Results 11 to 20 of about 67,818,891 (245)
A Chevalley-Warning approach to đť‘ť-adic estimates of character sums [PDF]
Proceedings of the American Mathematical Society, 1995 The elementary Chevalley-Warning congruence method is applied to obtain several p -adic estimates of character sums over finite fields.
Da Qing Wan
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Estimates for singular multiplicative character sums [PDF]
, 2005 Fondo Europeo de Desarrollo ...
Rojas LeĂłn, Antonio
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Estimates for trilinear and quadrilinear character sums
Revista Matemática IberoamericanaWe obtain new bounds on some trilinear and quadrilinear character sums, which are non-trivial starting from very short ranges of the variables. An application to an apparently new problem on oscillations of characters on differences between Farey fractions is given.
Étienne Fouvry +2 more
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A Note on Sums of Powers [PDF]
, 2007 We improve a result of Bennett concerning certain sequences involving sums of powers of positive ...
Gao, Peng
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Estimates for short character sums evaluated at homogeneous polynomials
Journal of the London Mathematical SocietyAbstract Let be a prime. We prove bounds on short Dirichlet character sums evaluated at a class of homogeneous polynomials in arbitrary dimensions. In every dimension, this bound is nontrivial for sums over boxes with side lengths as short as for any . Our methods capitalize on the relationship between characters mod and characters
Chu, Rena
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From Oscillatory Integrals and Sublevel Sets to Polynomial Congruences and Character Sums [PDF]
, 2010 We present a slight extension of a classical lemma of Hensel and give various applications to polynomial congruences and character sums; in particular, we give a new proof of a classical result of Hua on complete exponential sums.
James Wright, Wright, James
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An Algorithm for the explicit evaluation of GL(n, R) Kolsterman sums [PDF]
, 2009 An algorithm for the explicit evaluation of Kloosterman sums for GL(n, R) for n ≥2 and an implementation in the Mathematics package GL(n) pack are ...
Broughan, Kevin A.
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Vinogradov's mean value theorem via efficient congruencing [PDF]
, 2012 We obtain estimates for Vinogradov's integral that for the first time approach those conjectured to be the best possible. Several applications of these new bounds are provided.
Wooley, Trevor D., Trevor D. Wooley
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A Burgess-like subconvex bound for twisted L-functions [PDF]
, 2007 Let g be a cuspidal newform (holomorphic or Maass) of arbitrary level and nebentypus, X a primitive character of conductor q, and s a point on the critical line Rs = 1/2.
Michel, Philippe +6 more
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Three conjectures about character sums [PDF]
, 2023 We establish that three well-known and rather different looking conjectures about Dirichlet characters and their (weighted) sums, (concerning the Pólya–Vinogradov theorem for maximal character sums, the maximal admissible range in Burgess’ estimate for ...
Andrew Granville +3 more
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