[Turkmath:2972] Re: [Tmd-uye: 2059] biraz tarih...

[Mehmet Can]

Biraz da tarih deyince Cengiz Ulucay merhumu hatirladim.
Yetmisli yillarin basiydi.
Kompleks Fonksiyonlar Teorisinde onemli bir “conjecture”I kanitladigini dusunuyordu. Meslekdaslari ispatinda Zayif bir nokta oldugunu soyluyorlardi. Ama Ulucay onlar gibi dusunmuyordu. Bize anlatti ama anlayamadik.

Sanirim Sayin Okay Celebi’nin ve Sayin Zerrin Gokturk’un bir fikri vardir.


M Can



From: Tmd-uye <tmd-uye-bounces at listweb.bilkent.edu.tr> On Behalf Of yilmaz akyildiz
Sent: Sunday, April 29, 2018 11:07 PM
To: turkmath <turkmath at listweb.bilkent.edu.tr>; tmd <tmd-uye at listweb.bilkent.edu.tr>; Robert Langlands <rpl at ias.edu>
Subject: [Tmd-uye: 2059] biraz tarih...

"... My office in Ankara was next to that of Cahit Arf, and when I mentioned the question to him, he drew my attention to a paper of Hasse that had appeared in a journal not widely read, the Acta Salmanticensia of 1954. He fortunately had a reprint. So I could begin to think seriously about the matter. The critical idea came in April 1968 in a hotel room in Izmir, where I had gone to deliver a lecture. It was the understanding that all identities needed were consequences of four basic ones, formulated in the notes as the four main lemmas. Once this is understood and basic facts about Gauss sums are understood, as in the papers of Lamprecht and Davenport-Hasse, three of these four identities are not so difficult to establish. The second main lemma turned out, on the other hand, to be a major obstacle. Fortunately while leafing idly through journals in the library, either in Ankara or later in New Haven (I no longer remember), I came across Dwork's paper in which the first and the second main lemmas were proved. Dwork had indeed tried to establish a product formula for what has come to be called the ϵϵ-factor..."
Robert Langlands
http://publications.ias.edu/rpl/section/22
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