31 Ağustos 2020 Dergi makalesi Açık Erişim

İnam, İlker; Tercan, Elif; İrez Aydın, Banu; Demirkol Özkaya, Zeynep

JSON

{
  "conceptdoi": "10.48623/aperta.286053", 
  "conceptrecid": "286053", 
  "created": "2025-07-06T21:50:13.831972+00:00", 
  "doi": "10.48623/aperta.286054", 
  "files": [
    {
      "bucket": "2f17ed2a-1fb4-4b55-b08b-c6714f6d5dc3", 
      "checksum": "md5:9dac997eae751042aa17f04d2408c786", 
      "key": "10.18185-erzifbed.716250-1041273.pdf", 
      "links": {
        "self": "https://aperta.ulakbim.gov.tr/api/files/2f17ed2a-1fb4-4b55-b08b-c6714f6d5dc3/10.18185-erzifbed.716250-1041273.pdf"
      }, 
      "size": 544867, 
      "type": "pdf"
    }
  ], 
  "id": 286054, 
  "links": {
    "badge": "https://aperta.ulakbim.gov.tr/badge/doi/10.48623/aperta.286054.svg", 
    "bucket": "https://aperta.ulakbim.gov.tr/api/files/2f17ed2a-1fb4-4b55-b08b-c6714f6d5dc3", 
    "conceptbadge": "https://aperta.ulakbim.gov.tr/badge/doi/10.48623/aperta.286053.svg", 
    "conceptdoi": "https://doi.org/10.48623/aperta.286053", 
    "doi": "https://doi.org/10.48623/aperta.286054", 
    "html": "https://aperta.ulakbim.gov.tr/record/286054", 
    "latest": "https://aperta.ulakbim.gov.tr/api/records/286054", 
    "latest_html": "https://aperta.ulakbim.gov.tr/record/286054"
  }, 
  "metadata": {
    "access_right": "open", 
    "access_right_category": "success", 
    "creators": [
      {
        "affiliation": "Bilecik \u015eeyh Edebali \u00dcniversitesi", 
        "name": "\u0130nam, \u0130lker"
      }, 
      {
        "affiliation": "Bilecik \u015eeyh Edebali \u00dcniversitesi", 
        "name": "Tercan, Elif"
      }, 
      {
        "affiliation": "Bilecik \u015eeyh Edebali \u00dcniversitesi", 
        "name": "\u0130rez Ayd\u0131n, Banu"
      }, 
      {
        "affiliation": "Bilecik \u015eeyh Edebali \u00dcniversitesi", 
        "name": "Demirkol \u00d6zkaya, Zeynep"
      }
    ], 
    "description": "<p>Bu &ccedil;al\u0131\u015fmada yar\u0131m tamsay\u0131 a\u011f\u0131rl\u0131kl\u0131 Hecke eigenformlar\u0131n sistematik se&ccedil;imi probleminin &ouml;zel bir durumu &ccedil;&ouml;z&uuml;me kavu\u015fturulmu\u015ftur. &Ouml;yle ki 17/2 ve 21/2 a\u011f\u0131rl\u0131kl\u0131 Hecke eigenformlar, Rankin-Cohen parantezi yard\u0131m\u0131yla belli a\u011f\u0131rl\u0131ktaki Eisenstein serisi ve klasik teta serisi cinsinden ifade edilmi\u015ftir. \u0130spatlar tan\u0131mlardan yola &ccedil;\u0131karak temel lineer cebir metotlar\u0131 yard\u0131m\u0131yla mod&uuml;ler formlar i&ccedil;in verilen Sturm s\u0131n\u0131r\u0131 kullan\u0131larak yap\u0131lm\u0131\u015ft\u0131r. Eisenstein serilerinin basit bir b&ouml;len fonksiyonu yard\u0131m\u0131yla ifade edilebilir olmas\u0131 ve klasik teta serisinde &ccedil;ok fazla bo\u015fluk olmas\u0131 ile t&uuml;revlerinin de kolayca hesaplanabilmesi nedeniyle bu &ouml;rnekler yard\u0131m\u0131yla Hecke eigenformlar\u0131n &ccedil;ok say\u0131da Fourier katsay\u0131s\u0131 bilgisayarda Magma, Sage veya Pari/GP gibi uygun bir cebir yaz\u0131l\u0131m\u0131 yard\u0131m\u0131yla kolayl\u0131kla ve &ccedil;ok h\u0131zl\u0131 bir \u015fekilde hesaplanabilir.</p>", 
    "doi": "10.48623/aperta.286054", 
    "has_grant": true, 
    "keywords": [
      "mod\u00fcler formlar", 
      "Hecke eigenformlar", 
      "Rankin-Cohen parantezi"
    ], 
    "language": "tur", 
    "license": {
      "id": "cc-by-sa"
    }, 
    "publication_date": "2020-08-31", 
    "related_identifiers": [
      {
        "identifier": "10.48623/aperta.286053", 
        "relation": "isVersionOf", 
        "scheme": "doi"
      }
    ], 
    "relations": {
      "version": [
        {
          "count": 1, 
          "index": 0, 
          "is_last": true, 
          "last_child": {
            "pid_type": "recid", 
            "pid_value": "286054"
          }, 
          "parent": {
            "pid_type": "recid", 
            "pid_value": "286053"
          }
        }
      ]
    }, 
    "resource_type": {
      "subtype": "article", 
      "title": "Dergi makalesi", 
      "type": "publication"
    }, 
    "science_branches": [
      "Temel Bilimler > Matematik"
    ], 
    "title": "Rankin-Cohen Parantezi Yard\u0131m\u0131yla Elde Edilen Hecke Eigenform \u00d6rnekleri", 
    "tubitak_grants": [
      {
        "program": "1001", 
        "project_number": "118F148", 
        "workgroup": "MFAG"
      }
    ]
  }, 
  "owners": [
    2893
  ], 
  "revision": 1, 
  "stats": {
    "downloads": 0.0, 
    "unique_downloads": 0.0, 
    "unique_views": 0.0, 
    "version_downloads": 0.0, 
    "version_unique_downloads": 0.0, 
    "version_unique_views": 0.0, 
    "version_views": 0.0, 
    "version_volume": 0.0, 
    "views": 0.0, 
    "volume": 0.0
  }, 
  "updated": "2025-07-06T21:50:13.881219+00:00"
}