Arithmetical functionsCohen–Ramanujan sumAdditive functions11A2511L03Srinivasa Ramanujan provided series expansions of certain arithmetical functions in terms of the exponential sum defined by cr(n)=∑m=1(m,r)=1re2πimnrdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage...
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...
We follow, the evolution of ideas arising from Ramanujan's 1916 paper 'On certain arithmetical functions' by examining multiplicative η-products and quotients and their relation with the characters of the Mathieu group M 24 and the automorphism group of the Leech lattice. This leads to the Monst...
(1)A request for a purchase,called a purchase requisition(请购单), is initiated by the person in charge of merchandise stock(存货)records whenever certain items are needed or when quantities of certain merchandise fall below established reorder points (再定货点).The requisition is forwarded to ...
Those who don’t are ridiculed. The BODMAS/PEMDAS believers are certain that they are correct because, it’s maths, isn’t it, and maths is never wrong. They lose track of the fact that PEMDAS/BODMAS is just a convention , and other conventions, such ‘strict left to right’ or SADME...
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...
Let G be a simple connected graph and di be the degree of its ith vertex. In a recent paper [D. Vukičević, B. Furtula, Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges, J. Math. Chem. 46 (2009) 1369–1376] the “first...
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 ...
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On the values of certain q-hypergeometric series 5 On the Diophantine equation 19 Arithmetical properties of the solutions of certain functional equations 25 Multiple zeta sums via box splines 43 Galois representations attached to elliptic curves and diophantine problems 71 One-sided sifting dens...