Zobrazeno 1 - 10
of 11
pro vyhledávání: '"H. Gopalkrishna Gadiyar"'
Publikováno v:
The Ramanujan Journal. 21:99-122
In the sixth chapter of his notebooks, Ramanujan introduced a method of summing divergent series which assigns to the series the value of the associated Euler-MacLaurin constant that arises by applying the Euler-MacLaurin summation formula to the par
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de49131241b1e31d71cc701ef18ac918
https://doi.org/10.1007/s11139-009-9166-0
https://doi.org/10.1007/s11139-009-9166-0
Publikováno v:
Colloquium Mathematicum. 116:1-14
It is well known that the repeated square and multiply algorithm is an efficient way of modular exponentiation. The obvious question to ask is if this algorithm has an inverse which would calculate the discrete logarithm efficiently. The technical hi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::120796675b697c275b08fbb4994939f2
https://doi.org/10.4064/cm116-1-1
https://doi.org/10.4064/cm116-1-1
Publikováno v:
Bulletin of the Korean Mathematical Society. 45:277-283
The paper deals with the values at the negative integers ofa certain Dirichlet series related to the Riemann zeta function and withthe expression of these values in terms of Bernoulli numbers. 1. IntroductionWe consider the function(1) h ( s ) =X 1n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3efb3cac46806f2411eb9f581a55e1eb
https://doi.org/10.4134/bkms.2008.45.2.277
https://doi.org/10.4134/bkms.2008.45.2.277
Publikováno v:
ITW
We define the entropy of an orthogonal matrix O/sup i//sub j./ The entropy of the i/sup th/ row can have the maximum value ln n, which is attained when each element of the row is /spl plusmn/1//spl radic/n. This gives the bound, H{O/sup i//sub j/} /s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3d514b8aff360ce6f1e5eceae4e15ba
https://doi.org/10.1088/0305-4470/36/7/103
https://doi.org/10.1088/0305-4470/36/7/103
Autor:
H. Gopalkrishna Gadiyar, R. Padma
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 269:503-510
The Wiener{Khintchine formula plays a central role in statistical mechanics. It is shown here that the problem of prime pairs is related to autocorrelation and hence to a Wiener{Khintchine formula. \Experimental" evidence is given for this. c 1999 El
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd7d850bf6c8f39ce725af715cc87c51
https://doi.org/10.1016/s0378-4371(99)00171-5
https://doi.org/10.1016/s0378-4371(99)00171-5
We study three special Dirichlet series, two of them alternating, related to the Riemann zeta function. These series are shown to have extensions to the entire complex plane and we find their values at the negative integers (or residues at poles). Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5e37d701ba753cfd7cd94a2d5e6f8af
Publikováno v:
Progress in Cryptology-INDOCRYPT 2004 ISBN: 9783540241300
INDOCRYPT
INDOCRYPT
Applying Hensel’s lemma to the discrete logarithm problem over prime fields reveals the rich geometric and algebraic structure underlying the problem. It is shown that the problem has links to cocycles, connections, group extensions and crystalline
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e72aed6094e81db1f3f21f831dcaf83
https://doi.org/10.1007/978-3-540-30556-9_24
https://doi.org/10.1007/978-3-540-30556-9_24
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