TY - JOUR AU - Erdélyi, Márton Kristóf AU - Tóth, Árpád AU - Zábrádi, Gergely TI - Matrix Kloosterman sums modulo prime powers JF - MATHEMATISCHE ZEITSCHRIFT J2 - MATH Z VL - 306 PY - 2024 IS - 4 PG - 21 SN - 0025-5874 DO - 10.1007/s00209-024-03467-y UR - https://m2.mtmt.hu/api/publication/34741100 ID - 34741100 N1 - Funding Agency and Grant Number: MTA-RI Lendulet "Momentum" Analytic Number Theory and Representation Theory Research Group; NKFIH Research Grants [FK-127906, K-135885, K 119528]; Renyi Institute Lendulet Automorphic Research Group; MTA-RI Lenduelet "Momentum" Analytic Number Theory and Representation Theory Research Group Funding text: Erdelyi was supported by the MTA-RI Lendulet "Momentum" Analytic Number Theory and Representation Theory Research Group, and by NKFIH Research Grants FK-127906 and K-135885. Toth was supported by by the Renyi Institute Lendulet Automorphic Research Group, by the NKFIH Research Grants K 119528 and K-135885. Zabradi was supported by the Renyi Institute Lenduelet Automorphic Research Group, by the MTA-RI Lenduelet "Momentum" Analytic Number Theory and Representation Theory Research Group, and by the NKFIH Research Grants FK-127906 and K-135885. We thank the referee for a careful reading and helpful comments. We are also grateful to the authors of the paper [5] who provided valuable suggestions for improvements in the presentation of the paper. We also thank them for many stimulating conversations during a Heilbronn research workshop on Effective equidistribution in homogeneous dynamics, that they organized at the University of Bristol. AB - We give optimal bounds for matrix Kloosterman sums modulo prime powers extending earlier work of the first two authors on the case of prime moduli. These exponential sums arise in the theory of the horocyclic flow on GL_n G L n . LA - English DB - MTMT ER - TY - JOUR AU - Maga, Péter AU - Zábrádi, Gergely TI - The sup-norm problem for automorphic cusp forms of PGL(n,Z[i]) JF - PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY J2 - P AM MATH SOC VL - 152 PY - 2024 IS - 2 SP - 559 EP - 572 PG - 14 SN - 0002-9939 DO - 10.1090/proc/16576 UR - https://m2.mtmt.hu/api/publication/34353117 ID - 34353117 LA - English DB - MTMT ER - TY - JOUR AU - Csahók, Tímea AU - Kutas, Péter AU - Montessinos, Mickaël AU - Zábrádi, Gergely TI - Explicit isomorphisms of quaternion algebras over quadratic global fields JF - RESEARCH IN NUMBER THEORY J2 - RESEARCH IN NUMBER THEORY VL - 8 PY - 2022 IS - 4 SN - 2363-9555 DO - 10.1007/s40993-022-00380-3 UR - https://m2.mtmt.hu/api/publication/33122452 ID - 33122452 AB - Let L be a separable quadratic extension of either {\mathbb {Q}} Q or {\mathbb {F}}_q(t) F q ( t ) . We exhibit efficient algorithms for finding isomorphisms between quaternion algebras over L . Our techniques are based on computing maximal one-sided ideals of the corestriction of a central simple L -algebra. LA - English DB - MTMT ER - TY - CHAP AU - Kutas, Péter AU - Montessinos, Mickaël AU - Zábrádi, Gergely AU - Csahók, Tímea ED - Marc, Moreno Maza TI - Finding Nontrivial Zeros of Quadratic Forms over Rational Function Fields of Characteristic 2 T2 - Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation PB - Association for Computing Machinery (ACM) CY - New York, New York SN - 9781450386883 PY - 2022 SP - 235 EP - 244 PG - 10 DO - 10.1145/3476446.3535485 UR - https://m2.mtmt.hu/api/publication/33025777 ID - 33025777 LA - English DB - MTMT ER - TY - JOUR AU - Cherubini, Giacomo AU - Wu, Han AU - Zábrádi, Gergely TI - On Kuznetsov-Bykovskii's formula of counting prime geodesics JF - MATHEMATISCHE ZEITSCHRIFT J2 - MATH Z VL - 300 PY - 2022 IS - 1 SP - 881 EP - 928 PG - 48 SN - 0025-5874 DO - 10.1007/s00209-021-02808-5 UR - https://m2.mtmt.hu/api/publication/32063142 ID - 32063142 N1 - Published: 26 July 2021 LA - English DB - MTMT ER - TY - JOUR AU - Carter, Annie AU - Kedlaya, Kiran S. AU - Zábrádi, Gergely TI - Drinfeld's lemma for perfectoid spaces and overconvergence of multivariate (φ,Γ)-modules JF - DOCUMENTA MATHEMATICA J2 - DOC MATH VL - 26 PY - 2021 SP - 1329 EP - 1393 PG - 65 SN - 1431-0635 DO - 10.25537/dm.2021v26.1329-1393 UR - https://m2.mtmt.hu/api/publication/32130577 ID - 32130577 N1 - University of California San Diego, 9500 Gilman Drive, La Jolla, CA 92093, United States Eötvös Loránd University & MTA Rényi Institute Lendület Automorphic Research Group, Institute of Mathematics, Pázmány Péter sétány 1/C, Budapest, 1117, Hungary Export Date: 29 March 2023 Correspondence