<div><div dir="ltr"><div id="m_-9142147675862941538gmail-:25v" style="direction:ltr;margin:8px 0px 0px;padding:0px;font-size:0.875rem;overflow-x:hidden;font-family:"Google Sans",Roboto,RobotoDraft,Helvetica,Arial,sans-serif"><div id="m_-9142147675862941538gmail-:25w" style="direction:ltr;font-stretch:normal;font-size:small;line-height:1.5;font-family:Arial,Helvetica,sans-serif;font-size-adjust:none;font-kerning:auto;font-variant-alternates:normal;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;font-feature-settings:normal;overflow:auto hidden"><div id="m_-9142147675862941538gmail-avWBGd-3358"><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<b> 3 Mart 2026 Salı günü</b> online olarak zoom üzerinden düzenlenecektir. </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"><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 British Columbia Üniversitesi'nin (Kanada) değerli öğretim üyesi<b> Michael A. Bennett</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="arial, sans-serif"><b>Konuşma Adı:</b> <span style="color:rgb(36,41,46)"> </span><span style="color:rgb(36,41,46)"><b>Arithmetic progressions in sumsets of geometric progressions</b></span></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>Özet:</b> <span style="color:rgb(36,41,46)">If a and b are integers with b > a > 1, we completely characterize “long” arithmetic progressions in the sumsets of the geometric progressions 1, a, a2, a3, . . . and 1, b, b2, b3, …. Our proofs utilize recent applications of bounds for linear forms in logarithms to S-unit equations, and consequences of the modularity of Frey-Hellegouarch curves, together with elementary arguments.</span></font><br></p><div><font face="arial, sans-serif"><b><br></b></font></div><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: 03/03/2026 </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: 21:00 İstanbul / 19:00 Berlin / 18:00 Londra / 03:00 Seoul (+1) / 10:00 Vancouver / 05:00 Sydney(+1)</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 formun 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/fEh8hkAkFoWnKDNT9" target="_blank">https://forms.gle/fEh8hkAkFoWnKDNT9</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"><br></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 semester on <b>Tue, March 03, 2026</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<span> </span></font><b style="font-family:arial,sans-serif">Michael A. Bennett</b><font face="arial, sans-serif">, a faculty member at the University of British Columbia, Canada. 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><b style="color:rgb(36,41,46)">Arithmetic progressions in sumsets of geometric progressions</b></p><span style="color:rgb(36,41,46)"></span><span style="color:rgb(36,41,46);font-family:-apple-system,BlinkMacSystemFont,"Segoe UI",Helvetica,Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol""></span><font face="arial, sans-serif"></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"><font face="arial, sans-serif"><b>Abstract: </b></font><span style="color:rgb(36,41,46);font-family:arial,sans-serif">If a and b are integers with b > a > 1, we completely characterize “long” arithmetic progressions in the sumsets of the geometric progressions 1, a, a2, a3, . . . and 1, b, b2, b3, …. Our proofs utilize recent applications of bounds for linear forms in logarithms to S-unit equations, and consequences of the modularity of Frey-Hellegouarch curves, together with elementary arguments.</span></p><font face="arial, sans-serif"></font><font face="arial, sans-serif"></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"><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: March 03, 2026, 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: </font></b><b><font face="arial, sans-serif">21:00 İstanbul / 19:00 Berlin / 18:00 Londra / 03:00 Seoul (+1) / 10:00 Vancouver / 05:00 Sydney(+1)</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/fEh8hkAkFoWnKDNT9" target="_blank">https://forms.gle/fEh8hkAkFoWnKDNT9</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><div></div><div></div></div></div></div><div id="m_-9142147675862941538gmail-:2e5" style="font-size:0.875rem;margin:15px 0px;clear:both;font-family:"Google Sans",Roboto,RobotoDraft,Helvetica,Arial,sans-serif"></div><br></div>
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