Results 11 to 20 of about 16,792 (254)
Iwasawa theory for modular forms at supersingular primes [PDF]
Let f=\sum a_nq^n be a normalised eigen-newform of weight k\ge2 and p an odd prime which does not divide the level of f. We study a reformulation of Kato's main conjecture for f over the Zp-cyclotomic extension of Q.
Antonio Lei
core +2 more sources
Bilinear recurrences and addition formulae for hyperelliptic sigma functions [PDF]
The Somos 4 sequences are a family of sequences satisfying a fourth order bilinear recurrence relation. In recent work, one of us has proved that the general term in such sequences can be expressed in terms of the Weierstrass sigma function for an ...
Victor Z Enolskii +11 more
core +1 more source
Elliptic Hypergeometric Solutions to Elliptic Difference Equations [PDF]
It is shown how to define difference equations on particular lattices {x(n)}, n is an element of Z, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice).
Workshop on Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions +1 more
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Schlafli modular equations for generalized Weber functions [PDF]
Sets of appropriately normalized eta quotients, that we call level n Weber functions, are defined, and certain identities generalizing Weber function identities are proved for these functions.
William B. Hart, Hart, William B.
core +1 more source
Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems [PDF]
Morse Index Theorems for elliptic boundary value problems in multi-dimensions are proved under various boundary conditions. The theorems work for star-shaped domains and are based on a new idea of measuring the "oscillation" of the trace of the set of ...
Deng, Jian +1 more
core +1 more source
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
Path planning for simple wheeled robots : sub-Riemannian and elastic curves on SE(2) [PDF]
This paper presents a motion planning method for a simple wheeled robot in two cases: (i) where translational and rotational speeds are arbitrary and (ii) where the robot is constrained to move forwards at unit speed.
Biggs, James +3 more
core +1 more source
Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes
Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard +12 more
wiley +1 more source
Sigma function solution of the initial value problem for Somos 5 sequences [PDF]
The Somos 5 sequences are a family of sequences defined by a fifth order bilinear recurrence relation with constant coefficients. For particular choices of coefficients and initial data, integer sequences arise.
Hone, Andrew N.W.
core +1 more source