Address: Carter, A.; University of California San Diego, 9500 Gilman Drive, United States; email: a4carter@ucsd.edu Funding details: National Science Foundation, NSF, DMS-1501214, DMS-1502651, DMS-1802161 Funding details: University of California, San Diego, UCSD Funding details: Magyar Tudományos Akadémia, MTA Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFIH, FK-127906 Funding text 1: Carter was a postdoctoral fellow of the UCSD Research Training Group in Algebra, Algebraic Geometry, and Number Theory (NSF grant DMS-1502651). Kedlaya was supported by NSF (grants DMS-1501214, DMS-1802161) and by UC San Diego (Warschawski Professorship). Zábrádi was supported by the János Bolyai Scholarship of the Hungarian Academy of Sciences, by an NKFIH Research grant FK-127906, by the MTA Alfréd Rényi Institute of Mathematics Lendület Automorphic Research Group, and by the Thematic Excellence Programme, Industry and Digitization Subprogramme, NRDI Office, 2019. LA - English DB - MTMT ER - TY - JOUR AU - Jishnu, Ray AU - Feng, Wei AU - Zábrádi, Gergely TI - MULTIVARIABLE (phi,Gamma)-MODULES AND REPRESENTATIONS OF PRODUCTS OF GALOIS GROUPS: THE CASE OF THE IMPERFECT RESIDUE FIELD JF - BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE J2 - B SOC MATH FR VL - 149 PY - 2021 IS - 3 SP - 521 EP - 546 PG - 26 SN - 0037-9484 DO - 10.24033/bsmf.2837 UR - https://m2.mtmt.hu/api/publication/32111013 ID - 32111013 LA - English DB - MTMT ER - TY - JOUR AU - Pal, Aprameyo AU - Zábrádi, Gergely TI - COHOMOLOGY AND OVERCONVERGENCE FOR REPRESENTATIONS OF POWERS OF GALOIS GROUPS JF - JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU J2 - J INST MATH JUSSIEU VL - 20 PY - 2021 IS - 2 SP - 361 EP - 421 PG - 61 SN - 1474-7480 DO - 10.1017/S1474748019000197 UR - https://m2.mtmt.hu/api/publication/30630750 ID - 30630750 N1 - Universität Duisburg-Essen, Fakultät für Mathematik, Thea-Leymann-Straβe 9, Essen, D-45127, Germany Eötvös Loránd University, Institute of Mathematics, Pázmány Péter sétány 1/C, Budapest, H-1117, Hungary Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, POB 127, Budapest, H-1364, Hungary Mta Rényi Intézet Lendület Automorphic Research Group, Hungary Cited By :2 Export Date: 29 March 2023 Funding details: SFB TR45 Funding details: Magyar Tudományos Akadémia, MTA Funding text 1: Research grants K-100291 and FK-127906, by the János Bolyai Scholarship of the Hungarian Academy of Sciences, and by the MTA Alfréd Rényi Institute of Mathematics Lendület Automorphic Research Group. He would like to thank the Arithmetic Geometry and Number Theory group of the University of Duisburg–Essen, campus Essen, for its hospitality where parts of this paper was written. Both authors acknowledge financial support from SFB TR45. We would like to thank Jan Kohlhaase and Kiran Kedlaya for valuable comments and feedback. We thank the referee for their careful reading of the manuscript. Funding text 2: Acknowledgements. The second named author was supported by a Hungarian NKFIH LA - English DB - MTMT ER - TY - JOUR AU - Zábrádi, Gergely TI - Multivariable (phi, Gamma)-modules and products of Galois groups JF - MATHEMATICAL RESEARCH LETTERS J2 - MATH RES LETT VL - 25 PY - 2018 IS - 2 SP - 687 EP - 721 PG - 35 SN - 1073-2780 DO - 10.4310/MRL.2018.v25.n2.a18 UR - https://m2.mtmt.hu/api/publication/3393386 ID - 3393386 N1 - Export Date: 28 October 2019 Correspondence Address: Zábrádi, G.; Institute of Mathematics, Eötvös Loránd University, Pázmány Péter s. 1/C, Hungary; email: zger@cs.elte.hu Funding details: SFB Funding details: K-100291 Funding text 1: This research was supported by a Hungarian OTKA Research grant K-100291 and by the János Bolyai Scholarship of the Hungarian Academy of Sciences. I would like to thank the Arithmetic Geometry and Number Theory group of the University of Duisburg–Essen, campus Essen, for its hospitality and for financial support from SFB TR45 where parts of this paper was written. I am grateful to Christophe Breuil, Elmar Große-Klönne, Kiran Kedlaya, and Vytas Paˇsku¯nas for useful discussions on the topic. I would like to thank Peter Scholze for clarifying the relation of this work to his theory of realizing GQp,∆ as the étale fundamental group of a diamond. LA - English DB - MTMT ER - TY - JOUR AU - Zábrádi, Gergely TI - Centrális egyszerű algebrák és Galois-kohomológia JF - ÉRINTŐ : ELEKTRONIKUS MATEMATIKAI LAPOK J2 - ÉRINTŐ VL - 9 PY - 2018 PG - 10 SN - 2559-9275 UR - https://m2.mtmt.hu/api/publication/3386228 ID - 3386228 LA - Hungarian DB - MTMT ER -