We prove three conjectures of Tsukano about exponential sums stated in his Master’s thesis written at Osaka University. These conjectures are variations of earlier conjectures made by Lee and Weintraub which were first proved by Ibukiyama and Saito
We give new bounds of exponential sums with sequences of iterations of Dickson polynomials over prim...
This thesis considers four distinct problems in the area of exponential and character sums. The stra...
AbstractIn this paper, we provide a new bound for exponential sums in one variable. This new bound g...
We prove three conjectures of Tsukano about exponential sums stated in his Master’s thesis written a...
In this thesis, we prove a dual version of an identity first conjectured by Lee and Weintraub and la...
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...
We prove the intersection of Igusa's conjecture in [10, Introduction] and the Denef-Sperber conjectu...
We prove the remaining part of the conjecture by Denef and Sperber [Denef, J. and Sperber, S., Expon...
AbstractWe give estimates of two exponential sums over finite fields for which Weil's estimates fail...
These notes arose from my Cambridge Part III course on Additive Combinatorics, given in Lent Term 20...
We propose a new conjecture on some exponential sums. These particular sums have not apparently bee...
We propose a new conjecture on some exponential sums. These particular sums have not apparently been...
In this paper we prove Shapiro's 1958 Conjecture on exponential polyno-mials, assuming Schanuel's Co...
Abstract In this paper, we present some new inequalities for sums of exponential functions which imp...
We give new bounds of exponential sums with sequences of iterations of Dickson polynomials over prim...
This thesis considers four distinct problems in the area of exponential and character sums. The stra...
AbstractIn this paper, we provide a new bound for exponential sums in one variable. This new bound g...
We prove three conjectures of Tsukano about exponential sums stated in his Master’s thesis written a...
In this thesis, we prove a dual version of an identity first conjectured by Lee and Weintraub and la...
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...
We prove the intersection of Igusa's conjecture in [10, Introduction] and the Denef-Sperber conjectu...
We prove the remaining part of the conjecture by Denef and Sperber [Denef, J. and Sperber, S., Expon...
AbstractWe give estimates of two exponential sums over finite fields for which Weil's estimates fail...
These notes arose from my Cambridge Part III course on Additive Combinatorics, given in Lent Term 20...
We propose a new conjecture on some exponential sums. These particular sums have not apparently bee...
We propose a new conjecture on some exponential sums. These particular sums have not apparently been...
In this paper we prove Shapiro's 1958 Conjecture on exponential polyno-mials, assuming Schanuel's Co...
Abstract In this paper, we present some new inequalities for sums of exponential functions which imp...
We give new bounds of exponential sums with sequences of iterations of Dickson polynomials over prim...
This thesis considers four distinct problems in the area of exponential and character sums. The stra...
AbstractIn this paper, we provide a new bound for exponential sums in one variable. This new bound g...
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