{"@context":{"@language":"en","Affiliation":"http:\/\/vivoweb.org\/ontology\/core#departmentOrSchool","AggregatedSourceRepository":"http:\/\/www.europeana.eu\/schemas\/edm\/dataProvider","Creator":"http:\/\/purl.org\/dc\/terms\/creator","DateAvailable":"http:\/\/purl.org\/dc\/terms\/issued","DateIssued":"http:\/\/purl.org\/dc\/terms\/issued","Description":"http:\/\/purl.org\/dc\/terms\/description","DigitalResourceOriginalRecord":"http:\/\/www.europeana.eu\/schemas\/edm\/aggregatedCHO","Extent":"http:\/\/purl.org\/dc\/terms\/extent","FileFormat":"http:\/\/purl.org\/dc\/elements\/1.1\/format","FullText":"http:\/\/www.w3.org\/2009\/08\/skos-reference\/skos.html#note","IsShownAt":"http:\/\/www.europeana.eu\/schemas\/edm\/isShownAt","Language":"http:\/\/purl.org\/dc\/terms\/language","Notes":"http:\/\/www.w3.org\/2009\/08\/skos-reference\/skos.html#note","PeerReviewStatus":"https:\/\/open.library.ubc.ca\/terms#peerReviewStatus","Provider":"http:\/\/www.europeana.eu\/schemas\/edm\/provider","Publisher":"http:\/\/purl.org\/dc\/terms\/publisher","Rights":"http:\/\/purl.org\/dc\/terms\/rights","RightsURI":"https:\/\/open.library.ubc.ca\/terms#rightsURI","ScholarlyLevel":"https:\/\/open.library.ubc.ca\/terms#scholarLevel","Series":"http:\/\/purl.org\/dc\/terms\/isPartOf","Subject":"http:\/\/purl.org\/dc\/terms\/subject","Title":"http:\/\/purl.org\/dc\/terms\/title","Type":"http:\/\/purl.org\/dc\/terms\/type","URI":"https:\/\/open.library.ubc.ca\/terms#identifierURI","SortDate":"http:\/\/purl.org\/dc\/terms\/date"},"Affiliation":[{"@value":"Non UBC","@language":"en"}],"AggregatedSourceRepository":[{"@value":"DSpace","@language":"en"}],"Creator":[{"@value":"Pantchichkine, Alexei","@language":"en"}],"DateAvailable":[{"@value":"2019-04-01T09:03:36Z","@language":"en"}],"DateIssued":[{"@value":"2018-10-02T15:32","@language":"en"}],"Description":[{"@value":"For a prime p and a positive integer n, the standard zeta function LF (s) is consid-\nered, attached to an Hermitian modular form F = \u00e2 A(H)qH on the Hermitian upper half H\nplane Hm of degree n, where H runs through semi-integral positive definite Hermitian matrices of degree n, i.e. H \u00e2 \u00ce m(O) over the integers O of an imaginary quadratic field K, where qH = exp(2\u00cf iTr(HZ)). Analytic p-adic continuation of their zeta functions constructed by A.Bouganis in the ordinary case, is extended to the admissible case via growing p-adic measures. Previously this problem was solved for the Siegel modular forms. Main result is stated in terms of the Hodge polygon PH(t) : [0,d] \u00e2 R and the Newton polygon PN(t) = PN,p(t) : [0,d] \u00e2 R of the zeta function LF (s) of degree d = 4n. Main theorem gives a p-adic analytic interpolation of the L values in the form of certain integrals with respect to Mazur-type measures.\n
\nRelated references:
\n[BS00] B \u00cc ocherer, S., and Schmidt, C.-G., p-adic measures attached to Siegel modular forms,\nAnn. Inst. Fourier 50, N. 5, 1375\u00e2 1443 (2000).\n
\n[Bou16] Bouganis T., p-adic Measures for Hermitian Modular Forms and the Rankin\u00e2 Selberg\nMethod. in Elliptic Curves, Modular Forms and Iwasawa Theory \u00e2 Conference in honour of the 70th birthday of John Coates, pp 33\u00e2 86\n
\n[CourPa] Courtieu M, Panchishkin A. A, Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms, Lecture Notes in Mathematics 1471, Springer-Verlag, 2004 (2nd augmented ed.)","@language":"en"}],"DigitalResourceOriginalRecord":[{"@value":"https:\/\/circle.library.ubc.ca\/rest\/handle\/2429\/69374?expand=metadata","@language":"en"}],"Extent":[{"@value":"59.0","@language":"en"}],"FileFormat":[{"@value":"video\/mp4","@language":"en"}],"FullText":[{"@value":"","@language":"en"}],"IsShownAt":[{"@value":"10.14288\/1.0377712","@language":"en"}],"Language":[{"@value":"eng","@language":"en"}],"Notes":[{"@value":"Author affiliation: Universit\u00e9 Grenoble Alpes","@language":"en"}],"PeerReviewStatus":[{"@value":"Unreviewed","@language":"en"}],"Provider":[{"@value":"Vancouver : University of British Columbia Library","@language":"en"}],"Publisher":[{"@value":"Banff International Research Station for Mathematical Innovation and Discovery","@language":"en"}],"Rights":[{"@value":"Attribution-NonCommercial-NoDerivatives 4.0 International","@language":"en"}],"RightsURI":[{"@value":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/","@language":"en"}],"ScholarlyLevel":[{"@value":"Faculty","@language":"en"}],"Series":[{"@value":"BIRS Workshop Lecture Videos (Oaxaca de Ju\u00e1rez (Mexico))","@language":"en"}],"Subject":[{"@value":"Mathematics","@language":"en"},{"@value":"Number theory","@language":"en"},{"@value":"Algebraic geometry","@language":"en"},{"@value":"Arithmetic number theory","@language":"en"}],"Title":[{"@value":"Constructions of p-adic L-functions and admissible measures for Hermitian modular forms.","@language":"en"}],"Type":[{"@value":"Moving Image","@language":"en"}],"URI":[{"@value":"http:\/\/hdl.handle.net\/2429\/69374","@language":"en"}],"SortDate":[{"@value":"2018-10-02 AD","@language":"en"}],"@id":"doi:10.14288\/1.0377712"}