{"id":"https://openalex.org/W4414448985","doi":"https://doi.org/10.48550/arxiv.2508.20576","title":"Weyl bound for trilinear periods via conformal bootstrap","display_name":"Weyl bound for trilinear periods via conformal bootstrap","publication_year":2025,"publication_date":"2025-08-28","ids":{"openalex":"https://openalex.org/W4414448985","doi":"https://doi.org/10.48550/arxiv.2508.20576"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2508.20576","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2508.20576","pdf_url":"https://arxiv.org/pdf/2508.20576","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2508.20576","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014402760","display_name":"Anshul Adve","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Adve, Anshul","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078455849","display_name":"James Bonifacio","orcid":"https://orcid.org/0000-0001-6633-7341","observed_orcids":["https://orcid.org/0000-0001-6633-7341"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bonifacio, James","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004065571","display_name":"Petr Kravchuk","orcid":"https://orcid.org/0000-0003-0977-3686","observed_orcids":["https://orcid.org/0000-0003-0977-3686"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kravchuk, Petr","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008517051","display_name":"Dalimil Maz\u00e1\u010d","orcid":"https://orcid.org/0000-0003-2613-0906","observed_orcids":["https://orcid.org/0000-0003-2613-0906"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210163633","display_name":"Institut de Physique Th\u00e9orique","ror":"https://ror.org/058rvd314","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2738703131","https://openalex.org/I4210098836","https://openalex.org/I4210113668","https://openalex.org/I4210163633"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mazac, Dalimil","raw_affiliation_strings":["IPHT - Institut de Physique Th\u00e9orique - UMR CNRS 3681 (Institut de Physique Th\u00e9orique\r\nOrme des Merisiers batiment 774 Point courrier 136 CEA/DSM/IPhT\r\nCEA/Saclay \r\nF-91191 Gif-sur-Yvette Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IPHT - Institut de Physique Th\u00e9orique - UMR CNRS 3681 (Institut de Physique Th\u00e9orique\r\nOrme des Merisiers batiment 774 Point courrier 136 CEA/DSM/IPhT\r\nCEA/Saclay \r\nF-91191 Gif-sur-Yvette Cedex - France)","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2738703131","https://openalex.org/I4210163633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067293723","display_name":"Sridip Pal","orcid":"https://orcid.org/0000-0002-3813-9513","observed_orcids":["https://orcid.org/0000-0002-3813-9513"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pal, Sridip","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5095886740","display_name":"Alex Radcliffe","orcid":"https://orcid.org/0009-0007-4920-4054","observed_orcids":["https://orcid.org/0009-0007-4920-4054"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Radcliffe, Alex","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5115763901","display_name":"Gordon Rogelberg","orcid":"https://orcid.org/0000-0002-2874-9131","observed_orcids":["https://orcid.org/0000-0002-2874-9131"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rogelberg, Gordon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.48730000853538513,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.48730000853538513,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.47530001401901245,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.008799999952316284,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conformal-bootstrap","display_name":"conformal bootstrap","score":0.9129999876022339},{"id":"https://openalex.org/keywords/modular-forms","display_name":"modular forms","score":0.7559999823570251},{"id":"https://openalex.org/keywords/psl-2-z","display_name":"PSL(2,Z)","score":0.5860000252723694},{"id":"https://openalex.org/keywords/triple-product-l-functions","display_name":"triple product L-functions","score":0.7770000100135803},{"id":"https://openalex.org/keywords/arithmetic-lattices","display_name":"arithmetic lattices","score":0.7699999809265137},{"id":"https://openalex.org/keywords/cocompact-lattices","display_name":"cocompact lattices","score":0.7429999709129333},{"id":"https://openalex.org/keywords/period-integrals","display_name":"period integrals","score":0.3540000021457672}],"concepts":[{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.7541000247001648},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.7081000208854675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6500999927520752},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5069000124931335},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5001000165939331},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49079999327659607},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.48100000619888306},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.44679999351501465},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.374099999666214},{"id":"https://openalex.org/C18199665","wikidata":"https://www.wikidata.org/wiki/Q3883909","display_name":"Operator