Zobrazeno 1 - 10
of 20
pro vyhledávání: '"S. Srinivas Rau"'
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 41 (2022)
Let $K=Q(\sqrt{d})$ be a quadratic field with discriminant $d$. It is shown that $\sum\limits_{(\frac{d}{p})=+1,_{p~ prime}}\frac{1}{p}$ and $\sum\limits_{(\frac{d}{q})=-1,_{q~ prime}}\frac{1}{q}$ are both divergent. Two different approaches are give
Externí odkaz:
https://doaj.org/article/57bc1b49574c4c1c83485cde282e6e56
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 31, Iss 2, Pp 109-111 (2013)
Let d be a squarefree integer and consider the subclass of primes with Legendre symbol ( d/p ) = +1. It is shown that for x large enough (x; 2x] contain a prime of this type.
Externí odkaz:
https://doaj.org/article/7ef4274e8cbf4ccc9bb8b91e6278c203
Autor:
S. Srinivas Rau, Sudhamsh Reddy
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 31, Iss 2, Pp 279-280 (2013)
Isospectral flat connexions are constructed for higher rank bundles over compact Riemann surfaces
Externí odkaz:
https://doaj.org/article/7dc896dcf51d405fb9b12b852a1ba703
Publikováno v:
AIP Conference Proceedings.
Let d be a squarefree integer. We prove that (i) ∑nμ(n)nd(n′) converges to zero, where n′ is the product of prime divisors of n with (dn)=+1. We use the Prime Number Theorem. (ii) ∏(dp)=+1(1−1ps) is not analytic ar s=1, nor is ∏(dp)=−1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e033a7c327f850dff4d029c44ea39cf
https://doi.org/10.1063/5.0014600
https://doi.org/10.1063/5.0014600
Publikováno v:
AIP Conference Proceedings.
Let K=Q(d) be a quadratic field with discriminant d. It is shown that Ld(1)Ld(2)≤(ζ(2)ζ(3))∏p|d(1+1p). We give bounds for the product ∏p|d(1+1p).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64e4543ed9bd20c38f06b2e06fc89f4b
https://doi.org/10.1063/5.0014598
https://doi.org/10.1063/5.0014598
Publikováno v:
AIP Conference Proceedings.
Let d be a squarefree integer. We discuss convergence properties of Dirichlet series for Ld(s)Ld(s+1) and Ld(s)Ld(2s).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a5c93b91b85f59e498e9dd4b9895c108
https://doi.org/10.1063/5.0014601
https://doi.org/10.1063/5.0014601
Publikováno v:
Boletim da Sociedade Paranaense de Matemática. 38:83-87
Let d be a squarefree integer. We prove that(i) Pnμ(n)nd(n′) converges to zero, where n′ is the product of prime divisors of nwith ( dn ) = +1. We use the Prime Number Theorem.(ii) Q( dp )=+1(1 −1ps ) is not analytic at s=1, nor is Q( dp )=−
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c337d59cef89dc3baf2343b220b878ba
https://doi.org/10.5269/bspm.v38i2.34878
https://doi.org/10.5269/bspm.v38i2.34878
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 31, Iss 2, Pp 109-111 (2013)
Let d be a squarefree integer and consider the subclass of primes with Legendre symbol ( d/p ) = +1. It is shown that for x large enough (x; 2x] contain a prime of this type.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a18723676422df3a0255bc9c1c0bcac
http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15138
http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15138
Autor:
S. SRINIVAS RAU,B. UMA
Publikováno v:
Proceedings of Indian National Science Academy, Vol 33, Iss 10 (2015)
SQUAREFREE IDEALS AND AN ASSERTION OF RAMANUJAN
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doajarticles::c198c851bec72587521c6120704db080
https://insa.nic.in/writereaddata/UpLoadedFiles/PINSA/20006183_1595.pdf
https://insa.nic.in/writereaddata/UpLoadedFiles/PINSA/20006183_1595.pdf
Autor:
S. Srinivas Rau
Publikováno v:
Israel Journal of Mathematics. 76:229-235
We give an elementary proof of continuity of the determinant in the parameter for a smooth family of laplacians (of the same nullity) on a smooth family of holomorphic vector bundles over a compact complex manifold. Families of unitary flat bundles o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8806cd1863997111b535774f5f73a32
https://doi.org/10.1007/bf02782854
https://doi.org/10.1007/bf02782854