Mock Heegner Points and Congruent Numbers.
Mock modular forms and singular combinatorial series
A celebrated result of Bringmann and Ono shows that the combinatorial rank generating function exhibits automorphic properties after being completed by the addition of a non-holomorphic integral. Since then, automorphic properties of various related combinatorial families have been studied. Here, extending work of Andrews and Bringmann, we study general infinite families of combinatorial q-series pertaining to k-marked Durfee symbols, in which we allow additional singularities. We show that these...
Mod 2 normal numbers and skew products
Let E be an interval in the unit interval [0,1). For each x ∈ [0,1) define dₙ(x) ∈ 0,1 by , where t is the fractional part of t. Then x is called a normal number mod 2 with respect to E if converges to 1/2. It is shown that for any interval E ≠(1/6, 5/6) a.e. x is a normal number mod 2 with respect to E. For E = (1/6, 5/6) it is proved that converges a.e. and the limit equals 1/3 or 2/3 depending on x.
Mod p Hecke Operators and Congruences Between Modular Forms.
Mod structure of alternating and non-alternating multiple harmonic sums
The well-known Wolstenholme’s Theorem says that for every prime the -st partial sum of the harmonic series is congruent to modulo . If one replaces the harmonic series by for even, then the modulus has to be changed from to just . One may consider generalizations of this to multiple harmonic sums (MHS) and alternating multiple harmonic sums (AMHS) which are partial sums of multiple zeta value series and the alternating Euler sums, respectively. A lot of results along this direction...
Mod p³ analogues of theorems of Gauss and Jacobi on binomial coefficients
Modèle de Legendre d'une courbe elliptique à multiplication complexe et monogénéite d'anneaux d'entiers II
Modèle de Legendre d'une courbe elliptique à multiplication complexe et monogénéité d'anneaux d'entiers. I
Modeling snow crystal growth. I: Rigorous results for Packard's digital snowflakes.
Modelování ve vědě a technice
Models of arithmetic and the 1-3-1 lattice
Modification on Semi-Completeness for Integer Sequences
Modifications de nombres normaux par des transducteurs
Modifications of the Eratosthenes sieve
We discuss some cancellation algorithms such that the first non-cancelled number is a prime number p or a number of some specific type. We investigate which numbers in the interval (p,2p) are non-cancelled.
Modified proof of a local analogue of the Grothendieck conjecture
A local analogue of the Grothendieck Conjecture is an equivalence between the category of complete discrete valuation fields with finite residue fields of characteristic and the category of absolute Galois groups of fields together with their ramification filtrations. The case of characteristic 0 fields was studied by Mochizuki several years ago. Then the author of this paper proved it by a different method in the case (but with no restrictions on the characteristic of ). In this paper...
Modular automorphisms of the Drinfeld modular curves X0 (n).
Modular case of Levinson's theorem
We evaluate the integral mollified second moment of L-functions of primitive cusp forms and we obtain, for such L-functions, an explicit positive proportion of zeros which lie on the critical line.
Modular curves and 11-rank of quadratic fields. (Courbes modulaires et 11-rang de corps quadratiques.)
Modular Curves and the Class Group of Q(...p).
Modular curves and the Eisenstein ideal