DOIAbstract
AbstractIn this note we consider some quantitative versions of conjectures made by Arnold related to Galois dynamics in finite fields. We refine some results by Shparlinski using exponential sum results
AbstractIn this note we consider some quantitative versions of conjectures made by Arnold related to Galois dynamics in finite fields. We refine some results by Shparlinski using exponential sum results
La rationalité des séries de Poincaré associées avec famille définissable des relations équivalences...
In the paper we prove a new upper bound for Heilbronn’s exponential sum and obtain some applications...
In this thesis we use modern developments in ergodic theory and uniform distribution theory to inves...
V. I. Arnold reveals some unexpected connections between Galois fields and other apparently unrelate...
We prove the remaining part of the conjecture by Denef and Sperber [Denef, J. and Sperber, S., Expon...
Motivated by Emmanuel Kowalski’s exponential sums over definable sets in finite fields, we generaliz...
This thesis establishes new quantitative results in several problems relating to the sum-product phe...
AbstractIn recent years, sum–product estimates in Euclidean space and finite fields have received gr...
AbstractWe give estimates of two exponential sums over finite fields for which Weil's estimates fail...
A uniform version of the Schanuel conjecture is discussed that has some model-theoretical motivation...
Dedicated to the memory of Professor Jun-ichi Igusa, source of inspiration. Abstract. — We propose a...
[[abstract]]We study the Davenport's problem for the Laurent series field over the finite field F_q....
© 2019 We prove a recent conjecture due to Cluckers and Veys on exponential sums modulo pm for m≥2 i...
We study the distribution of rational points on a certain exponential-algebraic surface and we prove...
AbstractWe define the p-density of a finite subset D⊂Nr, and show that it gives a sharp lower bound ...
La rationalité des séries de Poincaré associées avec famille définissable des relations équivalences...
In the paper we prove a new upper bound for Heilbronn’s exponential sum and obtain some applications...
In this thesis we use modern developments in ergodic theory and uniform distribution theory to inves...
V. I. Arnold reveals some unexpected connections between Galois fields and other apparently unrelate...
We prove the remaining part of the conjecture by Denef and Sperber [Denef, J. and Sperber, S., Expon...
Motivated by Emmanuel Kowalski’s exponential sums over definable sets in finite fields, we generaliz...
This thesis establishes new quantitative results in several problems relating to the sum-product phe...
AbstractIn recent years, sum–product estimates in Euclidean space and finite fields have received gr...
AbstractWe give estimates of two exponential sums over finite fields for which Weil's estimates fail...
A uniform version of the Schanuel conjecture is discussed that has some model-theoretical motivation...
Dedicated to the memory of Professor Jun-ichi Igusa, source of inspiration. Abstract. — We propose a...
[[abstract]]We study the Davenport's problem for the Laurent series field over the finite field F_q....
© 2019 We prove a recent conjecture due to Cluckers and Veys on exponential sums modulo pm for m≥2 i...
We study the distribution of rational points on a certain exponential-algebraic surface and we prove...
AbstractWe define the p-density of a finite subset D⊂Nr, and show that it gives a sharp lower bound ...
La rationalité des séries de Poincaré associées avec famille définissable des relations équivalences...
In the paper we prove a new upper bound for Heilbronn’s exponential sum and obtain some applications...
In this thesis we use modern developments in ergodic theory and uniform distribution theory to inves...
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