Results 71 to 80 of about 11,043,146 (220)

Asymptotic behaviors of means of central values of automorphic $L$-functions for GL(2)

, 2014
Let $\mathbb{A}$ be the adele ring of a totally real algebraic number field $F$. We push forward an explicit computation of a relative trace formula for periods of automorphic forms along a split torus in $GL(2)$ from a square free level case done by ...
Sugiyama, Shingo
core   +1 more source

Triple sums of Kloosterman sums and the discrepancy of modular inverses

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract We investigate the distribution of modular inverses modulo positive integers c$c$ in a large interval. We provide upper and lower bounds for their box, ball, and isotropic discrepancy, thereby exhibiting some deviations from random point sets. The analysis is based, among other things, on a new bound for a triple sum of Kloosterman sums.
Valentin Blomer, Morten S. Risager, Igor E. Shparlinski   +2 more
wiley   +1 more source

The sum of a hybrid arithmetic function over a sparse sequence

AIMS Mathematics
Let $ \lambda_{f}(n) $ be the $ n $-th normalized Fourier coefficient of $ f $, which is a primitive holomorphic cusp form of even integral weight $ k\geq2 $ for the full modular group $ SL_2(\mathbb{Z}) $.
Huafeng Liu, Rui Liu
doaj   +1 more source

Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols

, 2010
We define two-parameter generalizations of Andrews' $(k+1)$-marked odd Durfee symbols and $2k$th symmetrized odd rank moments, and study the automorphic properties of some of their generating functions.
Andrews, Bruinier, CLAUDIA ALFES, Gasper, Humbert, JEREMY LOVEJOY, KATHRIN BRINGMANN, Ramanujan, Watson   +8 more
core   +1 more source

Parity of ranks of Jacobians of curves

Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.
Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser, Holly Green, Alexandros Konstantinou, Adam Morgan   +3 more
wiley   +1 more source

Flowering biology and nectary structure of Melissa officinalis L.

Acta Agrobotanica, 2012
The present study on lemon balm (Melissa officinalis L.) covered flowering biology, monitoring of pollinating insects and floral nectary structure. The micromorphology of epidermal cells of the nectary was investigated using scanning electron microscopy.
Mirosława Chwil
doaj   +1 more source

Higher derivative type II string effective actions, automorphic forms and E11

, 2011
By dimensionally reducing the ten-dimensional higher derivative type IIA string theory effective action we place constraints on the automorphic forms that appear in the effective action in lower dimensions.
A Basu, A Basu, A Basu, A Font, A Kleinschmidt, A Sen, A Sen, A Sen, B Julia, B Julia, B Pioline, C Hull, C Teitelboim, E Cremmer, E Cremmer, E Kiritsis, F Giani, F Gubay, F Riccioni, F Riccioni, F Riccioni, F Riccioni, Finn Gubay, I Campbell, I Schnakenburg, J Russo, JG Russo, JH Schwarz, JH Schwarz, JH Schwarz, M Huq, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, MR Gaberdiel, N Berkovits, N Berkovits, N Lambert, N Lambert, N Lambert, N Marcus, N Obers, N Obers, NA Obers, P West, PC West, PC West, PC West, PC West, PC West, PC West, Peter West, PP Cook, PS Howe, RI Nepomechie, S-J Rey   +61 more
core   +1 more source

Is High‐Touch Enough? Personalization‐Supporting Technology in Hotel Service: A Data‐Driven Approach

Strategic Change, Volume 34, Issue 4, Page 609-630, July 2025.
ABSTRACT The paper examines personalization‐supporting technologies (PST) in hotel service, differentiating between high‐touch (personal) and high‐tech (digital) technologies. It reveals that in the sampled hotel industry, high‐touch technologies are the preferred choice.
Kitti Hiezl, Petra Gyurácz‐Németh
wiley   +1 more source

Arithmetic Satake compactifications and algebraic Drinfeld modular forms

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley   +1 more source

The Ramanujan and Sato–Tate Conjectures for Bianchi modular forms

Forum of Mathematics, Pi
We prove the Ramanujan and Sato–Tate conjectures for Bianchi modular forms of weight at least $2$ . More generally, we prove these conjectures for all regular algebraic cuspidal automorphic representations of $\operatorname {\mathrm {GL}}_2 ...
George Boxer, Frank Calegari, Toby Gee, James Newton, Jack A. Thorne   +4 more
doaj   +1 more source