Results 11 to 20 of about 4,354 (265)
Elliptic curves, modular forms, and the associated exponential sums [PDF]
, 2023 This thesis focuses on the various arithmetic aspects of elliptic curves and modular forms. Employing the exponential sum estimates obtained from sum-product estimates for finite fields, we estimate exponential sums linked to linear recurrence sequences ...
Bhakta, Subham
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Exponential sums related to Maass forms [PDF]
, 2019 We estimate short exponential sums weighted by the Fourier coefficients of a Maass form and discuss how the results depend on the growth of the Fourier coefficients in question.
Vesalainen, Esa V., Jaasaari, Jesse
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Mordell’s exponential sum estimate revisited [PDF]
Journal of the American Mathematical Society, 2005 The aim of this paper is to extend recent work of S. Konyagin and the author on Gauss sum estimates for large degree to the case of ‘sparse’ polynomials. In this context we do obtain a nearly optimal result, improving on the works of Mordell and of Cochrane and Pinner.
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Topics in Equidistribution and Exponential Sums [PDF]
, 2022 In this thesis, we consider a few problems connected to the exponential sums which is one of the most important topics in analytic number theory. In the first part, we study the distribution of prime numbers in special subsets of integers and, in ...
Shubin, Andrei
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Exponential sums with reducible polynomials
Discrete Analysis, 2019 Exponential sums with reducible polynomials, Discrete Analysis 2019:15, 31 pp. A sequence $(a_n)$ of real numbers in the interval $[0,1]$ is said to be _equidistributed_ if for every subinterval $[a,b]$ of $[0,1]$, the proportion of the $a_n$ that live
Cécile Dartyge, Greg Martin
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Parameter estimation for exponential sums by approximate Prony method [PDF]
Signal Processing, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniel Potts, Manfred Tasche
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Multiple exponential and character sums with monomials [PDF]
, 2014 We obtain new bounds of multivariate exponential sums with monomials, when the variables run over rather short intervals. Furthermore, we use the same method to derive estimates on similar sums with multiplicative characters to which previously known ...
Igor E. Shparlinski +2 more
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On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]
, 2005 Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
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, 2023 We combine two of Igusa's conjectures with recent semi-continuity results by Musta\c{t}\u{a} and Popa to form a new, natural conjecture about bounds for exponential sums.
Nguyen, Kien Huu, Cluckers, Raf
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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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