Philippe Michel

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Relative Trace Formula And Simultaneous Nonvanishing for GL_3 x GL_2 and GL_3 x GL_1 L-functions	2024	Philippe Michel Dinakar Ramakrishnan Liyang Yang
+ PDF Chat	Toroidal families and averages of L-functions, I	2024	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+ PDF	The unipotent mixing conjecture	2023	Valentin Blomer Philippe Michel
+	On algebraic twists with composite moduli	2023	Yongxiao Lin Philippe Michel
+ PDF Chat	Rankin-Selberg coefficients in large arithmetic progressions	2023	Emmanuel Kowalski Yongxiao Lin Philippe Michel
+	Exposé Bourbaki 1190 : Recent progress on the subconvexity problem	2023	Philippe Michel
+	Algebraic twists of GL3 × GL2 L-functions	2023	Yongxiao Lin Philippe Michel Will Sawin
+	The Second Moment Theory of Families of 𝐿-Functions–The Case of Twisted Hecke 𝐿-Functions	2023	Valentin Blomer Étienne Fouvry Emmanuel Kowalski Philippe Michel Djordje Milićević Will Sawin
+	Toroidal families and averages of L-functions, I	2023	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	Rankin-Selberg coefficients in large arithmetic progressions	2023	Emmanuel Kowalski Yongxiao Lin Philippe Michel
+	On algebraic twists with composite moduli	2023	Yongxiao Lin Philippe Michel
+	The unipotent mixing conjecture	2023	Valentin Blomer Philippe Michel
+	Bessel Periods on $U(2,1) \times U(1,1)$, Relative Trace Formula and Non-Vanishing of Central L-values	2023	Philippe Michel Dinakar Ramakrishnan Liyang Yang
+ PDF Chat	Simultaneous supersingular reductions of CM elliptic curves	2022	Menny Aka Manuel Luethi Philippe Michel Andreas Wieser
+	The subconvexity problem for Rankin-Selberg and triple product L-functions	2022	Yueke Hu Philippe Michel Paul D. Nelson
+	Automorphic Forms and Arithmetic	2021	Valentin Blomer Emmanuel Kowalski Philippe Michel Maryna Viazovska
+ PDF	On the conductor of cohomological transforms	2021	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	Some recents advances on Duke’s equidistribution theorems	2021	Philippe Michel
+ PDF	PERIODIC TWISTS OF -AUTOMORPHIC FORMS	2020	Emmanuel Kowalski Yongxiao Lin Philippe Michel Will Sawin
+	Simultaneous supersingular reductions of CM elliptic curves	2020	Menny Aka Manuel Luethi Philippe Michel Andreas Wieser
+ PDF Chat	Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums	2019	Emmanuel Kowalski Philippe Michel Will Sawin
+	Periodic twists of $GL_3$-modular forms	2019	Emmanuel Kowalski Yongxiao Lin Philippe Michel Will Sawin
+	Periodic twists of $GL_3$-automorphic forms	2019	Emmanuel Kowalski Yongxiao Lin Philippe Michel Will Sawin
+ PDF Chat	Lectures on applied ℓ-adic cohomology	2019	Étienne Fouvry Emmanuel Kowalski Philippe Michel Will Sawin
+	Algebraic twists of $\mathrm{GL}_3\times \mathrm{GL}_2$ $L$-functions	2019	Yongxiao Lin Philippe Michel Will Sawin
+	Periodic twists of $GL_3$-automorphic forms	2019	Emmanuel Kowalski Yongxiao Lin Philippe Michel Will Sawin
+	Automorphic Forms and Arithmetic	2018	Valentin Blomer Emmanuel Kowalski Philippe Michel
+	The second moment theory of families of L-functions	2018	Valentin Blomer Étienne Fouvry Emmanuel Kowalski Philippe Michel Djordje Milićević Will Sawin
+	The second moment theory of families of L-functions	2018	Valentin Blomer Étienne Fouvry Emmanuel Kowalski Philippe Michel Djordje Milićević Will Sawin