product expansion","level":2,"score":0.34130001068115234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3305000066757202},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.31360000371932983},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.30219998955726624},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29030001163482666},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2750999927520752},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.263700008392334},{"id":"https://openalex.org/C51364350","wikidata":"https://www.wikidata.org/wiki/Q3123529","display_name":"Spectral geometry","level":2,"score":0.25450000166893005}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2508.20576","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2508.20576","pdf_url":"https://arxiv.org/pdf/2508.20576","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-05271762v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-05271762","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2025","raw_type":"info:eu-repo/semantics/preprint"},{"id":"doi:10.48550/arxiv.2508.20576","doi":"https://doi.org/10.48550/arxiv.2508.20576","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2508.20576","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2508.20576","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2508.20576","pdf_url":"https://arxiv.org/pdf/2508.20576","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1099677550","display_name":null,"funder_award_id":"DE-SC0011632","funder_id":"https://openalex.org/F4320337511","funder_display_name":"High Energy Physics"},{"id":"https://openalex.org/G3368294025","display_name":"Graduate Research Fellowship Program (GRFP)","funder_award_id":"2039656","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5163724782","display_name":"From the Planck Scale to the Hubble Scale - Theoretical Physics At KCL","funder_award_id":"ST/X000753/1","funder_id":"https://openalex.org/F4320334632","funder_display_name":"Science and Technology Facilities Council"},{"id":"https://openalex.org/G5496282665","display_name":null,"funder_award_id":"EP/X042618/1","funder_id":"https://openalex.org/F4320314731","funder_display_name":"UK Research and Innovation"},{"id":"https://openalex.org/G7587271361","display_name":null,"funder_award_id":"DE-SC0017660","funder_id":"https://openalex.org/F4320337511","funder_display_name":"High Energy Physics"},{"id":"https://openalex.org/G8046890258","display_name":null,"funder_award_id":"DE-SC0011632","funder_id":"https://openalex.org/F4320333666","funder_display_name":"Walter Burke Institute for Theoretical Physics"},{"id":"https://openalex.org/G9001110046","display_name":null,"funder_award_id":"ST/X000753/1","funder_id":"https://openalex.org/F4320314731","funder_display_name":"UK Research and Innovation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320314707","display_name":"Government of the United Kingdom","ror":"https://ror.org/05wnh3t63"},{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"},{"id":"https://openalex.org/F4320320285","display_name":"King's College London","ror":"https://ror.org/0220mzb33"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320333666","display_name":"Walter Burke Institute for Theoretical Physics","ror":null},{"id":"https://openalex.org/F4320334322","display_name":"HORIZON EUROPE Framework Programme","ror":null},{"id":"https://openalex.org/F4320334632","display_name":"Science and Technology Facilities Council","ror":"https://ror.org/057g20z61"},{"id":"https://openalex.org/F4320337511","display_name":"High Energy Physics","ror":"https://ror.org/035m6g344"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414448985.pdf","grobid_xml":"https://content.openalex.org/works/W4414448985.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W4415152804","https://openalex.org/W6929272593","https://openalex.org/W7115566562"],"related_works":["https://openalex.org/W3122061777","https://openalex.org/W4415013316","https://openalex.org/W2951260328","https://openalex.org/W2605613462","https://openalex.org/W3098880965","https://openalex.org/W2970346804","https://openalex.org/W7223122232","https://openalex.org/W2099333723","https://openalex.org/W4399797584","https://openalex.org/W2897794031"],"abstract_inverted_index":{"Let":[0],"$f_1,f_2$":[1],"be":[2],"holomorphic":[3],"modular":[4],"forms":[5],"of":[6,20,22,28,50],"the":[7,18,23,26,40,51,59,66],"same":[8],"weight":[9],"for":[10,54],"a":[11,31],"cocompact":[12],"lattice":[13],"$\u0393<":[14],"\\mathrm{PSL}_2(\\mathbf{R})$.":[15],"We":[16],"estimate":[17],"rate":[19],"decay":[21],"coefficients":[24],"in":[25,30,58,69],"expansion":[27],"$f_1\\overline{f_2}$":[29],"Laplace":[32],"eigenbasis.":[33],"By":[34],"specializing":[35],"our":[36],"main":[37],"theorem":[38],"to":[39],"case":[41],"where":[42],"$\u0393$":[43],"is":[44],"arithmetic,":[45],"we":[46],"obtain":[47],"new":[48],"instances":[49],"Weyl":[52],"bound":[53],"triple":[55],"product":[56],"$L$-functions":[57],"spectral":[60],"aspect.":[61],"Our":[62],"method":[63],"builds":[64],"on":[65],"conformal":[67],"bootstrap":[68],"physics.":[70]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1}],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2025-10-10T00:00:00"}
