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special values

by Thomas Geisser , 2004
"... cohomology over finite fields and ..."
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cohomology over finite fields and

SPECIAL VALUES OF MULTIPLE POLYLOGARITHMS

by Jonathan M. Borwein, David M. Bradley, David J. Broadhurst, Petr Lisonek , 1999
"... Historically, the polylogarithm has attracted specialists and nonspecialists alike withitslovely evaluations. Much the same can be said for Euler sums (or multiple harmonic sums), which, within the past decade, have arisen in combinatorics, knot theory and high-energy physics. More recently, we ha ..."
Abstract - Cited by 88 (23 self) - Add to MetaCart
Historically, the polylogarithm has attracted specialists and nonspecialists alike withitslovely evaluations. Much the same can be said for Euler sums (or multiple harmonic sums), which, within the past decade, have arisen in combinatorics, knot theory and high-energy physics. More recently, we have been forced to consider multidimensional extensions encompassing the classical polylogarithm, Euler sums, and the Riemann zeta function. Here, we provide a general framework within which previously isolated results can now be properly understood. Applying the theory developed herein, we prove several previously conjectured evaluations, including an intriguing conjecture of Don Zagier.

Special Values of Multidimensional Polylogarithms

by Jonathan M. Borwein, David M. Bradley, David J. Broadhurst, Petr Lisonek - TRANS. AMER. MATH. SOC , 1998
"... Historically, the polylogarithm has attracted specialists and non-specialists alike with its lovely evaluations. Much the same can be said for Euler sums (or multiple harmonic sums), which, within the past decade, have arisen in combinatorics, knot theory and high-energy physics. More recently, w ..."
Abstract - Cited by 20 (12 self) - Add to MetaCart
Historically, the polylogarithm has attracted specialists and non-specialists alike with its lovely evaluations. Much the same can be said for Euler sums (or multiple harmonic sums), which, within the past decade, have arisen in combinatorics, knot theory and high-energy physics. More recently, we have been forced to consider multidimensional extensions encompassing the classical polylogarithm, Euler sums, and the Riemann zeta function. Here, we provide a general framework within which previously isolated results can now be properly understood. Applying the theory developed herein, we prove several previously conjectured evaluations, including a longstanding conjec...

FUNCTORIALITY AND SPECIAL VALUES OF L-FUNCTIONS

by A. Raghuram, Freydoon Shahidi
"... Abstract. This is a semi-expository article concerning Langlands functoriality and Deligne’s conjecture on the special values of L-functions. The emphasis is on symmetric power L-functions associated to a holomorphic cusp form. Contents ..."
Abstract - Cited by 5 (2 self) - Add to MetaCart
Abstract. This is a semi-expository article concerning Langlands functoriality and Deligne’s conjecture on the special values of L-functions. The emphasis is on symmetric power L-functions associated to a holomorphic cusp form. Contents

The Byzantine Generals Problem,"

by L Lamport - ACM Transactions on Programming Languages and Systems, , 1982
"... Abstract The Byzantine Generals Problem requires processes to reach agreement upon a value even though some of them may fad. It is weakened by allowing them to agree upon an "incorrect" value if a failure occurs. The transaction eormmt problem for a distributed database Js a special case ..."
Abstract - Cited by 1561 (6 self) - Add to MetaCart
Abstract The Byzantine Generals Problem requires processes to reach agreement upon a value even though some of them may fad. It is weakened by allowing them to agree upon an "incorrect" value if a failure occurs. The transaction eormmt problem for a distributed database Js a special case

Special values of the hypergeometric series

by Akihito Ebisu , 2014
"... ..."
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Abstract not found

Integral Motives and Special Values of . . .

by James S. Milne, Niranjan Ramachandran , 2002
"... For each field k, we define a category of rationally decomposed mixed motives with Z-coefficients. When k is finite, we show that the category is Tannakian, and we prove formulas relating the behaviour of zeta functions near integers ..."
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For each field k, we define a category of rationally decomposed mixed motives with Z-coefficients. When k is finite, we show that the category is Tannakian, and we prove formulas relating the behaviour of zeta functions near integers

Special Values of Zeta:

by Abdul Hassen, Hieu D. Nguyen
"... s−1 1 1 ∞ x ζ () s = ∑ = dx (Re() s> 1) s 0 x n Γ s e −1 n= 1 s = σ + it (Complex variable) ..."
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s−1 1 1 ∞ x ζ () s = ∑ = dx (Re() s> 1) s 0 x n Γ s e −1 n= 1 s = σ + it (Complex variable)

Special Values of Generalized Polylogarithms

by S. A. Zlobin
"... ar ..."
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Abstract not found

generated by special values

by unknown authors
"... the transcendental degrees of the elds ..."
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the transcendental degrees of the elds
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