+ PDF	Bilinear forms with Kloosterman sums and applications	2017	Emmanuel Kowalski Philippe Michel Will Sawin
+ PDF Chat	Some applications of smooth bilinear forms with Kloosterman sums	2017	Valentin Blomer Étienne Fouvry Emmanuel Kowalski Philippe Michel Djordje Milićević
+ PDF	On short sums of trace functions	2017	Étienne Fouvry Emmanuel Kowalski Philippe Michel Chandra Sekhar Raju Joël Rivat K. Soundararajan
+ PDF Chat	On moments of twisted L-functions	2017	Valentin Blomer Étienne Fouvry Emmanuel Kowalski Philippe Michel Djordje Milićević
+	Large Sieve Inequalities for Algebraic Trace Functions	2016	Ping Xi Emmanuel Kowalski Philippe Michel
+	Soutenons la Quadrature du Net	2015	Philippe Michel
+ PDF	A study in sums of products	2015	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+ PDF	Algebraic twists of modular forms and Hecke orbits	2015	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+ PDF	Trace functions over finite fields and their applications	2015	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+ PDF	New equidistribution estimates of Zhang type	2014	Wouter Castryck Étienne Fouvry Gergely Harcos Emmanuel Kowalski Philippe Michel Paul D. Nelson E. Paldi J. Pintz Andrew V. Sutherland Terence Tao
+ PDF	Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions	2014	Étienne Fouvry Satadal Ganguly Emmanuel Kowalski Philippe Michel
+ PDF Chat	Algebraic trace functions over the primes	2014	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+ PDF Chat	ON THE EXPONENT OF DISTRIBUTION OF THE TERNARY DIVISOR FUNCTION	2014	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	On the conductor of cohomological transforms	2013	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+ PDF	An inverse theorem for Gowers norms of trace functions over F<sub><i>p</i></sub>	2013	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions	2013	Étienne Fouvry Satadal Ganguly Emmanuel Kowalski Philippe Michel
+ PDF	Counting sheaves using spherical codes	2013	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions	2013	Étienne Fouvry Satadal Ganguly Emmanuel Kowalski Philippe Michel
+	On the conductor of cohomological transforms	2013	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+ PDF	The distribution of closed geodesics on the modular surface, and Duke's theorem	2012	Manfred Einsiedler Elon Lindenstrauss Philippe Michel Akshay Venkatesh
+ PDF Chat	Hybrid bounds for automorphic forms on ellipsoids over number fields	2012	Valentin Blomer Philippe Michel
+	Counting sheaves using spherical codes	2012	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	Algebraic twists of modular forms and Hecke orbits	2012	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	The Analytic Theory of Automorphic Forms	2012	Valentin Blomer Philippe Michel S. J. Patterson
+	An inverse theorem for Gowers norms of trace functions over prime fields	2012	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	Counting sheaves using spherical codes	2012	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	Algebraic twists of modular forms and Hecke orbits	2012	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	Consequences of the Gross–Zagier formulae: Stability of average L-values, subconvexity, and non-vanishing mod p	2011	Philippe Michel Dinakar Ramakrishnan
