Some results on p-extensions of local and global fields
Some results on Poincaré sets
It is known that a set of positive integers is a Poincaré set (also called intersective set, see I. Ruzsa (1982)) if and only if , where and denotes the Hausdorff dimension (see C. Bishop, Y. Peres (2017), Theorem 2.5.5). In this paper we study the set by replacing with . It is surprising that there are some new phenomena to be worthy of studying. We study them and give several examples to explain our results.
Some results on reducibilty for unitary groups and local Asai L-functions.
Some results on the coefficients of the biquadratic theta series.
Some results on the distribution of additive arithmetic functions, II
Some results on the distribution of additive arithmetic functions III
Some results on the distribution of values of additive functions on the set of pairs of positive integers, I
Some results on the distribution of values of additive functions on the set of pairs of positive integers, II
Some results on the unitary analogue of the Lehmer problem.
Some results on unipotent orbital integrals
Some reults on fundamental units in cubic fields.
Some series whose coefficients involve the values (n) for n odd.
Some simple elliptic surfaces of genus zero.
Some solved and unsolved problems in combinatorial number theory, ii
In an earlier paper [9], the authors discussed some solved and unsolved problems in combinatorial number theory. First we will give an update of some of these problems. In the remaining part of this paper we will discuss some further problems of the two authors.
Some solved and unsolved problems in combinatorial number theory
Some special curves of genus 5
Some special subsets of intervals of a locally finite locally semi-modular, local lattice.
Some special W-almost periodic sets on the integers.
Some sporadic groups as Galois groups
Some sporadic groups as Galois groups II