On the Factorization of the Relative Class Number in Terms of Frobenius Divisions.
On the factors of the period polynomial for finite fields
On the family of diophantine triples .
On the family of Thue equations x³ - (n-1)x²y - (n+2)xy² - y³ = k
On the Farey fractions with denominators in arithmetic progression.
On the Fermat periods of natural numbers.
On the Fibonacci -matrices of order .
On the finiteness of Pythagoras numbers of real meromorphic functions
We consider the 17th Hilbert Problem for global real analytic functions in a modified form that involves infinite sums of squares. Then we prove a local-global principle for a real global analytic function to be a sum of squares of global real meromorphic functions. We deduce that an affirmative solution to the 17th Hilbert Problem for global real analytic functions implies the finiteness of the Pythagoras number of the field of global real meromorphic functions, hence that of the field of real...
On the finiteness of for motives associated to modular forms.
On the first case of Fermat's last theorem.
On the First Case of Fermat's Last Theorem, II.
On the first power mean of -functions with the weight of general Kloosterman sums.
On the first sign change in Mertens' theorem
The function is known to change sign infinitely often, but so far all calculated values are positive. In this paper we prove that the first sign change occurs well before exp(495.702833165).
On the Fourier coefficients of modular forms
On the Fourier coefficients of modular forms. II.
On the Fourier coefficients of small positive powers of 0 ... .
On the Fourier expansions of Jacobi forms.
On the Fourier expansions of Jacobi forms of half-integral weight.
On the Fourth Moment of the Riemann Zeta Functions
On the fractional parts of cubic forms