Found 135 Documents (Results 1–100)
On partial differential operators which annihilate the roots of the universal equation of degree \(k\). (English) Zbl 07850681
A Ramanujan bound for Drinfeld modular forms. arXiv:2407.04554
Preprint, arXiv:2407.04554 [math.NT] (2024).
Continuous Sobolev functions with singularity on arbitrary real-analytic sets. arXiv:2406.04544
Preprint, arXiv:2406.04544 [math.AP] (2024).
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators. (English) Zbl 1537.81093
The Sato-Tate conjecture and Nagao’s conjecture. (English) Zbl 1529.11077
Reviewer: Stefan Kühnlein (Karlsruhe)
Möbius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture over function fields. (English) Zbl 1503.11077
Reviewer: B. Z. Moroz (Bonn)
Bounds for canonical Green’s functions at cusps. arXiv:2210.04452
Preprint, arXiv:2210.04452 [math.NT] (2022).
Weil representation and arithmetic fundamental lemma. (English) Zbl 1486.11059
Reviewer: Zhengyu Mao (Newark)
Semi-stable models of modular curves \(X_0(p^2)\) and some arithmetic applications. (English) Zbl 1471.11174
On Sobolev spaces of bounded subanalytic manifolds. arXiv:2111.12338
Preprint, arXiv:2111.12338 [math.AP] (2021).
Riemann-Roch isometries in the non-compact orbifold setting. (English) Zbl 1470.14021
Reviewer: Laurent Guillopé (Nantes)
On mean values of multivariable complex valued multiplicative functions and applications. (English) Zbl 1471.11250
Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 23-64 (2020).
Reviewer: B. Z. Moroz (Bonn)
Arithmetic diagonal cycles on unitary Shimura varieties. (English) Zbl 1456.14031
Reviewer: Riccardo Pengo (Lyon)
Arakelov self-intersection numbers of minimal regular models of modular curves \(X_0(p^2)\). (English) Zbl 1457.14060
Lectures on applied \(\ell\)-adic cohomology. (English) Zbl 1450.11038
Bucur, Alina (ed.) et al., Analytic methods in arithmetic geometry. Arizona winter school 2016, the University of Arizona, Tucson, AZ, USA, March 12–16, 2016. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM). Contemp. Math. 740, 113-195 (2019).
Reviewer: Fangzhou Jin (Essen)
Higher moments of arithmetic functions in short intervals: a geometric perspective. (English) Zbl 1472.11255
The distribution of the trace in the compact group of type \(\mathbf{G}_2\). (English) Zbl 1443.11158
Aubry, Yves (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 722, 79-103 (2019).
Distribution questions for trace functions with values in cyclotomic integers and their reductions. (English) Zbl 1444.11162
Periods, cycles, and \(L\)-functions: a relative trace formula approach. (English) Zbl 1443.11078
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). 487-521 (2018).
Trace of abelian varieties over function fields and the geometric Bogomolov conjecture. (English) Zbl 1444.11144
Reviewer: Noriko Yui (Kingston)
Elliptic curve variants of the least quadratic nonresidue problem and Linnik’s theorem. (English) Zbl 1428.11106
A trace formula for the distribution of rational \(G\)-orbits in ramified covers, adapted to representation stability. (English) Zbl 1429.11114
Trace formula for rings of Witt vectors. (Formule de trace pour les anneaux vectoriels de Witt.) (English. French summary) Zbl 1373.13023
Reviewer: Paweł Gładki (Katowice)
Nonvanishing of central values of \(L\)-functions of newforms in \(S_2 (\Gamma_0 (dp^2))\) twisted by quadratic characters. (English) Zbl 1376.11039
Reviewer: Anatoly N. Kochubei (Kyïv)
Free loci of matrix pencils and domains of noncommutative rational functions. (English) Zbl 1365.15017
Reviewer: Rabe von Randow (Bonn)
On the arithmetic dimension of triangle groups. (English) Zbl 1379.11043
Reviewer: Alexander W. Mason (Glasgow)
On a strange invariant bilinear form on the space of automorphic forms. (English) Zbl 1393.11044
Reviewer: Neven Grbac (Rijeka)
Subanalytic sheaves and Sobolev spaces. (English) Zbl 1353.32001
Astérisque 383. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-844-2/pbk). xvi, 120 p. (2016).
