31 Ağustos 2020 Dergi makalesi Açık Erişim

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

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  "@id": 286054, 
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      "@type": "Person", 
      "affiliation": "Bilecik \u015eeyh Edebali \u00dcniversitesi", 
      "name": "\u0130nam, \u0130lker"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Bilecik \u015eeyh Edebali \u00dcniversitesi", 
      "name": "Tercan, Elif"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Bilecik \u015eeyh Edebali \u00dcniversitesi", 
      "name": "\u0130rez Ayd\u0131n, Banu"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Bilecik \u015eeyh Edebali \u00dcniversitesi", 
      "name": "Demirkol \u00d6zkaya, Zeynep"
    }
  ], 
  "datePublished": "2020-08-31", 
  "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>", 
  "headline": "Rankin-Cohen Parantezi Yard\u0131m\u0131yla Elde Edilen Hecke Eigenform \u00d6rnekleri", 
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    "alternateName": "tur", 
    "name": "Turkish"
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  "keywords": [
    "mod\u00fcler formlar", 
    "Hecke eigenformlar", 
    "Rankin-Cohen parantezi"
  ], 
  "license": "http://www.opendefinition.org/licenses/cc-by-sa", 
  "name": "Rankin-Cohen Parantezi Yard\u0131m\u0131yla Elde Edilen Hecke Eigenform \u00d6rnekleri", 
  "url": "https://aperta.ulakbim.gov.tr/record/286054"
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