Zobrazeno 1 - 10
of 648
pro vyhledávání: '"A. Burnol"'
Autor:
Burnol, Jean-François
We consider the harmonic series $S(k)=\sum^{(k)} m^{-1}$ over the integers having $k$ occurrences of a given block of $b$-ary digits, of length $p$, and relate them to certain measures on the interval $[0,1)$. We show that these measures converge wea
Externí odkaz:
http://arxiv.org/abs/2405.03625
Autor:
Burnol, Jean-François
Let $I(b,d,k)$ be the subseries of the harmonic series keeping only those denominators having exactly $k$ occurrences of the digit $d$ in base $b$. We prove the existence of an asymptotic development to all orders in descending powers of $b$, for $d$
Externí odkaz:
http://arxiv.org/abs/2404.13763
Autor:
Burnol, Jean-François
Publikováno v:
Expositiones Mathematicae, Volume 42, Issue 6, December 2024, 125604
The harmonic sum of the integers which are missing $p$ given digits in a base $b$ is expressed as $b\log(b)/p$ plus corrections indexed by the excluded digits and expressed as integrals involving the digamma function and a suitable measure. A number
Externí odkaz:
http://arxiv.org/abs/2403.03912
Autor:
Burnol, Jean-François
Let $K$ be the sum of the reciprocals of the integers with no occurrence of the digit $b-1$ in base $b$. We show $K = b\log(b) - A/b - B/b^2-C/b^3+O(1/b^4)$ with $A=\zeta(2)/2$, $B = (3\zeta(2)+\zeta(3))/3$ and $C = (2\zeta(2)+4\zeta(3)+\zeta(4))/4$.
Externí odkaz:
http://arxiv.org/abs/2403.01957
Autor:
Burnol, Jean-François
Publikováno v:
Advances in Applied Mathematics Volume 162, January 2025, 102791
For $b>1$ and $\alpha\beta$ a string of two digits in base $b$, let $K_1$ be the subsum of the harmonic series with only those integers having exactly one occurrence of $\alpha\beta$. We obtain a theoretical representation of such $K_1$ series which,
Externí odkaz:
http://arxiv.org/abs/2402.14761
Autor:
Burnol, Jean-François
We consider the series of reciprocals of those positive integers with exactly $k$ occurrences of a given $b$-ary digit $d$ (Irwin series), and obtain for their sums geometrically convergent representations. They are expressed in terms of the moments
Externí odkaz:
http://arxiv.org/abs/2402.09083
Autor:
Burnol, Jean-François
We provide an exact geometrically convergent formula for the summation of the general Kempner series, i.e. the sum of all reciprocals allowed only certain digits in a given base. The coefficients are built from finite power sums and moments of a cert
Externí odkaz:
http://arxiv.org/abs/2402.08525
Autor:
Fevre, Marie-Cecile, SCHILTE, Clotilde, Vincent, Olivier, Hérault, Marie-Christine, Mistral, Thomas, Trouve-Buisson, Thibaut, Picard, Julien, Falcon, Dominique, Bersinger, Samuel, Mourey, Clément, Adolle, Anaïs, Salah, Samia, Manhes, Pauline, Pollet, Angélina, GRECO, Frédéric, CHALARD, kevin, Andréa, Bailleul, Velly, Lionel, Bruder, Nicolas, Inal, Imane, Magand, Clément, Burnol, Laetitia, Morel, Jérôme, PREGNY, Anaèle, FERRE, Jean-Christophe, Bannier, Elise, Lebouvier, Thomas, Caradec, Sophie, Drevet, Claire-Marie, Nadji, Abdelouaid, Lewandowski, Romain, DAILLER, Frédéric, CARRILLON, Romain, GOBERT, Florent, RITZENTHALER, Thomas, LECLERCQ, Mathilde, Dumont, Nathalie, Charpentier, Claire, Alb, Ionel, De Sa, Natalie, Declerck, Nicolas, Boussemart, Pierre, Bellet, Julie, MEAUDRE-DESGOUTTES, Eric, D'ARANDA, Erwan, ESNAULT, Pierre, CHARRUAU, Camille, BELLIER, Rémy, BENARD, Thierry, Carise, Elsa, SEGUIN, Sabrina, Lefrant, Jean Yves, Daurat, Aurélien, Ambert, Audrey, Lebouc, Marie, Hautefeuille, Serge, Escudier, Etienne, Bing, Fabrice, Cosserant, Bernard, Grobost, Romain, Boissy, Camille, Begard, Marc, Guyot, Adrien, Lagarde, Kevin, Caumon, Elodie, Geeraerts, Thomas, POMMIER, Maxime, NABOULSI, Edouard, BEILVERT, Maxime, PARRY, Elodie, Leone, Marc, Zieleskiewicz, Laurent, Duclos, Gary, Arbelot, Charlotte, Carole, Ichai, Hervé, Quintard, Aminata, Diop, Puybasset, Louis, Torkomian, Gregory, Szczot, Magdalena, Kremer, Stephane, Becker, Guillaume, Hecketsweiler, Stephane, ILIC, Dejan, VETTORETTI, Lucie, Grisotto, Coline, Asmolov, Romain, Ehinger, Vincent, Laquay, Nathalie, Chevallier, Virginie, Mahlal, Zahra, LASOCKI, Sigismond, SCHOLASTIQUE, Anne-Sylvie, GAILLARD, Thomas, GERGAUD, Soizic, BARBIER, Emmanuel, TAHON, Florence, KRAINIK, Alexandre, DOJAT, Michel, TROPRES, Irène, VIGUE, Bernard, LEO, Laura, Piriou, Vincent, Coquerel, Antoine, Cracowski, Jean-Luc, Proust, Francois, Mallaret, Michel, Payen, Jean-François *, Launey, Yoann, Chabanne, Russell, Gay, Samuel, Francony, Gilles, Gergele, Laurent, Vega, Emmanuel, Montcriol, Ambroise, Couret, David, Cottenceau, Vincent, Pili-Floury, Sebastien, Gakuba, Clement, Hammad, Emmanuelle, Audibert, Gerard, Pottecher, Julien, Dahyot-Fizelier, Claire, Abdennour, Lamine, Gauss, Tobias, Richard, Marion, Vilotitch, Antoine, Bosson, Jean-Luc, Bouzat, Pierre
Publikováno v:
In The Lancet Neurology November 2023 22(11):1005-1014
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Gueddouri, Dalale, Caüzac, Michèle, Fauveau, Véronique, Benhamed, Fadila, Charifi, Wafa, Beaudoin, Lucie, Rouland, Matthieu, Sicherre, Florian, Lehuen, Agnès, Postic, Catherine, Boudry, Gaëlle, Burnol, Anne-Françoise, Guilmeau, Sandra
Publikováno v:
In Molecular Metabolism March 2022 57