{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T17:54:58Z","timestamp":1776794098913,"version":"3.51.2"},"reference-count":22,"publisher":"American Mathematical Society (AMS)","issue":"276","license":[{"start":{"date-parts":[[2012,4,13]],"date-time":"2012-04-13T00:00:00Z","timestamp":1334275200000},"content-version":"am","delay-in-days":366,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    We present and compare several algorithms for evaluating Jacquet\u2019s Whittaker functions for\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper S upper L left-parenthesis 3 comma double-struck upper Z right-parenthesis\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mi>S<\/mml:mi>\n                            <mml:mi>L<\/mml:mi>\n                            <mml:mo stretchy=\"false\">(<\/mml:mo>\n                            <mml:mn>3<\/mml:mn>\n                            <mml:mo>,<\/mml:mo>\n                            <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                              <mml:mi mathvariant=\"double-struck\">Z<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">SL(3,\\mathbb {Z})<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    . The most suitable algorithm is then applied to the problem of evaluating a Maass form for\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper S upper L left-parenthesis 3 comma double-struck upper Z right-parenthesis\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mi>S<\/mml:mi>\n                            <mml:mi>L<\/mml:mi>\n                            <mml:mo stretchy=\"false\">(<\/mml:mo>\n                            <mml:mn>3<\/mml:mn>\n                            <mml:mo>,<\/mml:mo>\n                            <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                              <mml:mi mathvariant=\"double-struck\">Z<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">SL(3,\\mathbb {Z})<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    with known eigenvalues and Fourier coefficients.\n                  <\/p>","DOI":"10.1090\/s0025-5718-2011-02499-3","type":"journal-article","created":{"date-parts":[[2011,4,13]],"date-time":"2011-04-13T14:50:55Z","timestamp":1302706255000},"page":"2299-2313","source":"Crossref","is-referenced-by-count":1,"title":["Evaluating Whittaker functions and Maass forms for \ud835\udc46\ud835\udc3f(3,\u2124)"],"prefix":"10.1090","volume":"80","author":[{"given":"Borislav","family":"Mezhericher","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2011,4,13]]},"reference":[{"key":"1","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/BF02788764","article-title":"Unramified Whittaker functions for \ud835\udc3a\ud835\udc3f(3,\ud835\udc45)","volume":"65","author":"Bump, Daniel","year":"1995","journal-title":"J. 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Farmer, Sally Koutsoliotas, and Stefan Lemurell, A direct search for degree-3 \ud835\udc3f-functions, In preparation, 2008."},{"key":"11","series-title":"Cambridge Studies in Advanced Mathematics","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511542923","volume-title":"Automorphic forms and $L$-functions for the group ${\\rm GL}(n,\\mathbf R)$","volume":"99","author":"Goldfeld, Dorian","year":"2006","ISBN":"https:\/\/id.crossref.org\/isbn\/9780521837712"},{"key":"12","doi-asserted-by":"crossref","first-page":"243","DOI":"10.24033\/bsmf.1654","article-title":"Fonctions de Whittaker associ\u00e9es aux groupes de Chevalley","volume":"95","author":"Jacquet, Herv\u00e9","year":"1967","journal-title":"Bull. Soc. Math. 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