On a multiplicative partition function.
On a new analytical method and its applications
On a new family of generalized Stirling and Bell numbers.
On a new method in the analysis with applications
On a noncommutative Iwasawa main conjecture for varieties over finite fields
We formulate and prove an analogue of the noncommutative Iwasawa main conjecture for -adic Lie extensions of a separated scheme of finite type over a finite field of characteristic prime to .
On a notion of “Galois closure” for extensions of rings
We introduce a notion of “Galois closure” for extensions of rings. We show that the notion agrees with the usual notion of Galois closure in the case of an degree extension of fields. Moreover, we prove a number of properties of this construction; for example, we show that it is functorial and respects base change. We also investigate the behavior of this Galois closure construction for various natural classes of ring extensions.
On a number pyramid related to the binomial, Deleham, Eulerian, MacMahon and Stirling number triangles.
On a number theoretic conjecture on positive integral points in a 5-dimensional tetrahedron and a sharp estimate of the Dickman–De Bruijn function
It is well known that getting the estimate of integral points in right-angled simplices is equivalent to getting the estimate of Dickman-De Bruijn function which is the number of positive integers and free of prime factors . Motivating from the Yau Geometry Conjecture, the third author formulated the Number Theoretic Conjecture which gives a sharp polynomial upper estimate that counts the number of positive integral points in n-dimensional () real right-angled simplices. In this paper, we...
On a Number-Theoretical Integration Method.
On a Number-Theoretical Integration Method. (Short Communications).
On a number-theoretical problem of Erdös.
On a one-parameter family of Riordan arrays and the weight distribution of MDS codes.
On a paper by A. Baker on the approximation of rational powers of e
On a paper of Baker and Schinzel
On a paper of Guthrie and Nymann on subsums of infinite series
In 1988 the first author and J. A. Guthrie published a theorem which characterizes the topological structure of the set of subsums of an infinite series. In 1998, while attempting to generalize this result, the second author noticed the proof of the original theorem was not complete and perhaps not correct. The present paper presents a complete and correct proof of this theorem.
On a partition function of Richard Stanly.
On a partition theorem of Göllnitz.
On a permutation group related to ζ(2)
On a polynomial conjecture of Pál Turán
On a positivity property of the Riemann ξ-function