+	The distribution of closed geodesics on the modular surface, and Duke's theorem	2011	Manfred Einsiedler Elon Lindenstrauss Philippe Michel Akshay Venkatesh
+ PDF	Distribution of periodic torus orbits and Duke's theorem for cubic fields	2011	Manfred Einsiedler Elon Lindenstrauss Philippe Michel Akshay Venkatesh
+ PDF	Sup-norms of Eigenfunctions on Arithmetic Ellipsoids	2011	Valentin Blomer Philippe Michel
+	The distribution of closed geodesics on the modular surface, and Duke's theorem	2011	Manfred Einsiedler Elon Lindenstrauss Philippe Michel Akshay Venkatesh
+ PDF	Multiscale Modeling of Follicular Ovulation as a Mass and Maturity Dynamical System	2011	Philippe Michel
+ PDF Chat	The subconvexity problem for GL2	2010	Philippe Michel Akshay Venkatesh
+	Linnik's ergodic method and the distribution of integer points on spheres	2010	Jordan S. Ellenberg Philippe Michel Akshay Venkatesh
+ PDF	Some effective results for ×<i>a</i>×<i>b</i>	2009	Jean Bourgain Elon Lindenstrauss Philippe Michel Akshay Venkatesh
+ PDF Chat	Distribution of periodic torus orbits on homogeneous spaces	2009	Manfred Einsiedler Elon Lindenstrauss Philippe Michel Akshay Venkatesh
+ PDF	Bounds for modular L-functions in the level aspect☆	2007	Valentin Blomer Gergely Harcos Philippe Michel
+ PDF	Equidistribution, <em>L</em>-functions and ergodic theory: on some problems of Yu. Linnik	2007	Philippe Michel Akshay Venkatesh
+	Analytic Number Theory and Families of Automorphic 𝐿-functions	2007	Philippe Michel
+ PDF	Sur le changement de signe des sommes de Kloosterman	2007	Étienne Fouvry Philippe Michel
+ PDF	A Burgess-like subconvex bound for twisted L-functions	2007	Valentin Blomer Gergely Harcos Philippe Michel Zhengyu Mao
+ PDF Chat	Spinor L-functions, theta correspondence, and Bessel coefficients	2007	Ramin Takloo-Bighash Philippe Michel
+	Analytic number theory and families of automorphic L-functions	2007	Philippe Michel
+	Heegner points and non-vanishing of Rankin/Selberg L-functions	2007	Philippe Michel Akshay Venkatesh
+	Consequences of the Gross/Zagier formulae: Stability of average L-values, subconvexity, and non-vanishing mod p	2007	Philippe Michel Dinakar Ramakrishnan
+	Some recent applications of Kloostermania	2006	Philippe Michel
+	Some recent applications of Kloostermania	2006	Philippe Michel
+	SOME APPLICATIONS OF KLOOSTERMANIA(Automorphic Forms and Automorphic L-Functions)	2006	Philippe Michel
+	Rythme circadien et croissance tumorale	2006	Jean Clairambault Philippe Michel Benoı̂t Perthame
+	The distribution of periodic torus orbits on homogeneous spaces	2006	Manfred Einsiedler Elon Lindenstrauss Philippe Michel Akshay Venkatesh
+	Equidistribution, L-functions and Ergodic Theory: on some problems of Y.V Linnik	2006	Philippe Michel Akshay Venkatesh
+ PDF	The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points. II	2005	Gergely Harcos Philippe Michel
+	Some specimens of L-functions	2005	Philippe Michel
+ PDF	On the pseudorandomness of the signs of Kloosterman sums	2004	Étienne Fouvry Philippe Michel Joël Rivat Andràs Sárközy
+ PDF	The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points	2004	Philippe Michel
+ PDF	None	2004	James Cogdell Philippe Michel
+	On the Liapunov Second Method for Difference Equations	2004	Joël Blot Philippe Michel
