Let r≧2 be a fixed integer. Any positive integer n can be uniquely written in the form (1) n=Σ^k_f=1 afr^k-j=a1a2 ･･･ak, where each a is one of 0,1, ･･･, r-1 and ..
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
In this note, by combining the work of Amiot–Iyama–Reiten and Thanhoffer de Völcsey–Van den Bergh on...
Let \u3c8K be the Chebyshev function of a number field K. Let \u3c8K(1)(x) := 2b0x\u3c8K(t) dt and \...
Let L(s, X) be a Dirichlet L-function, where X is a nonprincipal character (mod q) and s = σ + it
A direct proof of the resolution of the identity in the odd sector of the Fock space in terms of squ...
Doctor of PhilosophyDepartment of MathematicsTodd E. CochraneLet $p$ be an odd prime and $\gamma(k,p...
We give nontrivial bounds in various ranges for character sums of the form ∑n S(x,y) χ(R1(n))eq(R2...
AbstractLet p≡1(mod4) be a prime. Let a,b∈Z with p∤a(a2+b2). In the paper we mainly determine (b+a2+...
AbstractLet m be a positive integer, let r be a prime such that 2 is a primitive root modulo rm, and...
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
AbstractThe n-th product level of a skew–field D, psn(D), is a generalization of the n-th level of a...
AbstractLet a and b be positive integers and let p be an odd prime such that p=ax2+by2 for some inte...
An improved estimate is given for |θ (x) − x|, where θ (x) = p≤x log p. Four applications are give...
AbstractIn 1992, Strauss, Shallit and Zagier proved that for any positive integer a,∑k=03a−1(2kk)≡0(...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
In this note, by combining the work of Amiot–Iyama–Reiten and Thanhoffer de Völcsey–Van den Bergh on...
Let \u3c8K be the Chebyshev function of a number field K. Let \u3c8K(1)(x) := 2b0x\u3c8K(t) dt and \...
Let L(s, X) be a Dirichlet L-function, where X is a nonprincipal character (mod q) and s = σ + it
A direct proof of the resolution of the identity in the odd sector of the Fock space in terms of squ...
Doctor of PhilosophyDepartment of MathematicsTodd E. CochraneLet $p$ be an odd prime and $\gamma(k,p...
We give nontrivial bounds in various ranges for character sums of the form ∑n S(x,y) χ(R1(n))eq(R2...
AbstractLet p≡1(mod4) be a prime. Let a,b∈Z with p∤a(a2+b2). In the paper we mainly determine (b+a2+...
AbstractLet m be a positive integer, let r be a prime such that 2 is a primitive root modulo rm, and...
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
AbstractThe n-th product level of a skew–field D, psn(D), is a generalization of the n-th level of a...
AbstractLet a and b be positive integers and let p be an odd prime such that p=ax2+by2 for some inte...
An improved estimate is given for |θ (x) − x|, where θ (x) = p≤x log p. Four applications are give...
AbstractIn 1992, Strauss, Shallit and Zagier proved that for any positive integer a,∑k=03a−1(2kk)≡0(...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
In this note, by combining the work of Amiot–Iyama–Reiten and Thanhoffer de Völcsey–Van den Bergh on...
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