Found 151 Documents (Results 1–100)
Subconvexity implies effective quantum unique ergodicity for Hecke-Maaß cusp forms on \(\mathrm{SL}_2 (\mathbb{Z})\setminus \mathrm{SL}_2 (\mathbb{R})\). (English) Zbl 07923486
A bound for twists of \(\mathrm{GL}_3 \times \mathrm{GL}_2 L\)-functions with composite modulus. (English) Zbl 07845632
Reviewer: Sami Omar (Sukhair)
A universal lower bound for certain quadratic integrals of automorphic \(L\)-functions. (English) Zbl 07841174
Reviewer: Sami Omar (Sukhair)
Subconvexity for \(L\)-functions on \(\mathrm{GL}_3\) over number fields. (English) Zbl 07834926
Reviewer: Sami Omar (Sukhair)
Zeros of Rankin-Selberg \(L\)-functions in families. (English) Zbl 07831321
Reviewer: Sami Omar (Sukhair)
Hybrid subconvexity bounds for twists of \(\mathrm{GL}(3)\) \(L\)-functions. (English) Zbl 07819759
Reviewer: Sami Omar (Sukhair)
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin \(L\)-functions. (English) Zbl 07807378
Reviewer: Lawrence C. Washington (College Park)
Subconvexity bound for \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) \(L\)-functions: hybrid level aspect. (English) Zbl 07806694
Reviewer: Sami Omar (Sukhair)
\(\mathrm{GL}(2)\) Weyl bound via a multiplicative character delta method. (English) Zbl 07785379
Reviewer: Sami Omar (Sukhair)
Subconvexity of a double Dirichlet series over the Gaussian field. (English) Zbl 1542.11075
Reviewer: Sami Omar (Sukhair)
Hybrid subconvexity bounds for twists of \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) \(L\)-functions. (English) Zbl 07783163
Reviewer: Chuijia Wang (Haifa)
Analytic twists of \(\mathrm{GL}_2 \times \mathrm{GL}_2\) automorphic forms. (English) Zbl 07747117
Reviewer: Sami Omar (Sukhair)
The fourth moment of Dirichlet \(L\)-functions along a coset and the Weyl bound. (English) Zbl 07732798
Reviewer: Sami Omar (Sukhair)
Moments and hybrid subconvexity for symmetric-square \(L\)-functions. (English) Zbl 07727442
Reviewer: Kamel Mazhouda (Monastir)
Strong subconvexity for self-dual \(\mathrm{GL}(3)\) \(L\)-functions. (English) Zbl 1541.11046
Reviewer: Qiao Zhang (Fort Worth)
The Weyl bound for triple product \(L\)-functions. (English) Zbl 1542.11049
Reviewer: Sami Omar (Sukhair)
Algebraic twists of \(\mathrm{GL}_3 \times \mathrm{GL}_2\) \(L\)-functions. (English) Zbl 07682937
Reviewer: Sami Omar (Sukhair)
Simple zeros of \(L\)-functions and the Weyl-type subconvexity. (English) Zbl 1526.11052
Reviewer: Kamel Mazhouda (Monastir)
Hybrid subconvexity and the partition function. (English) Zbl 1506.11072
Reviewer: Sami Omar (Sukhair)
Recent progress on the subconvexity problem. (Progrès récents sur le problème de la sous-convexité.) (English) Zbl 1522.11039
Séminaire Bourbaki. Volume 2021/2022. Exposés 1181–1196. Paris: Société Mathématique de France (SMF). Astérisque 438, 353-401, Exp. No. 1190 (2022).
The prime geodesic theorem for \(\mathrm{PSL}2(\mathbb{Z}[i])\) and spectral exponential sums. (English) Zbl 1512.11065
Reviewer: Shin-ya Koyama (Yokohama)
Subconvexity bounds for twisted \(L\)-functions. II. (English) Zbl 1506.11075
Reviewer: Sami Omar (Sukhair)
Subconvexity of Shintani’s zeta function. (English) Zbl 1507.11081
Reviewer: Wen-Wei Li (Beijing)
Non-linear additive twists of \(\operatorname{GL}(3) \times \operatorname{GL}(2)\) and \(\operatorname{GL}(3)\) Maass forms. (English) Zbl 1506.11076
Reviewer: Rongqing Ye (Louisville)
Prime geodesics and averages of the Zagier \(L\)-series. (English) Zbl 1502.11095
Reviewer: Shin-ya Koyama (Yokohama)
A Bessel \(\delta\)-method and hybrid bounds for \(\mathrm{GL}_2\). (English) Zbl 1496.11072
Reviewer: Sami Omar (Sukhair)
Sub-convexity bound for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions: the depth aspect. (English) Zbl 1494.11047
Reviewer: Sami Omar (Sukhair)
Subconvexity for \(\mathrm{GL} (3) \times \mathrm{GL} (2)\) twists (with an appendix by Will Sawin). (English) Zbl 1496.11073
Reviewer: Sami Omar (Sukhair)
MSC:
11F66
Rankin-Selberg periods for spherical principal series. (English) Zbl 1500.11044
Reviewer: Petar Bakić (Salt Lake City)
Subconvexity for \(\operatorname{GL}(3)\times \operatorname{GL}(2)\) \(L\)-functions in \(t\)-aspect. (English) Zbl 1494.11048
Reviewer: Sami Omar (Sukhair)
MSC:
11F66
Subconvexity for twisted \(\mathrm{GL}_3\) \(L\)-functions. (English) Zbl 1495.11064
Reviewer: Sami Omar (Sukhair)
MSC:
11F66
Hybrid subconvexity bounds for \(L(1/2,\operatorname{sym}^2 f \otimes \chi)\). (English) Zbl 1498.11140
Subconvexity for \(\mathrm{GL}_3(\mathbb{R})L\)-functions: the key identity via integral representations. (English) Zbl 1500.11046
Reviewer: Wen-Wei Li (Beijing)
Subconvexity bound for \(\mathrm{GL} (2)\) \(\mathrm{L}\)-functions: \(t\)-aspect. (English) Zbl 1523.11089
A subconvex bound for twisted \(L\)-functions. (English) Zbl 1486.11070
MSC:
11F66
Twists of \(\mathrm{GL}(3)\) \(L\)-functions. (English) Zbl 1475.11090
Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 351-378 (2021).