+	On the Liapunov Second Method foe difference equations	2004	Joël Blot Philippe Michel
+ PDF	Sommes de modules de sommes d’exponentielles	2003	Étienne Fouvry Philippe Michel
+	Asymptotic sieve and Kloosterman sums. (Crible asymptotique et sommes de Kloosterman.)	2003	Étienne Fouvry Philippe Michel
+ PDF	Familles de fonctions $L$ de formes automorphes et applications	2003	Philippe Michel
+ PDF	Zeros of families of automorphic L-functions close to 1	2002	Emmanuel Kowalski Philippe Michel
+ PDF	Rankin-Selberg L-functions in the level aspect	2002	Emmanuel Kowalski Philippe Michel Jeffrey M. VanderKam
+ PDF	None	2002	Philippe Michel Jeffrey M. VanderKam Philippe Michel
+ PDF	None	2002	Philippe Michel Akshay Venkatesh
+	Random Matrix Theory and the distribution of zeros of $L$-functions. (Répartition des zéros des fonctions $L$ et matrices aléatoires.)	2002	Philippe Michel
+ PDF	À la recherche de petites sommes d'exponentielles	2002	Étienne Fouvry Philippe Michel
+	The second moment of the symmetric square $L$-functions	2001	Henryk Iwaniec Philippe Michel
+	Deux théorèmes de non-annulation de valeurs spéciales de fonctions L	2001	Emmanuel Kowalski Philippe Michel
+	On the Value-Function of an Infinite-Horizon Linear-Quadratic Problem	2001	Joël Blot Philippe Michel
+	Répartition des zéros des fonctions $L$ et matrices aléatoires	2001	Philippe Michel
+	Appendice de "Sur la nature non-cyclotomique des points d"ordre fini des courbes elliptiques" par L. Merel	2001	Philippe Michel Emmanuel Kowalski
+ PDF	Explicit upper bound for the (analytic) rank of J0(q)	2000	Emmanuel Kowalski Philippe Michel
+ PDF	Mollification of the fourth moment of automorphic L-functions and arithmetic applications	2000	Emmanuel Kowalski Philippe Michel Jeffrey M. VanderKam
+	Approximation simultanée de réels par des nombres rationnels et noyau de collision de l'équation de Boltzmann	2000	Philippe Michel Jacques Schneider
+ PDF	Exponential decay in the frequency of analytic ranks of automorphic L-functions	2000	D. R. Heath‐Brown Philippe Michel
+	Non-Vanishing of High Derivatives of Dirichlet L-Functions at the Central Point	2000	Philippe Michel Jeffrey M. VanderKam
+ PDF	Non-vanishing of high derivatives of automorphic L-functions at the center of the critical strip	2000	Emmanuel Kowalski Philippe Michel Jeffrey M. VanderKam
+ PDF	A lower bound for the rank of $J_0(q)$	2000	Emmanuel Kowalski Philippe Michel
+	The analytic rank of J0(q) and zeros of automorphic L-functions	1999	Emmanuel Kowalski Philippe Michel
+	Sur les zéros de fonctions L sur les corps de fonctions	1999	Philippe Michel
+	Minorations de sommes d’exponentielles	1998	Philippe Michel
+ PDF	Autour de la conjecture de Sato-Tate pour les sommes de Kloosterman, II	1998	Philippe Michel
+	Points de petite hauteur sur les courbes modulaires X 0 ( N )	1998	Philippe Michel Emmanuel Ullmo
+	Explicit upper bound for the rank of J_0(q)	1998	Emmanuel Kowalski Philippe Michel
+ PDF	Sur certaines sommes d'exponentielles sur les nombres premiers	1998	Étienne Fouvry Philippe Michel
+	Recent progress of the sieve and applications [after Duke, Fouvry, Friedlander, Iwaniec]. (Progrès récents du crible et applications[d"après Duke, Fouvry, Friedlander, Iwaniec].)	1998	Philippe Michel
+	On some exponential sums over primes. (Sur certaines sommes d'exponentielles sur les nombres premiers.)	1998	Étienne Fouvry Philippe Michel
