Effective and noneffective results on certain arith- metical functions. J. Number Theory, 12(1):10-19, 1980.R. Balasubramanian and K. Ramachandra, Effective and non-effective results on certain arithmetical fun
Huber, T.: Differential equations for cubic theta functions. Int. J. Number Theory 7(7), 1945–1957 (2011) Article MathSciNet Google Scholar Ramanujan, S.: On certain arithmetical functions. Trans. Camb. Philos. Soc. 22, 159–184 (1916) Google Scholar Sebbar, A., Sebbar, A.: Ei...
On a sum involving certain arithmetic functions and the integral part function Article 11 June 2022 On a sum involving the Mangoldt function Article 22 October 2020 On Certain Sums of Arithmetic Functions Involving the GCD and LCM of Two Positive Integers Article Open access 22 February 2021...
R Bellman Ramanujan sums and the average value of arithmetic functions Duke Math. J., 17 (1950), pp. 159-168 View at publisherCrossrefView in ScopusGoogle Scholar 2. B.C Berndt A new method in arithmetical functions and contour integration Canad. Math. Bull., 16 (1973), pp. 381-387 ...
In addition, as a result of our study of Question 1.1, we observe some interesting analogies between number fields and certain types of manifolds. One difficulty that arises in looking for answers to Question 1.1 is that in principle it is hard to find non-conjugated number fields sharing the...
2.16 Differential equation of the third order for ω(J ). The s-functions 3 Concerning certain conformalmappings and the triangle functions arising fromthem 3.1 Replacement of the Riemann surface occurring by simpler figures 3.2 Figure for the representation of the connection between λ and J ...
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. ...
ON THE LEAST PRIME IN AN ARITHMETICAL PROGRESSION AND THEOREMS CONCERNING THE ZEROS OF DIRICHLET'S L-FUNCTIONS (Ⅱ) First of all, let D be a large integer with (D, k)=1, and suppose that P(D, k) is the least prime in the progression {Dn + k). Further let L be a lower bou....
The simplicity of the law by which the celestial bodies move, and the relations of their masses and distances, permit analysis to follow their motions up to a certain point; and in order to determine the state of the system of these great bodies in past or future centuries, it suffices ...
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. ...