On the limiting distribution of f(p + 1) for non-negative additive functions
On the limiting distribution of non negative additive functions
On the linear diophantine problem of Frobenius.
On the linear diophantine problem of Frobenius in three variables.
On the Linear Independence of Certain Theta-Series.
On the linear independence of -adic -functions modulo
Let be a prime. Let such that , let be characters of conductor not divided by and let be the Teichmüller character. For all between and , for all between and , setLet and let be a prime of the valuation ring of . For all let be the Iwasawa series associated to and its reduction modulo . Finally let be an algebraic closure of . Our main result is that if the characters are all distinct modulo , then and the series are linearly independent over a certain...
On the linear independence of roots of unity over finite extensions of Q
On the linear independence of the values of Gauss hypergeometric function
On the Linnik-Sprindžuk theorem about the zeros of L-functions
On the local behaviour of ordinary -adic representations
Let be a primitive cusp form of weight at least 2, and let be the -adic Galois representation attached to . If is -ordinary, then it is known that the restriction of to a decomposition group at is “upper triangular”. If in addition has CM, then this representation is even “diagonal”. In this paper we provide evidence for the converse. More precisely, we show that the local Galois representation is not diagonal, for all except possibly finitely many of the arithmetic members of a non-CM...
On the local behaviour of some arithmetical functions
On the local distribution of the iterated divisor function.
On the Local Langlands Conjecture for Central Division Algebras of Index p.
On the Local Langlands Conjecture for GL(2).
On the local theta-correspondence.
On the Local Zeta Function of Quaternionic Shimura Varieties with Bad Reduction.
On the location of poles of the triple -functions
On the logarithmic derivatives of Dirichlet L-functions at s=1
On the logarithmic factor in error, term estimates in certain additive congruence problems
On the lonely runner conjecture
Suppose runners having nonzero distinct constant speeds run laps on a unit-length circular track. The Lonely Runner Conjecture states that there is a time at which a given runner is at distance at least from all the others. The conjecture has been already settled up to seven () runners while it is open for eight or more runners. In this paper the conjecture has been verified for four or more runners having some particular speeds using elementary tools.