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Publications Influence

Upper and lower bounds at s = 1 for certain Dirichlet series with Euler product

- G. Molteni
- Mathematics
- 15 January 2002

Estimates of the form L (j) (s,A) ,j, DA R A in the range |s 1| 1/logRA for general L-functions, where RA is a parameter related to the functional equation of L(s,A), can be quite easily obtained if… Expand

67 5- PDF

Representation of a 2-power as sum of k 2-powers: A recursive formula

- A. Giorgilli, G. Molteni
- Mathematics
- 1 April 2013

Abstract For every integer k, a k-representation of 2 k − 1 is a string n = ( n 1 , … , n k ) of nonnegative integers such that ∑ j = 1 k 2 n j = 2 k − 1 , and W ( 1 , k ) is their number. We present… Expand

4 2- PDF

Linear independence of L-functions

- J. Kaczorowski, G. Molteni, A. Perelli
- Mathematics
- 26 January 2006

Abstract We prove the linear independence of the L-functions, and of their derivatives of any order, in a large class 𝒞 defined axiomatically. Such a class contains in particular the Selberg class… Expand

15 2

Inequalities for the beta function

- L. Grenié, G. Molteni
- Mathematics
- 1 October 2015

Let g(x):= (e/x)xΓ(x+1) and F(x,y):= g(x)g(y)/g(x+y). Let Dx,y (k) be the k th differential in Taylor's expansion of logF(x,y) . We prove that when (x,y) ∈ R+ 2 one has (-1)k-1Dx,y (k) (X,Y) > 0 for… Expand

13 1- PDF

Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH

- L. Grenié, G. Molteni
- Computer Science, Mathematics
- Math. Comput.
- 16 December 2013

TLDR

16 1- PDF

REPRESENTATION OF A 2-POWER AS SUM OF k 2-POWERS: THE ASYMPTOTIC BEHAVIOR

- G. Molteni
- Mathematics
- 19 September 2012

A k-representation of an integer l is a representation of l as sum of k powers of 2, where representations differing by the order are considered as distinct. Let be the maximum number of such… Expand

4 1- PDF

On the algebraic independence in the selberg class

- G. Molteni
- Mathematics
- 1 December 2002

We prove that a functionF of the Selberg class ℐ is ab-th power in ℐ, i.e.,F=Hb for someHσ ℐ, if and only ifb divides the order of every zero ofF and of everyp-componentFp. This implies that the… Expand

3 1- PDF

Extremal values for the sum ∑r=1τe(a2r/q)

- J. Kaczorowski, G. Molteni
- Mathematics
- 1 November 2012

Abstract Let q be an odd integer, let τ be the order of 2 modulo q , and let a be coprime with q . Finally, let s ( a / q ) : = ∑ r = 1 τ e ( a 2 r / q ) . We prove that | s ( a / q ) | can be as… Expand

1 1

Some remarks on the unique factorization in certain semigroups of classical $L$-functions

- J. Kaczorowski, G. Molteni, A. Perelli
- Mathematics
- 1 September 2007

A well known result by Ram Murty [8] states that the Selberg orthonormality conjecture (SOC for short) for the Selberg class S implies the Artin conjecture on the holomorphy of the Artin L-functions… Expand

3 1- PDF

Some Arithmetical Properties of the Generating Power Series for the Sequence {ζ(2k+1)}k=1∞

- G. Molteni
- Mathematics
- 2001

Let fodd(z):= ∑∞k=1ζ(2k + 1)z2k be the power series with the values of the Riemann ζ function at odd integers as coefficients. This function can be analytically continued to a meromorphic function… Expand

3 1- PDF

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