a, b) is called local. Some results concerning the arithmetic of...