On the distribution of the trace in the unitary symplectic group and the distribution of Frobenius. (English) Zbl 1417.11123
Kohel, David (ed.) et al., Frobenius distributions: Lang-Trotter and Sato-Tate conjectures. Winter school and workshop on Frobenius distributions on curves, CIRM, Marseille, France, February 17–21, 2014 and February 24–28, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 663, 185-221 (2016).
Unit \(L\)-functions for étale sheaves of modules over noncommutative rings. (English. French summary) Zbl 1359.14023
Reviewer: Thomas Oliver (Bristol)
On absence of bound states for weakly attractive \(\delta^{\prime}\)-interactions supported on non-closed curves in \(\mathbb{R}^{2}\). (English) Zbl 1338.81201
Reviewer: Miyeon Kwon (Platteville)
Bounds for Green’s functions on noncompact hyperbolic Riemann orbisurfaces of finite volume. (English) Zbl 1328.14044
Reviewer: José Javier Etayo (Madrid)
Noncommutative \(L\)-functions for varieties over finite fields. (English) Zbl 1323.11089
Bouganis, Thanasis (ed.) et al., Iwasawa theory 2012. State of the art and recent advances. Selected papers based on the presentations at the conference, Heidelberg, Germany, July 30 – August 3, 2012. Berlin: Springer (ISBN 978-3-642-55244-1/hbk; 978-3-642-55245-8/ebook). Contributions in Mathematical and Computational Sciences 7, 443-469 (2014).
Reviewer: Fumio Hazama (Hatoyama)
Harmonic analysis on the Iwahori-Hecke algebra. (English) Zbl 1323.11028
Reviewer: Sandeep Varma (Mumbai)
Explicit bounds on automorphic and canonical Green functions of Fuchsian groups. (English) Zbl 1301.11052
Reviewer: Majid Heydarpour (Zanjan)
Rational group actions on affine PI-algebras. (English) Zbl 1292.16015
Reviewer: Vyacheslav A. Artamonov (Moskva)
Some remarks on pseudo-trace functions for orbifold models associated with symplectic fermions. (English) Zbl 1271.81152
Reviewer: T. C. Mohan (Chennai)
Drinfeld moduli schemes and automorphic forms. The theory of elliptic modules with applications. (English) Zbl 1269.11052
SpringerBriefs in Mathematics. Berlin: Springer (ISBN 978-1-4614-5887-6/pbk; 978-1-4614-5888-3/ebook). v, 154 p. (2013).
Reviewer: Wen-Wei Li (Beijing)
Représentations galoisiennes automorphes et conséquences arithmétiques des conjectures de Langlands et Arthur. arXiv:1307.5170
Preprint, arXiv:1307.5170 [math.NT] (2013).
MSC:
11F27
11F33
11F46
11F55
11F70
11F72
11F80
11G40
11H06
11R32
11R39
11S15
11S37
11Y55
14D15
14D20
14D22
14G22
14G32
14G35
16R30
22C05
20E18
Poisson-Newton formulas and Dirichlet series. arXiv:1301.6511
Preprint, arXiv:1301.6511 [math.CV] (2013).
On the Frobenius stable part of Witt vector cohomology. (English) Zbl 1262.14018
Reviewer: Theodore J. Stadnik Jr. (Berkeley)
\(L\)-series of Artin stacks over finite fields. (English) Zbl 1329.14042
Reviewer: Feng-Wen An (Hubei)
Explicit bounds on canonical Green functions of modular curves. arXiv:1207.6130
Preprint, arXiv:1207.6130 [math.NT] (2012).
Galois representations arising from some compact Shimura varieties. (English) Zbl 1269.11053
Reviewer: Gabor Wiese (Luxembourg)
The Langlands-Kottwitz approach for the modular curve. (English) Zbl 1309.14019
Reviewer: Salman Abdulali (Greenville)
Motivic invariants of algebraic tori. (English) Zbl 1216.14018
Reviewer: Immanuel Halupczok (Münster)
On the behavior of Eisenstein series through elliptic degeneration. (English) Zbl 1222.11107
Reviewer: Fredrik Strömberg (Darmstadt)
Algebraic function fields and codes. 2nd ed. (English) Zbl 1155.14022
Graduate Texts in Mathematics 254. Berlin: Springer (ISBN 978-3-540-76877-7/hbk). xiii, 355 p. (2009).
