On the iteration of . (Sur l'itéré de .)
On the Iwahori-spherical discrete series for -adic Chevalley groups; formal degrees and -packets
On the Iwasaw ...-invariants of certain families of real quadratic fields.
On the Iwasawa invariants of certain -extensions
On the iwasawa invariants of totally real number fields.
On the Iwasawa theory of CM elliptic curves at supersingular primes
On the Iwasawa λ-invariants of quaternion extensions
On the Iwasawa λ-invariants of real quadratic fields
On the jacobian variety of some algebraic curves
On the Jacobsthal sum ...(a) and the related sum ...(a).
On the joint 2-adic complexity of binary multisequences
Joint 2-adic complexity is a new important index of the cryptographic security for multisequences. In this paper, we extend the usual Fourier transform to the case of multisequences and derive an upper bound for the joint 2-adic complexity. Furthermore, for the multisequences with pn-period, we discuss the relation between sequences and their Fourier coefficients. Based on the relation, we determine a lower bound for the number of multisequences with given joint 2-adic complexity.
On the joint 2-adic complexity of binary multisequences∗
Joint 2-adic complexity is a new important index of the cryptographic security for multisequences. In this paper, we extend the usual Fourier transform to the case of multisequences and derive an upper bound for the joint 2-adic complexity. Furthermore, for the multisequences with pn-period, we discuss the relation between sequences and their Fourier coefficients. Based on the relation, we determine a lower bound for the number of multisequences...
On the jumps in the series of ramifications groups
On the -polygonal numbers and the mean value of Dedekind sums
For any positive integer , it is easy to prove that the -polygonal numbers are . The main purpose of this paper is, using the properties of Gauss sums and Dedekind sums, the mean square value theorem of Dirichlet -functions and the analytic methods, to study the computational problem of one kind mean value of Dedekind sums for -polygonal numbers with , and give an interesting computational formula for it.
On the -th extension of the sieve of Eratosthenes.
On the k-analogue of a result in the theory of the Riemann zeta function
On the k-free divisor problem
On the k-free divisor problem (II)
On the Khintchine constant for centred continued fraction expansions.
On the Kodaira Dimension of the Moduli Space of Abelian Varieties.