Results 41 to 50 of about 3,648 (151)
Rapid Land Surface Uplift and Groundwater Recovery Observed During the Syrian War
Geophysical Research Letters, Volume 53, Issue 7, 16 April 2026.Abstract Recent geopolitical upheaval in Syria is driving regional growth by returning populations, which increases demands on water resources. In northwest Syria, widespread cropland abandonment during the Syrian War starting in 2011 drastically changed the hydrological regime of the region.
Saeed Mhanna +5 more
wiley +1 more source
Families of generalized Kloosterman sums [PDF]
, 2013 We construct p-adic relative cohomology for a family of toric exponential sums which generalize the classical Kloosterman sums. Under natural hypotheses such as quasi-homogeneity and nondegeneracy, this cohomology is acyclic except in the top dimension ...
Haessig, C. Douglas, Sperber, Steven
core
The second moment of sums of Hecke eigenvalues II
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let f$f$ be a holomorphic Hecke cusp form of weight k$k$ for SL2(Z)$\mathrm{SL}_2(\mathbb {Z})$, and let (λf(n))n⩾1$(\lambda _f(n))_{n\geqslant 1}$ denote its sequence of normalised Hecke eigenvalues. We compute the first and second moments of the sums S(x,f)=∑x⩽n⩽2xλf(n)$\mathcal {S}(x,f)=\sum _{x\leqslant n\leqslant 2x} \lambda _f(n)$, on ...
Ned Carmichael
wiley +1 more source
Visual properties of generalized Kloosterman sums [PDF]
, 2016 For a positive integer m and a subgroup A of the unit group (Z/mZ)x, the corresponding generalized Kloosterman sum is the function K(a, b, m, A) = ΣuEA e(au+bu-1/m).
Burkhardt, Paula, \u2716 +5 more
core +1 more source
Non‐vanishing of Poincaré series on average
Mathematika, Volume 72, Issue 2, April 2026.Abstract We study when Poincaré series for congruence subgroups do not vanish identically. We show that almost all Poincaré series with suitable parameters do not vanish when either the weight k$k$ or the index m$m$ varies in a dyadic interval. Crucially, analyzing the problem ‘on average’ over these weights or indices allows us to prove non‐vanishing ...
Ned Carmichael, Noam Kimmel
wiley +1 more source
Distribution of integer points on determinant surfaces and a mod‐p analogue
Mathematika, Volume 72, Issue 2, April 2026.Abstract We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form xy−zw=r$xy-zw=r$, where r$r$ is a non‐zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables x,y,z,w$x, y, z, w$ as well as of r$r$.
Satadal Ganguly, Rachita Guria
wiley +1 more source
Large sieve inequalities for exceptional Maass forms and the greatest prime factor of $n^2+1$
Forum of Mathematics, PiWe prove new large sieve inequalities for the Fourier coefficients $\rho _{j\mathfrak {a}}(n)$ of exceptional Maass forms of a given level, weighted by sequences $(a_n)$ with sparse Fourier transforms – including two key types of sequences ...
Alexandru Pascadi
doaj +1 more source
Crop Science, Volume 66, Issue 2, March/April 2026.Abstract Solanum tuberosum L. (potato) is the world's most important vegetable crop, and developing improved cultivars is paramount for global food security. The efficacy of the genomic prediction models that accelerate breeding and genome‐wide association studies (GWAS) depends on large, high‐quality phenotypic datasets, which are often associated ...
Trine Aalborg +5 more
wiley +1 more source
The Lifting of Kloosterman Sums
Journal of Number Theory, 1995 To prove the relative trace formula for \(\text{GL}(2)\) [see \textit{H. Jacquet} and the author, Bull. Soc. Math. Fr. 120, 263-295 (1992; Zbl 0785.11032), the author, J. Reine Angew. Math. 400, 57-121 (1989; Zbl 0665.10020)]\ Jacquet and the author have shown that there are certain identities for local Kloosterman sums. On basis of those local results
openaire +2 more sources
Potato dihaploids uncover diverse alleles to facilitate diploid potato breeding
The Plant Genome, Volume 19, Issue 1, March 2026.Abstract Commercial potato (Solanum tuberosum) in North America is a clonal autotetraploid crop, which complicates breeding. Efforts are underway to convert potato to a diploid inbred‐hybrid crop, allowing breeders to more quickly meet market and environmental demands.
Sapphire Coronejo +27 more
wiley +1 more source