Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Dinesh S Thakur"'
Autor:
Dinesh S Thakur
This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations),
Publikováno v:
Journal de Théorie des Nombres de Bordeaux
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::127fdbf94de77b51b63bf343a7fa61f0
https://hdl.handle.net/21.11116/0000-0009-5244-E21.11116/0000-0009-5242-0
https://hdl.handle.net/21.11116/0000-0009-5244-E21.11116/0000-0009-5242-0
Autor:
Dinesh S. Thakur
Publikováno v:
$t$-Motives: Hodge Structures, Transcendence and Other Motivic Aspects
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae0661415be7d2438d03c3bc453b07dd
https://doi.org/10.4171/198-1/6
https://doi.org/10.4171/198-1/6
Autor:
Dinesh S. Thakur
Publikováno v:
Resonance
In this article, I reminisce about my fond interactions with John Torrence Tate (13 March, 1925-16 October, 2019), my teacher, mentor and PhD advisor. It is hard to trace the influence of Tate’s work on other works accurately, as the basic objects,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42a3d5d0f7c93c17c933e5a4b22615dd
https://hdl.handle.net/21.11116/0000-000A-55BB-421.11116/0000-000A-55B9-6
https://hdl.handle.net/21.11116/0000-000A-55BB-421.11116/0000-000A-55B9-6
Autor:
Dinesh S. Thakur, Gebhard Böckle
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 29:963-995
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f7edae4c6e9bcce7dc99107f19e84b1
https://doi.org/10.5802/jtnb.1008
https://doi.org/10.5802/jtnb.1008
Autor:
Dinesh S. Thakur
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 29:997-1023
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5444f03a6dc30361fdf1d7647e7343ca
https://doi.org/10.5802/jtnb.1009
https://doi.org/10.5802/jtnb.1009
Publikováno v:
Finite Fields and Their Applications. 37:344-356
In contrast to the 'universal' multizeta shuffle relations, when the chosen infinite place of the function field over F q is rational, we show that in the non-rational case, only certain interesting shuffle relations survive, and the F q -linear span
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::428f618a2204142eef602c2ab4552cb8
https://doi.org/10.1016/j.ffa.2015.10.006
https://doi.org/10.1016/j.ffa.2015.10.006
Autor:
Dinesh S. Thakur
Publikováno v:
Resonance. 20:515-531
This is an expository article with the intent of briefly explaining the possible logic behind a 22-shruti model for the system of musical notes in Hindustani (i.e., North Indian) classical music. It will also be explained how this model is consistent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f2ca965523f61e00f3d349ec5427783
https://doi.org/10.1007/s12045-015-0211-6
https://doi.org/10.1007/s12045-015-0211-6
Autor:
Dinesh S. Thakur
Publikováno v:
Finite Fields and Their Applications. 32:192-206
We look at two analogs each for the well-known congruences of Fermat and Wilson in the case of polynomials over finite fields. When we look at them modulo higher powers of primes, we find interesting relations linking them together, as well as linkin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8aad200937e9eb010887673240be8a74
https://doi.org/10.1016/j.ffa.2014.07.004
https://doi.org/10.1016/j.ffa.2014.07.004
Autor:
Dinesh S. Thakur
Publikováno v:
Finite Fields and Their Applications. 32:171-191
In this brief expository survey, we explain some results and conjectures on various aspects of the study of the sums of integral powers of monic polynomials of a given degree over a finite field. The aspects include non-vanishing criteria, formulas a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ecba3e0cc4f48712a4433d133fcbf65f
https://doi.org/10.1016/j.ffa.2014.08.004
https://doi.org/10.1016/j.ffa.2014.08.004