+	Sur le rang de J_0(q)	1997	Emmanuel Kowalski Philippe Michel
+	Sur les zeros des fonctions L automorphes	1997	Emmanuel Kowalski Philippe Michel
+	Sur le rang de J_0(q)	1997	Emmanuel Kowalski Philippe Michel
+	The rank of families of abelian varieties. (Le rang de familles de variétés abéliennes.)	1997	Philippe Michel
+	Croissance optimale et cycles dans le modèle à générations imbriquées: Un exemple	1996	Philippe Michel Alain Venditti
+	Croissance optimale et cycles dans le modèle à générations imbriquées : un exemple.	1996	Alain Venditti Philippe Michel
+	First-order necessary conditions for infinite-horizon variational problems	1996	Joël Blot Philippe Michel
+	Autour de la conjecture de Sato-Tate pour les sommes de Kloosterman I	1995	Philippe Michel
+	Rang moyen de familles de courbes elliptiques et lois de Sato-Tate	1995	Philippe Michel
+	Autour des conjectures de sato-tate	1995	Philippe Michel
+ PDF	A generalized derivative for calm and stable functions	1992	Philippe Michel Jean Paul Penot H. Brézis
+	Synthesis of approximation errors	1977	E.H. Bareiss Philippe Michel

Common Coauthors

Coauthor	Papers Together
Emmanuel Kowalski	52
Étienne Fouvry	35
Valentin Blomer	14
Will Sawin	12
Yongxiao Lin	10
Akshay Venkatesh	9
Elon Lindenstrauss	7
Manfred Einsiedler	6
Djordje Milićević	5
Jeffrey M. VanderKam	5
Gergely Harcos	4
Joël Blot	4
Dinakar Ramakrishnan	4
Akshay Venkatesh	4
Satadal Ganguly	3
Andreas Wieser	2
Paul D. Nelson	2
Manuel Luethi	2
Menny Aka	2
Alain Venditti	2
Joël Rivat	2
Liyang Yang	2
H. Brézis	1
Wouter Castryck	1
E. Paldi	1
Benoı̂t Perthame	1
E.H. Bareiss	1
Henryk Iwaniec	1
Chandra Sekhar Raju	1
Terence Tao	1
K. Soundararajan	1
Jean Bourgain	1
Emmanuel Ullmo	1
Jordan S. Ellenberg	1
Ramin Takloo-Bighash	1
Xiao-Feng Xie	1
Maryna Viazovska	1
Jean Clairambault	1
D. R. Heath‐Brown	1
Jacques Schneider	1
Zhengyu Mao	1
Andrew V. Sutherland	1
J. Pintz	1
Ping Xi	1
S. J. Patterson	1
Yueke Hu	1
Jean Paul Penot	1
Andràs Sárközy	1
James Cogdell	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Bounds for automorphicL-functions	1993	William Duke John Friedlander Henryk Iwaniec	25
+	Gauss sums, Kloosterman sums, and monodromy groups	1987	Nicholas M. Katz	24
+	La conjecture de Weil. I	1974	Pierre Deligne	23
+	Topics in Classical Automorphic Forms	1997	Henryk Iwaniec	21
+ PDF Chat	Algebraic trace functions over the primes	2014	Étienne Fouvry Emmanuel Kowalski Philippe Michel	18
+	Kloosterman sums and Fourier coefficients of cusp forms	1982	Jean-Marc Deshouillérs Henryk Iwaniec	18
+ PDF	Algebraic twists of modular forms and Hecke orbits	2015	Étienne Fouvry Emmanuel Kowalski Philippe Michel	16
+	The analytic rank of J0(q) and zeros of automorphic L-functions	1999	Emmanuel Kowalski Philippe Michel	16
+ PDF	Rankin-Selberg L-functions in the level aspect	2002	Emmanuel Kowalski Philippe Michel Jeffrey M. VanderKam	16
+	Bounds for automorphic L-functions. III	2001	William Duke John Friedlander Henryk Iwaniec	16
+	Hyperbolic distribution problems and half-integral weight Maass forms	1988	William Duke	16
+ PDF Chat	The Cubic Moment of Central Values of Automorphic L-Functions	2000	J. Brian Conrey Henryk Iwaniec	16
+	Incomplete Kloosterman Sums and a Divisor Problem	1985	John Friedlander Henryk Iwaniec	15