Adelic Voronoï summation and subconvexity for \(\mathrm{GL}(2)\) \(L\)-functions in the depth aspect. (English) Zbl 1480.11057
Reviewer: Valentin Blomer (Bonn)
Subconvex bounds for Hecke-Maass forms on compact arithmetic quotients of semisimple Lie groups. (English) Zbl 1477.11104
Reviewer: Shin-ya Koyama (Yokohama)
A new subconvex bound for \(\mathrm{GL}(3)\) \(L\)-functions in the \(t\)-aspect. (English) Zbl 1478.11072
Hybrid subconvexity bounds for twisted \(L\)-functions on \(\mathrm{GL}(3)\). (English) Zbl 1469.11125
An unconditional \(\mathrm{GL}_n\) large sieve. (English) Zbl 1468.11113
Reviewer: Nils Matthes (Oxford)
On the subconvexity problem for \(L\)-functions on \(\mathrm{GL}(3)\). (English) Zbl 1484.11124
Reviewer: Ramdin Mawia (Kolkata)
The Burgess bound via a trivial delta method. (English) Zbl 1469.11123
MSC:
11F66
Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces. II: Newforms and subconvexity. (English) Zbl 1477.11101
Reviewer: Marcela Hanzer (Zagreb)
The Weyl bound for Dirichlet \(L\)-functions of cube-free conductor. (English) Zbl 1460.11111
Reviewer: Anton Deitmar (Tübingen)
Double square moments and subconvexity bounds for Rankin-Selberg \(L\)-functions of holomorphic cusp forms. (English) Zbl 1465.11125
Automorphic \(\mathrm{SL}_2\)-periods and the subconvexity problem for \(\mathrm{GL}_2\times\mathrm{GL}_3\). (English) Zbl 1465.11132
On the universality of the Epstein zeta function. (English) Zbl 1460.11046
Reviewer: Ahmet Tekcan (Bursa)
Motohashi’s fourth moment identity for non-Archimedean test functions and applications. (English) Zbl 1450.11091
Reviewer: Qiao Zhang (Fort Worth)
Epstein zeta-functions, subconvexity, and the purity conjecture. (English) Zbl 1447.11098
Reviewer: Guram Gogishvili (Tbilisi)
Periodic twists of \(\operatorname{GL}_3\)-automorphic forms. (English) Zbl 1473.11096
Reviewer: Valentin Blomer (Bonn)
Subconvexity for \(L\)-functions of non-spherical cusp forms on \(\mathrm{GL}(3)\). (English) Zbl 1477.11090
Reviewer: Didier Lesesvre (Guangzhou)
Weyl bound for GL(2) in \(t\)-aspect via a simple delta method. (English) Zbl 1446.11092
Reviewer: Thomas Oliver (Nottingham)
Explicit subconvexity savings for sup-norms of cusp forms on \(\mathrm{PGL}_n(\mathbb{R})\). (English) Zbl 1453.11076
Subconvexity for twisted \(L\)-functions on \(\operatorname{GL}_3\) over the Gaussian number field. (English) Zbl 1472.11151
Subconvex equidistribution of cusp forms: reduction to Eisenstein observables. (English) Zbl 1428.11093
Reviewer: Ivan Matić (Osijek)
Further improvement on bounds for \(L\)-functions related to \(\mathrm{GL}(3)\). (English) Zbl 1456.11085
Weak subconvexity without a Ramanujan hypothesis. (English) Zbl 1426.11053
Reviewer: D. R. Heath-Brown (Garsington)
Double first moment for \(L(\frac{1}{2}, \operatorname{Sym}^2 f \times g)\) by applying Petersson’s formula twice. (English) Zbl 1458.11077
