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[PDF] Top 20 On the mean values of Dedekind sums

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On the mean values of Dedekind sums

On the mean values of Dedekind sums

... 523-527. 4. J. B. Conrey, Eric Fransen, Robert Klein and Clayton Scott, Mean values of Dedekind sums, J. Number Theory 56 (1996), 214-226. 5. L. J. Mordell, The reciprocity ... Voir le document complet

15

Mean values and correlations of multiplicative functions : the ``pretentious" approach

Mean values and correlations of multiplicative functions : the ``pretentious" approach

... that the content of the last theorem is rather ...to the functions f : N → {−1,1}, Theorem ...proportion of sign changes, which is the main consequence of the ... Voir le document complet

128

Long large character sums

Long large character sums

... by the values they take on prime numbers and therefore, combined with their periodicity, they offer a powerful mean to reach understanding on questions concerning primes and ...often the case ... Voir le document complet

97

On sums of Hecke series in short intervals

On sums of Hecke series in short intervals

... moments of automorphic L-functions L f (s, X) have been recently investigated by ...exploit the idea of the nonnegativity of cubes of central values of automorphic ... Voir le document complet

17

Reconstruction Algorithms for Sums of Affine Powers

Reconstruction Algorithms for Sums of Affine Powers

... instead of the current (less stringent) condition e i > 5s 2 ...Models of computation Our algorithms take as inputs polynomials with coefficients in an arbitrary field K of characteristic ... Voir le document complet

54

Fast and slow points of Birkhoff sums

Fast and slow points of Birkhoff sums

... Other sums. The study of S n,α f (x) is a particular case of the series P n≥1 a n f (x + ...In the particular case a n = 1/n this series, also called the one-sided ergodic ... Voir le document complet

20

Asymptotic properties of Dedekind zeta functions in families of number fields

Asymptotic properties of Dedekind zeta functions in families of number fields

... without the assumption of the Rie- mann ...Unfortunately, the proof given there is flawed. It uses an unjustified change of limits in the summation over prime powers and ... Voir le document complet

9

Evaluating convolution sums of the divisor function by quasimodular forms

Evaluating convolution sums of the divisor function by quasimodular forms

... in the field of rational numbers, we could have used the fundamental fact that, for every even k > 0 and every integer N ≥ 1, the space of cuspidal forms of weight k on Γ 0 ... Voir le document complet

27

Multiple binomial sums

Multiple binomial sums

... to the right-hand side of the above identity, and this leads to Dixon’s ...in the range of ...involves the certificate. A few works address this issue for single sums ... Voir le document complet

40

On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes

On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes

... 5. The non-abelian case We showed in [Lou03] how taking into account the behavior of the prime 2 in CM-fields can greatly improve upon the upper bounds on the root num- bers ... Voir le document complet

16

Espaces homogènes et arithmétique des schémas en groupes réductifs sur les anneaux de Dedekind

Espaces homogènes et arithmétique des schémas en groupes réductifs sur les anneaux de Dedekind

... y est donc rationnellement trivial et, par [7], localement trivial pour la topologie de Zariski et il en est de même de X. BIBLIOGRAPHIE [1] M. V. BOROVOI, Abelianization of the second non abelian Galois ... Voir le document complet

7

A reciprocity congruence for an analogue of the Dedekind sum and quadratic reciprocity

A reciprocity congruence for an analogue of the Dedekind sum and quadratic reciprocity

... proof of Gauss’s Lemma (see [4], p. 133 , for example). Let r1,r2,... rn be the n residues of k(cd + 1), 1 k (d2 - 1)/2, falling in the upper half of the least positive residue ... Voir le document complet

10

Sturm's theorem on the zeros of sums of eigenfunctions: Gelfand's strategy implemented

Sturm's theorem on the zeros of sums of eigenfunctions: Gelfand's strategy implemented

... Arnold was very much intrigued by Statement 1.4 , as is illustrated by [ 3 ], his last pub- lished paper, where he in particular relates a discussion with I. Gelfand 6 , which we tran- scribe below, using Arnold’s words, ... Voir le document complet

24

P-spectrum and collapsing of connected sums, calculus of the limit

P-spectrum and collapsing of connected sums, calculus of the limit

... is the Prescription of the ...part of the spectrum of the Laplace-Beltrami operator on certain mani- ...technique of transversality, and shows that this hypothesis ... Voir le document complet

22

Riesz transforms on connected sums

Riesz transforms on connected sums

... list of complete Riemannian manifolds (M 0 , g 0 ) on which the Riesz transform is bounded on L p for every p ∈]1, ∞[ and satisfying our hypothe- ...groups of polynomial growth [1], manifolds with ... Voir le document complet

13

Sums of large global solutions to the incompressible Navier-Stokes equations

Sums of large global solutions to the incompressible Navier-Stokes equations

... TO THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS JEAN-YVES CHEMIN, ISABELLE GALLAGHER, AND PING ZHANG ...be the (open) set of ˙ H 1 2 (R 3 ) divergence free vector fields generating global smooth ... Voir le document complet

17

What Does the " Arrow of Time " Mean?

What Does the " Arrow of Time " Mean?

... to the stream of changes affecting an object, a person, an institution, a physical ...truly the phenom- enon that best suggests the idea of time, and one can easily understand why: In ... Voir le document complet

13

A Sums-of-Squares Extension of Policy Iterations

A Sums-of-Squares Extension of Policy Iterations

... precision of the analysis of boundedness for such ...polynomials. The current approach improves the previous frameworks developed in [GGTZ07, AGG12] to handle affine (or very specific) ... Voir le document complet

30

A Sums-of-Squares Extension of Policy Iterations

A Sums-of-Squares Extension of Policy Iterations

... Benchmarks. The presented analysis has been applied to available examples of the control community literature: piecewise linear systems, polynomial sys- tems, ...gathered the examples matching ... Voir le document complet

21

On the consistency of supervised learning with missing values

On the consistency of supervised learning with missing values

... the mean vector and covariance matrix from the incomplete data (using an EM algorithm, see Section ...knowing the observed data and the estimated ...class of popular approaches ... Voir le document complet

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