On vanishing theorems for trace forms
On variants of Conway and Conolly's meta-Fibonacci recursions.
On various mean values of Dirichlet L-functions
We give a method of obtaining explicit formulas for various mean values of Dirichlet L-functions which are expressed in terms of the Riemann zeta-function, the Euler function and Jordan's totient functions. Applying those results to mean values of Dirichlet L-functions, we also give an explicit formula for certain mean values of double Dirichlet L-functions.
On Various Means Involving the Fourier Coefficients of Cusp Forms.
On vector-valued modular forms and their Fourier coefficients
On vertex stability with regard to complete bipartite subgraphs
A graph G is called (H;k)-vertex stable if G contains a subgraph isomorphic to H ever after removing any of its k vertices. Q(H;k) denotes the minimum size among the sizes of all (H;k)-vertex stable graphs. In this paper we complete the characterization of -vertex stable graphs with minimum size. Namely, we prove that for m ≥ 2 and n ≥ m+2, and as well as are the only -vertex stable graphs with minimum size, confirming the conjecture of Dudek and Zwonek.
On Vinogradov's estimate of trigonometric sums and the Goldbach-Vinogradov theorem
On volumes of arithmetic quotients of
We apply G. Prasad’s volume formula for the arithmetic quotients of semi-simple groups and Bruhat-Tits theory to study the covolumes of arithmetic subgroups of . As a result we prove that for any even dimension there exists a unique compact arithmetic hyperbolic -orbifold of the smallest volume. We give a formula for the Euler-Poincaré characteristic of the orbifolds and present an explicit description of their fundamental groups as the stabilizers of certain lattices in quadratic spaces. We...
On Waldspurger's theorem
On Waring's problem
On Waring's problem (elementary methods).
On Waring's problem for cubes.
On Waring's problem for fourth and higher powers
On Waring's problem for squares
On Waring's problem for two cubes and two small cubes
On Waring's problem for two squares and three cubes.
On Waring's problem in algebraic number fields
On Waring's problem in algebraic number fields
On Waring's problem in finite fields
On Waring's Problem in GF[p]