Jean-François Burnol

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All published works

Action	Title	Year	Authors
+ PDF Chat	Digamma function and general Fischer series in the theory of Kempner sums	2024	Jean-François Burnol
+ PDF Chat	From counting blocks to the Lebesgue measure, with an application to the Allouche-Hu-Morin limit theorem on block-constrained harmonic series	2024	Jean-François Burnol
+ PDF Chat	Un d\'eveloppement asymptotique des sommes harmoniques de Kempner-Irwin	2024	Jean-François Burnol
+ PDF Chat	Digamma function and general Fischer series in the theory of Kempner sums	2024	Jean-François Burnol
+ PDF Chat	Sur l'asymptotique des sommes de Kempner pour de grandes bases	2024	Jean-François Burnol
+ PDF Chat	Summing the "exactly one 42" and similar subsums of the harmonic series	2024	Jean-François Burnol
+ PDF Chat	Measures for the summation of Irwin series	2024	Jean-François Burnol
+ PDF Chat	Moments in the exact summation of the curious series of Kempner type	2024	Jean-François Burnol
+	Deux extensions de Théorèmes de Hamburger (portant sur l’équation fonctionnelle de la fonction zêta)	2012	Jean-François Burnol
+ PDF Chat	On the System of the Functions $${\smash{\frac{\zeta(s)}{(s-\rho)^k}}}$$	2011	Jean-François Burnol
+	Deux extensions de Th\'eor\`emes de Hamburger	2011	Jean-François Burnol
+	On the system of the functions x (s) / (s-r)k	2011	Jean-François Burnol
+	Paley–Wiener spaces with vanishing conditions and Painlevé VI transcendents	2010	Jean-François Burnol
+	Hilbert spaces of entire functions with trivial zeros	2010	Jean-François Burnol
+	Un déterminant reproduisant	2010	Jean-François Burnol
+	Hilbert spaces of entire functions with trivial zeros	2010	Jean-François Burnol
+	On some bound and scattering states associated with the cosine kernel	2008	Jean-François Burnol
+ PDF Chat	Entrelacement de co-Poisson	2007	Jean-François Burnol
+ PDF Chat	Spacetime Causality in the Study of the Hankel Transform	2006	Jean-François Burnol
+	Scattering, determinants, hyperfunctions in relation to Gamma(1-s)/Gamma(s)	2006	Jean-François Burnol
+	Entrelacement de co-Poisson	2004	Jean-François Burnol
+ PDF Chat	Two complete and minimal systems associated with the zeros of the Riemann zeta function	2004	Jean-François Burnol
+ PDF Chat	Des équations de Dirac et de Schrödinger pour la transformation de Fourier	2003	Jean-François Burnol
+ PDF Chat	Sur les « espaces de Sonine » associés par de Branges à la transformation de Fourier	2002	Jean-François Burnol
+	A Lower Bound in an Approximation Problem Involving the Zeros of the Riemann Zeta Function	2002	Jean-François Burnol
+	Two complete and minimal systems associated with the zeros of the Riemann zeta function	2002	Jean-François Burnol
+	On an analytic estimate in the theory of the Riemann Zeta function and a Theorem of Baez-Duarte	2002	Jean-François Burnol
+ PDF Chat	Sur certains espaces de Hilbert de fonctions entières, liés à la transformation de Fourier et aux fonctions L de Dirichlet et de Riemann	2001	Jean-François Burnol
+ PDF Chat	Quaternionic gamma functions and their logarithmic derivatives as spectral functions	2001	Jean-François Burnol
+ PDF Chat	A note on Nyman’s equivalent formulation of the Riemann hypothesis	2001	Jean-François Burnol
+ PDF Chat	Sur les formules explicites I : analyse invariante	2000	Jean-François Burnol
+	Scattering on the p-adic field and a trace formula	2000	Jean-François Burnol
+	Addendum to "Quaternionic Gamma functions..."	1999	Jean-François Burnol
+	Quaternionic Gamma functions and their logarithmic derivatives as spectral functions	1999	Jean-François Burnol
+	A note on Nyman's equivalent formulation of the Riemann Hypothesis	1999	Jean-François Burnol
+	The Explicit Formula and the conductor operator	1999	Jean-François Burnol
+	Scattering for time series with an application to the zeta function of an algebraic curve	1999	Jean-François Burnol
+	Addendum to "Quaternionic Gamma functions..."	1999	Jean-François Burnol
+	Quaternionic Gamma functions and their logarithmic derivatives as spectral functions	1999	Jean-François Burnol
+	The Explicit Formula and a Propagator	1998	Jean-François Burnol
+	The Explicit Formula in simple terms	1998	Jean-François Burnol
+	Spectral Analysis of the local Conductor Operator	1998	Jean-François Burnol
+	Spectral Analysis of the local Commutator Operators	1998	Jean-François Burnol
+	Weierstrass points on arithmetic surfaces	1992	Jean-François Burnol
+	Lectures on Arakelov Geometry	1992	Christophe Soulé Dan Abramovich Jean-François Burnol J. Kramer
+	The Arithmetic Riemann–Roch–Grothendieck Theorem	1992	Christophe Soulé Dan Abramovich Jean-François Burnol
+	The Determinant of the Cohomology	1992	Christophe Soulé Dan Abramovich Jean-François Burnol
+	The Determinant of Laplace Operators	1992	Christophe Soulé Dan Abramovich Jean-François Burnol
+	Arithmetic Chow Groups	1992	Christophe Soulé Dan Abramovich Jean-François Burnol
+	The Curvature of the Determinant Line Bundle	1992	Christophe Soulé Dan Abramovich Jean-François Burnol
+	None	1992	Jean-François Burnol
+	Analyse, Math Sup & Math Spé	1987	Nicolas Bonnault Jean-François Burnol Philippe Roché Michel Demazure

