On the orders of zero of certain functions
On the ordinarity of the maximal real subfield of cyclotomic function fields
The aim of this paper is to clarify the ordinarity of cyclotomic function fields. In the previous work [J. Number Theory 133 (2013)], the author determined all monic irreducible polynomials m such that the maximal real subfield of the mth cyclotomic function field is ordinary. In this paper, we extend this result to the general case.
On the orthogonal groups of unimodular quadratic forms. II.
On the orthogonal symmetry of L-functions of a family of Hecke Grössencharacters
The family of symmetric powers of an L-function associated with an elliptic curve with complex multiplication has received much attention from algebraic, automorphic and p-adic points of view. Here we examine one explicit such family from the perspectives of classical analytic number theory and random matrix theory, especially focusing on evidence for the symmetry type of the family. In particular, we investigate the values at the central point and give evidence that this family can be modeled by...
On the -adic continuation of the logarithmic derivative of certain hypergeometric functions
On the adic nearby cycles of log smooth families
On the problem
On the packing densities of superballs and other bodies.
On the p-adic Eichler-Shimura isomorphism for ...-adic cusp forms.
On the p-adic height of Heegner cycles.
On the p-adic Leopoldt transform of a power series
On the p-adic Waring's problem
On the pair correlation conjecture for zeros of the Riemann zeta-function.
On the papers of Ramachandra and Kátai
On the parity of generalized partition functions, III
Improving on some results of J.-L. Nicolas [15], the elements of the set , for which the partition function (i.e. the number of partitions of with parts in ) is even for all are determined. An asymptotic estimate to the counting function of this set is also given.
On the parity of k-th powers modulo p. A generalization of a problem of Lehmer
On the parity of p(n)
On the parity of ranks of Selmer groups. III.
On the parity of the class number of the field
On the parity of the class numbers of real abelian fields