Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Thakur, Dinesh S."'
Autor:
Thakur, Dinesh S
In [Tha15], we looked at two (`multiplicative' and `Carlitz-Drinfeld additive') analogs each, for the well-known basic congruences of Fermat and Wilson, in the case of polynomials over finite fields. When we look at them modulo higher powers of prime
Externí odkaz:
http://arxiv.org/abs/2211.01076
Autor:
Thakur, Dinesh S
We present an heuristic argument for the prediction of expected Mordell-Weil rank of elliptic curves over number fields, using Birch and Swinnerton-Dyer's original conjecture and Sato-Tate conjectures. We do calculations in some cases and raise quest
Externí odkaz:
http://arxiv.org/abs/2210.12028
We prove or conjecture several relations between the multizeta values for positive genus function fields of class number one, focusing on the zeta-like values, namely those whose ratio with the zeta value of the same weight is rational (or conjectura
Externí odkaz:
http://arxiv.org/abs/2003.12910
Publikováno v:
Journal de Théorie des Nombres de Bordeaux, 2021 Jan 01. 33(2), 553-581.
Externí odkaz:
https://www.jstor.org/stable/48618789
Autor:
Thakur, Dinesh S.
The primes or prime polynomials (over finite fields) are supposed to be distributed `irregularly' , despite nice asymptotic or average behavior. We provide some conjectures/guesses/hypotheses with `evidence' of surprising symmetries in prime distribu
Externí odkaz:
http://arxiv.org/abs/1512.02685
We prove some interesting multiplicative relations which hold between the coefficients of the logarithmic derivatives obtained in a few simple ways from $\mathbb{F}_q$-linear formal power series. Since the logarithmic derivatives connect power sums t
Externí odkaz:
http://arxiv.org/abs/1402.2178
We prove and conjecture several relations between multizeta values for $\mathbb{F}_q[t]$, focusing on zeta-like values, namely those whose ratio with the zeta value of the same weight is rational (or equivalently algebraic). In particular, we describ
Externí odkaz:
http://arxiv.org/abs/1312.4928
We consider the values at proper fractions of the arithmetic gamma function and the values at positive integers of the zeta function for F_q[theta] and provide complete algebraic independence results for them.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/0909.0096
Autor:
Anderson, Greg W, Thakur, Dinesh S
We provide a period interpretation for multizeta values (in the function field context) in terms of explicit iterated extensions of tensor powers of Carlitz motives (mixed Carlitz-Tate t-motives). We give examples of combinatorially involved relation
Externí odkaz:
http://arxiv.org/abs/0902.1180