Found 56 Documents (Results 1–56)
Families of Siegel modular forms, \(L\)-functions and modularity lifting conjectures. (English) Zbl 1277.11047
A general Voronoi summation formula for \(\mathrm{GL}(n, \mathbb Z)\). (English) Zbl 1283.11075
Ji, Lizhen (ed.), Geometry and analysis, No. 2. Collected papers of the conference “Geometric analysis: Present and future” on the occasion of Shing-Tung Yau’s 60th birthday, Harvard University, Cambridge, MA, USA, August 27–September 1, 2008. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-225-1/pbk). Advanced Lectures in Mathematics (ALM) 18, 173-224 (2011).
Reviewer: Qiao Zhang (Fort Worth)
Sharing and \(_{(t)}L^*-(p,q)\)th order of meromorphic and entire functions. (English) Zbl 1246.30061
Zeta phenomenology. (English) Zbl 1270.11094
Consani, Caterina (ed.) et al., Noncommutative geometry, arithmetic, and related topics. Proceedings of the 21st meeting of the Japan-U.S. Mathematics Institute (JAMI) held at Johns Hopkins University, Baltimore, MD, USA, March 23–26, 2009. Baltimore, MD: Johns Hopkins University Press (ISBN 978-1-4214-0352-6/hbk). 159-182 (2011).
Reviewer: Andrzej Dąbrowski (Szczecin)
Dedekind sums involving Jacobi modular forms and special values of Barnes zeta functions. (Sommes de Dedekind liées aux formes modulaires de Jacobi et aux valeurs spéciales des fonctions zêta de Barnes.) (English. French summary) Zbl 1279.11044
Interpolating coefficient systems and \(p\)-ordinary cohomology of arithmetic groups. (English) Zbl 1238.11062
Reviewer: Stefan Kühnlein (Karlsruhe)
Plus/minus \(p\)-adic \(L\)-functions for Hilbert modular forms. (English) Zbl 1302.11088
Reviewer: Andrzej Dąbrowski (Szczecin)
A \(p\)-adic view of multiple sums of powers. (English) Zbl 1256.11065
Reviewer: Mehmet Cenkci (Antalya)
The sixth moment of the family of \(\Gamma_1(q)\)-automorphic \(L\)-functions. (English) Zbl 1312.11036
An introduction to the equivariant Tamagawa number conjecture: the relation to Stark’s conjecture. (English) Zbl 1282.11148
Popescu, Cristian (ed.) et al., Arithmetic of \(L\)-functions. Lecture notes from the IAS/Park City Mathematics Institute (PCMI) graduate summer school, Park City, UT, USA, 2009. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study. (ISBN 978-0-8218-5320-7/hbk). IAS/Park City Mathematics Series 18, 125-152 (2011).
Reviewer: Andreas Nickel (Bielefeld)
Robin’s theorem, primes, and a new elementary reformulation of the Riemann hypothesis. (English) Zbl 1235.11082
Reviewer: Jürgen Spilker (Freiburg i. Br.)
A generalization of Greenberg’s \(\mathcal L\)-invariant. (English) Zbl 1307.11079
Reviewer: Andrzej Dąbrowski (Szczecin)
On the distribution of extreme values of zeta and \(L\)-functions in the strip \(\frac{1}{2} < \sigma < 1\). (English) Zbl 1264.11075
Reviewer: Sheldon T. Joyner (Boston)
MSC:
11M06
Periods of Eisenstein series and some applications. (English) Zbl 1272.11067
Reviewer: Noburo Ishii (Kyoto)
Notes on the arithmetic of Hilbert modular forms. (English) Zbl 1272.11069
Reviewer: Neven Grbac (Rijeka)
Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic. (English) Zbl 1315.11066
Quantum unique ergodicity and number theory. (English) Zbl 1253.11062
Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-32-8/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 357-382 (2011).
Reviewer: Laurent Guillopé (Nantes)
Doubly invariant submodules in \(L^{\alpha }\)-spaces. (English) Zbl 1242.47007
Reviewer: Eva Perreiter (München)
Bounds for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions and \(\mathrm{GL}(3)\) \(L\)-functions. (English) Zbl 1320.11046
Nonvanishing of Hecke \(L\)-functions for CM fields and ranks of Abelian varieties. (English) Zbl 1278.11057
Nonvanishing of the family of \(\Gamma_1(q)\)-automorphic \(L\)-functions at the central point. (English) Zbl 1235.11043
Reviewer: Yilmaz Simsek (Antalya)
Computing with Hecke Grössencharacters. (English) Zbl 1280.11071
Actes de la conférence “Théorie des nombres et applications”. Besançon: Presses Universitaires de Franche-Comté. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2011, 119-135 (2011).
