Limit theorems for the Mellin transform of the square of the Riemann zeta-function. I
Limit theorems in the space of analytic functions for the Hurwitz zeta-function with an algebraic irrational parameter
We prove a limit theorem in the space of analytic functions for the Hurwitz zeta-function with algebraic irrational parameter.
Linear differential equations and multiple zeta values. I. Zeta(2)
Certain generating fuctions for multiple zeta values are expressed as values at some point of solutions of linear meromorphic differential equations. We apply asymptotic expansion methods (like the WKB method and the Stokes operators) to solutions of these equations. In this way we give a new proof of the Euler formula ζ(2) = π²/6. In further papers we plan to apply this method to study some third order hypergeometric equation related to ζ(3).
Linear independence of Hurwitz zeta values and a theorem of Baker-Birch-Wirsing over number fields
Local L-factors of motives and regularized determinants.
Logarithmic derivative of the Euler Γ function in Clifford analysis.
The logarithmic derivative of the Γ-function, namely the ψ-function, has numerous applications. We define analogous functions in a four dimensional space. We cut lattices and obtain Clifford-valued functions. These functions are holomorphic cliffordian and have similar properties as the ψ-function. These new functions show links between well-known constants: the Eurler gamma constant and some generalisations, ζR(2), ζR(3). We get also the Riemann zeta function and the Epstein zeta functions.
Low lying zeros of families of -functions
Lower bound of real primitive L-function at s=1
Lower bounds for discriminants of number fields
Lower bounds for power moments of L-functions
Lower bounds for relative class numbers of imaginary abelian number fields and CM-fields
Lower bounds for the conductor of L-functions
Lower bounds of discrete moments of the derivatives of the Riemann zeta-function on the critical line
We establish unconditional lower bounds for certain discrete moments of the Riemann zeta-function and its derivatives on the critical line. We use these discrete moments to give unconditional lower bounds for the continuous moments , where is a non-negative integer and a rational number. In particular, these lower bounds are of the expected order of magnitude for .
Lower order terms for the one-level densities of symmetric power L-functions in the level aspect
Lower order terms in the 1-level density for families of holomorphic cuspidal newforms
Lower order terms of the second moment of S(t)
L-Series, Modular Imbeddings, and Signatures.