Reviewer: Juan Tena Ayuso (Valladolid)
Traces of differential forms on Lipschitz domains, the boundary de Rham complex and Hodge decompositions. (English) Zbl 1167.58001
Reviewer: Agostino Prástaro (Roma)
Scaling group flow and Lefschetz trace formula for laminated spaces with \(p\)-adic transversal. (English) Zbl 1131.14024
Reviewer: Andrzej Piatkowski (Łódź)
Artin-Schreier extensions and their applications. (English) Zbl 1138.11053
Garcia, Arnaldo (ed.) et al., Topics in geometry, coding theory and cryptography. Dordrecht: Springer (ISBN 1-4020-5333-9/hbk; 1-4020-5334-4/e-book). Algebra and Applications 6, 105-133 (2007).
Reviewer: Nikolai L. Manev (Sofia)
Modularity of a certain Calabi-Yau threefold and combinatorial congruences. (English) Zbl 1151.11027
An invitation to Deninger’s work on arithmetic zeta functions. (English) Zbl 1090.11052
Entov, Michael (ed.) et al., Geometry, spectral theory, groups, and dynamics. Proceedings in memory of Robert Brooks, Haifa, Israel, December 29, 2003–January 2, 2004, January 5–9, 2004. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 0-8218-3710-9/pbk). Contemporary Mathematics 387. Israel Mathematical Conference Proceedings, 201-236 (2005).
Reviewer: Florin Nicolae (Berlin)
A sharp form of Whitney’s extension theorem. (English) Zbl 1102.58005
Reviewer: Yuri A. Brudnyi (Haifa)
Soliton equations and their algebro-geometric solutions. I: (1+1)-dimensional continuous models. (English) Zbl 1061.37056
Cambridge Studies in Advanced Mathematics 79. Cambridge: Cambridge University Press (ISBN 0-521-75307-4/hbk). xii, 505 p. (2003).
Reviewer: Ma Wen-Xiu (Tampa)
On the Littlewood-Richardson polynomials. (English) Zbl 1018.16012
Reviewer: Matyas Domokos (Edinburgh)
Quadratic forms, fibre products and some plane curves with many points. (English) Zbl 1028.11039
Reviewer: Tanja Lange (Bochum)
On the dimension of the space of theta functions. (English) Zbl 1020.11034
Reviewer: Jürgen Elstrodt (Münster)
A Pólya-Hilbert operator for automorphic \(L\)-functions. (English) Zbl 1024.11033
Reviewer: J.Elstrodt (Münster)
Quantum surfaces, special functions, and the tunneling effect. (English) Zbl 0996.53058
Reviewer: Benjamin Cahen (Metz)
Trace formulas for a class of compact complex surfaces. arXiv:math/0108178
Preprint, arXiv:math/0108178 [math.NT] (2001).
Teichmüller’s moduli problem of the once punctured tori and the spectral theory of automorphic functions. (English) Zbl 0997.32014
Berlin: FU Berlin, Fachbereich Mathematik und Informatik, 180 p. (2000).
Poincaré series of semi-invariants of \(2\times 2\) matrices. (English) Zbl 0984.16022
Reviewer: Harm Derksen (Ann Arbor)
Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients. (English) Zbl 0993.16011
Reviewer: Matyas Domokos (Edinburgh)
Elliptic curve pseudorandom sequence generators. (English) Zbl 0993.94547
Heys, Howard (ed.) et al., Selected areas in cryptography. 6th annual international workshop, SAC ’99. Kingston, Ontario, Canada, August 9-10, 1999. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1758, 34-48 (2000).
A Fourier fundamental lemma for the symmetric space \(GL(n)/GL(n-1)\). (English) Zbl 0965.11024
Reviewer: Madathum K.Viswanath (Tambaram)
Brauer-Severi schemes of finitely generated algebras. (English) Zbl 0964.16026
Reviewer: Aleksandr G.Aleksandrov (Moskva)
An alternative approach to algebro-geometric solutions of the AKNS hierarchy. (English) Zbl 0974.35107
Prime geodesic theorem for arithmetic compact surfaces. (English) Zbl 0917.11019
Reviewer: A.A.Terras (La Jolla)
On the rank of an elliptic surface. (English) Zbl 0905.14019
Reviewer: J.H.Silverman (Providence)
An introduction to noncommutative spaces and their geometries. (English) Zbl 0909.46060
Lecture Notes in Physics. New Series m: Monographs. m51. Berlin: Springer. xi, 200 p. (1997).
