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Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/172509
Description: 8 page(s)
Full Text: Full Text
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/174485
Description: 6 page(s)
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/183072
Description: 14 page(s)
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/218019
Description: We obtain several versions of the sum-product theorem with k-fold sums and product sets. We also give several applications of these estimates.
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/205670
Description: We obtain several versions of the sum-product theorem with k-fold sums and product sets. We also give several applications of these estimates.
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/144773
Description: Given a prime p, the Fermat quotient qp(u) of u with gcd (u,p)=1 is defined by the conditions qp(u) ≡ up-1-1/p mod p, -< qp (u) ≤ p -1. We derive a new bound on multiplicative character sums with Ferm ... More
Full Text: Full Text
Reviewed: Reviewed
Date: 2011
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/157964
Description: 13 page(s)
Reviewed: Reviewed
Date: 2011
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/136401
Description: We give asymptotic formulas for the number of biquadratic extensions of ℚ that admit a quadratic extension which is a Galois extension of ℚ with a prescribed Galois group, for example, with a Galois g ... More
Full Text: Full Text
Reviewed: Reviewed
Date: 2011
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/160065
Description: 19 page(s)
Reviewed: Reviewed
Date: 2011
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/140204
Description: J. Bourgain and the author have recently estimated exponential sums with consecutive modular roots θ1/n (mod p), where θ is of multiplicative order t ≥ pε modulo a prime p (for some fixed ε > 0) and n ... More
Reviewed: Reviewed
Date: 2011
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/157970
Description: 11 page(s)
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/151252
Description: We estimate multiplicative character sums along the orbits of a class of nonlinear recurrence vector sequences. In the one-dimensional case, only much weaker estimates are known and our results have n ... More
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/154328
Description: 30 page(s)
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/179161
Description: 9 page(s)
Reviewed: Reviewed
Date: 2011
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/163352
Description: We estimate the number of possible degree patterns of k-lacunary polynomials of degree t<p which split completely modulo p. The result is based on a combination of a bound on the number of zeros of la ... More
Reviewed: Reviewed