Stability of the Levi-Civita tensors and an Alon?Tarsi type theorem
Abstract ? Consider a finite positive integer. If it is even, divide it by 2, and if it is odd, multiply it by 3 and add.
On the Hodge and Betti Numbers of Hyper-Kähler ManifoldsThe author proves an algebraicity theorem for the periods of parabolic forms of any weight for the full modular group, gives explicit formulas for the coeffi~. Compositions with an Odd Number of Parts, and Other Congruencesdir by 2, 3, 5. Exercise (a) Show there no 22 consecutive integers each of which is der by at least one of 2,3,5,7,11,13. (b) Show there are 21. PERIODS OF PARABOLIC FORMS* AND p-ADIC HECKE SERIESFor the next case, k = 11, N. Burshtein [9] found that there are exactly 17 solutions in distinct odd numbers satisfying xi ? {3? · 5? · 7? }.
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