Reviewer: D.Hernandez Ruiperez (Salamanca)
A description of the Brauer-Severi scheme of trace rings of generic matrices. (English) Zbl 0884.16015
Reviewer: P.Koshlukov (Sofia)
Introduction to models on constant negative curvature surfaces. (English) Zbl 0855.58047
Oppo, G.-L. (ed.) et al., Quantum dynamics of simple systems. Proceedings of the forty-fourth Scottish Universities summer school in physics, Stirling, GB, August 15-26, 1994. A NATO Advanced Study Institute. Bristol: Institute of Physics Publishing. 1-47 (1996).
Reviewer: P.Garbaczewski (Wrocław)
Meromorphic continuation of \(L\)-functions of \(p\)-adic representations. (English) Zbl 0868.14011
Reviewer: D.Goss (Columbus/Ohio)
On Kurokawa tensor products of \(L\)-series. (Über Kurokawa-Tensorprodukte von \(L\)-Reihen.) (German) Zbl 0862.11035
Schriftenreihe des Mathematischen Instituts der Universität Münster. 3. Serie. H. 18. Münster: Math. Inst., Univ. Münster, 240 S. (1996).
Reviewer: A.Deitmar (Heidelberg)
Shimura varieties and the Selberg trace formula. (Reprint). Commentary by R. P. Langlands. (English) Zbl 1044.11503
Dlab, Vlastimil (ed.) et al., Canadian Mathematical Society 1945–1995. Vol. 2: Selecta: Canadian Journal Mathematics. Canadian Mathematical Bulletin. Ottawa: Canadian Mathematical Society (ISBN 0-919558-07-0/hbk). 265-295 (1996).
A distribution theoretic proof of Guinand’s functional equation for Cramér’s \(V\)-function and generalizations. (English) Zbl 0847.11041
Reviewer: B.Z.Moroz (Bonn)
Orthogonal matrices obtained from hypergeometric series over finite fields and elliptic curves over finite fields. (English) Zbl 0944.11021
The rank of \(J_ 0(N)\). (English) Zbl 0851.11035
Columbia University number theory seminar, New York, 1992. Paris: Société Mathématique de France, Astérisque. 228, 41-68 (1995).
Reviewer: D.R.Heath-Brown (Oxford)
Orbits of matrix tuples. (English) Zbl 0893.16013
Alev, J. (ed.) et al., Algèbre non commutative, groupes quantiques et invariants. Septième contact Franco-Belge, Reims, France, June 26–30, 1995. Paris: Société Mathématique de France. Sémin. Congr. 2, 245-261 (1995).
Reviewer: V.Drensky (Sofia)
Picard’s billiard. (Picards Billard. Ein Modell für arithmetisches Quantenchaos in drei Dimensionen.) (German) Zbl 0864.58049
Hamburg: Univ. Hamburg, FB Physik, iv, 139 S. (1995).
Evidence for a cohomological approach to analytic number theory. (English) Zbl 0838.11002
Joseph, A. (ed.) et al., First European congress of mathematics (ECM), Paris, France, July 6-10, 1992. Volume I: Invited lectures (Part 1). Basel: Birkhäuser. Prog. Math. 119, 491-510 (1994).
Reviewer: J.Kaczorowski (Poznań)
Generalized Kloosterman sums. (English) Zbl 0819.11029
Haboush, William J. (ed.) et al., Algebraic groups and their generalizations: classical methods. Summer Research Institute on algebraic groups and their generalizations, July 6-26, 1991, Pennsylvania State University, University Park, PA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 56, Pt. 1, 219-231 (1994).
Reviewer: S.Friedberg (Santa Cruz)
On \(L\)-functions of ternary zero forms and exponential sums of Lee and Weintraub. (English) Zbl 0824.11033
Reviewer: M.Muro (Yanagido)
Artin formalism and heat kernels. (English) Zbl 0789.11055
Reviewer: S.Lang (New Haven)
Homological identities for a finite homogeneous graph. (English. Russian original) Zbl 0860.05040
J. Math. Sci., New York 80, No. 3, 1829-1836 (1996); translation from Zap. Nauchn. Semin. POMI 205, 110-121 (1993).
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