Results 21 to 30 of about 947,467 (42)

Carlitz q-Bernoulli numbers and q-Stirling numbers [PDF]

arXiv, 2007
In this paper we consider carlitz q-Bernoulli numbers and q-stirling numbers of the first and the second kind. From these numbers we derive many interesting formulae associated with q-Bernoulli numbers.
arxiv  

q-Bernoulli numbers and Stirling numbers(2) [PDF]

arXiv, 2007
In this paper we study q-Bernoulli numbers and polynomials related to q-Stirling numbers. From thsese studying we investigate some interesting q-stirling numbers' identities related to q-Bernoulli numbers.
arxiv  

Abel Summation of Ramanujan-Fourier Series [PDF]

, 2015
Using Abel summation the paper proves a weak form of the Wiener-Khinchin formula for arithmetic functions with point-wise convergent Ramanujan-Fourier expansions.
Washburn, John
core  

On the distance between perfect numbers [PDF]

arXiv, 2012
It is shown that there exist infinitely many triangular numbers (congruent to 3 mod 12) which cannot be the distance between two perfect numbers.
arxiv  

A note on Burgess bound [PDF]

arXiv, 2017
We use GL(2) delta method to establish the Burgess bound.
arxiv  

Transcendental equations satisfied by the individual zeros of Riemann $\zeta$, Dirichlet and modular $L$-functions

, 2015
We consider the non-trivial zeros of the Riemann $\zeta$-function and two classes of $L$-functions; Dirichlet $L$-functions and those based on level one modular forms.
França, Guilherme, LeClair, André
core  

Rank 3 filtered $(\varphi,N)$-modules [PDF]

arXiv, 2012
We classify 3-dimensional semistable Frob-semisimple representations of $G_{\mathbb{Q}_{p^{f}}}.$
arxiv  

The relative trace formula in analytic number theory [PDF]

arXiv, 2019
We discuss a variety of applications of the relative trace formula of Kuznetsov type in analytic number theory and the theory of automorphic forms.
arxiv  

Waring's problem in the natural numbers with binary expansions of a special type [PDF]

arXiv, 2012
Let $\mathbb{N}_0$ be a class of natural numbers whose binary expansions contain even numbers of ones. Waring problem in numbers of class $\mathbb{N}_0$ is solved.
arxiv  

Pell Numbers whose Euler Function is a Pell Number [PDF]

arXiv, 2015
In this paper, we show that the only Pell numbers whose Euler function is also a Pell number are $1$ and $2$.
arxiv