<div dir="ltr"><div dir="ltr"><div dir="ltr"><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Değerli Liste Üyeleri, </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Bilecik Şeyh Edebali Üniversitesi Fen Fakültesi Matematik Bölümü Cebir ve Sayılar Teorisi Anabilim dalı öğretim üyeleri tarafından kurulan “Bilecik Algebra & Number Theory (BANT)” grubu tarafından organize edilen seminer serilerinin yeni konuşması</font><span style="font-family:arial,sans-serif"> <b>12 Kasım</b></span><b style="font-family:arial,sans-serif"> 2024 Salı günü</b><span style="font-family:arial,sans-serif"> online olarak zoom üzerinden düzenlenecektir. </span></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"><br></font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Etkinliğin web sitesi: <a href="https://bilecikalgebranumbertheory.github.io/" target="_blank">https://bilecikalgebranumbertheory.github.io/</a> dir. </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Sıradaki konuşmacı Stellenbosch Üniversitesi'nin (Güney Afrika) değerli öğretim üyesi <b><span>Florian Luca</span></b> olacaktır ve konuşma bilgileri aşağıda yer almaktadır. </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="monospace"><b>Konuşma Adı:</b> <span style="color:rgb(36,41,46)">On a question of Douglass and Ono</span></font><font face="monospace"><span style="color:rgb(36,41,46)"><br></span><b>Özet:</b> </font><span style="color:rgb(36,41,46);background-color:rgb(255,255,255)"><font face="garamond, times new roman, serif">It is known that the partition function ( p(n) ) obeys Benford’s law in any integer base ( b \geq 2 ). A similar result was obtained by Douglass and Ono for the plane partition function ( PL(n) ) in a recent paper. In their paper, Douglass and Ono asked for an explicit version of this result. In particular, given an integer base ( b \geq 2 ) and a string ( f ) of digits in base ( b ), they asked for an explicit value ( N(b, f) ) such that there exists ( n \leq N(b, f) ) with the property that ( PL(n) ) starts with the string ( f ) when written in base ( b ). In my talk, I will present an explicit value for ( N(b, f) ) both for the partition function ( p(n) ) as well as for the plane partition function ( PL(n) ).</font></span></p><div><font face="arial, sans-serif"><b><br></b></font><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><b><font face="arial, sans-serif">Tarih: 12/11/2024 </font></b></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><b><font face="arial, sans-serif">Saat: 19:00 İstanbul / 17:00 Berlin / 16:00 Londra </font></b></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Katılım için linkte yer alan form doldurulması yeterlidir, </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Form linki: </font><a href="https://forms.gle/dHadgTbW4CFJcsrB6" target="_blank">https://forms.gle/dHadgTbW4CFJcsrB6</a></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Zoom linki formu doldurduktan sonra email ile paylaşılacaktır. Etkinlik posteri ekte yer almaktadır. </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Saygılarımla, </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Prof.Dr. İlker İnam</font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Düzenleme komitesi adına. </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">————————————————————— </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Dear list members, </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">The "Bilecik Algebra & Number Theory (BANT)" group, founded by the faculty members of the Department of Algebra and Number Theory at Bilecik Seyh Edebali University's Faculty of Science, will host its next seminar on <b>Tue, November 12, 2024</b>. The event will be conducted online via Zoom. </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">The website for the event is:  <a href="https://bilecikalgebranumbertheory.github.io/" target="_blank">https://bilecikalgebranumbertheory.github.io/</a>. </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">The inaugural speaker will be Florian Luca, a faculty member at Stellenbosch University, South Africa. Details of the presentation are provided below. </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"><b>Title: </b></font><span style="color:rgb(36,41,46);font-family:monospace">On a question of Douglass and Ono</span></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"><b>Abstract: </b></font><span style="color:rgb(36,41,46);font-family:garamond,"times new roman",serif">It is known that the partition function ( p(n) ) obeys Benford’s law in any integer base ( b \geq 2 ). A similar result was obtained by Douglass and Ono for the plane partition function ( PL(n) ) in a recent paper. In their paper, Douglass and Ono asked for an explicit version of this result. In particular, given an integer base ( b \geq 2 ) and a string ( f ) of digits in base ( b ), they asked for an explicit value ( N(b, f) ) such that there exists ( n \leq N(b, f) ) with the property that ( PL(n) ) starts with the string ( f ) when written in base ( b ). In my talk, I will present an explicit value for ( N(b, f) ) both for the partition function ( p(n) ) as well as for the plane partition function ( PL(n) ).</span></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><span style="color:rgb(36,41,46);font-family:garamond,"times new roman",serif"><br></span></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><b><font face="arial, sans-serif">Date: November 12, 2024, Tuesday</font></b></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><b><font face="arial, sans-serif">Time: 19:00 Istanbul / 17:00 Berlin / 16:00 London </font></b></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">To participate, simply fill out the form at the following link: </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Form Link: </font><a href="https://forms.gle/dHadgTbW4CFJcsrB6" target="_blank">https://forms.gle/dHadgTbW4CFJcsrB6</a></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">The Zoom link will be shared via email after filling out the form. The event poster is attached. </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif"> </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Best regards, </font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">Prof.Dr. Ilker Inam</font></p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:normal"><font face="arial, sans-serif">On behalf of the organizing committee </font></p></div></div>
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