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	14
+	La Conjecture de Weil. II	1980	Pierre Deligne	14
+	Analytic Number Theory	2004	Emmanuel Kowalski Henryk Iwaniec	14
+	Fourier coefficients of modular forms of half-integral weight	1987	Henryk Iwaniec	14
+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim	13
+	The non-vanishing of central values of automorphic L-functions and Landau-Siegel zeros	2000	Henryk Iwaniec Peter Sarnak	13
+ PDF	The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points. II	2005	Gergely Harcos Philippe Michel	12
+	Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)	1988	Nicholas M. Katz	12
+ PDF Chat	ON THE EXPONENT OF DISTRIBUTION OF THE TERNARY DIVISOR FUNCTION	2014	Étienne Fouvry Emmanuel Kowalski Philippe Michel	12
+	Heegner points and derivatives ofL-series	1986	Benedict H. Gross Don Zagier	11
+	The subconvexity problem for Artin L -functions	2002	William Duke John Friedlander H. Iwaniec	11
+ PDF Chat	Low lying zeros of families of L-functions	2000	Henryk Iwaniec Wenzhi Luo Peter Sarnak	11
+	A quadratic divisor problem	1994	William Duke John Friedlander Henryk Iwaniec	11
+ PDF	Sparse equidistribution problems, period bounds and subconvexity	2010	Akshay Venkatesh	11
+	Perspectives on the Analytic Theory of L-Functions	2000	Henryk Iwaniec Peter Sarnak	11
+	On Character Sums and <i>L</i> -Series. II	1963	D. A. Burgess	11
+	Bounds for automorphicL-functions. II	1994	William Duke John Friedlander Henryk Iwaniec	10
+	Coefficients of Maass Forms and the Siegel Zero	1994	Jeffrey Hoffstein Paul Lockhart	10
+ PDF	The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points	2004	Philippe Michel	9
+ PDF	Uniform distribution of Heegner points	2002	Vinayak Vatsal	9
+ PDF	Transformation De Fourier Constantes D’Équations Fonctionnelles Et Conjecture De Weil	1987	Gérard Laumon	9
+ PDF	Mollification of the fourth moment of automorphic L-functions and arithmetic applications	2000	Emmanuel Kowalski Philippe Michel Jeffrey M. VanderKam	9
+ PDF	A lower bound for the rank of $J_0(q)$	2000	Emmanuel Kowalski Philippe Michel	9
+	Autour de la conjecture de Sato-Tate pour les sommes de Kloosterman I	1995	Philippe Michel	9
+	Sur les coefficients de Fourier des formes modulaires de poids demi-entier	1981	J. L. Waldspurger	8
+	Table of Integrals, Series, and Products	1980		8
+	Cuspidality of symmetric powers with applications	2002	Henry H. Kim Freydoon Shahidi	8
+ PDF	The divisor function $d_3(n)$ in arithmetic progressions	1986	D. R. Heath‐Brown	8
+	A trace formula for the scalar product of Hecke series and its applications	1998	В. А. Быковский	8
+	Estimates for Rankin–Selberg L-Functions and Quantum Unique Ergodicity	2001	Peter Sarnak	8
+	Introduction to the spectral theory of automorphic forms	1995	Henryk Iwaniec	8
+	Sur les valeurs de certaines fonctions $L$ automorphes en leur centre de symétrie	1985	J. L. Waldspurger	8
+ PDF Chat	Distribution of periodic torus orbits on homogeneous spaces	2009	Manfred Einsiedler Elon Lindenstrauss Philippe Michel Akshay Venkatesh	7
+ PDF	Cohomologie Etale	1977	Pierre Deligne	7
+	Rankin-Selberg Convolutions	1983	H. Jacquet I. I. Piatetskii-Shapiro J. A. Shalika	7
+ PDF	Counting sheaves using spherical codes	2013	Étienne Fouvry Emmanuel Kowalski Philippe Michel	7
+	Mazur’s conjecture on higher Heegner points	2002	Christophe Cornut	7