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Multiple Zeta Values over Fq[ t]
Başlık:
Multiple Zeta Values over Fq[ t]
Yazar:
Shi, Shuhui, author.
ISBN:
9780355974744
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (103 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Advisors: Dinesh S. Thakur Committee members: Charles D. Haessig; Ming-Lun Lee; Sarada G. Rajeev.
Özet:
In this thesis, we study structural relations between multiple zeta values over F q [t] and their variants. In Chapter 2, we show that these values at negative integers of depth at least 2 only vanish at "trivial" zeros. In Chapter 3, we define a product on the space underlying the space of multiple zeta values, reflecting the shuffle relations. We also give a coproduct and conjecture that this gives a Hopf algebra structure on this space. We give a partial proof and a computational evidence for the associativity and coassociativity. In Chapter 4, we introduce several versions of truncated multiple zeta values depending on the choice of a prime and prove some "universal" relations among them which work for almost all primes. We also give a conjecture on the dimensions of the F q ( t)---spaces spanned by these adelic truncated values of given weight.
Notlar:
School code: 0188
Konu Başlığı:
Tüzel Kişi Ek Girişi:
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(679925.1) | 679925-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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