Common Coauthors

Coauthor	Papers Together
Christophe Soulé	6
Dan Abramovich	6
Nicolas Bonnault	1
Michel Demazure	1
J. Kramer	1
Philippe Roché	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Sur certains espaces de Hilbert de fonctions entières, liés à la transformation de Fourier et aux fonctions L de Dirichlet et de Riemann	2001	Jean-François Burnol	8
+	The Explicit Formula and a Propagator	1998	Jean-François Burnol	6
+ PDF Chat	On Fourier and Zeta(s)	2004	Jean-François Burnol	6
+	Fourier Series and Integrals	1949	Harry Dym H. P. McKean	6
+	An Adelic Causality Problem Related to Abelian L-Functions	2001	Jean-François Burnol	6
+ PDF Chat	Sur les formules explicites I : analyse invariante	2000	Jean-François Burnol	6
+ PDF Chat	Des équations de Dirac et de Schrödinger pour la transformation de Fourier	2003	Jean-François Burnol	6
+	Representation theory and automorphic functions	1969	М. И. Граев Ilya Piatetski-Shapiro I. M. Gel'fand K. A. Hirsch	5
+ PDF Chat	Two complete and minimal systems associated with the zeros of the Riemann zeta function	2004	Jean-François Burnol	5
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	5
+	Banach Spaces of Analytic Functions.	1964	Garrett Johnson Kenneth A. Hoffman	5
+ PDF Chat	Trace formula in noncommutative geometry and the zeros of the Riemann zeta function	1999	Alain Connes	4
+ PDF Chat	Dualizing the Poisson summation formula.	1991	R. J. Duffin Hans F. Weinberger	4
+	Scattering on the p-adic field and a trace formula	2000	Jean-François Burnol	4
+	Sonine spaces of entire functions	1969	James Rovnyak Virginia Rovnyak	4
+	Spectral Analysis of the local Conductor Operator	1998	Jean-François Burnol	4
+	Riesz potentials and explicit sums in arithmetic	1990	Shai Haran	4
+ PDF Chat	Entrelacement de co-Poisson	2007	Jean-François Burnol	4
+ PDF Chat	Spacetime Causality in the Study of the Hankel Transform	2006	Jean-François Burnol	3
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	3
+	Fourier Series and Integrals	1991	Henry Helson	3
+	The Explicit Formula and the conductor operator	1999	Jean-François Burnol	3
+	Fourier Analysis on Groups	2006	Walter Rudin L. Bers R. Courant J. J. Stoker Dagmar Renate Henney	3
+	Hilbert spaces of entire functions	1968	Louis de Branges	3
+	A Class of Invariant Unitary Operators	1999	Luis Báez‐Duarte	3
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss	3
+ PDF Chat	Sur les « espaces de Sonine » associés par de Branges à la transformation de Fourier	2002	Jean-François Burnol	3
+	Fourier analysis in number fields and Hecke's zeta-functions	1967	John Tate	3
+	Notes sur la fonction ζ de Riemann, 4	2003	Michel Balazard Éric Saïas	2
+	Fourier Transforms in the Complex Domain	1934	N. Wiener R. E. A. C. Paley	2
+	The Explicit Formula in simple terms	1998	Jean-François Burnol	2
+	Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent	1980	Michio Jimbo Tetsuji Miwa Yasuko Mōri Mikio Sato	2
+ PDF Chat	On solutions of Riemann’s functional equation	1959	K. Chandrasekharan Szolem Mandelbrojt	2
+ PDF Chat	Representation of Fourier integrals as sums. II	1950	R. J. Duffin	2
+ PDF Chat	Non-archimedean strings and Bruhat-Tits trees	1989	A. Zabrodin	2
+	Distribution of Zeros of Entire Functions	1964	Б. В. Левин	2
+	On dualizing a multivariable Poisson summation formula	1997	R. J. Duffin Hans F. Weinberger	2
+	<i>Theory of Ordinary Differential Equations</i>	1956	Earl A. Coddington Norman Levinson T. Teichmann	2
+	An introduction to de Branges spaces of entire functions with applications to differential equations of the Sturm-Liouville type	1970	Harry Dym	2
+	Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung	1936	E. Hecke	2
+ PDF Chat	A converse theorem for Dirichlet $L$-functions	2010	Jerzy Kaczorowski Giuseppe Molteni Alberto Perelli	2
+ PDF Chat	On two problems concerning linear transformations in hilbert space	1949	Arne Beurling	2
+	The Asymptotics of a Continuous Analogue of Orthogonal Polynomials	1994	Harold Widom	2
+	On Beurling′s Real Variable Reformulation of the Riemann Hypothesis	1993	Luis Báez‐Duarte	2
+ PDF Chat	Bemerkung zu einem Satz von Hamburger �ber die Funktionalgleichung der Riemannschen Zetafunktion	1922	Carl Ludwig Siegel	2
+	THE PROBLEM OF SPECTRAL SYNTHESIS FOR OPERATORS WITH POINT SPECTRUM	1970	A. S. Markus	2
+ PDF Chat	Multiplicity results for the functional equation of the Dirichlet L-functions: case p=2	2010	Giuseppe Molteni	2
+ PDF Chat	Quaternionic gamma functions and their logarithmic derivatives as spectral functions	2001	Jean-François Burnol	2
+	�ber die Riemannsche Funktionalgleichung der ?-Funktion	1922	Hans Hamburger	2
+	A Conjecture which Implies the Riemann Hypothesis	1994	L. Debranges	2