A Böcherer-type conjecture for paramodular forms. (English) Zbl 1233.11051
Reviewer: Günter Köhler (Würzburg)
Semi-regular continued fractions and an exact formula for the moments of the Minkowski question mark function. (English) Zbl 1231.11008
Reviewer: Tobias Mühlenbruch (Hagen)
On absolute CM-periods. (English. Japanese original) Zbl 1305.11055
Sugaku Expo. 24, No. 1, 53-72 (2011); translation from Sūgaku 59, No. 4, 380-398 (2007).
On Selberg’s small eigenvalue conjecture and residual eigenvalues. (English) Zbl 1237.11024
Reviewer: B. Z. Moroz (Bonn)
On quadratic families of CM elliptic curves. (English) Zbl 1273.11085
Reviewer: Jeanine Van Order (Jerusalem)
Equivariant holomorphic differential operators and finite averages of values of \(L\)-functions. (English) Zbl 1262.11062
Reviewer: B. Z. Moroz (Bonn)
Noncommutative geometry and physics: Renormalisation, motives, index theory. Based on the workshop “Number theory and physics”, Vienna, Austria, March 2009. Edited with the assistance of Harald Grosse and Steve Rosenberg. (English) Zbl 1217.00020
ESI Lectures in Mathematics and Physics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-008-1/pbk). vii, 273 p. (2011).
On the equivariant Tamagawa number conjecture in tame CM-extensions. (English) Zbl 1222.11133
Reviewer: Cornelius Greither (Neubiberg)
A note on special values of certain Dirichlet \(L\)-functions. (English) Zbl 1216.11076
Reviewer: Florin Nicolae (Berlin)
Determination of \(\text{GL}(3)\) cusp forms by central values of \(\text{GL}(3)\times \text{GL}(2)\, L\)-functions, level aspect. (English) Zbl 1272.11068
Some Siegel modular standard \(L\)-values, and Shafarevich-Tate groups. (English) Zbl 1254.11046
Reviewer: Nathan Ryan (Lewisburg)
Steinberg representation of \(\mathrm{GSp}(4)\): Bessel models and integral representation of \(L\)-functions. (English) Zbl 1264.11038
Reviewer: Yuval Z. Flicker (Columbus)
Overconvergent modular symbols and \(p\)-adic \(L\)-functions. (English) Zbl 1268.11075
Reviewer: Byoung Du Kim (Wellington)
Power series expansions of modular forms and their interpolation properties. (English) Zbl 1243.11062
Values of symmetric cube \(L\)-functions and Fourier coefficients of Siegel Eisenstein series of degree-3. (English) Zbl 1231.11051
Reviewer: Florin Nicolae (Berlin)
Certain values of Hecke \(L\)-functions and generalized hypergeometric functions. (English) Zbl 1261.19004
Reviewer: Feng-Wen An (Hubei)
On central critical values of the degree four \(L\)-functions for \(\mathrm{GSp}(4)\): the fundamental lemma. II. (English) Zbl 1314.11033
A non-abelian Stickelberger theorem. (English) Zbl 1222.11130
Reviewer: Andreas Nickel (Regensburg)
On mean values and non-vanishing of derivatives of \(L\)-functions in a nonlinear family. (English) Zbl 1221.11126
Reviewer: B. Z. Moroz (Bonn)
Simultaneous nonvanishing of automorphic \(L\)-functions at the central point. (English) Zbl 1230.11062
Reviewer: Florin Nicolae (Berlin)
Transcendental nature of special values of \(L\)-functions. (English) Zbl 1218.11070
Reviewer: Michel Waldschmidt (Paris)
Nonvanishing of Hecke \(L\)-functions and the Bloch-Kato conjecture. (English) Zbl 1235.11048
Reviewer: Thong Nguyen Quang Do (Besançon)
Generalized Bernstein-Reznikov integrals. (English) Zbl 1207.42021
Reviewer: Marcel G. de Bruin (Haarlem)
2-adic and 3-adic part of class numbers and properties of central values of \(L\)-functions. (English) Zbl 1254.11099
Trace formulas and nonvanishing of automorphic \(L\)-functions at level \(\mathfrak p^\nu\). (Formules de trace et non-annulation de fonctions \(L\) automorphes au niveau \(\mathfrak p^\nu\).) (English) Zbl 1219.11074
Reviewer: Andrzej Dąbrowski (Szczecin)
On The Properties Of \(q\)-Bernstein-Type Polynomials. arXiv:1111.4849
Preprint, arXiv:1111.4849 [math.NT] (2011).
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