More calculations on determinant evaluations.
More cubic surfaces violating the Hasse principle
We generalize L. J. Mordell’s construction of cubic surfaces for which the Hasse principle fails.
More exact solutions to Waring's problem for finite fields
More monotonicity theorems for partitions.
More on Divisibility Criteria for Selected Primes
This paper is a continuation of [19], where the divisibility criteria for initial prime numbers based on their representation in the decimal system were formalized. In the current paper we consider all primes up to 101 to demonstrate the method presented in [7].
More on evaluating determinants
More on inhomogeneous diophantine approximation
For an irrational real number and real number we consider the inhomogeneous approximation constantvia the semi-regular negative continued fraction expansion of
More on the distribution of the Fibonacci numbers modulo .
More on the Fibonacci sequence and Hessenberg matrices.
More precise Pair Correlation Conjecture on the zeros of the Riemann zeta function
More than 41% of the zeros of the zeta function are on the critical line
More than two fifths of the zeros of the Riemann zeta function are on the critical line.
Morphic and automatic words: maximal blocks and Diophantine approximation
Morphismes sturmiens et règles de Rauzy
Nous donnons une caractérisation complète de tous les morphismes binaires qui préservent les mots sturmiens et montrons que les mots infinis engendrés par ces morphismes sont rigides.
Motives for Hilbert modular forms.
Motives for modular forms.
Motives over totally real fields and -adic -functions
Special values of certain functions of the type are studied where is a motive over a totally real field with coefficients in another field , andis an Euler product running through maximal ideals of the maximal order of andbeing a polynomial with coefficients in . Using the Newton and the Hodge polygons of one formulate a conjectural criterium for the existence of a -adic analytic continuation of the special values. This conjecture is verified in a number of cases related to...
Motivic Artin -functions and a motivic Tamagawa number. (Fonctions d'Artin et nombre de Tamagawa motiviques.)
Motivic cohomology and unramified cohomology of quadrics
This is the last of a series of three papers where we compute the unramified cohomology of quadrics in degree up to 4. Complete results were obtained in the two previous papers for quadrics of dimension and . Here we deal with the remaining dimensions between 5 and 10. We also prove that the unramified cohomology of Pfister quadrics with divisible coefficients always comes from the ground field, and that the same holds for their unramified Witt rings. We apply these results to real quadrics....
Motivic equivalence of quadratic forms.