J. Number Theory 202, 141-159 (2019); corrigendum ibid. 260, 196-197 (2024).
Twisted moments of \(L\)-functions and spectral reciprocity. (English) Zbl 1452.11110
Reviewer: Thomas Oliver (Nottingham)
A note on the least prime that splits completely in a nonabelian Galois number field. (English) Zbl 1448.11204
Reviewer: Władysław Narkiewicz (Wrocław)
Uniform subconvexity and symmetry breaking reciprocity. (English) Zbl 1492.11098
Reviewer: Neven Grbac (Pula)
A note on Burgess bound. (English) Zbl 1475.11091
Akbary, Amir (ed.) et al., Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. Cham: Springer. Springer Proc. Math. Stat. 251, 273-289 (2018).
The subconvexity problem for \(L\)-functions. (English) Zbl 1443.11074
Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 363-376 (2018).
Hybrid level aspect subconvexity for \(\mathrm{GL}(2)\times \mathrm{GL}(1)\) Rankin-Selberg \(L\)-functions. (English) Zbl 1440.11052
Subconvexity for a double Dirichlet series and non-vanishing of \(L\)-functions. (English) Zbl 1462.11069
Reviewer: Zhonghua Li (Shanghai)
Hybrid bounds on twisted \(L\)-functions associated with modular forms. (English) Zbl 1434.11106
MSC:
11F66
Improved subconvexity bounds for \(\mathrm{GL}(2)\times \mathrm{GL}(3)\) and \(\mathrm{GL}(3)\) \(L\)-functions by weighted stationary phase. (English) Zbl 1439.11128
Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets. (English) Zbl 1430.11067
Subconvexity for twisted \(L\)-functions over number fields via shifted convolution sums. (English) Zbl 1399.11117
Triple product formula and the subconvexity bound of triple product \(L\)-function in level aspect. (English) Zbl 1393.11041
Reviewer: Valentin Blomer (Göttingen)
Relative trace formulas and subconvexity estimates for \(L\)-functions of Hilbert modular forms. (English) Zbl 1393.11043
Reviewer: Valentin Blomer (Göttingen)
Geometric invariants for real quadratic fields. (English) Zbl 1372.11056
Reviewer: James E. Carter (Charleston)
Character sums of composite moduli and hybrid subconvexity. (English) Zbl 1355.11086
Jiang, Dihua (ed.) et al., Advances in the theory of automorphic forms and their \(L\)-functions. Workshop in honor of James Cogdell’s 60th birthday, Erwin Schrödinger Institute (ESI), University of Vienna, Vienna, Austria, October 16–25, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1709-3/pbk; 978-1-4704-3005-4/ebook). Contemporary Mathematics 664, 135-148 (2016).
Reviewer: Khristo N. Boyadzhiev (Ada)
MSC:
11M06
Hybrid subconvexity bounds for \(L \left( \frac{1}{2}, \mathrm{Sym}^2 f \otimes g\right) \). (English) Zbl 1408.11045
MSC:
11F66
Subconvexity for half integral weight \(L\)-functions. (English) Zbl 1330.11057
Reviewer: Ahmet Tekcan (Bursa)
\(p\)-adic analytic twists and strong subconvexity. (Twists \(p\)-adiques analytiques et sous-convexité forte.) (English. French summary) Zbl 1401.11095
A twisted Motohashi formula and Weyl-subconvexity for \(L\)-functions of weight two cusp forms. (English) Zbl 1331.11035
Reviewer: J. G. M. Mars (Utrecht)
The circle method and bounds for \(L\)-functions. IV: Subconvexity for twists of \(\mathrm{GL}(3)\) \(L\)-functions. (English) Zbl 1333.11046
Reviewer: Zhengyu Mao (Newark)
MSC:
11F67
The circle method and bounds for \(L\)-functions. III: \(t\)-aspect subconvexity for \(\mathrm{GL}(3)\) \(L\)-functions. (English) Zbl 1354.11036
Reviewer: Stephan Baier (New Delhi)
The circle method and bounds for \(L\)-functions. II: Subconvexity for twists of \(\mathrm{GL}(3)\) \(L\)-functions. (English) Zbl 1344.11042
Reviewer: Valentin Blomer (Göttingen)
On the subconvexity problem for \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) \(L\)-functions. (English) Zbl 1383.11066
Optimality conditions for strong vector equilibrium problems under a weak constraint qualification. (English) Zbl 1304.90214
Twisted Hilbert modular \(L\)-functions and spectral theory. (English) Zbl 1365.11051
Liu, Jianya (ed.), Automorphic forms and \(L\)-functions. Lecture notes from the conference CIMPA-UNESCO-CHINA Research School 2010: Automorphic forms and \(L\)-functions, Weihai, China, August 1–14, 2010. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-296-1/pbk). Advanced Lectures in Mathematics (ALM) 30, 49-67 (2014).
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