On 2-Adic L-Functions and Cyclotomic Invariants.
On a trivial zero problem.
On Bernoulli and Euler Numbers.
On functional equations of complex powers.
On Genocchi numbers and polynomials.
On interpolation functions of the generalized twisted -Euler polynomials.
On Li’s Coefficients for Some Classes of L-Functions
AMS Subj. Classification: 11M41, 11M26, 11S40We study the generalized Li coefficients associated with the class S♯♭ of functions containing the Selberg class and (unconditionally) the class of all automorphic L-functions attached to irreducible unitary cuspidal representations of GLN(Q) and the class of L-functions attached to the Rankin-Selberg convolution of two unitary cuspidal automorphic representations π and π′ of GLm(AF ) and GLm′ (AF ). We deduce a full asymptotic expansion of the Archimedean...
On Morita’s -adic -function
On multiple twisted -adic -Euler -functions and -functions.
On -adic -functions
On -adic -functions and the Riemann-Hurwitz genus formula
On -adic -functions of over totally real fields
Let be the Rankin product -function for two Hilbert cusp forms and . This -function is in fact the standard -function of an automorphic representation of the algebraic group defined over a totally real field. Under the ordinarity assumption at a given prime for and , we shall construct a -adic analytic function of several variables which interpolates the algebraic part of for critical integers , regarding all the ingredients , and as variables.
On p-adic L-functions and the Riemann-Hurwitz genus formula
On p-adic L-functions Associated to Elliptic Curves.
On simple Igusa local zeta functions.
On the behavior of Igusa,'s local zeta function in towers of field extension
On the Behaviour of p-Adic L-Functions at s= 0.
On the classgroups of imaginary abelian fields
Let be an odd prime, an odd, -adic Dirichlet character and the cyclic imaginary extension of associated to . We define a “-part” of the Sylow -subgroup of the class group of and prove a result relating its -divisibility to that of the generalized Bernoulli number . This uses the results of Mazur and Wiles in Iwasawa theory over . The more difficult case, in which divides the order of is our chief concern. In this case the result is new and confirms an earlier conjecture of G....
On the cyclotomic invariants of Iwasawa.
On the degree of a local zeta function